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T h e P o w e r o f S u p e r g r a v i t y S o l u t i o n s Bert Vercnocke University of Amsterdam GGI, 8 September 2016 O v e r v i e w 1. Intro 2. Singularity resolution: Black hole microstates

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T h e P

  • w

e r

  • f

S u p e r g r a v i t y S

  • l

u t i

  • n

s

Bert Vercnocke University of Amsterdam

GGI, 8 September 2016

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SLIDE 2

O v e r v i e w

  • 1. Intro
  • 2. Singularity resolution: Black hole microstates

1512.05376 with Bena, Mayerson, Puhm

  • 3. SUSY breaking: Anti-branes

1507 . 01022 with Diego Cohen-Maldonado, Diaz, Van Riet 1610.xxxxx with Aalsma, van der Schaar

(work with Kallosh, Wrase '16 see Timm talk) →

  • 4. Outro
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SLIDE 3

O v e r v i e w

  • 1. Intro
  • 2. Singularity resolution: Black hole microstates

1512.05376 with Bena, Mayerson, Puhm

  • 3. SUSY breaking: Anti-branes

1507 . 01022 with Diego Cohen-Maldonado, Diaz, Van Riet 1610.xxxxx with Aalsma, van der Schaar

(work with Kallosh, Wrase '16 see Timm talk) →

  • 4. Outro
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SLIDE 4

“ S u p e r g r a v i t y K n

  • w

s ”

 About quantum gravity/string theory  Theories:

– UV properties Zvi Bern talk – Hidden symmetries, DFT & EFT – Embedding tensor, (non-geometric) fluxes

 Solutions: this talk

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“ S u p e r g r a v i t y K n

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s ”

 Solutions know about quantum gravity/strings

– Singularity resolution

Lin-Lunin-Maldacena; Polchinski-Strassler; Klebanov-Strassler; Enhancon, KK monopoles ...

– Holography: boundary unitarity, causality...

[bulk reconstruction community]

– SUGRA and DBI

Denef '00; Bena, Bobev, Ruef, Warner '08; Bena, Puhm Vasilakis, Warner '13

 SUGRA versions of String Theory mechanisms

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SLIDE 6

S U G R A me c h a n i s ms

 Multi-center black holes  Phase space & microstate counting

BPS indices and wall-crossing

Single D-brane Quiver Quantum Mechanics Supergravity

Cardoso, de Wit, Kappeli, Mohaupt '00; Denef '00, '02

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SLIDE 7

S U G R A me c h a n i s ms

 SUSY Microstate geometries: horizon-less

Singular sources Smooth

SUGRA

Non-Abelian Myers effect

U-duality frames

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SLIDE 8

“ S u p e r g r a v i t y K n

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s ”

 SUGRA versions of String Theory mechanisms  Guide to new physics!

1) Singularity resolution 2) SUSY breaking

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C h e r n

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i mo n s C

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p l i n g s

 Action: topological terms

Type IIB: 1) Charge dissolved in flux – Singularity resolution 2)Dipole effect – SUSY breaking

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1 ) S i n g u l a r i t y r e s

  • l

u t i

  • n

 Charge dissolved in flux: topology and new IR phases

– Deformed conifold: Klebanov-Strassler '00 – Microstate geometries quantum gravity? →

Denef; Lunin, Mathur; Skenderis-Taylor; Bena-Warner, de Boer, Giusto-Russo, Peet, Ross ...

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SLIDE 11

2 ) S U S Y b r e a k i n g

Microstate geometry M-theory polarize: M2-M2 M5 →

Bena, Puhm, BV '11, '12

Klebanov-Strassler IIB polarize: D3 NS5 →

Kachru, Pearson, Verlinde '01

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O v e r v i e w

  • 1. Intro
  • 2. Singularity resolution: Black hole microstates
  • 3. SUSY breaking: Anti-branes
  • 4. Outro
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B l a c k H

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e P r

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l e ms

 Black hole entropy  Singularity  Information paradox  Structure at horizon – Mechanism?

– Firewalls? no mechanism! → – Black hole microstates

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B l a c k H

  • l

e Mi c r

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t a t e s

Strominger-Vafa '96 “D1

  • D5-P black hole”
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B l a c k H

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e Mi c r

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t a t e s

 Gravitational interpretation?

