technimatter: a new direction for sewm? · introduction t = 0 phase diagrams hot technimatter...
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INTRODUCTION T = 0 PHASE DIAGRAMS HOT TECHNIMATTER CONCLUSIONS
Technimatter: a new direction for SEWM?
Kimmo TuominenCP3-Origins,
University of Southern Denmark&
Helsinki Institute of Physics.
SEWM10, Montreal, 29/06-2/07/2010
INTRODUCTION T = 0 PHASE DIAGRAMS HOT TECHNIMATTER CONCLUSIONS
OUTLINE
INTRODUCTION
T = 0 PHASE DIAGRAMS
HOT TECHNIMATTER
CONCLUSIONS
INTRODUCTION T = 0 PHASE DIAGRAMS HOT TECHNIMATTER CONCLUSIONS
MOTIVATIONTraditionally SEWM meetings have been
I Mostly about EW (90s)I ... or mostly about S (00s)
æ
æ
æ
æ
æ
æ
æ
1996 1998 2000 2002 2004 2006 2008
0.2
0.4
0.6
0.8
1.0S
S + EW = 1, from availableproceedings.
Technimatter is Strong and Electroweak!
INTRODUCTION T = 0 PHASE DIAGRAMS HOT TECHNIMATTER CONCLUSIONS
MOTIVATIONTraditionally SEWM meetings have been
I Mostly about EW (90s)I ... or mostly about S (00s)
æ
æ
æ
æ
æ
æ
æ
1996 1998 2000 2002 2004 2006 2008
0.2
0.4
0.6
0.8
1.0S
S + EW = 1, from availableproceedings.
Technimatter is Strong and Electroweak!
INTRODUCTION T = 0 PHASE DIAGRAMS HOT TECHNIMATTER CONCLUSIONS
DYNAMICAL EWSB
Strong (i.e. QCD, Nf = 2):
I 〈uLuR + dLdR + h.c.〉 6= 0I SU(2)L × SU(2)R → SU(2)V, 3 GBs π±, π0.
and Electroweak:
〈qLqR〉 charged under electroweak, hence
SU(2)L ×U(1)Y〈QQ〉−→ U(1)em
W±,Z absorb the GBs and gain mass.I But: MW = gFπ = 30 MeV,I and pions not absorbed.
INTRODUCTION T = 0 PHASE DIAGRAMS HOT TECHNIMATTER CONCLUSIONS
DYNAMICAL EWSB
Strong (i.e. QCD, Nf = 2):
I 〈uLuR + dLdR + h.c.〉 6= 0I SU(2)L × SU(2)R → SU(2)V, 3 GBs π±, π0.
and Electroweak:
〈qLqR〉 charged under electroweak, hence
SU(2)L ×U(1)Y〈QQ〉−→ U(1)em
W±,Z absorb the GBs and gain mass.
I But: MW = gFπ = 30 MeV,I and pions not absorbed.
INTRODUCTION T = 0 PHASE DIAGRAMS HOT TECHNIMATTER CONCLUSIONS
DYNAMICAL EWSB
Strong (i.e. QCD, Nf = 2):
I 〈uLuR + dLdR + h.c.〉 6= 0I SU(2)L × SU(2)R → SU(2)V, 3 GBs π±, π0.
and Electroweak:
〈qLqR〉 charged under electroweak, hence
SU(2)L ×U(1)Y〈QQ〉−→ U(1)em
W±,Z absorb the GBs and gain mass.I But: MW = gFπ = 30 MeV,I and pions not absorbed.
INTRODUCTION T = 0 PHASE DIAGRAMS HOT TECHNIMATTER CONCLUSIONS
TECHNICOLOR (TC)
A new gauge sector with new fermionsI Techni-quark condensate 〈QLQR〉: Dynamical EWSB.I Fπ,TC = 246 GeV tuned to yield W±,Z masses.
I SM fermion masses from Extended TC (ETC), at higher energyscale ΛETC.
I Depending on chiral symmetry, many technipions.I These obtain masses from ETC,I but also flavor changing neutral current interactions arise!I ΛETC must be large to suppress FCNC (' 1000 TeV),I ...but then SM fermion masses small.
