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Black Holes, q-Deformed 2d Yang-Mills, and Non-perturbative Topological Strings
We count the number of bound states of BPS black holes on local Calabi-Yau three-folds involving a Riemann surface of genus g. We show that the corresponding gauge theory on the brane reduces to aExpand
Monodromies, Fluxes, and Compact Three-Generation F-theory GUTs
We analyze constraints for embedding local SU(5) F-theory GUTs into consistent compactifications and construct explicit three-generation models based on the geometry of [1]. The key tool for studyingExpand
Compact F-theory GUTs with U(1)PQ
We construct semi-local and global realizations of SU(5) GUTs in F-theory that utilize a U(1)PQ symmetry to protect against dimension four proton decay. Symmetries of this type, which assign chargesExpand
Instabilities in heterotic M-theory induced by open membrane instantons
Abstract We study the effective low energy supergravity of the strongly coupled heterotic string compactified on a Calabi–Yau 3-fold with generic E 8 × E 8 gauge bundle. We focus on the effectiveExpand
Chern–Simons–Rozansky–Witten topological field theory
We construct and study a new topological field theory in three dimensions. It is a hybrid between Chern–Simons and Rozansky–Witten theory and can be regarded as a topologically-twisted version of theExpand
Stringy instantons and quiver gauge theories
We explore contributions to the 4D effective superpotential which arise from Euclidean D3 branes (''instantons'') that intersect space-filling D-branes. These effects can perturb the effective fieldExpand
D-branes as defects in the Calabi-Yau crystal
We define the notion of A-model Lagrangian D-branes as introducing defects in the Calabi-Yau crystal. The crystal melting in the presence of these defects reproduces all genus string amplitudes asExpand
Branes, black holes and topological strings on toric Calabi-Yau manifolds
We develop means of computing exact degeneracies of BPS black holes on toric Calabi-Yau manifolds. We show that the gauge theory on the D4 branes wrapping ample divisors reduces to 2D q-deformedExpand
Topological boundary conditions in abelian Chern-Simons theory
We study topological boundary conditions in abelian Chern-Simons theory and line operators confined to such boundaries. From the mathematical point of view, their relationships are described by aExpand
F-theory Compactifications for Supersymmetric GUTs
We construct a family of elliptically fibered Calabi-Yau four-folds Y_4 for F-theory compactifications that realize SU(5) GUTs in the low-energy limit. The three-fold base X_3 of these fibrations isExpand