Holotube, 14 Feb 2023

Machine Learning the Bulk in AdS/CFTKoji Hashimoto (Kyoto U.)“Deriving dilaton potential in improved holographic QCD
from chiral condensate” 2209.04638“Deriving dilaton potential in improved holographic QCD
from meson spectrum” 2108.08091
w/ K.Ohashi (Keio), T.Sumimoto (Osaka u)“Neural ODE and Holographic QCD” 2006.00712
w/ H.Y.Hu, Y.Z.You (UCSD)“Deep Learning and AdS/QCD” 2005.02636
w/ T. Akutagawa, T. Sumimoto (Osaka u)“Deep Boltzmann Machine and AdS/CFT” 1903.04951“Deep Learning and Holographic QCD” 1809.10536
w/ S. Sugishita (Kentucky), A. Tanaka, A. Tomiya (RIKEN)“Deep Learning and AdS/CFT” 1802.08313
w/ S. Sugishita (Kentucky), A. Tanaka, A. Tomiya (RIKEN)

Bulk reconstruction by deep learning
1. Why and how?

6 pages

1903.04951

2. Space emergent from data

8 pages

1802.08313, 1809.10536, 2006.00712, 2005.02636

3. Gravity reconstructed2108.08091, 2209.04638

7 pagesAdS/CFT(No proof, no derivation)

Conventional modeling
Gravity model
ActionClassical gravity theory
in d+1 dim. spacetime||
Quantum field theory
in d dim. spacetime(Strong coupling limit,
large DoF limit)

MetricPredictiongµ
Prediction

Comparison
Exp/Lattice
data

Exp/Latticedata

Quantum field theory

Bulk reconstruction

Conventional modeling

Gravity model

Gravity model

ActionActionMetricgµ
Prediction

MetricPredictiongµ
Prediction

Comparison
Exp/Lattice
data

Exp/Latticedata

Quantum field theory

Exp/Lattice
data

Exp/Latticedata

Quantum field theory

Comparison of solvers
Reconstruction method

Lattice
No use ofEinstein eq input

Holographic renormalization[deHaro Solodukhin Skenderis 00]

Entanglement, Complexity[Hammersley 07] [Bilson 08]… [KH Watanabe 21]

Correlators[Hammersley 06] [Hubeny Liu Rangamani 06]

AdS/DL [KH Tanaka Tomiya Sugishita 18]
Wilson loop [KH 20]
6

Similarity!?

Wormholes in Penrose diagramof maximally extended eternal
AdS Schwarzschild black hole
[Iizuka, Sugishita, KH `17]

Deep Autoencoder

7

Emergent spacetime as a neural network
Quantum
gravityin (d+1)-dim.
‘tHooft `93
Susskind `94
Maldacena `97

Generalspacetime

Anti de Sitter
spacetime?

Quantummechanics
in d-dim.

Swingle `10

Carleo,Troyer `17

Neural network

Tensor network

Basics of machine learning
Neural network“Unit” (circle) : Vector component“Weight” (line) : Linear transformation
to be optimized

f = Wi(2)φ (Wij(1) xj)“Activation function” (hidden line-end) :Nonlinear component-wise transf.
1
φ(x) ≡
1 + e −x

Training protocol :1) Prepare many sets{(xj, f )} : (input, output)

2) Train the network (adjust W ) by lowering“Loss function” E ≡∑data

f − Wi(2)φ (Wij(1) xj)

Bulk reconstruction by deep learning
1. Why and how?

6 pages

1903.04951

2. Space emergent from data

8 pages

1802.08313, 1809.10536, 2006.00712, 2005.02636

3. Gravity reconstructed2108.08091, 2209.04638

7 pages2. Space emergent from data

1/8

Simplest holographic model
Classical scalar field theory in unknown 5-dim. spacetime
S=<latexit sha1_base64="TFyvaO4nUBjzbL0k2HMZOKHqRSU=">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</latexit>

Z

p
⇥
4
d⌘d x det g (@⌘ )2

ds2 =

V( )

1802.08313
1809.10536⇤

f ( )dt2 + d 2 + g( )(dx21 + · · · + dx2d 1 )
3 2
4
+
V[ ]=
L2
4

Data: (mq , hq̄qi)<latexit sha1_base64="AyUquFUrzHoch/0ImxYfuM/b2LU=">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</latexit>

AdS
boundary( |⌘=1 , @⌘ |⌘=1 , @⌘ |⌘=0 )

Black
Hole

(⌘)
1

⌘

0

11

2. Space emergent from data

2/8

Relation to QCD data
Boundary condition for the metric components
ds2 =f ( )dt2 + d 2 + g( )(dx21 + · · · + dx2d 1 )AdS boundary (Black hole horizon (): f g0): f

exp[2 /L]2

, gconst.

