503 citations · 1.5k across the 12 of their papers we have counts for
7 papers · 1 filter
M-Theory and Topological Strings--II
Rajesh Gopakumar, Cumrun Vafa
It is shown how the topological string amplitudes encode the BPS structure of wrapped M2 branes in M-theory compactification on Calabi-Yau threefolds. This in turn is related to a…
On the Gauge Theory/Geometry Correspondence
Rajesh Gopakumar, Cumrun Vafa
The 't Hooft expansion of SU(N) Chern-Simons theory on is proposed to be exactly dual to the topological closed string theory on the blow up of the conifold geometry. T…
Geometric Physics
Cumrun Vafa
Talk given at ICM '98, Berlin, reviewing some of the recent developments in understanding of string theory for a mathematical audience (to appear in Documenta Mathematica).
M-Theory and Topological Strings--I
Rajesh Gopakumar, Cumrun Vafa
The terms of Type IIA strings on Calabi-Yau 3-folds, which are given by the corresponding topological string amplitudes (a worldsheet instanton sum for all genera),…
Minimal Cycles, Black Holes and QFT's
Cumrun Vafa
We review some aspects of minimal cycles in string compactifications and their role in constructing new critical theories in six and lower dimensions as well as in accounting for b…
Extending Mirror Conjecture to Calabi-Yau with Bundles
Cumrun Vafa
We define the notion of mirror of a Calabi-Yau manifold with a stable bundle in the context of type II strings in terms of supersymmetric cycles on the mirror. This allows us to re…