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@article{1705516,
author = {Hronek, Stanislav and Wulff, Jörgen Linus},
article_location = {New York},
article_number = {10},
doi = {http://dx.doi.org/10.1007/JHEP10(2020)065},
keywords = {Bosonic Strings; Conformal Field Models in String Theory; String Duality},
language = {eng},
issn = {1029-8479},
journal = {Journal of High Energy Physics},
title = {Relaxing unimodularity for Yang-Baxter deformed strings},
url = {https://doi.org/10.1007/JHEP10(2020)065},
volume = {Neuveden},
year = {2020}
}
TY - JOUR
ID - 1705516
AU - Hronek, Stanislav - Wulff, Jörgen Linus
PY - 2020
TI - Relaxing unimodularity for Yang-Baxter deformed strings
JF - Journal of High Energy Physics
VL - Neuveden
IS - 10
SP - 1-19
EP - 1-19
PB - Springer
SN - 10298479
KW - Bosonic Strings
KW - Conformal Field Models in String Theory
KW - String Duality
UR - https://doi.org/10.1007/JHEP10(2020)065
L2 - https://doi.org/10.1007/JHEP10(2020)065
N2 - We consider so-called Yang-Baxter deformations of bosonic string sigma- models, based on an R-matrix solving the (modified) classical Yang-Baxter equation. It is known that a unimodularity condition on R is sufficient for Weyl invariance at least to two loops (first order in alpha (')). Here we ask what the necessary condition is. We find that in cases where the matrix (G + B)(mn), constructed from the metric and B-field of the undeformed background, is degenerate the unimodularity condition arising at one loop can be replaced by weaker conditions. We further show that for non-unimodular deformations satisfying the one-loop conditions the Weyl invariance extends at least to two loops (first order in alpha (')). The calculations are simplified by working in an O(D, D)-covariant doubled formulation.
ER -
HRONEK, Stanislav a Jörgen Linus WULFF. Relaxing unimodularity for Yang-Baxter deformed strings. \textit{Journal of High Energy Physics}. New York: Springer, 2020, Neuveden, č.~10, s.~1-19. ISSN~1029-8479. Dostupné z: https://dx.doi.org/10.1007/JHEP10(2020)065.
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