INTRODUCTION T = 0 PHASE DIAGRAMS HOT TECHNIMATTER CONCLUSIONS
TECHNICOLOR (TC)
A new gauge sector with new fermionsI Techni-quark condensate 〈QLQR〉: Dynamical EWSB.I Fπ,TC = 246 GeV tuned to yield W±,Z masses.I SM fermion masses from Extended TC (ETC),
αψψQQΛ2
ETC,
at higher energy scale ΛETC.
I Depending on chiral symmetry, many technipions.I These obtain masses from ETC,I but also flavor changing neutral current interactions arise!I ΛETC must be large to suppress FCNC (' 1000 TeV),I ...but then SM fermion masses small.
INTRODUCTION T = 0 PHASE DIAGRAMS HOT TECHNIMATTER CONCLUSIONS
TECHNICOLOR (TC)
A new gauge sector with new fermionsI Techni-quark condensate 〈QLQR〉: Dynamical EWSB.I Fπ,TC = 246 GeV tuned to yield W±,Z masses.I SM fermion masses from Extended TC (ETC),
αψψQQΛ2
ETC,
at higher energy scale ΛETC.I Depending on chiral symmetry, many technipions.
I These obtain masses from ETC,I but also flavor changing neutral current interactions arise!I ΛETC must be large to suppress FCNC (' 1000 TeV),I ...but then SM fermion masses small.
INTRODUCTION T = 0 PHASE DIAGRAMS HOT TECHNIMATTER CONCLUSIONS
TECHNICOLOR (TC)
A new gauge sector with new fermionsI Techni-quark condensate 〈QLQR〉: Dynamical EWSB.I Fπ,TC = 246 GeV tuned to yield W±,Z masses.I SM fermion masses from Extended TC (ETC),
αψψQQΛ2
ETC+ β
QQ QQΛ2
ETC,
at higher energy scale ΛETC.I Depending on chiral symmetry, many technipions.I These obtain masses from ETC,
I but also flavor changing neutral current interactions arise!I ΛETC must be large to suppress FCNC (' 1000 TeV),I ...but then SM fermion masses small.
INTRODUCTION T = 0 PHASE DIAGRAMS HOT TECHNIMATTER CONCLUSIONS
TECHNICOLOR (TC)
A new gauge sector with new fermionsI Techni-quark condensate 〈QLQR〉: Dynamical EWSB.I Fπ,TC = 246 GeV tuned to yield W±,Z masses.I SM fermion masses from Extended TC (ETC),
αψψQQΛ2
ETC+ β
QQ QQΛ2
ETC+ δ
ψψ ψψ
Λ2ETC
,
at higher energy scale ΛETC.I Depending on chiral symmetry, many technipions.I These obtain masses from ETC,I but also flavor changing neutral current interactions arise!
I ΛETC must be large to suppress FCNC (' 1000 TeV),I ...but then SM fermion masses small.
INTRODUCTION T = 0 PHASE DIAGRAMS HOT TECHNIMATTER CONCLUSIONS
TECHNICOLOR (TC)
A new gauge sector with new fermionsI Techni-quark condensate 〈QLQR〉: Dynamical EWSB.I Fπ,TC = 246 GeV tuned to yield W±,Z masses.I SM fermion masses from Extended TC (ETC),
αψψQQΛ2
ETC+ β
QQ QQΛ2
ETC+ δ
ψψ ψψ
Λ2ETC
,
at higher energy scale ΛETC.I Depending on chiral symmetry, many technipions.I These obtain masses from ETC,I but also flavor changing neutral current interactions arise!I ΛETC must be large to suppress FCNC (' 1000 TeV),
I ...but then SM fermion masses small.
INTRODUCTION T = 0 PHASE DIAGRAMS HOT TECHNIMATTER CONCLUSIONS
TECHNICOLOR (TC)
A new gauge sector with new fermionsI Techni-quark condensate 〈QLQR〉: Dynamical EWSB.I Fπ,TC = 246 GeV tuned to yield W±,Z masses.I SM fermion masses from Extended TC (ETC),
αψψQQΛ2
ETC+ β
QQ QQΛ2
ETC+ δ
ψψ ψψ
Λ2ETC
,
at higher energy scale ΛETC.I Depending on chiral symmetry, many technipions.I These obtain masses from ETC,I but also flavor changing neutral current interactions arise!I ΛETC must be large to suppress FCNC (' 1000 TeV),I ...but then SM fermion masses small.
