Superconformal index of ${ \mathcal N }=3$ orientifold theories

Index for Non-relativistic Superconformal Field Theories

We study the highest-weight representation ofN = 2 supersymmetric Schrödinger algebra which appears in non-relativistic superconformal field theories in (1+2) dimension. We define the index for the non-relativistic superconformal field theories and study its properties. As a concrete example, we compute the index for the nonrelativistic limit of N = 6 superconformal Chern-Simons-matter theory r...

Exact Results in Non-Supersymmetric Large N Orientifold Field Theories

We consider non-supersymmetric large N orientifold field theories. Specifically, we discuss a gauge theory with a Dirac fermion in the anti-symmetric tensor representation. We argue that, at large N and in a large part of its bosonic sector, this theory is non-perturbatively equivalent to N = 1 SYM, so that exact results established in the latter (parent) theory also hold in the daughter orient...

Generalized Superconformal Index for Three Dimensional Field Theories

An Index for Non-relativistic Superconformal Field Theories

We study the highest-weight representation ofN = 2 supersymmetric Schrödinger algebra which appears in non-relativistic superconformal field theories in (1+2) dimension. We define the index for the non-relativistic superconformal field theories and study its properties. As a concrete example, we compute the index for the nonrelativistic limit of N = 6 superconformal Chern-Simons-matter theory r...

Effective Lagrangians for Orientifold Theories

We construct effective Lagrangians of the Veneziano-Yankielowicz (VY) type for two non-supersymmetric theories which are orientifold daughters of supersymmetric gluodynamics (containing one Dirac fermion in the two-index antisymmetric or symmetric representation of the gauge group). Since the parent and daughter theories are planar equivalent, at N → ∞ the effective Lagrangians in the orientifo...