W-symmetries, anomalies and heterotic backgrounds with SU holonomy

L. Grimanellis; G. Papadopoulos; E. Pérez-Bolaños

doi:10.1016/j.nuclphysb.2023.116409

W-symmetries, anomalies and heterotic backgrounds with SU holonomy

L. Grimanellis, G. Papadopoulos^*, E. Pérez-Bolaños

^*Corresponding author for this work

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

1 Citation (Scopus)

Abstract

We show that the sigma models with target spaces supersymmetric heterotic backgrounds with SU(2) and SU(3) holonomy are invariant under a W-symmetry algebra generated by the covariantly constant forms of these backgrounds. The closure of the W-algebra requires additional generators that we identify. We prove that the chiral anomalies of all these symmetries are consistent at one-loop in perturbation theory. We also demonstrate that these anomalies cancel at the same loop level either by adding suitable finite local counterterms in the sigma model effective action or by assuming a plausible quantum correction to the transformations. Such a correction is compatible with both the cancellation mechanism for spacetime frame rotation and gauge transformation anomalies, and the correction to the heterotic supergravity up to two loops in the sigma model perturbation theory.

Original language	English
Article number	116409
Journal	Nuclear Physics B
Volume	998
DOIs	https://doi.org/10.1016/j.nuclphysb.2023.116409
Publication status	Published - Jan 2024

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

abstract = "We show that the sigma models with target spaces supersymmetric heterotic backgrounds with SU(2) and SU(3) holonomy are invariant under a W-symmetry algebra generated by the covariantly constant forms of these backgrounds. The closure of the W-algebra requires additional generators that we identify. We prove that the chiral anomalies of all these symmetries are consistent at one-loop in perturbation theory. We also demonstrate that these anomalies cancel at the same loop level either by adding suitable finite local counterterms in the sigma model effective action or by assuming a plausible quantum correction to the transformations. Such a correction is compatible with both the cancellation mechanism for spacetime frame rotation and gauge transformation anomalies, and the correction to the heterotic supergravity up to two loops in the sigma model perturbation theory.",

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AU - Grimanellis, L.

AU - Papadopoulos, G.

AU - Pérez-Bolaños, E.

PY - 2024/1

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N2 - We show that the sigma models with target spaces supersymmetric heterotic backgrounds with SU(2) and SU(3) holonomy are invariant under a W-symmetry algebra generated by the covariantly constant forms of these backgrounds. The closure of the W-algebra requires additional generators that we identify. We prove that the chiral anomalies of all these symmetries are consistent at one-loop in perturbation theory. We also demonstrate that these anomalies cancel at the same loop level either by adding suitable finite local counterterms in the sigma model effective action or by assuming a plausible quantum correction to the transformations. Such a correction is compatible with both the cancellation mechanism for spacetime frame rotation and gauge transformation anomalies, and the correction to the heterotic supergravity up to two loops in the sigma model perturbation theory.

AB - We show that the sigma models with target spaces supersymmetric heterotic backgrounds with SU(2) and SU(3) holonomy are invariant under a W-symmetry algebra generated by the covariantly constant forms of these backgrounds. The closure of the W-algebra requires additional generators that we identify. We prove that the chiral anomalies of all these symmetries are consistent at one-loop in perturbation theory. We also demonstrate that these anomalies cancel at the same loop level either by adding suitable finite local counterterms in the sigma model effective action or by assuming a plausible quantum correction to the transformations. Such a correction is compatible with both the cancellation mechanism for spacetime frame rotation and gauge transformation anomalies, and the correction to the heterotic supergravity up to two loops in the sigma model perturbation theory.

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DO - 10.1016/j.nuclphysb.2023.116409

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SN - 0550-3213

VL - 998

JO - Nuclear Physics B

JF - Nuclear Physics B

M1 - 116409

ER -

W-symmetries, anomalies and heterotic backgrounds with SU holonomy

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