Author:
Ashmore Anthony,Murgas Ibarra Javier José,McNutt David Duncan,Strickland-Constable Charles,Svanes Eirik Eik,Tennyson David,Winje Sander
Abstract
Abstract
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.
Publisher
Springer Science and Business Media LLC
Subject
Nuclear and High Energy Physics
Reference101 articles.
1. E. Witten, Topological Sigma Models, Commun. Math. Phys. 118 (1988) 411 [INSPIRE].
2. P. Candelas, X.C. De La Ossa, P.S. Green and L. Parkes, A Pair of Calabi-Yau manifolds as an exactly soluble superconformal theory, Nucl. Phys. B 359 (1991) 21 [INSPIRE].
3. M. Kontsevich, Homological Algebra of Mirror Symmetry, alg-geom/9411018 [INSPIRE].
4. R. Gopakumar and C. Vafa, M theory and topological strings. 1, hep-th/9809187 [INSPIRE].
5. R. Gopakumar and C. Vafa, M theory and topological strings. 2, hep-th/9812127 [INSPIRE].