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Perturbative Analysis of Gauged Matrix Models
Robbert Dijkgraaf, Sergei Gukov, Vladimir A. Kazakov +1
We analyze perturbative aspects of gauged matrix models, including those where classically the gauge symmetry is partially broken. Ghost fields play a crucial role in the Feynman r…
Conifold Transitions and Five-Brane Condensation in M-Theory on Spin(7) Manifolds
Sergei Gukov, James Sparks, David Tong
We conjecture a topology changing transition in M-theory on a non-compact asymptotically conical Spin(7) manifold, where a 5-sphere collapses and a CP(2) bolt grows. We argue that…
IIA String Theory on Calabi-Yau Fourfolds with Background Fluxes
Sergei Gukov, Michael Haack
Looking for string vacua with fixed moduli, we study compactifications of type IIA string theory on Calabi-Yau fourfolds in the presence of generic Ramond-Ramond fields. We explici…
Duality and Fibrations on G_2 Manifolds
Sergei Gukov, Shing-Tung Yau, Eric Zaslow
We argue that G_2 manifolds for M-theory admitting string theory Calabi-Yau duals are fibered by coassociative submanifolds. Dual theories are constructed using the moduli space of…
Rational Conformal Field Theories and Complex Multiplication
Sergei Gukov, Cumrun Vafa
We study the geometric interpretation of two dimensional rational conformal field theories, corresponding to sigma models on Calabi-Yau manifolds. We perform a detailed study of RC…
D-Brane Probes of Special Holonomy Manifolds
Sergei Gukov, David Tong
Using D2-brane probes, we study various properties of M-theory on singular, non-compact manifolds of G_2 and Spin(7) holonomy. We derive mirror pairs of N=1 supersymmetric three-di…