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Supergravity, Strings and Dualities A Meeting in Celebration of Chris Hull’s 60th Birthday George Papadopoulos King’s College London 28-29 April 2017 Imperial College

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Page 1: Supergravity, Strings and Dualities · 2017. 4. 27. · Crete Meeting in String Theory 2003 I Relate the tsunami from Thera to Crete in 1,550BC with the plane wave solutions I First

Supergravity, Strings and DualitiesA Meeting in Celebration of Chris Hull’s 60th Birthday

George Papadopoulos

King’s College London

28-29 April 2017Imperial College

Page 2: Supergravity, Strings and Dualities · 2017. 4. 27. · Crete Meeting in String Theory 2003 I Relate the tsunami from Thera to Crete in 1,550BC with the plane wave solutions I First

1980’s

I String Theory

I Sigma model approach to Strings

I Geometry of 2-dimensionalsupersymmetric sigma models

Page 3: Supergravity, Strings and Dualities · 2017. 4. 27. · Crete Meeting in String Theory 2003 I Relate the tsunami from Thera to Crete in 1,550BC with the plane wave solutions I First

1980’s

I String Theory

I Sigma model approach to Strings

I Geometry of 2-dimensionalsupersymmetric sigma models

Page 4: Supergravity, Strings and Dualities · 2017. 4. 27. · Crete Meeting in String Theory 2003 I Relate the tsunami from Thera to Crete in 1,550BC with the plane wave solutions I First

1980’s

I String Theory

I Sigma model approach to Strings

I Geometry of 2-dimensionalsupersymmetric sigma models

Page 5: Supergravity, Strings and Dualities · 2017. 4. 27. · Crete Meeting in String Theory 2003 I Relate the tsunami from Thera to Crete in 1,550BC with the plane wave solutions I First

1980’s

I String Theory

I Sigma model approach to Strings

I Geometry of 2-dimensionalsupersymmetric sigma models

Page 6: Supergravity, Strings and Dualities · 2017. 4. 27. · Crete Meeting in String Theory 2003 I Relate the tsunami from Thera to Crete in 1,550BC with the plane wave solutions I First

At Queen Mary College

Page 7: Supergravity, Strings and Dualities · 2017. 4. 27. · Crete Meeting in String Theory 2003 I Relate the tsunami from Thera to Crete in 1,550BC with the plane wave solutions I First

Later in 1990’s

Page 8: Supergravity, Strings and Dualities · 2017. 4. 27. · Crete Meeting in String Theory 2003 I Relate the tsunami from Thera to Crete in 1,550BC with the plane wave solutions I First

Classification

I Classification of supergravitybackgrounds that preserve a fraction ofspacetime superymmetry

I Initial focus on the maximallysupersymmetric solutions

Page 9: Supergravity, Strings and Dualities · 2017. 4. 27. · Crete Meeting in String Theory 2003 I Relate the tsunami from Thera to Crete in 1,550BC with the plane wave solutions I First

Classification

I Classification of supergravitybackgrounds that preserve a fraction ofspacetime superymmetry

I Initial focus on the maximallysupersymmetric solutions

Page 10: Supergravity, Strings and Dualities · 2017. 4. 27. · Crete Meeting in String Theory 2003 I Relate the tsunami from Thera to Crete in 1,550BC with the plane wave solutions I First

IIB plane wave

Page 11: Supergravity, Strings and Dualities · 2017. 4. 27. · Crete Meeting in String Theory 2003 I Relate the tsunami from Thera to Crete in 1,550BC with the plane wave solutions I First

Theorem [Figueroa-O’Farrill, GP]: The maximally supersymmetricbackgrounds of IIB supergravity are locally isometric to one of thefollowing; Minkowski space, AdS5×S5 or the maximallysupersymmetric plane wave

Page 12: Supergravity, Strings and Dualities · 2017. 4. 27. · Crete Meeting in String Theory 2003 I Relate the tsunami from Thera to Crete in 1,550BC with the plane wave solutions I First

