We will demonstrate how calculations in toric geometry can be used to compute quantum
corrections to the relations in the chiral ring for certain gauge theories. We focus on the …

This review describes the conformality approach to extending the standard model of particle
phenomenology using an assumption of no conformal anomaly at high energy. Topics …

We construct Script N= 1 non-critical strings in four dimensions dual to strongly coupled
Script N= 1 quiver gauge theories in the Coulomb phase, generalizing the string duals of …

Many heterotic orbifold models have massless twisted-sector particles with simultaneous
E8_1 and E8_2 charges. In the strong-coupling M-theory dual of the heterotic string this …

We deconstruct the fifth dimension of 5D SCQD with general numbers of colors and flavors
and general 5D Chern-Simons level; the latter is adjusted by adding extra quarks to the 4D …

We build a matrix model of a chiral [SU (N)] K gauge theory (SQCD 5 deconstructed down to
4D) using random unitary matrices to model chiral bifundamental fields (N, bar N)(without …

Generalized Konishi anomaly relations in the chiral ring of N= 1 supersymmetric gauge
theories with unitary gauge group and chiral matter field in two-index tensor representations …

The compactification of E8 X E8 heterotic string theory on orbifolds of the form T6= ZN
produces a 4D spectrum of untwisted states and twisted states. Unlike the untwisted states …

We will derive and analyse a number of D-brane based quiver gauge theories with
interesting properties. Some of them are supersymmetric, but have long lived meta-stable …