Trivial solutions of generalized supergravity vs non-abelian T-duality anomaly

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216224%3A14310%2F18%3A00106602" target="_blank" >RIV/00216224:14310/18:00106602 - isvavai.cz</a>

Výsledek na webu

<a href="http://dx.doi.org/10.1016/j.physletb.2018.04.025" target="_blank" >http://dx.doi.org/10.1016/j.physletb.2018.04.025</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1016/j.physletb.2018.04.025" target="_blank" >10.1016/j.physletb.2018.04.025</a>

Jazyk výsledku

angličtina

Název v původním jazyce

Trivial solutions of generalized supergravity vs non-abelian T-duality anomaly

Popis výsledku v původním jazyce

The equations that follow from kappa symmetry of the type II Green-Schwarz string are a certain deformation, by a Killing vector field K, of the type II supergravity equations. We analyze under what conditions solutions of these 'generalized' supergravity equations are trivial in the sense that they solve also the standard supergravity equations. We argue that for this to happen K must be null and satisfy dK = i(K)H with H = dB the NSNS three-form field strength. Non-trivial examples are provided by symmetric pp-wave solutions. We then analyze the consequences for non-abelian T-duality and the closely related homogenous Yang-Baxter sigma models. When one performs non-abelian T-duality of a string sigma model on a non-unimodular (sub)algebra one generates a non-vanishing K proportional to the trace of the structure constants. This is expected to lead to an anomaly but we show that when K satisfies the same conditions the anomaly in fact goes away leading to more possibilities for non anomalous non-abelian T-duality. (C) 2018 The Author(s). Published by Elsevier B.V.

Název v anglickém jazyce

Trivial solutions of generalized supergravity vs non-abelian T-duality anomaly

Popis výsledku anglicky

The equations that follow from kappa symmetry of the type II Green-Schwarz string are a certain deformation, by a Killing vector field K, of the type II supergravity equations. We analyze under what conditions solutions of these 'generalized' supergravity equations are trivial in the sense that they solve also the standard supergravity equations. We argue that for this to happen K must be null and satisfy dK = i(K)H with H = dB the NSNS three-form field strength. Non-trivial examples are provided by symmetric pp-wave solutions. We then analyze the consequences for non-abelian T-duality and the closely related homogenous Yang-Baxter sigma models. When one performs non-abelian T-duality of a string sigma model on a non-unimodular (sub)algebra one generates a non-vanishing K proportional to the trace of the structure constants. This is expected to lead to an anomaly but we show that when K satisfies the same conditions the anomaly in fact goes away leading to more possibilities for non anomalous non-abelian T-duality. (C) 2018 The Author(s). Published by Elsevier B.V.

Druh

J_imp - Článek v periodiku v databázi Web of Science

CEP obor

—

OECD FORD obor

10303 - Particles and field physics

Projekt

—

Návaznosti

I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Rok uplatnění

2018

Kód důvěrnosti údajů

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Název periodika

Physics Letters B

ISSN

0370-2693

e-ISSN

—

Svazek periodika

781

Číslo periodika v rámci svazku

2018

Stát vydavatele periodika

NL - Nizozemsko

Počet stran výsledku

6

Strana od-do

417-422

Kód UT WoS článku

000435653100053

EID výsledku v databázi Scopus

2-s2.0-85045689988