Two-loop conformal invariance for Yang-Baxter deformed strings

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216224%3A14310%2F20%3A00116958" target="_blank" >RIV/00216224:14310/20:00116958 - isvavai.cz</a>

Výsledek na webu

<a href="https://doi.org/10.1007/JHEP03(2020)126" target="_blank" >https://doi.org/10.1007/JHEP03(2020)126</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1007/JHEP03(2020)126" target="_blank" >10.1007/JHEP03(2020)126</a>

Jazyk výsledku

angličtina

Název v původním jazyce

Two-loop conformal invariance for Yang-Baxter deformed strings

Popis výsledku v původním jazyce

The so-called homogeneous Yang-Baxter (YB) deformations can be considered a non-abelian generalization of T-duality-shift-T-duality (TsT) transformations. TsT transformations are known to preserve conformal symmetry to all orders in alpha '. Here we argue that (unimodular) YB deformations of a bosonic string also preserve conformal symmetry, at least to two-loop order. We do this by showing that, starting from a background with no NSNS-flux, the deformed background solves the alpha ' -corrected supergravity equations to second order in the deformation parameter. At the same time we determine the required alpha ' -corrections of the deformed background, which take a relatively simple form. In examples that can be constructed using, possibly non-commuting sequences of, TsT transformations we show how to obtain the first alpha ' -correction to all orders in the deformation parameter by making use of the alpha ' -corrected T-duality rules. We demonstrate this on the specific example of YB deformations of a Bianchi type II background.

Název v anglickém jazyce

Two-loop conformal invariance for Yang-Baxter deformed strings

Popis výsledku anglicky

The so-called homogeneous Yang-Baxter (YB) deformations can be considered a non-abelian generalization of T-duality-shift-T-duality (TsT) transformations. TsT transformations are known to preserve conformal symmetry to all orders in alpha '. Here we argue that (unimodular) YB deformations of a bosonic string also preserve conformal symmetry, at least to two-loop order. We do this by showing that, starting from a background with no NSNS-flux, the deformed background solves the alpha ' -corrected supergravity equations to second order in the deformation parameter. At the same time we determine the required alpha ' -corrections of the deformed background, which take a relatively simple form. In examples that can be constructed using, possibly non-commuting sequences of, TsT transformations we show how to obtain the first alpha ' -correction to all orders in the deformation parameter by making use of the alpha ' -corrected T-duality rules. We demonstrate this on the specific example of YB deformations of a Bianchi type II background.

Druh

J_imp - Článek v periodiku v databázi Web of Science

CEP obor

—

OECD FORD obor

10308 - Astronomy (including astrophysics,space science)

Projekt

—

Návaznosti

I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Rok uplatnění

2020

Kód důvěrnosti údajů

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

Název periodika

Journal of High Energy Physics

ISSN

1029-8479

e-ISSN

—

Svazek periodika

Neuveden

Číslo periodika v rámci svazku

3

Stát vydavatele periodika

US - Spojené státy americké

Počet stran výsledku

30

Strana od-do

1-30

Kód UT WoS článku

000526891800001

EID výsledku v databázi Scopus

2-s2.0-85082526013