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On Orbifolds with Discrete Torsion
Cumrun Vafa, Edward Witten
We consider the interpretation in classical geometry of conformal field theories constructed from orbifolds with discrete torsion. In examples we can analyze, these spacetimes cont…
A Strong Coupling Test of S-Duality
Cumrun Vafa, Edward Witten
By studying the partition function of topologically twisted supersymmetric Yang-Mills on four-manifolds, we make an exact strong coupling test of the Montonen-Olive strong-we…
Superstrings and Manifolds of Exceptional Holonomy
S. L. Shatashvili, C. Vafa
The condition of having an spacetime supersymmetry for heterotic string leads to 4 distinct possibilities for compactifications namely compactifications down to 6,4,3 and 2 d…
N=4 Topological Strings
Nathan Berkovits, Cumrun Vafa
We show how to make a topological string theory starting from an superconformal theory. The critical dimension for this theory is (). It is shown that supers…
Mirror Transform and String Theory
Cumrun Vafa
Some aspects of Mirror symmetry are reviewed, with an emphasis on more recent results extending mirror transform to higher genus Riemann surfaces and its relation to the Kodaira-Sp…