A Heterotic Kodaira--Spencer Theory at One-Loop
Ashmore, Anthony; Murgas Ibarra, Javier Jose; McNutt, David Duncan; Strickland-Constable, Charles; Svanes, Eirik Eik; Tennyson, David; Winje, Sander
Peer reviewed, Journal article
Published version
Permanent lenke
https://hdl.handle.net/11250/3109299Utgivelsesdato
2023-10Metadata
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Originalversjon
Ashmore, A., Murgas Ibarra, J.J., McNutt, D.D., Strickland-Constable, C., Svanes, E.E., Tennyson, D. & Winje, A. (2023) A heterotic Kodaira-Spencer theory at one-loop. Journal of High Energy Physics, 130 (2023). 10.1007/JHEP10(2023)130Sammendrag
We consider a heterotic version of six-dimensional Kodaira-Spencer gravity derived from the heterotic superpotential. We compute the one-loop partition function and find it can be expressed as a product of holomorphic Ray-Singer torsions. We discuss its topological properties and potential gauge and gravitational anomalies. We show these anomalies can be cancelled using Green-Schwarz-like counter-terms. We also discuss the dependence on the background geometry, and in particular the choice of hermitian metric needed for quantisation. Given suitable topological constraints, this dependence may again be cancelled by the addition of purely background-dependent counter-terms. We also explain how our methods provide the one-loop partition functions of a large class of more general holomorphic field theories in terms of holomorphic Ray-Singer torsions.