INTRODUCTION T = 0 PHASE DIAGRAMS HOT TECHNIMATTER CONCLUSIONS
WALKING TECHNICOLOR
Walking features two scales, ΛETC � ΛTC
RG from ΛTC to ΛETC enhances 〈QQ〉,→ larger mf
INTRODUCTION T = 0 PHASE DIAGRAMS HOT TECHNIMATTER CONCLUSIONS
MINIMAL MODELS; HIGHER REPRESENTATIONS
β(g) =β0
(4π)3 g3 +β1
(4π)5 g5
FP : α∗ = −β0
β1(4π), χSB : αc =
π
3C2(R),
F
2AS
2S
2 3 4 5Nc
5
10
15
N f
Sannino, Tuominen ’04;
(alternative methods: Ryttov, Sannino ’07; Poppitz, Unsal ’09)
•Conformal window: αc >∼ α∗
•Lower boundary: αc ∼ α∗
•Phenomenology: S = Nf
12πd(R)small, minimize Nf .
I Nc = 2,Nf = 2, 2SI Nc = 3,Nf = 3, 2S
INTRODUCTION T = 0 PHASE DIAGRAMS HOT TECHNIMATTER CONCLUSIONS
MINIMAL MODELS; HIGHER REPRESENTATIONS
β(g) =β0
(4π)3 g3 +β1
(4π)5 g5
FP : α∗ = −β0
β1(4π), χSB : αc =
π
3C2(R),
F
2AS
2S
2 3 4 5Nc
5
10
15
N f
Sannino, Tuominen ’04;
(alternative methods: Ryttov, Sannino ’07; Poppitz, Unsal ’09)
•Conformal window: αc >∼ α∗
•Lower boundary: αc ∼ α∗
•Phenomenology: S = Nf
12πd(R)small, minimize Nf .
I Nc = 2,Nf = 2, 2SI Nc = 3,Nf = 3, 2S
INTRODUCTION T = 0 PHASE DIAGRAMS HOT TECHNIMATTER CONCLUSIONS
MINIMAL MODELS; HIGHER REPRESENTATIONS
β(g) =β0
(4π)3 g3 +β1
(4π)5 g5
FP : α∗ = −β0
β1(4π), χSB : αc =
π
3C2(R),
F
2AS
2S
2 3 4 5Nc
5
10
15
N f
Sannino, Tuominen ’04;
(alternative methods: Ryttov, Sannino ’07; Poppitz, Unsal ’09)
•Conformal window: αc >∼ α∗
•Lower boundary: αc ∼ α∗
•Phenomenology: S = Nf
12πd(R)small, minimize Nf .
I Nc = 2,Nf = 2, 2SI Nc = 3,Nf = 3, 2S
INTRODUCTION T = 0 PHASE DIAGRAMS HOT TECHNIMATTER CONCLUSIONS
MINIMAL MODELS; HIGHER REPRESENTATIONS
β(g) =β0
(4π)3 g3 +β1
(4π)5 g5
FP : α∗ = −β0
β1(4π), χSB : αc =
π
3C2(R),
F
2AS
2S
2 3 4 5Nc
5
10
15
N f
Sannino, Tuominen ’04;
(alternative methods: Ryttov, Sannino ’07; Poppitz, Unsal ’09)
•Conformal window: αc >∼ α∗
•Lower boundary: αc ∼ α∗
•Phenomenology: S = Nf
12πd(R)small, minimize Nf .
I Nc = 2,Nf = 2, 2SI Nc = 3,Nf = 3, 2S
INTRODUCTION T = 0 PHASE DIAGRAMS HOT TECHNIMATTER CONCLUSIONS
MINIMAL MODELS; HIGHER REPRESENTATIONS
β(g) =β0
(4π)3 g3 +β1
(4π)5 g5
FP : α∗ = −β0
β1(4π), χSB : αc =
π
3C2(R),
F
2AS
2S
2 3 4 5Nc
5
10
15
N f
Sannino, Tuominen ’04;
(alternative methods: Ryttov, Sannino ’07; Poppitz, Unsal ’09)
•Conformal window: αc >∼ α∗
•Lower boundary: αc ∼ α∗
•Phenomenology: S = Nf
12πd(R)small, minimize Nf .
