Exact approaches on the string worldsheet - INSPIRE

DataBETA

Exact approaches on the string worldsheet

Saskia Demulder
(
- Ben Gurion U. of Negev
)
,
Sibylle Driezen
(
- Zurich, ETH
)
,
Bob Knighton
(
- Cambridge U., DAMTP
)
,
Gerben Oling
(
- Edinburgh U., Sch. Math.
)
,
Ana L. Retore
(
- Durham U., Dept. of Math.
)

Dec 20, 2023

290 pages

Published in:

J.Phys.A 57 (2024) 42, 423001

Published: Sep 30, 2024

e-Print:

2312.12930 [hep-th]

DOI:

10.1088/1751-8121/ad72be

Report number:

NORDITA 2023-083

View in:

ADS Abstract Service

reference search22 citations

Citations per year

Abstract: (IOP)

We review different exact approaches to string theory. In the context of the Green–Schwarz superstring, we discuss the action in curved backgrounds and its supercoset formulation, with particular attention to superstring backgrounds of the AdS

_{3}

type supported by both Ramond–Ramond and Neveu–Schwarz–Neveu–Schwarz fluxes. This is the basis for the discussion of classical integrability, of worldsheet-scattering factorisation in the uniform lightcone gauge, and eventually of the string spectrum through the mirror thermodynamic Bethe ansatz, which for AdS

_{3}

backgrounds was only derived and analysed very recently. We then illustrate some aspects of the Ramond–Neveu–Schwarz string, and introduce the formalism of Berkovits–Vafa–Witten, which has seen very recent applications to AdS

_{3}

physics, which we also briefly review. Finally, we present the relation between M-theory in the discrete lightcone quantisation and decoupling limits of string theory that exhibit non-relativistic behaviors, highlighting the connection with integrable

T\bar{T}

deformations, as well as the relation between spin-matrix theory and Landau–Lifshitz models.This review is based on lectures given at the Young Researchers Integrability School and Workshop 2022 ‘Taming the string worldsheet’ at NORDITA, Stockholm.

Note:

283 pages; v2: references added

integrable sigma models
worldsheet S matrix
mirror thermodynamic Bethe ansatz
hybrid superstring
Green–Schwarz superstring
non-relativistic strings
AdS3/CFT2
string: Green-Schwarz
string: spectrum
Bethe ansatz: thermodynamical

References(380)

Figures(4)

[1]

Dimensional reduction in quantum gravity

Gerard 't Hooft
(
- Utrecht U.
)

- Conf.Proc.C 930308 (1993) 284-296
•
e-Print:
- gr-qc/9310026

[2]

The World as a hologram

Leonard Susskind
(
- Stanford U., Phys. Dept.
)

- J.Math.Phys. 36 (1995) 6377-6396
•
e-Print:
- hep-th/9409089
•
DOI:
- 10.1063/1.531249

[3]

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

[4]

Gauge theory correlators from noncritical string theory

S.S. Gubser
(
- Princeton U.
)
,
Igor R. Klebanov
(
- Princeton U.
)
,
Alexander M. Polyakov
(
- Princeton U.
)

- Phys.Lett.B 428 (1998) 105-114
•
e-Print:
- hep-th/9802109
•
DOI:
- 10.1016/S0370-2693(98)00377-3

[5]

Anti-de Sitter space and holography

Edward Witten
(
- Princeton, Inst. Advanced Study
)

- Adv.Theor.Math.Phys. 2 (1998) 253-291
•
e-Print:
- hep-th/9802150
•
DOI:
- 10.4310/ATMP.1998.v2.n2.a2

[6]

Superstring perturbation theory and Ramond-Ramond backgrounds

- Phys.Rev.D 60 (1999) 106002
•
e-Print:
- hep-th/9904104
•
DOI:
- 10.1103/PhysRevD.60.106002

[7]

Quantization of superstrings in Ramond-Ramond backgrounds

- Phys.Rev.D 63 (2001) 026004
•
e-Print:
- hep-th/9910145
•
DOI:
- 10.1103/PhysRevD.63.026004

Strings in Ramond-Ramond Backgrounds from the Neveu-Schwarz-Ramond Formalism

Minjae Cho
(
- Harvard U., Phys. Dept.
)
,
Scott Collier
(
- Harvard U., Phys. Dept.
)
,
Xi Yin
(
- Harvard U., Phys. Dept. and
- MIT, Cambridge, CTP
)

- JHEP 12 (2020) 123
•
e-Print:
- 1811.00032
•
DOI:
- 10.1007/JHEP12(2020)123

[9]

Superstring Theory. Vol. 1: Introduction (Cambridge Monographs on Mathematical Physics)

M.B. Green
,
J.H. Schwarz
,
E. Witten

[10]

Superstring Theory Vol. 2: 25th Anniversary Edition (Cambridge Monographs on Mathematical Physics)

M.B. Green
,
J.H. Schwarz
,
E. Witten

[11]

