In order to understand both up-type and down-type Yukawa couplings, F-theory is a better framework than the perturbative Type IIB string theory. The duality between the Heterotic and F-theory is aâ€¦ (More)

We systematically analyze backgrounds that are holographic duals to non-relativistic CFTs, by constructing them as cosets of the SchrÃ¶dinger group and variants thereof. These cosets G/H areâ€¦ (More)

The number of BPS bound states of D-branes on a Calabi-Yau manifold depends on two sets of data, the BPS charges and the stability conditions. For D0 and D2-branes bound to a single D6-brane wrappingâ€¦ (More)

We show how the smooth geometry of Calabi-Yau manifolds emerges from the thermodynamic limit of the statistical mechanical model of crystal melting defined in our previous paper. In particular, theâ€¦ (More)

Four-dimensional asymptotically free large N gauge theories compactified on S(R)(3)Ã—R have a weakly coupled confining regime when R is small compared to the strong scale. We compute the vacuum energyâ€¦ (More)

We consider asymptotically-free four-dimensional large-N gauge theories with massive fermionic and bosonic adjoint matter fields, compactified on squashed threespheres, and examine their regularizedâ€¦ (More)

We propose a new Lagrangian describing N = 4 superconformal field theory in three dimensions. This theory describes interacting field theory on the worldvolume of a M2brane on an orbifold, and isâ€¦ (More)

We study the relation between exactly marginal deformations in a large class of N = 1 superconformal quiver gauge theories described by brane tilings and the degrees of freedom in the correspondingâ€¦ (More)

We review recent developments in the theory of brane tilings and four-dimensional N = 1 supersymmetric quiver gauge theories. This review consists of two parts. In part I, we describe foundations ofâ€¦ (More)

We construct a statistical model of crystal melting to count BPS bound states of D0 and D2 branes on a single D6 brane wrapping an arbitrary toric Calabi-Yau threefold. The three-dimensionalâ€¦ (More)