I Nc = 2,Nf = 2, 2SI Nc = 3,Nf = 3, 2S
INTRODUCTION T = 0 PHASE DIAGRAMS HOT TECHNIMATTER CONCLUSIONS
TEST USING LATTICE
Recently, lot of interest in higher representations...I Motivated by applications to BSM...I in any case will learn a lot of strong dynamics!
INTRODUCTION T = 0 PHASE DIAGRAMS HOT TECHNIMATTER CONCLUSIONS
LATTICE SCORE...FIG. FROM E.NEILKeeping Score
Iwasaki et al. '04
Nc=3, fund.
Nf=0 4 8 12 16
Appelquist, Fleming, Neil '07, '09
Deuzeman, Lombardo, Pallante '08
Fodor et al. '09
Jin and Mawhinney '09 (unpublished)
Hasenfratz '09 (unpublished)
Fodor et al. '09
Appelquist, Fleming, Neil '07, '09
Deuzeman, Lombardo, Pallante '09
Jin and Mawhinney '09 (unpublished)
Heller '98
Hasenfratz '09
Fodor et al. '09Appelquist, Cohen, Schmaltz '99
Nc=2, fund.
Nf=0 4 8 12 16
Sui '01 (Columbia PhD thesis)
Hasenfratz '09
Fodor et al. '09
Appelquist, Terning, Wijewardhana '97
Appelquist, Terning, Wijewardhana '97
confined, <!!>"0
conformal, <!!>=0
unknown, <!!>=?
asym. freedom lost
lattice sim.
Nfc bound, estimate
Muraya, Nakamura, Nonaka '03
Skullerud et al. '04
Iwasaki et al. '04
Iwasaki et al. '04
Fodor et al. '09Yamada et al. '09
(unpublished)
Nc=3, sym.
Nf=0 4
Shamir, Svetitsky, DeGrand '08; DeGrand '09
Nc=2, adj.
Catterall, Giedt, Sannino, Schneible '08
Del Debbio, Patella, Pica '08; Del Debbio et al. '09
Nf=0 4
Hietanen, Rummukainen, Tuominen '09
INTRODUCTION T = 0 PHASE DIAGRAMS HOT TECHNIMATTER CONCLUSIONS
PHENOMENOLOGY: MWTC (MINIMAL WALKING TC)
SU(2) with Nf = 2 adjoint fermions (3 doublets).Witten anomaly: must exist additional lepton doublet.
I Phenomenologically viable: S = 12π = 0.16.
I Dietrich, Sannino, Tuominen ’05
I Dark matter candidates: Technibaryon, 4th generation ν,...(... Chris Kouvaris’ talk )
I Gudnason, Kouvaris, Sannino ’07
I Kouvaris ’07
I Kainulainen, Tuominen, Virkajarvi ’07, ’09
I Collider signatures: non-sequential 4th generation,technihadrons,...
I Antipin, Heikinheimo, Tuominen ’09, ’10
I Frandsen, Masina, Sannino ’09
INTRODUCTION T = 0 PHASE DIAGRAMS HOT TECHNIMATTER CONCLUSIONS
FROM ADS/QCD TO ADS/WTC (TALKS BY CHESLER AND MYERS)
Quasi-conformal theory→ apply AdS/CFT methodse.g. improved holography, (IH), (Kiritsis et.al ’08).
S =1
16πG5
∫d5x√−g[
R− 43
(∂µφ)2 + V(φ)], V(0) =
12L2
ds2 = b2(z)[−f (z)dt2 + dx2 +
dz2
f (z)
], λ(z) = eφ(z) ∼ Ncg2.
Asymptotically (z→ 0) AdS.
b(z),φ(z), f (z) from Einstein equations; input V(φ).
The key relation to boundary theory:
β(λ) = bdλdb
INTRODUCTION T = 0 PHASE DIAGRAMS HOT TECHNIMATTER CONCLUSIONS
FROM ADS/QCD TO ADS/WTC (TALKS BY CHESLER AND MYERS)
Quasi-conformal theory→ apply AdS/CFT methodse.g. improved holography, (IH), (Kiritsis et.al ’08).
S =1
16πG5
∫d5x√−g[
R− 43
(∂µφ)2 + V(φ)], V(0) =
12L2
ds2 = b2(z)[−f (z)dt2 + dx2 +
dz2
f (z)
], λ(z) = eφ(z) ∼ Ncg2.
