Metastable antibranes and higher-form hydrodynamics Supergravity - - PowerPoint PPT Presentation

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Metastable antibranes and higher-form hydrodynamics Supergravity - - PowerPoint PPT Presentation

Mar 06, 2024 502 likes •1.11k views

Metastable antibranes and higher-form hydrodynamics Supergravity D-branes Based on: arXiv: 1904.13283 (JHEP) by JA, N. Nguyen, V. Niarchos & N.A. Obers Jay Armas arXiv: 1812.1201067 (Phys. Rev. Lett.) by JA, N. Nguyen, V. Niarchos, N.A.

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SLIDE 1

Metastable antibranes and higher-form hydrodynamics

Based on:

arXiv: 1904.13283 (JHEP) by JA, N. Nguyen, V. Niarchos & N.A. Obers arXiv: 1812.1201067 (Phys. Rev. Lett.) by JA, N. Nguyen, V. Niarchos, N.A. Obers & T. Van Riet arXiv: 1808.01939 (Phys. Rev. Lett.) by JA & A. Jain arXiv: 1803.00991 (JHEP) by JA, J. Gath, A. Jain & A.V. Pedersen

Jay Armas University of Amsterdam Dutch Institute for Emergent Phenomena

D-branes Supergravity

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SLIDE 2

MOTIVATIONS

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SLIDE 3

>> Understanding the long-wavelength dynamics of supergravity

WHY ?

>> Understanding better black holes in higher-dimensions >> Understanding better hydrodynamics with higher-form symmetries

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SLIDE 4

>> Metastability of those states

WHY NOT ?

>> Mechanisms for supersymmetry breaking >> KKLT/deSitter holography

slide-5
SLIDE 5

MOTIVATIONS

Type IIB Klebanov-Strassler

Kachru, Pearson & Verlinde, 2006

p/M . 0.08

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SLIDE 6

MOTIVATIONS

D5 DBI

Kachru, Pearson & Verlinde, 2006

S-duality NS5 action

gsp ⌧ 1

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gsp 1

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Bena, Grana, Kuperstein & Massai, 2014

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SLIDE 7

MOTIVATIONS

D-branes Supergravity

IDEA OF BENA ET AL.

  • pen/closed string duality

gsp ⌧ 1

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gsp 1

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slide-8
SLIDE 8

More than a decade of confusion

MOTIVATIONS

IT AIN’T WORKING

slide-9
SLIDE 9

>> Yes, the supergravity solution exists.

Take home message ?

>> They were solving the wrong problem - only circumstancial evidence.

slide-10
SLIDE 10

PLAN

slide-11
SLIDE 11

>> How does it work in supergravity?

Plan ?

>> How does it work in pure gravity? >> The D3-brane action: an example >> Antibranes in Klebanov-Strassler >> Antibranes in M-theory >> Outlook Does anyone know why these questions are linked to hydrodynamics ?

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SLIDE 12

PURE GRAVITY

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SLIDE 13

PURE GRAVITY

AdS boundary Schwarzschild-AdS black hole AdS

arXiv:hep-th/9803131 by E.Witten

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SLIDE 14

arXiv:hep-th/9803131 by E.Witten

(scaling) (limit) (locally)

PURE GRAVITY

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SLIDE 15

PURE GRAVITY

arXiv:hep-th/9803131 by E.Witten

AdS boundary Schwarzschild-AdS black hole AdS

arXiv:0712.2456 by S. Bhattacharyya, V.E.Hubeny, S. Minwalla and M. Rangamani arXiv:0708.1770 by S. Bhattacharyya, S. Lahiri, R. Loganayagam & S. Minwalla

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SLIDE 16

PURE GRAVITY

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SLIDE 17

PURE GRAVITY

increase J zoom locally

arXiv:0308056 by E. Emparan & R. Myers arXiv:1110.4835 by JA, J.Camps, T.Harmark & N.A. Obers

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SLIDE 18

PURE GRAVITY

increase J zoom locally

arXiv:0708.2181 by R. Emparan, T. Harmark, V. Niarchos, N.A. Obers & M.Rodriguez

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SLIDE 19

PURE GRAVITY

Schwarzschild at infinity

Infinity Infinity

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SLIDE 20

PURE GRAVITY

Black string at infinity

Infinity Infinity

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SLIDE 21

PURE GRAVITY

reverse the logic: + …

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SLIDE 22

PURE GRAVITY

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SLIDE 23

PURE GRAVITY

read off the stress tensor from the metric:

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SLIDE 24

PURE GRAVITY

The effective theory:

arXiv::0910.1601 by R. Emparan, T. Harmark, V. Niarchos, N.A. Obers arXiv:1210.5197 by JA & N.A.Obers

