Entanglement and topology in RG flows across dimensions: caps, bridges and corners - INSPIRE

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Entanglement and topology in RG flows across dimensions: caps, bridges and corners

Evan Deddo
(
- U. Michigan, Ann Arbor
)
,
Leopoldo A. Pando Zayas
(
)
,
Christoph F. Uhlemann
(
- Oxford U.
)

Dec 31, 2022

34 pages

Published in:

JHEP 04 (2023) 018

Published: Apr 4, 2023

e-Print:

2301.00257 [hep-th]

DOI:

10.1007/JHEP04(2023)018

Report number:

LCTP-22-17

View in:

ADS Abstract Service

reference search8 citations

Citations per year

Abstract: (Springer)

We quantitatively address the following question: for a QFT which is partially compactified, so as to realize an RG flow from a D-dimensional CFT in the UV to a d-dimensional CFT in the IR, how does the entanglement entropy of a small spherical region probing the UV physics evolve as the size of the region grows to increasingly probe IR physics? This entails a generalization of spherical regions to setups without full Lorentz symmetry, and we study the associated entanglement entropies holographically. We find a tight interplay between the topology and geometry of the compact space and the evolution of the entanglement entropy, with universal transitions from ‘cap’ through ‘bridge’ and ‘corner’ phases, whose features reflect the details of the compact space. As concrete examples we discuss twisted compactifications of 4d

\mathcal{N}

= 4 SYM on T

^{2}

, S

^{2}

and hyperbolic Riemann surfaces.

Note:

33 pages, 17 figures

AdS-CFT Correspondence
Gauge-Gravity Correspondence
Conformal Field Models in String Theory
Renormalization Group
entropy: entanglement
field theory: conformal
renormalization group: flow
space: compact
symmetry: Lorentz
entropy: holography

References(49)

Figures(28)

[1]

Irreversibility of the Flux of the Renormalization Group in a 2D Field Theory

A.B. Zamolodchikov
(
- Moscow, ITEP
)

- JETP Lett. 43 (1986) 730-732,
- Pisma Zh.Eksp.Teor.Fiz. 43 (1986) 565-567

Is There a c Theorem in Four-Dimensions?

John L. Cardy
(
- UC, Santa Barbara
)

- Phys.Lett.B 215 (1988) 749-752
•
DOI:
- 10.1016/0370-2693(88)90054-8

[3]

On Renormalization Group Flows in Four Dimensions

Zohar Komargodski
(
- Weizmann Inst. and
- Princeton, Inst. Advanced Study
)
,
Adam Schwimmer
(
- Weizmann Inst.
)

- JHEP 12 (2011) 099
•
e-Print:
- 1107.3987
•
DOI:
- 10.1007/JHEP12(2011)099

[4]

The Exact Superconformal R-Symmetry Extremizes Z

Daniel L. Jafferis
(
- Princeton, Inst. Advanced Study
)

- JHEP 05 (2012) 159
•
e-Print:
- 1012.3210
•
DOI:
- 10.1007/JHEP05(2012)159

[5]

F-Theorem without Supersymmetry

Igor R. Klebanov
(
)
,
Silviu S. Pufu
(
- Princeton U. and
- MIT, LNS
)
,
Benjamin R. Safdi
(
- Princeton U.
)

- JHEP 10 (2011) 038
•
e-Print:
- 1105.4598
•
DOI:
- 10.1007/JHEP10(2011)038

[6]

Towards the F-Theorem: N=2 Field Theories on the Three-Sphere

Daniel L. Jafferis
(
- Princeton, Inst. Advanced Study and
- Harvard U.
)
,
Igor R. Klebanov
(
- Princeton U.
)
,
Silviu S. Pufu
(
- Princeton U.
)
,
Benjamin R. Safdi
(
- Princeton U.
)

- JHEP 06 (2011) 102
•
e-Print:
- 1103.1181
•
DOI:
- 10.1007/JHEP06(2011)102

On the RG running of the entanglement entropy of a circle

- Phys.Rev.D 85 (2012) 125016
•
e-Print:
- 1202.5650
•
DOI:
- 10.1103/PhysRevD.85.125016

A c-theorem for the entanglement entropy

- J.Phys.A 40 (2007) 7031-7036
•
e-Print:
- cond-mat/0610375
•
DOI:
- 10.1088/1751-8113/40/25/S57

Modular Hamiltonians on the null plane and the Markov property of the vacuum state

Horacio Casini
(
- Buenos Aires, CONICET and
- Centro Atomico Bariloche
)
,
Eduardo Teste
(
- Buenos Aires, CONICET and
- Centro Atomico Bariloche
)
,
Gonzalo Torroba
(
- Buenos Aires, CONICET and
- Centro Atomico Bariloche
)

- J.Phys.A 50 (2017) 36, 364001
•
e-Print:
- 1703.10656
•
DOI:
- 10.1088/1751-8121/aa7eaa

Markov Property of the Conformal Field Theory Vacuum and the a Theorem

Horacio Casini
(
- Buenos Aires, CONICET and
- Centro Atomico Bariloche
)
,
Eduardo Testé
(
- Buenos Aires, CONICET and
- Centro Atomico Bariloche
)
,
Gonzalo Torroba
(
- Buenos Aires, CONICET and
- Centro Atomico Bariloche
)

- Phys.Rev.Lett. 118 (2017) 26, 261602
•
e-Print:
- 1704.01870
•
DOI:
- 10.1103/PhysRevLett.118.261602

