Superstrings in Thermal Anti-de Sitter Space

Ashok, Sujay K.; Troost, Jan

doi:10.1007/JHEP04(2021)007

Superstrings in Thermal Anti-de Sitter Space

Sujay K. Ashok
(
- IMSc, Chennai
)
,
Jan Troost
(
- LPENS, Paris
)

Dec 15, 2020

58 pages

Published in:

JHEP 04 (2021) 007

Published: Apr 1, 2021

e-Print:

2012.08404 [hep-th]

DOI:

10.1007/JHEP04(2021)007

View in:

reference search9 citations

Citations per year

Abstract: (arXiv)

We revisit the calculation of the thermal free energy for string theory in three-dimensional anti-de Sitter spacetime with Neveu-Schwarz-Neveu-Schwarz flux. The path integral calculation is exploited to confirm the off-shell Hilbert space and we find that the Casimir of the discrete representations of the isometry group takes values in a half-open interval. We extend the free energy calculation to the case of superstrings, calculate the boundary toroidal twisted partition function in the Ramond-Ramond sector, and prove lower bounds on the boundary conformal dimension from the bulk perspective. We classify Ramond-Ramond ground states and construct their second quantized partition function. The partition function exhibits intriguing modular properties.

Note:

58 pages, 4 figures

Conformal Field Models in String Theory
AdS-CFT Correspondence
space-time: anti-de Sitter
Ramond
dimension: conformal
group: isometry
torus: twist
dimension: 3
partition function
free energy

References(58)

Figures(4)

[1]

The Large N limit of superconformal field theories and supergravity

Juan Martin Maldacena
(
- Harvard U.
)

- Int.J.Theor.Phys. 38 (1999) 1113-1133 (reprint),
- Adv.Theor.Math.Phys. 2 (1998) 231-252
•
e-Print:
- hep-th/9711200
•
DOI:
- 10.4310/ATMP.1998.v2.n2.a1

Strings in AdS(3) and the SL(2,R) WZW model. Part 2. Euclidean black hole

Juan Martin Maldacena
(
- Harvard U.
)
,
Hirosi Ooguri
(
- Caltech
)
,
John Son
(
- Harvard U.
)

- J.Math.Phys. 42 (2001) 2961-2977
•
e-Print:
- hep-th/0005183
•
DOI:
- 10.1063/1.1377039

Strings in AdS(3) and SL(2,R) WZW model 1.: The Spectrum

Juan Martin Maldacena
(
- Harvard U.
)
,
Hirosi Ooguri
(
- Caltech
)

- J.Math.Phys. 42 (2001) 2929-2960
•
e-Print:
- hep-th/0001053
•
DOI:
- 10.1063/1.1377273

[4]

Superstrings on AdS(3) and symmetric products

- JHEP 12 (2000) 003
•
e-Print:
- hep-th/0009242
•
DOI:
- 10.1088/1126-6708/2000/12/003

[5]

A holographic dual for string theory on AdS $_{3}$ ×S $^{3}$ ×S $^{3}$ ×S $^{1}$

Lorenz Eberhardt
(
- Zurich, ETH
)
,
Matthias R. Gaberdiel
(
- Zurich, ETH
)
,
Wei Li
(
- Beijing, Inst. Theor. Phys.
)

- JHEP 08 (2017) 111
•
e-Print:
- 1707.02705
•
DOI:
- 10.1007/JHEP08(2017)111

[6]

COMMENTS ON SU(1,1) STRING THEORY

P.M.S. Petropoulos
(
- Ecole Polytechnique
)

- Phys.Lett.B 236 (1990) 151-158
•
DOI:
- 10.1016/0370-2693(90)90819-R

[7]

Analytic torsion for complex manifolds

- Annals Math. 98 (1973) 154-177
•
DOI:
- 10.2307/1970909

Noncompact WZW conformal field theories

Krzysztof Gawedzki
(
- IHES, Bures-sur-Yvette
)

- NATO ASI: Cargese 1991:0247-274,
- In *Cargese 1991, Proceedings, New symmetry principles in quantum field theory* 247-274 and Bures-sur-Yvette Inst. High Sci. Stud. - IHES-P-91-73 (91/10) 31 p. (116407)
•
e-Print:
- hep-th/9110076

[9]

Evaluation of the One Loop String Path Integral

Joseph Polchinski
(
- Texas U.
)

- Commun.Math.Phys. 104 (1986) 37
•
DOI:
- 10.1007/BF01210791

[10]

The Partition function of the two-dimensional black hole conformal field theory

- JHEP 04 (2002) 014
•
e-Print:
- hep-th/0202129
•
DOI:
- 10.1088/1126-6708/2002/04/014

[11]

BRST quantization of string theory in AdS(3)

Ari Pakman
(
- Hebrew U.
)

- JHEP 06 (2003) 053
•
e-Print:
- hep-th/0304230
•
DOI:
- 10.1088/1126-6708/2003/06/053

[12]

