T-Duality, and the K-Theoretic Partition Function of TypeIIA Superstring Theory

Details T-Duality, and the K-Theoretic Partition Function of TypeIIA Superstring Theory T-Duality, and the K-Theoretic Partition Function of TypeIIA Superstring Theory

2002-06-11

arxiv.org/abs/hep-th/0206092v1

Nucl.Phys. B670 (2003) 27-89

Physics

High Energy Physics

High Energy Physics - Theory

73 pages, harvmac, b-mode

Scientific paper

10.1016/j.nuclphysb.2003.07.028

We study the partition function of type IIA string theory on 10-manifolds of the form T^2 x X where X is 8-dimensional, compact, and spin. We pay particular attention to the effects of the topological phases in the supergravity action implied by the K-theoretic formulation of RR fields, and we use these to check the T-duality invariance of the partition function. We find that the partition function is only T-duality invariant when we take into account the T-duality anomalies in the RR sector, the fermionic path integral (including 4-fermi interaction terms), and 1-loop corrections including worldsheet instantons. We comment on applications of our computation to speculations about the role of the Romans mass in M-theory. We also discuss some issues which arise when one attempts to extend these considerations to checking the full U-duality invariance of the theory.

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