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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 studying… (More)

A bstractWe use the resolution procedure of Esole and Yau [1] to study Yukawa couplings, G-flux, and the emergence of spectral covers from elliptically fibered Calabi-Yau’s with a surface of A4… (More)

We give an analytic demonstration that the $3+1$-dimensional large $N$ $SU(N)$ pure Yang-Mills theory, compactified on a small ${S}^{3}$ so that the coupling constant at the compactification scale is… (More)

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 charges… (More)

In this paper we continue our study of the thermodynamics of large N gauge theories on compact spaces. We consider toroidal compactifications of pure SU(N) Yang-Mills theories and of maximally… (More)

We quantize the space of 1/2 BPS configurations of type-IIB SUGRA found by Lin, Lunin and Maldacena (hep-th/0409174), directly in supergravity. We use the Crnkovic-Witten-Zuckerman covariant… (More)

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 is… (More)

We give a direct path-integral calculation of the partition function for pure 3+1 dimensional U(N) Yang-Mills theory at large N on a small S{sup 3}, up to two loop order in perturbation theory. From… (More)

Abstract We study metastable nonsupersymmetric configurations in type IIA string theory, obtained by suspending D4-branes and D 4 ¯ -branes between holomorphically curved NS5's, which are related to… (More)