We study gravity duals of large N nonsupersymmetric gauge theories with matter in the fundamental representation by introducing a D7-brane probe into deformed AdS backgrounds. In particular, we consider both Schwarzschild black hole solution and background found Constable Myers, which involves nonconstant dilaton ${S}^{5}$ radius. Both these backgrounds exhibit confinement discrete glueball meson spectrum. numerically compute $\overline{\ensuremath{\Psi}}\ensuremath{\Psi}$ condensate...

We study four-dimensional superconformal field theories coupled to three-dimensional boundary or defect degrees of freedom. Starting with bulk $\mathcal{N}=2,$ $d=4$ theories, we construct Abelian models preserving $d=3$ supersymmetry and the conformal symmetries under which boundary/defect is invariant. write action, including terms, in superspace. Moreover derive Callan-Symanzik equations for these using their transformation properties show that beta functions vanish all orders...

The effect of non-commutativity on electromagnetic waves violates Lorentz invariance: in the presence a background magnetic induction field b, velocity for propagation transverse to b differs from c, while along is unchanged. In principle, this allows test by Michelson–Morley interference method. We also study another context, constructing theory describing charged fluid strong field, which forces particles into their lowest Landau level, and renders dynamics non-commutative, with Moyal...

We study a defect conformal field theory describing D3-branes intersecting over two space-time dimensions. This admits an exact Lagrangian description which includes both two- and four-dimensional degrees of freedom, has $(4,4)$ supersymmetry is invariant under global transformations. Both contributions to the action are conveniently obtained in two-dimensional $(2,2)$ superspace. In suitable limit, dual terms probe D3-brane wrapping...

We use AdS/CFT duality to study the thermodynamics of a strongly coupled N=2 supersymmetric large Nc SU(Nc) gauge theory with Nf =2 fundamental hypermultiplets. At finite temperature T and isospin chemical potential mu, on Higgs branch is generated, corresponding moduli space instantons in AdS description. For mu =0, there known first order phase transition around critical Tc. find that VEV suitable parameter for this transition; T>Tc, driven non-trivial point branch. non-zero T=0, unbounded...

Quantum field theories and Matrix models have a far richer solution set than is normally considered, due to the many boundary conditions which must be specify of Schwinger-Dyson equations. The complete solutions these equations obtained by generalizing path integral include sums over various inequivalent contours integration in complex plane. We discuss importance exotic solutions. While naively seem perverse, they are relevant study theta vacua critical phenomena. Furthermore, it can shown...

The Feynman Path Integral is extended in order to capture all solutions of a quantum field theory. This done via choice appropriate integration cycles, parametrized by M SL(2,C), i.e., the space allowed cycles related certain Dp-branes and their properties, which can be further understood terms "physical states" another We also look into representations Mellin-Barnes transform, bringing singularity structure theory foreground. implies that, as sum over paths, we should consider more generic...

We describe intersecting M5-branes, as well M5-branes wrapping the holomorphic curve $xy=c,$ in terms of a limit defect conformal field theory (dCFT) with two-dimensional (4,0) supersymmetry. This CFT describes low-energy D3-branes at ${C}^{2}/{Z}_{k}$ orbifold. In an appropriate $\stackrel{\ensuremath{\rightarrow}}{k}\ensuremath{\infty}$ limit, two compact spatial directions are generated. By identifying moduli M5-M5 intersection those CFT, we argue that ${\mathrm{SU}(2)}_{L}R$ symmetry...

Abstract We establish a holographic description of chiral symmetry breaking for particular confining large N non‐supersymmetric gauge theory with matter in the fundamental representation. The gravity dual this is obtained by introducing D7‐brane probe into deformed Anti‐de Sitter background found Constable and Myers. numerically compute $\bar\psi\psi$ condensate meson spectrum solving equation motion background. find as well associated, pion‐like, Goldstone boson limit small quark mass....

We discuss a new class of non-renormalization theorems in [Formula: see text] and Super-Yang-Mills theory, obtained by using superspace which makes lower dimensional subgroup the full supersymmetry manifest. Certain Wilson loops (and lines) belong to chiral ring algebra, their expectation values can be computed exactly.

Abstract We construct the AdS description of Higgs branch finite 𝒩 = 2 Sp ( N ) gauge theory with one antisymmetric hypermultiplet and four fundamental hypermultiplets. Holography, combined non‐renormalization metric on branch, leads to novel constraints unknown terms in non‐abelian Dirac‐Born‐Infeld action. These include non‐minimal couplings D‐branes bulk supergravity fields.