From Plato to M-theory

I Ancient Greek Mythology

I Gods, Goddesses, Heroes and mereHumans

I All locked in a battle for recognition,excellence and lasting immortality

I For millennia laboratory forunderstanding human nature

Page 13: Supergravity, Strings and Dualities · 2017. 4. 27. · Crete Meeting in String Theory 2003 I Relate the tsunami from Thera to Crete in 1,550BC with the plane wave solutions I First

From Plato to M-theory

I Ancient Greek Mythology

I Gods, Goddesses, Heroes and mereHumans

I All locked in a battle for recognition,excellence and lasting immortality

I For millennia laboratory forunderstanding human nature

Page 14: Supergravity, Strings and Dualities · 2017. 4. 27. · Crete Meeting in String Theory 2003 I Relate the tsunami from Thera to Crete in 1,550BC with the plane wave solutions I First

From Plato to M-theory

I Ancient Greek Mythology

I Gods, Goddesses, Heroes and mereHumans

I All locked in a battle for recognition,excellence and lasting immortality

I For millennia laboratory forunderstanding human nature

Page 15: Supergravity, Strings and Dualities · 2017. 4. 27. · Crete Meeting in String Theory 2003 I Relate the tsunami from Thera to Crete in 1,550BC with the plane wave solutions I First

From Plato to M-theory

I Ancient Greek Mythology

I Gods, Goddesses, Heroes and mereHumans

I All locked in a battle for recognition,excellence and lasting immortality

I For millennia laboratory forunderstanding human nature

Page 16: Supergravity, Strings and Dualities · 2017. 4. 27. · Crete Meeting in String Theory 2003 I Relate the tsunami from Thera to Crete in 1,550BC with the plane wave solutions I First

From Plato to M-theory

I Ancient Greek Mythology

I Gods, Goddesses, Heroes and mereHumans

I All locked in a battle for recognition,excellence and lasting immortality

I For millennia laboratory forunderstanding human nature

Page 17: Supergravity, Strings and Dualities · 2017. 4. 27. · Crete Meeting in String Theory 2003 I Relate the tsunami from Thera to Crete in 1,550BC with the plane wave solutions I First

Crete Meeting in String Theory 2003

I Relate the tsunami from Thera to Crete in1,550BC with the plane wave solutions

I First recorded application of string theory(1, 550BC>): The suggestion of Ariadneto Theseus to use an open string to findhis way out of the Knossos maze.

I Allegory for using string theory to findour way out of the maze of theoreticalphysics

Page 18: Supergravity, Strings and Dualities · 2017. 4. 27. · Crete Meeting in String Theory 2003 I Relate the tsunami from Thera to Crete in 1,550BC with the plane wave solutions I First

Crete Meeting in String Theory 2003

I Relate the tsunami from Thera to Crete in1,550BC with the plane wave solutions

I First recorded application of string theory(1, 550BC>): The suggestion of Ariadneto Theseus to use an open string to findhis way out of the Knossos maze.

I Allegory for using string theory to findour way out of the maze of theoreticalphysics

Page 19: Supergravity, Strings and Dualities · 2017. 4. 27. · Crete Meeting in String Theory 2003 I Relate the tsunami from Thera to Crete in 1,550BC with the plane wave solutions I First

Crete Meeting in String Theory 2003

I Relate the tsunami from Thera to Crete in1,550BC with the plane wave solutions

I First recorded application of string theory(1, 550BC>): The suggestion of Ariadneto Theseus to use an open string to findhis way out of the Knossos maze.

I Allegory for using string theory to findour way out of the maze of theoreticalphysics

Page 20: Supergravity, Strings and Dualities · 2017. 4. 27. · Crete Meeting in String Theory 2003 I Relate the tsunami from Thera to Crete in 1,550BC with the plane wave solutions I First

Crete Meeting in String Theory 2003

I Relate the tsunami from Thera to Crete in1,550BC with the plane wave solutions

I First recorded application of string theory(1, 550BC>): The suggestion of Ariadneto Theseus to use an open string to findhis way out of the Knossos maze.

