Francesco Antonuccio

DLCQ bound states of N = ( 2 , 2 ) super-Yang-Mills theory at finite and large N

We consider the 1+1 dimensional N = (2,2) supersymmetric matrix model which is obtained by dimensionally reducing N = 1 super Yang-Mills from four to two dimensions. The gauge groups we consider are U(Nc) and SU(Nc), where Nc is finite but arbitrary. We adopt light-cone coordinates, and choose to work in the light-cone gauge. Quantizing this theory via Discretized Light-Cone Quantization (DLCQ) introduces an integer, K, which restricts the light-cone momentum-fraction of constituent quanta to be integer multiples of 1/K. Solutions to the DLCQ bound state equations are obtained for K=2,3,...,6 by discretizing the light-cone supercharges, which results in a supersymmetric spectrum. Our numerical results imply the existence of normalizable massless states in the continuum limit K ->infinity, and therefore the absence of a mass gap. The low energy spectrum is dominated by string-like (or many parton) states. Our results are consistent with the claim that the theory is in a screening phase.

DLCQ spectrum ofN=(8,8)super Yang-Mills theory

We consider the 1+1 dimensional N = (8,8) supersymmetric matrix field theory obtained from a dimensional reduction of ten dimensional N = 1 super Yang-Mills. The gauge groups we consider are U(N) and SU(N), where N is finite but arbitrary. We adopt light-cone coordinates, and choose to work in the light-cone gauge. Quantizing this theory via Discretized Light-Cone Quantization (DLCQ) introduces an integer, K, which restricts the light-cone momentum-fraction of constituent quanta to be integer multiples of 1/K. Solutions to the DLCQ bound state equations are obtained for K=2,3 and 4 by discretizing the light-cone super charges, which preserves supersymmetry manifestly. We discuss degeneracies in the massive spectrum that appear to be independent of the light-cone compactification, and are therefore expected to be present in the decompactified limit K ->infinity. Our numerical results also support the claim that the SU(N) theory has a mass gap.

Nonperturbative spectrum of two-dimensional (1,1) super-Yang-Mills theory at finite and largeN

We consider the dimensional reduction of N = 1 SYM_{2+1} to 1+1 dimensions, which has (1,1) supersymmetry. The gauge groups we consider are U(N) and SU(N), where N is a finite variable. We implement Discrete Light-Cone Quantization to determine non-perturbatively the bound states in this theory. A careful analysis of the spectrum is performed at various values of N, including the case where N is large (but finite), allowing a precise measurement of the 1/N effects in the quantum theory. The low energy sector of the theory is shown to be dominated by string-like states. The techniques developed here may be applied to any two dimensional field theory with or without supersymmetry.

Bound states of dimensionally reduced SYM2+1 at finite N

Abstract We consider the dimensional reduction of N =1 SYM 2+1 to 1+1 dimensions. The gauge groups we consider are U( N ) and SU( N ), where N is finite. We formulate the continuum bound state problem in the light-cone formalism, and show that any normalizable SU( N ) bound state must be a superposition of an infinite number of Fock states. We also discuss how massless states arise in the DLCQ formulation for certain discretizations.

Super Yang-Mills theory at weak, intermediate, and strong coupling

We consider three dimensional

Matrix theories from reduced SU(N) Yang-Mills with adjoint fermions

\mathrm{SU}(N) \mathcal{N}=1

On the transition from confinement to screening in QCD1+1 coupled to adjoint fermions at finite N

super-Yang-Mills theory compactified on the space-time

Decoupling of zero modes and covariance in the light-front formulation of supersymmetric theories

\mathbf{R}\ifmmode\times\else\texttimes\fi{}{S}^{1}\ifmmode\times\else\texttimes\fi{}{S}^{1}

A Comment on the Light-Cone Vacuum in 1+1 Dimensional Super-Yang–Mills Theory

. In particular, we compactify the light-cone coordinate

Can DLCQ test the Maldacena conjecture

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