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Families of N = 2 strings

Cheung, Yeuk-Kwan E. and Oz, Yaron and Yin, Zheng (2003) Families of N = 2 strings. Journal of High Energy Physics, 2003 (11). Art. No. 026. ISSN 1126-6708. doi:10.1088/1126-6708/2003/11/026.

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In a given 4d spacetime bakcground, one can often construct not one but a family of distinct N = 2 string theories. This is due to the multiple ways an N = 2 superconformal algebra can be embedded in a given worldsheet theory. We formulate the principle of obtaining different physical theories by gauging different embeddings of the same symmetry algebra in the same "pre-theory." We then apply it to the N = 2 strings and formulate the recipe for finding the associated parameter spaces of gauging. Flat and curved target spaces of both (4,0) and (2,2) signatures are considered. We broadly divide the gauging choices into two classes, denoted by α and β, and show them to be related by T-duality. The distinction between them is formulated topologically and hinges on some unique properties of 4d manifolds. We determine what their parameter spaces of gauging are under certain simplicity ansatz for generic flat spaces (4 and its toroidal compactifications) as well as some curved spaces. We briefly discuss the spectra of D-branes for both α and β families.

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Additional Information:© SISSA/ISAS 2003. Received 2 December 2002, accepted for publication 11 November 2003. Published 10 December 2003. E.C. would like to thank A. Brandhuber, A. Kapustin, C. Vafa, and J. Schwarz for discussion; and Perimeter Institute, Institute for Advanced Studies, and CERN, where parts of the work were done, for hospitality. Z.Y. would like to thank C. Hull for discussion and references, E. Martinec for discussion, L. Alvarez-Gaume, J. Barbon, W. Lerche for comments, H. Ooguri for originally getting him interested in the subject of N = 2 strings, and Isaac Newton Institute for Mathematical Sciences for hospitality. EC is supported by John A. McCone Foundation and by Department of Energy grant DE-FG03-92-ER40701. The research of YO is supported by the US-Israel Binational Science Foundation. E-print number: hep-th/0211147
Subject Keywords:sigma models; superstrings and heterotic strings; differential and algebraic geometry
Issue or Number:11
Record Number:CaltechAUTHORS:CHEUjhep03
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Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:4183
Deposited By: Tony Diaz
Deposited On:07 Aug 2006
Last Modified:08 Nov 2021 20:15

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