Elliptic genera and real Jacobi forms

Sujay K. Ashok
(
- IMSc, Chennai
)
,
Jan Troost
(
- Ecole Normale Superieure
)

- JHEP 01 (2014) 082
•
e-Print:
- 1310.2124
•
DOI:
- 10.1007/JHEP01(2014)082

[13]

The Partition function of the supersymmetric two-dimensional black hole and little string theory

Dan Israel
(
- Ecole Normale Superieure
)
,
Costas Kounnas
(
- Ecole Normale Superieure
)
,
Ari Pakman
(
- Ecole Normale Superieure and
- Hebrew U.
)
,
Jan Troost
(
- Ecole Normale Superieure
)

- JHEP 06 (2004) 033
•
e-Print:
- hep-th/0403237
•
DOI:
- 10.1088/1126-6708/2004/06/033

[14]

An Integrable spin chain for the SL(2,R)/U(1) black hole sigma model

Yacine Ikhlef
(
- Geneva U.
)
,
Jesper Lykke Jacobsen
(
- Ecole Normale Superieure and
- Paris U., VI-VII
)
,
Hubert Saleur
(
- Saclay, SPhT and
- Southern California U.
)

- Phys.Rev.Lett. 108 (2012) 081601
•
e-Print:
- 1109.1119
•
DOI:
- 10.1103/PhysRevLett.108.081601

[15]

Equilibrium density matrices for the 2D black hole sigma models from an integrable spin chain

Vladimir V. Bazhanov
(
- Australian Natl. U., Canberra
)
,
Gleb A. Kotousov
(
- DESY
)
,
Sergei L. Lukyanov
(
- Rutgers U., Piscataway and
- IITP, Moscow
)

- JHEP 03 (2021) 169
•
e-Print:
- 2010.10603
•
DOI:
- 10.1007/JHEP03(2021)169

[16]

The non-compact elliptic genus: mock or modular

Jan Troost
(
- Ecole Normale Superieure
)

- JHEP 06 (2010) 104
•
e-Print:
- 1004.3649
•
DOI:
- 10.1007/JHEP06(2010)104

[17]

Non-holomorphic Modular Forms and SL(2,R)/U(1) Superconformal Field Theory

- JHEP 03 (2011) 107
•
e-Print:
- 1012.5721
•
DOI:
- 10.1007/JHEP03(2011)107

[18]

A Twisted Non-compact Elliptic Genus

Sujay K. Ashok
(
- IMSc, Chennai
)
,
Jan Troost
(
- Ecole Normale Superieure
)

- JHEP 03 (2011) 067
•
e-Print:
- 1101.1059
•
DOI:
- 10.1007/JHEP03(2011)067

[19]

Lessons on Black Holes from the Elliptic Genus

Amit Giveon
(
- Hebrew U.
)
,
Nissan Itzhaki
(
- Tel Aviv U.
)
,
Jan Troost
(
- Ecole Normale Superieure
)

- JHEP 04 (2014) 160
•
e-Print:
- 1401.3104
•
DOI:
- 10.1007/JHEP04(2014)160

[20]

Long strings and chiral primaries in the hybrid formalism

Lorenz Eberhardt
(
- Zurich, ETH
)
,
Kevin Ferreira
(
- Zurich, ETH
)

- JHEP 02 (2019) 098
•
e-Print:
- 1810.08621
•
DOI:
- 10.1007/JHEP02(2019)098

[21]

A Supersymmetric Wess-Zumino Lagrangian in Two-Dimensions

- Nucl.Phys.B 253 (1985) 701-726
•
DOI:
- 10.1016/0550-3213(85)90554-1

[22]

String theory. Vol. 2: Superstring theory and beyond, Cambridge Monographs on Mathematical Physics, Cambridge University Press, Cambridge U.K / [INSPIRE]

J. Polchinski

[23]

Supersymmetry of the (2+1) black holes

Olivier Coussaert
(
- Brussels U.
)
,
Marc Henneaux
(
- Brussels U.
)

- Phys.Rev.Lett. 72 (1994) 183-186
•
e-Print:
- hep-th/9310194
•
DOI:
- 10.1103/PhysRevLett.72.183

[24]

Supersymmetry, Supergravity Theories and the Dual Spinor Model

F. Gliozzi
(
- Ecole Normale Superieure
)
,
Joel Scherk
(
- Ecole Normale Superieure
)
,
David I. Olive
(
- CERN and
- Bohr Inst.
)

- Nucl.Phys.B 122 (1977) 253-290,
- In *Schwarz, J.H. (ed.): Superstrings, Vol. 1*, 300-337,
- In *Ferrara, S. (ed.): Supersymmetry, Vol. 2*, 1209-1246,
- In *Schellekens, A.N. (ed.): Superstring construction* 33-70
•
DOI:
- 10.1016/0550-3213(77)90206-1

[25]

A Course of Modern / Analysis / Publications, Mineola U.S.A

E. Whittaker
,
G. Watson

1-25 of 58
1
2
3
25 / page