Abstract
Abstract
We study the topological G2 and Spin(7) strings at 1-loop. We define new double complexes for supersymmetric NSNS backgrounds of string theory using generalised geometry. The 1-loop partition function then has a target-space interpretation as a particular alternating product of determinants of Laplacians, which we have dubbed the analytic torsion. In the case without flux where these backgrounds have special holonomy, we reproduce the worldsheet calculation of the G2 string and give a new prediction for the Spin(7) string. We also comment on connections with topological strings on Calabi-Yau and K3 backgrounds.
Publisher
Springer Science and Business Media LLC
Subject
Nuclear and High Energy Physics
Reference105 articles.
1. E. Witten, Mirror manifolds and topological field theory, in AMS/IP Studies in Advanced Mathematics 9, American Mathematical Society, Providence RI U.S.A. (1998), pp. 121–160 [hep-th/9112056] [INSPIRE].
2. R. Dijkgraaf, S. Gukov, A. Neitzke and C. Vafa, Topological M-theory as unification of form theories of gravity, Adv. Theor. Math. Phys. 9 (2005) 603 [hep-th/0411073] [INSPIRE].
3. A.A. Gerasimov and S.L. Shatashvili, Towards integrability of topological strings. I. Three-forms on Calabi-Yau manifolds, JHEP 11 (2004) 074 [hep-th/0409238] [INSPIRE].
4. N. Nekrasov, A la recherche de la M-theorie perdue Z theory: Chasing M/F-theory, in proceedings of the Annual International Conference on Strings, Theory and Applications, Paris, France, 28 June–2 July 2004, hep-th/0412021 [INSPIRE].
5. E. Witten, Topological Sigma Models, Commun. Math. Phys. 118 (1988) 411 [INSPIRE].
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