String Theory. Vol. 1: An Introduction to the Bosonic String (Cambridge Monographs on Mathematical Physics)

J. Polchinski

[12]

String Theory. Vol. 2: Superstring Theory and Beyond (Cambridge Monographs on Mathematical Physics)

J. Polchinski

A New maximally supersymmetric background of IIB superstring theory

- JHEP 01 (2002) 047
•
e-Print:
- hep-th/0110242
•
DOI:
- 10.1088/1126-6708/2002/01/047

[14]

Type IIB Green-Schwarz superstring in plane wave Ramond-Ramond background

R.R. Metsaev
(
- Lebedev Inst.
)

- Nucl.Phys.B 625 (2002) 70-96
•
e-Print:
- hep-th/0112044
•
DOI:
- 10.1016/S0550-3213(02)00003-2

[15]

Exactly solvable model of superstring in Ramond-Ramond plane wave background

R.R. Metsaev
(
- Lebedev Inst.
)
,
Arkady A. Tseytlin
(
- Imperial Coll., London and
- Ohio State U.
)

- Phys.Rev.D 65 (2002) 126004
•
e-Print:
- hep-th/0202109
•
DOI:
- 10.1103/PhysRevD.65.126004

[16]

Comments on string theory on AdS(3)

Amit Giveon
(
- Hebrew U.
)
,
D. Kutasov
(
- Chicago U. and
- Weizmann Inst.
)
,
Nathan Seiberg
(
- Princeton, Inst. Advanced Study
)

- Adv.Theor.Math.Phys. 2 (1998) 733-782
•
e-Print:
- hep-th/9806194
•
DOI:
- 10.4310/ATMP.1998.v2.n4.a3

[17]

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

[18]

A Planar Diagram Theory for Strong Interactions

Gerard 't Hooft
(
- CERN
)

- Nucl.Phys.B 72 (1974) 461,
•
DOI:
- 10.1016/0550-3213(74)90154-0

The Bethe ansatz for N=4 superYang-Mills

- JHEP 03 (2003) 013
•
e-Print:
- hep-th/0212208
•
DOI:
- 10.1088/1126-6708/2003/03/013

[20]

Hidden Symmetries of the AdS $_5 \times S^5$ Superstring

Iosif Bena
(
- UCLA
)
,
Joseph Polchinski
(
- Santa Barbara, KITP
)
,
Radu Roiban
(
- UC, Santa Barbara
)

- Phys.Rev.D 69 (2004) 046002
•
e-Print:
- hep-th/0305116
•
DOI:
- 10.1103/PhysRevD.69.046002

[21]

Foundations of the AdS $_{5} \times S^{5}$ Superstring. Part I

- J.Phys.A 42 (2009) 254003
•
e-Print:
- 0901.4937
•
DOI:
- 10.1088/1751-8113/42/25/254003

[22]

Review of AdS/CFT Integrability: An Overview

Niklas Beisert
(
- Potsdam, Max Planck Inst.
)
,
Changrim Ahn
(
- Ewha Women's U., Seoul
)
,
Luis F. Alday
(
- Oxford U. and
- Princeton, Inst. Advanced Study
)
,
Zoltan Bajnok
(
- Hungarian Acad. Sci., Budapest
)
,
James M. Drummond
(
- CERN and
- Annecy, LAPTH
)

et al.

- Lett.Math.Phys. 99 (2012) 3-32
•
e-Print:
- 1012.3982
•
DOI:
- 10.1007/s11005-011-0529-2

Conformal field theory of AdS background with Ramond-Ramond flux

Nathan Berkovits
(
- Sao Paulo, IFT
)
,
Cumrun Vafa
(
- Harvard U.
)
,
Edward Witten
(
- Princeton, Inst. Advanced Study
)

- JHEP 03 (1999) 018
•
e-Print:
- hep-th/9902098
•
DOI:
- 10.1088/1126-6708/1999/03/018

The Worldsheet Dual of the Symmetric Product CFT

Lorenz Eberhardt
(
- Zurich, ETH
)
,
Matthias R. Gaberdiel
(
- Zurich, ETH
)
,
Rajesh Gopakumar
(
- ICTS, Bangalore
)

- JHEP 04 (2019) 103
•
e-Print:
- 1812.01007
•
DOI:
- 10.1007/JHEP04(2019)103

B-field in AdS(3)/CFT(2) Correspondence and Integrability

A. Cagnazzo
(
- Nordita and
- Royal Inst. Tech., Stockholm
)
,
K. Zarembo
(
- Nordita and
- Royal Inst. Tech., Stockholm and
- Uppsala U. and
- Moscow, ITEP
)

- JHEP 11 (2012) 133,
- JHEP 04 (2013) 003 (erratum)
•
e-Print:
- 1209.4049
•
DOI:
- 10.1007/JHEP11(2012)133

1-25 of 380
1
2
3
4
5
•••
16
25 / page