New supersymmetric string compactifications

Creators: Kachru, Shamit; Schulz, Michael B.; Tripathy, Prasanta K.; Trivedi, Sandip P.

Abstract

We describe a new class of supersymmetric string compactifications to 4d Minkowski space. These solutions involve type II strings propagating on (orientifolds of) non Calabi-Yau spaces in the presence of background NS and RR fluxes. The simplest examples have descriptions as cosets, generalizing the three-dimensional nilmanifold. They can also be thought of as twisted tori. We derive a formula for the (super) potential governing the light fields, which is generated by the fluxes and certain "twists" in the geometry. Detailed consideration of an example also gives strong evidence that in some cases, these exotic geometries are related by smooth transitions to standard Calabi-Yau or G(2) compactifications of M-theory.

Additional Information

Copyright © Institute of Physics and IOP Publishing Limited 2003. Received 27 March 2003, accepted for publication 31 March 2003. Published 3 April 2003. We would like to acknowledge very useful conversations with A. Dabholkar, S. Gukov, S. Hellerman and G. Moore. We are also grateful to B. Acharya, A. Brandhuber, K. Dasgupta, S. Giddings, J. Gomis, X. Liu, L. McAllister, S. Mukhi, H. Ooguri, S. Prokushkin, T. Ramdas, J. Schwarz, E. Silverstein, H. Verlinde and K. P. Yogendran for helpful comments. S.K. thanks the Aspen Center for Physics for hospitality while this work was in progress. The work of S.K. was supported by a David and Lucile Packard Foundation Fellowship for Science and Engineering, an A.P. Sloan Foundation Fellowship, National Science Foundation grant PHY-0097915, and the DOE under contract DE-AC03-76SF00515. The work of M.S. was supported by the DOE under contract DE-FG03-92-ER40701. S.P.T. acknowledges support from the Swarnajayanti Fellowship, Department of Science and Technology, Government of India. The work of P.K.T. and S.P.T. was supported by the DAE. Most of all, P.K.T. and S.P.T. thank the people of India.

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