Higher derivative heterotic supergravity on a torus and supersymmetry

Abstract Ignoring ten-dimensional heterotic gauge fields, heterotic supergravity reduced on a d-dimensional torus gives rise to a half-maximal supergravity coupled to d vector multiplets. The reduced theory has a continuous O(d, d; ℝ)/O(d)− × O(d)+ symmetry that persists to all perturbative orders i...

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Bibliographic Details
Main Authors: Sabarenath Jayaprakash, James T. Liu
Format: Article
Language:English
Published: SpringerOpen 2024-12-01
Series:Journal of High Energy Physics
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Online Access:https://doi.org/10.1007/JHEP12(2024)076
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Summary:Abstract Ignoring ten-dimensional heterotic gauge fields, heterotic supergravity reduced on a d-dimensional torus gives rise to a half-maximal supergravity coupled to d vector multiplets. The reduced theory has a continuous O(d, d; ℝ)/O(d)− × O(d)+ symmetry that persists to all perturbative orders in the string α ′ expansion. We highlight this symmetry by explicitly reducing the bosonic sector of four-derivative heterotic supergravity as well as its fermionic supersymmetry variations. After appropriate field redefinitions, the resulting action and supersymmetry variations are manifestly O(d) − × O(d)+ invariant. This reduction allows us to explore the interplay between the gravity and vector multiplets beyond leading order, where (in our conventions) O(d)− is the supergravity R-symmetry while O(d)+ is a flavor symmetry of the d vector multiplets.
ISSN:1029-8479