Solve eq. of motion to get response ⟨ψ̄ ψ⟩mq. [Klebanov, Witten `98]
AdS boundary () : ϕ = mq e −η + ⟨ψ̄ ψ⟩ e −3ηBlack hole horizon (

0):

=0

=0

2. Space emergent from data

3/8

Equation of motion as a feedforward NN
Eq. of motion2+ h( )

metricDiscretization
Hamilton form

V[ ]

( +
( +

=0

h( )

)= ( )+)= ( )+log

f ( )g( )d 1

h( ) ( )V ( ( ))
( )( )Feedfoward neural network for classification

=0

=

=0

=0
13

2. Space emergent from data

4/8

Training with QCD data : quark condensate
Lattice QCD data at T=207[MeV]hq̄qi : Quark condensate<latexit sha1_base64="76LlFEvNnRyWb81C3oW1muf/3po=">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</latexit>

mq : Quark mass<latexit sha1_base64="8KMjtI/FKR3jQdKSY38U86Gpi0o=">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</latexit>

14

2. Space emergent from data

5/8

Training with QCD data : quark condensate

h(⌘)<latexit sha1_base64="vTlG9iOIrhww+0CnFBDonAQYKbI=">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</latexit>⌘<latexit sha1_base64="mrPpmVLMlAljf5DEjy9QzKSlrrU=">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</latexit>

horizonTrained values of potential :1/L = 237(3)[MeV] , λ/L = 0.0127(6)152. Space emergent from data

6/8

AdS QCD model for meson spectra[Karch, Kaz, Son, Stephanov `06]

Classical gauge theory in 5-d dilaton gravity backgroundS = d xdz e−g (FMN)∫
Dilaton Φ(z) , metric ds 2 = e 2A(z) (dz 2 + ημνdx μdx ν)
4

−Φ

2

AdS boundary ( z ∼ 0 ) : B(z) ≡ Φ(z) − A(z) ∼ log z

Solve EoM for gauge field Aμ(z, x μ) = vn(z)ρμ(x μ)∂−B ∂evn + ω 2e −Bvn = 0
∂z (
∂z )

When frequency takes a proper discrete value ω 2 ∼ mn2,
gauge field is normalizable : vector meson spectra.
16

2. Space emergent from data

7/8

Bring the bulk EoM to neural network
2005.02636

Bulk EoM ∂−B ∂evn + ω 2e −Bvn = 0
∂z (
∂z )
Discretization
Hamilton formvn(z + Δz) = vn(z) + Δz πn(z)πn(z + Δz) = πn(z) + Δz (B′(z)πn(z) − ω 2vn(z))

Neural-Network representationω2v(z = ∞) = 0

v
z=0

z

z=∞

17

2. Space emergent from data

8/8

Training with QCD data: hadron spectra
2005.02636

Input : PDG data for rho meson massmρ(1) = 0.77 GeV, mρ(2) = 1.45 GeV

Positive
Negative
Result: Emergent metric B′(z) = Φ′(z) − A′(z)z<latexit sha1_base64="SJhDWOzNl6n2GkZuiMiTY+AO8D8=">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</latexit>

18Bulk reconstruction by deep learning
1. Why and how?

6 pages

1903.04951

2. Space emergent from data

8 pages

1802.08313, 1809.10536, 2006.00712, 2005.02636

3. Gravity reconstructed2108.08091, 2209.04638

7 pagesBulk reconstruction

Conventional modeling

Gravity model

Gravity model

ActionActionMetricgµ
Prediction

MetricPredictiongµ
Prediction

Comparison
Exp/Lattice
data

Exp/Latticedata

Quantum field theory

Exp/Lattice
data

Exp/Latticedata

Quantum field theory3. Gravity reconstructed

1/7

Two independent information of metric
Gravity model
ActionMetric B 0 (z)<latexit sha1_base64="1AYKkIN99CUe0FEMGkcfesu5jZw=">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</latexit>