Asymptotically (z→ 0) AdS.
b(z),φ(z), f (z) from Einstein equations; input V(φ).
The key relation to boundary theory:
β(λ) = bdλdb
INTRODUCTION T = 0 PHASE DIAGRAMS HOT TECHNIMATTER CONCLUSIONS
FROM ADS/QCD TO ADS/WTC (TALKS BY CHESLER AND MYERS)
Quasi-conformal theory→ apply AdS/CFT methodse.g. improved holography, (IH), (Kiritsis et.al ’08).
S =1
16πG5
∫d5x√−g[
R− 43
(∂µφ)2 + V(φ)], V(0) =
12L2
ds2 = b2(z)[−f (z)dt2 + dx2 +
dz2
f (z)
], λ(z) = eφ(z) ∼ Ncg2.
Asymptotically (z→ 0) AdS.
b(z),φ(z), f (z) from Einstein equations; input V(φ).
The key relation to boundary theory:
β(λ) = bdλdb
INTRODUCTION T = 0 PHASE DIAGRAMS HOT TECHNIMATTER CONCLUSIONS
FROM ADS/QCD TO ADS/WTC (TALKS BY CHESLER AND MYERS)
Quasi-conformal theory→ apply AdS/CFT methodse.g. improved holography, (IH), (Kiritsis et.al ’08).
S =1
16πG5
∫d5x√−g[
R− 43
(∂µφ)2 + V(φ)], V(0) =
12L2
ds2 = b2(z)[−f (z)dt2 + dx2 +
dz2
f (z)
], λ(z) = eφ(z) ∼ Ncg2.
Asymptotically (z→ 0) AdS.
b(z),φ(z), f (z) from Einstein equations; input V(φ).
The key relation to boundary theory:
β(λ) = bdλdb
INTRODUCTION T = 0 PHASE DIAGRAMS HOT TECHNIMATTER CONCLUSIONS
GENERAL STRATEGY
Using V(λ) with correct UV asymptotics + confinement,
I Find BH and vacuum solutions.I Compute T, S = A/(4G5), s = S/V.I Integrate p = p(T) from s(T) = p′(T).
E.g. SU(Nc) thermo from
V(λ) =12L2 [1 + V0λ+ V1λ
4/3√
ln(1 + V2λ4/3 + ...)].
(Gursoy, Kiritsis, Mazzanti, Nitti ’09; M. Panero’s talk)
INTRODUCTION T = 0 PHASE DIAGRAMS HOT TECHNIMATTER CONCLUSIONS
GENERAL STRATEGY
Using V(λ) with correct UV asymptotics + confinement,
I Find BH and vacuum solutions.I Compute T, S = A/(4G5), s = S/V.I Integrate p = p(T) from s(T) = p′(T).
E.g. SU(Nc) thermo from
V(λ) =12L2 [1 + V0λ+ V1λ
4/3√
ln(1 + V2λ4/3 + ...)].
(Gursoy, Kiritsis, Mazzanti, Nitti ’09; M. Panero’s talk)
INTRODUCTION T = 0 PHASE DIAGRAMS HOT TECHNIMATTER CONCLUSIONS
WALKING TECHNICOLOR ALANEN, KAJANTIE, TUOMINEN ’10
Construct the potential with guiding parametrization
β(λ) = −cλ2 (1− λ)2 + e1 + aλ3 , e > 0.
