We study 0-branes in type IIA on T 2 with a background B-field turned on. This enables us to find the matrix model for M-theory on T 2 with a background 3-form potential along the torus and the lightlike circle. The theory is a non-local 2+1 dim SYM theory on a dual T 2 exactly as proposed by Connes,Douglas and Hull. We calculate the radii and the gauge coupling for the SYM on the dual T 2 for ...

Let P be a convex and dominated statistical model on the measurable space (X ,A), with A minimal sufficient, and let n ∈ N. Then A⊗n sym, the σ-algebra of all permutation invariant sets belonging to the n-fold product σ-algebra A⊗n, is shown to be minimal sufficient for the corresponding model for n independent observations, Pn = {P⊗n : P ∈ P}. The main technical tool provided and used is a fun...

We compute the one-loop holomorphic effective action of the massless Cartan sector of N = 2 SYM theory in the Coulomb branch, taking into account the contributions both from the charged hypermultiplets and off-diagonal components of the gauge superfield. We use the manifestly supersymmetric harmonic superfields diagram techniques adapted to N = 2 supersymmetry with the central charges induced b...

We discuss a nonperturbative relation for orientifold parent/daughter pairs of supersymmetric theories with an arbitrary tree-level superpotential. We show that super-Yang-Mills (SYM) theory with matter in the adjoint representation at N → ∞, is equivalent to a SYM theory with matter in the antisymmetric representation and a related superpotential. The gauge symmetry breaking patterns match in ...

Let P be a convex and dominated statistical model on the measurable space (X ; A), with A minimal suucient, and let n 2 N. Then A n sym , the-algebra of all permutation invariant sets belonging to the n-fold product-algebra A n , is shown to be minimal suucient for the corresponding model for n independent observations, P n = fP n : P 2 Pg. The main technical tool provided and used is a functio...

Abstract Let $f$ f be a cuspidal Hecke eigenform of level 1. We prove the automorphy symmetric power lifting $\operatorname{Sym}^{n} f$ Sym n for every $n \geq 1$ ≥ 1 . establish same result more general class eigenform...

In this paper we investigate algebraic and topological properties of McAlister semigroups. We show that for a non-zero cardinal ? the group automorphisms semigroup M? is isomorphic to direct product Sym(?)×Z2, where Sym(?) permutations ?. semigroups admit unique compact Hausdorff topology. Each element semitopological isolated. It follows free inverse over singleton admits only discrete shift-c...

In this note we construct the N=1 SYM Action from the cohomology of SlavnovTaylor operator. e-mail: [email protected]

In this short note we show how to obtain Lagrangian integrators from known sym-plectic partitioned Runge-Kutta methods.

We offer a novel perspective on ${\cal N}=4$ supersymmetric Yang-Mills (SYM) theory through the framework of Nicolai map, transformation bosonic fields that allows one to compute quantum correlators in terms free, purely functional measure. Generally, any map is obtained path-ordered exponential so-called coupling flow operator. The latter can be canonically constructed gauge using an N}=1$ off...