J 2017

Integrability of the superstring in AdS(3) xS(2) x S-2 x T-3

WULFF, Linus

Basic information

Original name

Integrability of the superstring in AdS(3) xS(2) x S-2 x T-3

Authors

WULFF, Linus (752 Sweden, guarantor, belonging to the institution)

Edition

Journal of Physics A: Mathematical and Theoretical, BRISTOL, IOP PUBLISHING LTD, 2017, 1751-8113

Other information

Language

English

Type of outcome

Článek v odborném periodiku

Field of Study

10303 Particles and field physics

Country of publisher

United Kingdom of Great Britain and Northern Ireland

Confidentiality degree

není předmětem státního či obchodního tajemství

Impact factor

Impact factor: 1.963

RIV identification code

RIV/00216224:14310/17:00100356

Organization unit

Faculty of Science

DOI

UT WoS

000401336500001

Keywords in English

string theory; sigma model; integrability

Tags

Změněno: 5/4/2018 14:57, Ing. Nicole Zrilić

Abstract

V originále

Type II supergravity admits an AdS(3) x S-2 x S-2 x T-3 solution with fluxes depending on several free parameters. We determine the constraints on these parameters imposed by the requirement of (classical) integrability of the superstring sigma model. To do this we analyze the low-energy effective action for the spinning GKP string. The absence of particle production in the tree-level S-matrix of bosonic excitations is shown to imply the vanishing of two of the four parameters in the NSNS three-form flux. This reduces the supergravity background to either the one-parameter AdS(3) x S-2 x S-2 x T-3 background preserving eight supersymmetries, or a non-supersymmetric branch, which differs only by flipping a sign in the RR flux. We show that both these branches can be obtained from AdS(3) x S-3 x S-3 x S-1 by T-dualities on the (Hopf) circle fibers of the three-spheres and therefore the integrability of the string in these backgrounds follows.