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G-structure symmetries and anomalies in (1,0) non-linear σ-models

2018/09/30 by Xenia de la Ossa, Marc-Antoine Fiset · 1 citation
Physics and Astronomy · #hep-th

paper · pdf · doi:10.1007/jhep01(2019)062

26 pages. Added missing sentence above (4.21)

arxiv created 2019/09/17 · arxiv updated 2019/09/18

Abstract

A new symmetry of (1,0) supersymmetric non-linear σ-models in two dimensions with Fermi and mass sectors is introduced. It is a generalisation of the so-called special holonomy W-symmetry of Howe and Papadopoulos associated with structure group reductions of the target space M. Our symmetry allows in particular non-trivial flux and instanton-like connections on vector bundles over M. We also investigate potential anomalies and show that cohomologically non-trivial terms in the quantum effective action are invariant under a corrected version of our symmetry. Consistency with heterotic supergravity at first order in α' is manifest and discussed.

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