− “No stationary solitons without horizons … or topology” − Microstate geometries

Gibbons-Warner '13

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S U S Y mi c r

  • s

t a t e g e

  • me

t r i e s

 Before 2011

− D1

  • D5: very successful

Lunin-Mathur; Lin, Maoz, Maldacena; Skenderis, Kanitscheider, Taylor ...

− D1

  • D5-P Only large families known 5d

Bena, Wang, Warner; Potvin, Peet; Balasubramania, Gimon, Levi

 After 2011

− 6 dimensional “superstrata” Bena, de Boer, Shigemori, Warner '11

Bena, Giusto, Martinec, Russo, Turton, Warner '15-' 16

− Most general with D1

  • D5-P supersymmetries and rigid

Giusto, Martucci, Petrini, Russo '13

asymptotically

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O u r C u r r e n t U n d e r s t a n d i n g

Astrophysical Near-Extremal Extremal SUSY Over-Extremal (Unphysical)

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B e y

  • n

d S U S Y ?

 New stationary solutions? (group theory …)  Time-dependent solutions?  Infall?  This talk:

– Formation of microstates in collapse – Near-SUSY

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C l a s s i c a l

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q u a n t u m?

Puff!! Collapsing matter (branes) Microstate geometry

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C l a s s i c a l

  • r

q u a n t u m?

Mathur '08; Mathur-Kraus '15

Cumulative tunneling rate

−

Dimensional analysis

−

Tunneling happens provided

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Q u a n t u m T u n n e l i n g

 Calculation for near-extremal solutions  Result for N-bubble end state

Bena, Puhm, BV '15

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O v e r v i e w

1.Intro

  • 2. Singularity resolution: Black holes microstates
  • 3. SUSY breaking: Anti-branes
  • 4. Outro
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A n t i

  • b

r a n e s i n f l u x e s

 Applications

– SUSY breaking in string/field theory – de Sitter Kachru, Kallosh, Linde, Trivedi '03 + audience – Prototype for BH microstate geometries

 Riding horse

4d vacuum

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D i f f e r e n t R e g i me s

10d supergravity

− Many no-go results

10d string theory

− 4d supergravity

(constrained superfields)

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1 d S U G R A :

 Probe anti-branes  Back-reaction: many no-go statements

… But polarization largely ignored!

Kachru, Pearson, Verlinde '01 McGuirk, Shiu, Sumimoto '09; Bena, Grana, Halmagyi '09 Saclay group; Uppsala group; Hannover, Leuven … '09 – '16

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1 d S U G R A : O u r w

  • r

k

 No-go theorems:  Based on mass considerations

Gautason, Junghans, Zagermann '13 Blaback, Danielsson, Junghans, Van Riet, Vargas '14

 Re-investigate for NS5 polarization:

no-go result no longer holds!

Cohen-Maldonado, Diaz, Van Riet, BV '15

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1 d s t r i n g :

Single anti-D3 (no polarization!)

 EFT consistent: small corrections

Michel, Mintun, Polchinski, Puhm, Saad '14

 Language: Constrained superfields

Ferrara, Kallosh, Linde '14 anti-D3: Kallosh, Wrase '14; Bergshoeff, Dasgupta, Kallosh, Van Proeyen, Wrase '15, Kallosh, BV, Wrase '16 general formalism: > half the audience

See talks Anna Karlsson, Timm Wrase

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1 d s t r i n g : C

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r e c t i

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s

 Corrections to constraints? [talk Anna Karlsson]  Heavy field in particular SUGRA model  Corrections in string theory?

Dudas, Heurtier, Wieck, Winkler '16

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1 d s t r i n g : O u r w

  • r

k

 NS5 polarization: 4d interpretation  Goldstino and massive field

Nilpotent

1 2 3 1

SUSY, fields

Bergshoeff, Dasgupta, Kallosh, Van Proeyen, Wrase '15

Aalsma, van der Schaar, BV 1610.xxxx

2

Nilpotent + corrections set by

3

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O v e r v i e w

  • 1. Intro: Examples
  • 2. Black holes and microstates
  • 3. SUSY breaking and anti-branes
  • 4. Outro
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O u t l

  • k

 SUGRA knows and shows  Singularity resolution and Black hole Microstates

– Time-dependent solutions? Observations? – Classical collapse?

 SUSY breaking and constrained superfields

− Full understanding in string theory?