W-symmetries, anomalies and heterotic backgrounds with non-compact holonomy

G. Papadopoulos; J. Phillips

doi:10.1016/j.nuclphysb.2024.116618

W-symmetries, anomalies and heterotic backgrounds with non-compact holonomy

G. Papadopoulos^*, J. Phillips

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

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Abstract

We determine the algebra of holonomy symmetries of sigma models propagating on supersymmetric heterotic backgrounds with a non-compact holonomy group. We demonstrate that these close as a W-algebra, which in turn is specified by a Lie algebra structure on the space of covariantly constant forms that generate the holonomy symmetries. In addition, we identify the chiral anomalies associated with these symmetries. We argue that these anomalies are consistent and can be cancelled up to two loops in the sigma model perturbation theory.

Original language	English
Article number	116618
Journal	Nuclear Physics B
Volume	1005
DOIs	https://doi.org/10.1016/j.nuclphysb.2024.116618
Publication status	Published - Aug 2024

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10.1016/j.nuclphysb.2024.116618

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title = "W-symmetries, anomalies and heterotic backgrounds with non-compact holonomy",

abstract = "We determine the algebra of holonomy symmetries of sigma models propagating on supersymmetric heterotic backgrounds with a non-compact holonomy group. We demonstrate that these close as a W-algebra, which in turn is specified by a Lie algebra structure on the space of covariantly constant forms that generate the holonomy symmetries. In addition, we identify the chiral anomalies associated with these symmetries. We argue that these anomalies are consistent and can be cancelled up to two loops in the sigma model perturbation theory.",

author = "G. Papadopoulos and J. Phillips",

note = "Publisher Copyright: {\textcopyright} 2024 The Author(s)",

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AU - Phillips, J.

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N2 - We determine the algebra of holonomy symmetries of sigma models propagating on supersymmetric heterotic backgrounds with a non-compact holonomy group. We demonstrate that these close as a W-algebra, which in turn is specified by a Lie algebra structure on the space of covariantly constant forms that generate the holonomy symmetries. In addition, we identify the chiral anomalies associated with these symmetries. We argue that these anomalies are consistent and can be cancelled up to two loops in the sigma model perturbation theory.

AB - We determine the algebra of holonomy symmetries of sigma models propagating on supersymmetric heterotic backgrounds with a non-compact holonomy group. We demonstrate that these close as a W-algebra, which in turn is specified by a Lie algebra structure on the space of covariantly constant forms that generate the holonomy symmetries. In addition, we identify the chiral anomalies associated with these symmetries. We argue that these anomalies are consistent and can be cancelled up to two loops in the sigma model perturbation theory.

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U2 - 10.1016/j.nuclphysb.2024.116618

DO - 10.1016/j.nuclphysb.2024.116618

M3 - Article

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SN - 0550-3213

VL - 1005

JO - Nuclear Physics B

JF - Nuclear Physics B

M1 - 116618

ER -

W-symmetries, anomalies and heterotic backgrounds with non-compact holonomy

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