On the worldsheet S matrix of the AdS3/CFT2 mixed-flux mirror model

被引：4

作者：

Baglioni, Nicola ^{[1
]}

Polvara, Davide ^{[1
,2
]}

Pone, Andrea ^{[1
]}

Sfondrini, Alessandro ^{[1
,2
]}

机构：

[1] Univ Padua, Dipartimento Fis & Astron, Via Marzolo 8, I-35131 Padua, Italy

[2] Ist Nazl Fis Nucleare, Sez Padova, Via Marzolo 8, I-35131 Padua, Italy

来源：

JOURNAL OF HIGH ENERGY PHYSICS | 2024年 / 05期

基金：

欧洲研究理事会;

关键词：

AdS-CFT Correspondence; Field Theories in Lower Dimensions; Integrable Field Theories; QUANTUM-FIELD THEORIES; S-3 X T-4; ADS/CFT INTEGRABILITY; VOLUME DEPENDENCE; ENERGY-SPECTRUM; STRINGS;

D O I：

10.1007/JHEP05(2024)237

中图分类号：

O412 [相对论、场论]; O572.2 [粒子物理学];

学科分类号：

摘要：

String on AdS(3) x S-3 x T-4 backgrounds are known to be classically integrable in the presence of a mixture of Ramond-Ramond and Neveu-Schwarz-Neveu-Schwarz fluxes. It is expected that this results in the existence of a well-defined factorised worldsheet S matrix. In order to use integrability to compute the string spectrum we need such a factorised S matrix to exist also for the "mirror" model, obtained by a double Wick rotation of the original worldsheet theory. In the mixed-flux case the mirror model has a complex Hamiltonian, which raises questions on its well-definedness. In the paper we study the worldsheet tree-level S matrix of the original and mirror model and discuss some necessary conditions for the integrability and reality of the spectrum.

引用

页数：38

共 45 条

[31] On string theory on AdS3 x S3 x T4 with mixed 3-form flux: Tree-level S-matrix [J].

Hoare, B. ;

Tseytlin, A. A. .

NUCLEAR PHYSICS B, 2013, 873 (03) :682-727

[32] On the massless tree-level S-matrix in 2d sigma models [J].

Hoare, Ben ;

Levine, Nat ;

Tseytlin, Arkady A. .

JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL, 2019, 52 (14)

[33] Review of AdS/CFT Integrability, Chapter III.5: Luscher Corrections [J].

Janik, Romuald A. .

LETTERS IN MATHEMATICAL PHYSICS, 2012, 99 (1-3) :277-297

[34] Factorized tree-level scattering in AdS4 X CP3 [J].

Kalousios, Chrysostomos ;

Vergu, C. ;

Volovich, Anastasia .

JOURNAL OF HIGH ENERGY PHYSICS, 2009, (09)

[35] Worldsheet scattering in AdS5 x S5 [J].

Klose, Thomas ;

McLoughlin, Tristan ;

Roiban, Radu ;

Zarembo, Konstantin .

JOURNAL OF HIGH ENERGY PHYSICS, 2007, (03)

[36] The complete worldsheet S matrix of superstrings on AdS3 x S3 x T4 with mixed three-form flux [J].

Lloyd, Thomas ;

Sax, Olof Ohlsson ;

Sfondrini, Alessandro ;

Stefanski, Bogdan, Jr. .

NUCLEAR PHYSICS B, 2015, 891 :570-612

[37] VOLUME DEPENDENCE OF THE ENERGY-SPECTRUM IN MASSIVE QUANTUM-FIELD THEORIES .2. SCATTERING STATES [J].

LUSCHER, M .

COMMUNICATIONS IN MATHEMATICAL PHYSICS, 1986, 105 (02) :153-188

[38] VOLUME DEPENDENCE OF THE ENERGY-SPECTRUM IN MASSIVE QUANTUM-FIELD THEORIES .1. STABLE PARTICLE STATES [J].

LUSCHER, M .

COMMUNICATIONS IN MATHEMATICAL PHYSICS, 1986, 104 (02) :177-206

[39] Strings in AdS3 and the SL(2,R) WZW model.: I:: The spectrum [J].

Maldacena, J ;

Ooguri, H .

JOURNAL OF MATHEMATICAL PHYSICS, 2001, 42 (07) :2929-2960

[40] Pseudo-Hermiticity versus PT symmetry:: The necessary condition for the reality of the spectrum of a non-Hermitian Hamiltonian [J].

Mostafazadeh, A .

JOURNAL OF MATHEMATICAL PHYSICS, 2002, 43 (01) :205-214

← 1 2 3 4 5 →