[11]

Supergravity description of field theories on curved manifolds and a no go theorem

Juan Martin Maldacena
(
- Harvard U.
)
,
Carlos Nunez
(
- Harvard U.
)

- Int.J.Mod.Phys.A 16 (2001) 822-855,
•
e-Print:
- hep-th/0007018
•
DOI:
- 10.1142/S0217751X01003937

Five-branes wrapped on associative three cycles

- Phys.Rev.D 63 (2001) 106003
•
e-Print:
- hep-th/0011190
•
DOI:
- 10.1103/PhysRevD.63.106003

M Five-branes wrapped on supersymmetric cycles

- Phys.Rev.D 63 (2001) 126001
•
e-Print:
- hep-th/0012195
•
DOI:
- 10.1103/PhysRevD.63.126001

Membranes wrapped on holomorphic curves

- Phys.Rev.D 65 (2002) 026003
•
e-Print:
- hep-th/0105250
•
DOI:
- 10.1103/PhysRevD.65.026003

M five-branes wrapped on supersymmetric cycles. 2.

- Phys.Rev.D 65 (2002) 086003
•
e-Print:
- hep-th/0109039
•
DOI:
- 10.1103/PhysRevD.65.086003

Various wrapped branes from gauged supergravities

Michihiro Naka
(
- Tokyo U., Komaba
)

e-Print:
- hep-th/0206141

AdS/CFT Dual Pairs from M5-Branes on Riemann Surfaces

Ibrahima Bah
(
- Michigan U., MCTP
)
,
Christopher Beem
(
- SUNY, Stony Brook
)
,
Nikolay Bobev
(
- SUNY, Stony Brook
)
,
Brian Wecht
(
- Harvard U. and
- Queen Mary, U. of London
)

- Phys.Rev.D 85 (2012) 121901
•
e-Print:
- 1112.5487
•
DOI:
- 10.1103/PhysRevD.85.121901

[18]

Four-Dimensional SCFTs from M5-Branes

Ibrahima Bah
(
- Michigan U., MCTP
)
,
Christopher Beem
(
- SUNY, Stony Brook
)
,
Nikolay Bobev
(
- SUNY, Stony Brook
)
,
Brian Wecht
(
- Harvard U. and
- Queen Mary, U. of London
)

- JHEP 06 (2012) 005
•
e-Print:
- 1203.0303
•
DOI:
- 10.1007/JHEP06(2012)005

[19]

Two-dimensional SCFTs from wrapped branes and c-extremization

- JHEP 06 (2013) 005
•
e-Print:
- 1302.4451
•
DOI:
- 10.1007/JHEP06(2013)005

[20]

Two-dimensional SCFTs from D3-branes

Francesco Benini
(
- Imperial Coll., London
)
,
Nikolay Bobev
(
- Leuven U.
)
,
P. Marcos Crichigno
(
- Utrecht U. and
- Utrecht U., Spinoza Inst.
)

- JHEP 07 (2016) 020
•
e-Print:
- 1511.09462
•
DOI:
- 10.1007/JHEP07(2016)020

[21]

Universal RG Flows Across Dimensions and Holography

Nikolay Bobev
(
- Leuven U.
)
,
P. Marcos Crichigno
(
- Amsterdam U.
)

- JHEP 12 (2017) 065
•
e-Print:
- 1708.05052
•
DOI:
- 10.1007/JHEP12(2017)065

[22]

Supersymmetric AdS $_{6}$ black holes from F(4) gauged supergravity

Minwoo Suh
(
- Kyungpook Natl. U.
)

- JHEP 01 (2019) 035
•
e-Print:
- 1809.03517
•
DOI:
- 10.1007/JHEP01(2019)035

[23]

Supersymmetric $AdS_6$ black holes from matter coupled $F(4)$ gauged supergravity

Minwoo Suh
(
- Kyungpook Natl. U.
)

- JHEP 02 (2019) 108
•
e-Print:
- 1810.00675
•
DOI:
- 10.1007/JHEP02(2019)108

[24]

Compactifications of the Klebanov-Witten CFT and new AdS $_{3}$ backgrounds

Yago Bea
(
- Santiago de Compostela U. and
- Santiago de Compostela U., IGFAE
)
,
Jose D. Edelstein
(
- Santiago de Compostela U. and
- Santiago de Compostela U., IGFAE
)
,
Georgios Itsios
(
- Santiago de Compostela U. and
- Santiago de Compostela U., IGFAE
)
,
Karta S. Kooner
(
- Swansea U.
)
,
Carlos Nunez
(
- Swansea U. and
- Southern Denmark U., CP3-Origins
)

et al.

- JHEP 05 (2015) 062
•
e-Print:
- 1503.07527
•
DOI:
- 10.1007/JHEP05(2015)062

[25]

c-functions in flows across dimensions

Alfredo González Lezcano
(
- APCTP, Pohang
)
,
Junho Hong
(
- Leuven U.
)
,
James T. Liu
(
- Michigan U., LCTP
)
,
Leopoldo A. Pando Zayas
(
- Michigan U., LCTP and
- ICTP, Trieste
)
,
Christoph F. Uhlemann
(
- Michigan U., LCTP
)

- JHEP 10 (2022) 083
•
e-Print:
- 2207.09360
•
DOI:
- 10.1007/JHEP10(2022)083

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