I Allegory for using string theory to findour way out of the maze of theoreticalphysics

Page 21: Supergravity, Strings and Dualities · 2017. 4. 27. · Crete Meeting in String Theory 2003 I Relate the tsunami from Thera to Crete in 1,550BC with the plane wave solutions I First
Page 22: Supergravity, Strings and Dualities · 2017. 4. 27. · Crete Meeting in String Theory 2003 I Relate the tsunami from Thera to Crete in 1,550BC with the plane wave solutions I First

Crete Meeting in String Theory 2003

I Chris explained the myth of Ariadne andTheseus

I Suggested M-theory fits well into themyth!

I Called for a modern Theseus to slain thebeast of Minotaur theory!

Page 23: Supergravity, Strings and Dualities · 2017. 4. 27. · Crete Meeting in String Theory 2003 I Relate the tsunami from Thera to Crete in 1,550BC with the plane wave solutions I First

Crete Meeting in String Theory 2003

I Chris explained the myth of Ariadne andTheseus

I Suggested M-theory fits well into themyth!

I Called for a modern Theseus to slain thebeast of Minotaur theory!

Page 24: Supergravity, Strings and Dualities · 2017. 4. 27. · Crete Meeting in String Theory 2003 I Relate the tsunami from Thera to Crete in 1,550BC with the plane wave solutions I First

Crete Meeting in String Theory 2003

I Chris explained the myth of Ariadne andTheseus

I Suggested M-theory fits well into themyth!

I Called for a modern Theseus to slain thebeast of Minotaur theory!

Page 25: Supergravity, Strings and Dualities · 2017. 4. 27. · Crete Meeting in String Theory 2003 I Relate the tsunami from Thera to Crete in 1,550BC with the plane wave solutions I First

Crete Meeting in String Theory 2003

I Chris explained the myth of Ariadne andTheseus

I Suggested M-theory fits well into themyth!

I Called for a modern Theseus to slain thebeast of Minotaur theory!

Page 26: Supergravity, Strings and Dualities · 2017. 4. 27. · Crete Meeting in String Theory 2003 I Relate the tsunami from Thera to Crete in 1,550BC with the plane wave solutions I First

M-theory

I M-(embrane)

I M-(atrix)

I M-(ega)

I M-(inotaur)

as a reminder of the challenge ahead.

Page 27: Supergravity, Strings and Dualities · 2017. 4. 27. · Crete Meeting in String Theory 2003 I Relate the tsunami from Thera to Crete in 1,550BC with the plane wave solutions I First

M-theory

I M-(embrane)

I M-(atrix)

I M-(ega)

I M-(inotaur)

as a reminder of the challenge ahead.

Page 28: Supergravity, Strings and Dualities · 2017. 4. 27. · Crete Meeting in String Theory 2003 I Relate the tsunami from Thera to Crete in 1,550BC with the plane wave solutions I First

M-theory

I M-(embrane)

I M-(atrix)

I M-(ega)

I M-(inotaur)

as a reminder of the challenge ahead.

Page 29: Supergravity, Strings and Dualities · 2017. 4. 27. · Crete Meeting in String Theory 2003 I Relate the tsunami from Thera to Crete in 1,550BC with the plane wave solutions I First

M-theory

I M-(embrane)

I M-(atrix)

I M-(ega)

I M-(inotaur)

as a reminder of the challenge ahead.

Page 30: Supergravity, Strings and Dualities · 2017. 4. 27. · Crete Meeting in String Theory 2003 I Relate the tsunami from Thera to Crete in 1,550BC with the plane wave solutions I First

M-theory

I M-(embrane)

I M-(atrix)

I M-(ega)

I M-(inotaur)

as a reminder of the challenge ahead.

Page 31: Supergravity, Strings and Dualities · 2017. 4. 27. · Crete Meeting in String Theory 2003 I Relate the tsunami from Thera to Crete in 1,550BC with the plane wave solutions I First

M-theory

I M-(embrane)

I M-(atrix)

I M-(ega)

I M-(inotaur)

as a reminder of the challenge ahead.

Page 32: Supergravity, Strings and Dualities · 2017. 4. 27. · Crete Meeting in String Theory 2003 I Relate the tsunami from Thera to Crete in 1,550BC with the plane wave solutions I First

Happy Birthday Chris-Many Happy Returns