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@article{1694679,
author = {Borsato, Riccardo and Wulff, Jörgen Linus},
article_location = {New York},
article_number = {3},
doi = {http://dx.doi.org/10.1007/JHEP03(2020)126},
keywords = {Bosonic Strings; Conformal Field Models in String Theory; String Duality},
language = {eng},
issn = {1029-8479},
journal = {Journal of High Energy Physics},
title = {Two-loop conformal invariance for Yang-Baxter deformed strings},
url = {https://doi.org/10.1007/JHEP03(2020)126},
volume = {Neuveden},
year = {2020}
}
TY - JOUR
ID - 1694679
AU - Borsato, Riccardo - Wulff, Jörgen Linus
PY - 2020
TI - Two-loop conformal invariance for Yang-Baxter deformed strings
JF - Journal of High Energy Physics
VL - Neuveden
IS - 3
SP - 1-30
EP - 1-30
PB - Springer
SN - 10298479
KW - Bosonic Strings
KW - Conformal Field Models in String Theory
KW - String Duality
UR - https://doi.org/10.1007/JHEP03(2020)126
L2 - https://doi.org/10.1007/JHEP03(2020)126
N2 - 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.
ER -
BORSATO, Riccardo a Jörgen Linus WULFF. Two-loop conformal invariance for Yang-Baxter deformed strings. \textit{Journal of High Energy Physics}. New York: Springer, 2020, Neuveden, č.~3, s.~1-30. ISSN~1029-8479. Dostupné z: https://dx.doi.org/10.1007/JHEP03(2020)126.
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