Families of N=2 Strings

Details Families of N=2 Strings Families of N=2 Strings

2002-11-15

arxiv.org/abs/hep-th/0211147v3

JHEP 0311:026,2003

Physics

High Energy Physics

High Energy Physics - Theory

66+1 pages, 2 tables, latex 2e, hyperref. ver2: typos corrected, reference added

Scientific paper

10.1088/1126-6708/2003/11/026

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 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 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 alpha and beta, 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 (R^4 and its toroidal compactifications) as well as some curved spaces. We briefly discuss the spectra of D-branes for both alpha and beta families.

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