Metric h(⌘)<latexit sha1_base64="vTlG9iOIrhww+0CnFBDonAQYKbI=">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</latexit>

Prediction

QCD

Meson
spectrum

Chiralcondensate

Quarkpotential
213. Gravity reconstructed

1/7

Two independent information of metric
Gravity model
ActionMetric B 0 (z)<latexit sha1_base64="1AYKkIN99CUe0FEMGkcfesu5jZw=">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</latexit>

Metric h(⌘)<latexit sha1_base64="vTlG9iOIrhww+0CnFBDonAQYKbI=">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</latexit>

B′(z) = Φ′(z) − A′(z)h(⌘)<latexit sha1_base64="vTlG9iOIrhww+0CnFBDonAQYKbI=">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</latexit>

Meson
spectrum

Chiralcondensate
22

3. Gravity reconstructed

2/7

Deriving the dilaton potential (T=0)
Gravity model
Action2108.08091

Metric B (z)<latexit sha1_base64="1AYKkIN99CUe0FEMGkcfesu5jZw=">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</latexit>

0V( )<latexit sha1_base64="/TkiKyiMuAimf1zKvgHhRhSPEVI=">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</latexit>

B′(z) = Φ′(z) − A′(z)<latexit sha1_base64="N6O5MPFx52853e29CytQLLZ93NA=">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</latexit><latexit sha1_base64="UkBW4kuNjazuMuk6ug3ICFAbSOs=">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</latexit>

Meson
spectrumV = 12 cosh(1.433 )V = 12 cosh(1.430 )<latexit sha1_base64="WFEwiunshiHDFwN4UebuX6c649g=">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</latexit><latexit sha1_base64="962FTakdQi+UdZCyF9KYfcNyd2g=">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</latexit>

16.7782+ 5.943

Cf. [Gubser, Nellore, 0804.0434]

423

3. Gravity reconstructed

3/7

It’s a nice dilaton potential !
Gravity model
Action2108.08091

V( )<latexit sha1_base64="/TkiKyiMuAimf1zKvgHhRhSPEVI=">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</latexit><latexit sha1_base64="N6O5MPFx52853e29CytQLLZ93NA=">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</latexit>

Fit the asymptotic part byfor different values of dilaton initial cond.
Cf. [Gursoy, Kiritsis, 0707.1324][Gursoy, Kiritsis, Nitti, 0707.1349]<latexit sha1_base64="UkBW4kuNjazuMuk6ug3ICFAbSOs=">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</latexit>

V = 12 cosh(1.433 )V = 12 cosh(1.430 )<latexit sha1_base64="WFEwiunshiHDFwN4UebuX6c649g=">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</latexit><latexit sha1_base64="962FTakdQi+UdZCyF9KYfcNyd2g=">AAACgnichVHLLgRBFD3aezxmsJGIpGNChJhUMwxiMWFjOR6DeE26W6Gip7vT3TPBxMrOD4hYkYiIhYRPsPEDFj5BLElsJNzpnkQQ3E5XnXvqnlunqjTbEK7H2EOZVF5RWVVdUxuqq29oDEeamudcK+foPK1bhuUsaKrLDWHytCc8gy/YDlezmsHnta2J4vp8njuusMxZb8fmK1l1wxTrQlc9ojKR9j5lKJZIDMvLqU2x2i/3yoOxkfhAkMYzkSiLMT/kn0ApgWiy1j5avNp+T1mRcyxjDRZ05JAFhwmPsAEVLn1LUMBgE7eCAnEOIeGvc+whRNocVXGqUIndonGDsqUSa1Je7On6ap12Meh3SCmjk92zC/bM7tgle2Rvv/Yq+D2KXnZo1gIttzPhg9aZ139VWZo9bH6q/vTsYR3DvldB3m2fKZ5CD/T53cPnmdHpzkIXO2VP5P+EPbBbOoGZf9HPpvj0MUL0AMr36/4J5vpj9IrxKSWaHEcQNWhDB7rpvhNIYhIppGnffVzgGjdShdQjKdJAUCqVlTQt+BLS2AdBRJTU</latexit>

16.7782+ 5.943

Cf. [Gubser, Nellore, 0804.0434]

