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A Mysterious Duality
Amer Iqbal, Andrew Neitzke, Cumrun Vafa
We establish a correspondence between toroidal compactifications of M-theory and del Pezzo surfaces. M-theory on T^k corresponds to P^2 blown up at k generic points; Type IIB corre…
tt* Geometry and Closed String Tachyon Potential
Atish Dabholkar, Cumrun Vafa
We propose a closed string tachyon action including kinetic and potential terms for non-supersymmetric orbifolds. The action is given in terms of solutions to equations whic…
Mirror Symmetry and Closed String Tachyon Condensation
Cumrun Vafa
We study closed string tachyon condensation using the RG flow of the worldsheet theory. In many cases the worldsheet theory enjoys N=2 supersymmetry, which provides analytic contro…
Manifolds, Mirror Symmetry and Geometric Engineering
Mina Aganagic, Cumrun Vafa
We construct Calabi-Yau geometries with wrapped D6 branes which realize supersymmetric quiver theories, and study the corresponding geometric transitions. This a…
Framed knots at large N
Marcos Marino, Cumrun Vafa
We study the framing dependence of the Wilson loop observable of U(N) Chern-Simons gauge theory at large N. Using proposed geometrical large N dual, this leads to a direct computat…
Mirror Symmetry and a Flop
Mina Aganagic, Cumrun Vafa
By applying mirror symmetry to D-branes in a Calabi-Yau geometry we shed light on a flop in M-theory relevant for large dualities in supersymmetric gauge the…