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Knot Invariants and Topological Strings
Hirosi Ooguri, Cumrun Vafa
We find further evidence for the conjecture relating large N Chern-Simons theory on S^3 with topological string on the resolved conifold geometry by showing that the Wilson loop ob…
BPS Structure of Argyres-Douglas Superconformal Theories
Alfred D. Shapere, Cumrun Vafa
We study geometric engineering of Argyres-Douglas superconformal theories realized by type IIB strings propagating in singular Calabi-Yau threefolds. We use this construction to co…
M-Theory, Topological Strings and Spinning Black Holes
Sheldon Katz, Albrecht Klemm, Cumrun Vafa
We consider M-theory compactification on Calabi-Yau threefolds. The recently discovered connection between the BPS states of wrapped M2 branes and the topological string amplitudes…
CFT's From Calabi-Yau Four-folds
S. Gukov, C. Vafa, E. Witten
We consider F/M/Type IIA theory compactified to four, three, or two dimensions on a Calabi-Yau four-fold, and study the behavior near an isolated singularity in the presence of app…
Conformal Field Theory of AdS Background with Ramond-Ramond Flux
N. Berkovits, C. Vafa, E. Witten
We review a formalism of superstring quantization with manifest six-dimensional spacetime supersymmetry, and apply it to AdS_3 x S^3 backgrounds with Ramond-Ramond flux. The result…