424

3. Gravity reconstructed

4/7

String frame metric has a bottom
Gravity model
ActionPrediction

Quarkpotential25

3. Gravity reconstructed

5/7

Prediction of string breaking (T=0)
Gravity model
ActionQuark potential
Prediction
Quark distance [fm]0<latexit sha1_base64="jECDsaN/oP28icpk2dYu/8fapnE=">AAACZHichVFdKwRRGH52fI/FIqWUZFu52t6RkJKNG5fW2qXWpplxlsnszDQzu8XmD3BLLlwhSX6GC/6AtH9AySXlxoV3Z7eE8J7OOc95zvu85znnaI5peD5RJSQ1NDY1t7S2ye3hjs6uSHdPxrOLri7Sum3a7qqmesI0LJH2Dd8Uq44r1IJmihVte766v1ISrmfY1rK/44hcQd20jLyhqz5TSVqPRClOQQz9BEodRGdv5Rnn/EFetCOXWMMGbOgoogABCz5jEyo8blkoIDjM5VBmzmVkBPsCe5BZW+QswRkqs9s8bvIqW2ctXldreoFa51NM7i4rhxCje7qiF7qja3qi919rlYMaVS87PGs1rXDWu/b7U2//qgo8+9j6VP3p2UceU4FXg707AVO9hV7Tl3aPX1LTS7HyCJ3RM/s/pQrd8A2s0qt+kRRLJ5D5A5Tvz/0TZMbiykR8PKlEE3OoRSsGMIxRfu9JJLCARaT5XIEDHOIo9CiFpV6pr5YqheqaXnwJafADXKuM9w==</latexit>

0.5<latexit sha1_base64="HvGQmAC1B8aJ1rLRR4mto7CSixs=">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</latexit>

1.0<latexit sha1_base64="OgwIgoAu/GMhW3M9M0/833vNI90=">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</latexit>

Quark
potential
26

3. Gravity reconstructed

6/7

Deriving the dilaton potential (finite T)
Gravity model
Action2209.04638

Metric h(⌘)

V( )<latexit sha1_base64="/TkiKyiMuAimf1zKvgHhRhSPEVI=">AAACanichVG7SgNBFD1Z3/GRqI1iI0YlNmHWB4qVaGMZH3lAEsLuOtEh+2J3EtDgD9hZCVopiIifYeMPWPgJop2CjYU3mwVRUe8wM2fO3HPnzIzumsKXjD1ElLb2js6u7p5ob1//QCw+OJT1nZpn8IzhmI6X1zWfm8LmGSmkyfOuxzVLN3lOr64193N17vnCsbflvstLlrZri4owNElULpsspvfETDmeYCkWxPhPoIYggTDSTvwKRezAgYEaLHDYkIRNaPCpFaCCwSWuhAZxHiER7HMcIkraGmVxytCIrdK4S6tCyNq0btb0A7VBp5jUPVKOY4rds2v2wu7YDXtk77/WagQ1ml72adZbWu6WY0cjW2//qiyaJfY+VX96lqhgKfAqyLsbMM1bGC19/eDkZWt5c6oxzS7YE/k/Zw/slm5g11+Nyw2+eYYofYD6/bl/guxsSp1LLWzMJ1ZWw6/oxhgmkKT3XsQK1pFGJnB3jFOcRZ6VIWVUGWulKpFQM4wvoUx+ADeei+c=</latexit><latexit sha1_base64="vTlG9iOIrhww+0CnFBDonAQYKbI=">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</latexit>h(⌘)<latexit sha1_base64="vTlG9iOIrhww+0CnFBDonAQYKbI=">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</latexit><latexit sha1_base64="N6O5MPFx52853e29CytQLLZ93NA=">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</latexit>

Chiralcondensate
27

3. Gravity reconstructed

7/7

Prediction of string breaking (finite T)
Gravity model
ActionMetric h(⌘)<latexit sha1_base64="vTlG9iOIrhww+0CnFBDonAQYKbI=">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</latexit>

Predictionh(⌘)<latexit sha1_base64="vTlG9iOIrhww+0CnFBDonAQYKbI=">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</latexit>

Chiralcondensate

Quarkpotential
Lattice data (grey) : Petreczky, J.Phys.G37(2010)094009

28

Bulk reconstruction by deep learning
1. Why and how?

6 pages

1903.04951

2. Space emergent from data

8 pages

1802.08313, 1809.10536, 2006.00712, 2005.02636

3. Gravity reconstructed2108.08091, 2209.04638

7 pages