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SLIDE 25

PURE GRAVITY

The stationary sector: For area minimising action: In general:

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SLIDE 26

PURE GRAVITY

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SLIDE 27

How many solutions to the equations below? One possibility is to look for minimal surfaces which also satisfy this.

arXiv:1503.08834 by JA & M. Blau

PURE GRAVITY

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SLIDE 28

PURE GRAVITY

  • Plane
  • Helicoid
  • Catenoid
  • Riemann surfaces
  • Schwarz minimal surfaces
  • Enneper surface
  • Henneberg surface
  • Bour surface
  • Catalan surface
  • Barbosa-Dajczer-Jorge helicoids
  • Scherk surfaces
  • Meeks mobius minimal surface
  • Costa surface
  • Chen-Gackstatter
  • etc

These are all non-compact.

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SLIDE 29

PURE GRAVITY

In two dimensions, only the plane and the helicoid solve these equations.

arXiv:1503.08834 by JA & M. Blau

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SLIDE 30

PURE GRAVITY

The helicoid: Topology:

arXiv:1503.08834 by JA & M. Blau

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SLIDE 31

PURE GRAVITY

Sp × Sn+1

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SLIDE 32

SUPERGRAVITY

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SLIDE 33

SUPERGRAVITY

Consider the democratic formulation:

arXiv:1606.09644 by JA, J. Gath, V. Niarchos, N. Obers & A.V. Pedersen

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SLIDE 34

SUPERGRAVITY

SUPERGRAVITY BACKGROUND

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SLIDE 35

SUPERGRAVITY

Effective equations:

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SLIDE 36

SUPERGRAVITY

Effective equations:

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SLIDE 37

SUPERGRAVITY

Current equations: >> Higher-form hydrodynamics

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SLIDE 38

SUPERGRAVITY

The Dp-F1 black brane:

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SLIDE 39

SUPERGRAVITY

The Dp-F1 black brane:

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SLIDE 40

SUPERGRAVITY

Effective equations:

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SLIDE 41

SUPERGRAVITY

Effective equations:

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SLIDE 42

SUPERGRAVITY

Fluid theory (q+7)-transport coefficients:

arXiv:1803.00991 by JA, J.Gath, A. Jain & A.V. Perdersen

Branes with:

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SLIDE 43

Dp-brane: an example

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SLIDE 44

Dp-BRANE: AN EXAMPLE

raT ab = 1 (p 1)!Fba1...ap−1

p

Jp−1a1...ap−1 + jφ∂bφ

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T abKab

I =

1 (p − 1)Fiµ1...µp−1Jp−1µ1...µp−1

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r0 → 0 , α → ∞

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S = Z (?P + QpP[Cp+1])

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S = NDpTp Z (?1 + P[Cp+1])

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Equations of motion: Action: Extremal limit:

slide-45
SLIDE 45

METASTABLE ANTIBRANES

slide-46
SLIDE 46

METASTABLE ANTIBRANES

ψ = constant

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Tip of Klebanov-Strassler geometry: Embedding:

slide-47
SLIDE 47

METASTABLE ANTIBRANES

Currents of NS5-anti D3 Equations of motion:

slide-48
SLIDE 48

METASTABLE ANTIBRANES

End result for equation of motion: Action at fixed entropy: Hagedorn behaviour:

slide-49
SLIDE 49

d = 2√p √ Cr0 √Q5 √ M sin ψ

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unstable, fat metastable, thin R3 × S5

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R3 × S2 × S3

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new unstable branch

slide-50
SLIDE 50

METASTABLE ANTIBRANES

>> Can make it weakly coupled by tunning the string coupling >> At extremality, you can’t but the theory is holographically dual to little string theory where the strongly coupled regime is under control Validity regime:

slide-51
SLIDE 51

METASTABLE ANTIBRANES IN M-THEORY

slide-52
SLIDE 52

METASTABLE ANTIBRANES

Equations of motion and currents for M5-anti M2

slide-53
SLIDE 53

METASTABLE ANTIBRANES

CGLP background at the tip: Potential at constant entropy:

slide-54
SLIDE 54

new unstable branch new unstable branch thin-thin merger thin-fat merger

slide-55
SLIDE 55

METASTABLE ANTIBRANES

Validity regime:

slide-56
SLIDE 56

OUTLOOK

slide-57
SLIDE 57

>> There are no singularities

Outlook

>> Metastable antibranes exist in both KS and CGLP >> Stability properties? >> Next to leading order? - MAE >> Holographic dual picture?

slide-58
SLIDE 58

THANK YOU

D-branes Supergravity