W(λ) = W(0) exp
(−4
9
∫ λ
0dλβ(λ)λ2
),
Vacuum V(λ) = 12W2
[1−
(β(λ)3λ
)2]≡ V0(λ, c, e, a)
→Model walking and confinement with
V(λ) = V0(λ, c, e, a)√
ln(F + λ4)/ ln(F)
I e small, sets quasi-conformality.I c, the order of the transtion. (First order: c >∼ 10.)I F sets the hierarchy TETC/TTC
(walking has two scales, hence expect two transitions)
INTRODUCTION T = 0 PHASE DIAGRAMS HOT TECHNIMATTER CONCLUSIONS
WALKING TECHNICOLOR ALANEN, KAJANTIE, TUOMINEN ’10
→Model walking and confinement with
V(λ) = V0(λ, c, e, a)√
ln(F + λ4)/ ln(F)
I e small, sets quasi-conformality.I c, the order of the transtion. (First order: c >∼ 10.)I F sets the hierarchy TETC/TTC
(walking has two scales, hence expect two transitions)
INTRODUCTION T = 0 PHASE DIAGRAMS HOT TECHNIMATTER CONCLUSIONS
WALKING TECHNICOLOR ALANEN, KAJANTIE, TUOMINEN ’10
→Model walking and confinement with
V(λ) = V0(λ, c, e, a)√
ln(F + λ4)/ ln(F)
I e small, sets quasi-conformality.I c, the order of the transtion. (First order: c >∼ 10.)I F sets the hierarchy TETC/TTC
(walking has two scales, hence expect two transitions)
INTRODUCTION T = 0 PHASE DIAGRAMS HOT TECHNIMATTER CONCLUSIONS
WALKING TC THERMO c = 11.8, e = 0.1, a = 2c/3, F = 1000
1 2 3 4 5Λ
-1.0
-0.8
-0.6
-0.4
-0.2
0.0ΒHΛL
5 10 15 20 25-40-35-30-25-20-15-10
Ε
T4L
Tc4
3 p
T4
F=1000
0.2 0.4 0.6 0.8 1.0 1.2
T
TETC
-0.05
0.00
0.05
0.10
0.15
0.0014 0.0015 0.00160.
0.0004
0.0008
I V(λ) gives walking β(λ); confinement at large λ.
I Two transitions, three phases
I Confinement below TTC = Tweak.I Quasi-conformal phase between TTC and TETC; ε = 3p.I TETC/TTC ∼ 103
INTRODUCTION T = 0 PHASE DIAGRAMS HOT TECHNIMATTER CONCLUSIONS
WALKING TC THERMO c = 11.8, e = 0.1, a = 2c/3, F = 1000
1 2 3 4 5Λ
-1.0
-0.8
-0.6
-0.4
-0.2
0.0ΒHΛL
5 10 15 20 25-40-35-30-25-20-15-10
Ε
T4L
Tc4
3 p
T4
F=1000
0.2 0.4 0.6 0.8 1.0 1.2
T
TETC
-0.05
0.00
0.05
0.10
0.15
0.0014 0.0015 0.00160.
0.0004
0.0008
I V(λ) gives walking β(λ); confinement at large λ.I Two transitions, three phases
I Confinement below TTC = Tweak.I Quasi-conformal phase between TTC and TETC; ε = 3p.I TETC/TTC ∼ 103
INTRODUCTION T = 0 PHASE DIAGRAMS HOT TECHNIMATTER CONCLUSIONS
WALKING TC THERMO c = 11.8, e = 0.1, a = 2c/3, F = 1000
Spectrum:−ψ′′(z) + VShr(z)ψ(z) = m2ψ(z)
VSchr =32
(bb
+b2
2b2
)+
XX
+ 3bXbX
, X ≡ β(λ)3λ
,
for 0++ (red) and 2++ (blue) “glueballs”.
LogHzL
LogHV L
e = 0.1, c = 13 � H1 + eLF = 1000
tensor
scalar
0 1 2 3 4 5 6
-4
-2
0
2
M2 ∼ n, some lightest states shown, M0 ∼ 2πTTC.
INTRODUCTION T = 0 PHASE DIAGRAMS HOT TECHNIMATTER CONCLUSIONS
DISCLAIMERS
I We have applied IH as a scheme for the β-function.I Fermions essential in WTC, very non-trivial in AdS/CFT.I How far our bottom-up scheme realistically applies?
Confined
Deconfined
Quasi-Conformal
0.1 0.2 0.3 0.4 0.5 0.6e0.001
0.1
10
1000
TT HeL�TT H0.1L
1st order
0.0 0.1 0.2 0.3 0.4 0.54
6
8
10
c
I e ∼ Nf .I Test on lattice:
I Fix NcI Find boundary of CWI Tune away with Nf
INTRODUCTION T = 0 PHASE DIAGRAMS HOT TECHNIMATTER CONCLUSIONS
CONCLUSIONS
•Technimatter: Strong and Electroweak
•Phenomenologically viable
I Nc = 2, 3, Nf = 2 in 2-index sym. rep.
•New insights to strong dynamics. (Lattice)
•More playground for AdS/CFT
•New hot phases (in the early universe?)