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In a wide class of $G_L\times G_R$ invariant two-dimensional super-renormalizable field theories, the parity-odd part of the two-point function of global currents is completely determined by a fermion one-loop diagram. For any non-trivial…

High Energy Physics - Theory · Physics 2008-11-26 Hidenori Fukaya , Masashi Hayakawa , Issaku Kanamori , Hiroshi Suzuki , Tomohisa Takimi

The theta dependence of the vacuum energy in large N Yang-Mills theory has been studied some time ago by Witten using a duality of large N gauge theories with string theory compactified on a certain space-time. We show that within the field…

High Energy Physics - Theory · Physics 2014-11-18 Gregory Gabadadze

In this paper we construct a $(2,2)$ dimensional string theory with manifest $N=1$ spacetime supersymmetry. We use Berkovits' approach of augmenting the spacetime supercoordinates by the conjugate momenta for the fermionic variables. The…

High Energy Physics - Theory · Physics 2007-05-23 Z. Khviengia , H. Lu , C. N. Pope , E. Sezgin , X. J. Wang , K. W. Xu

We explore the phase structure of fermions in the U(N) Chern-Simons gauge theory in three dimensions using the large N limit where N is the number of colors and the fermions are taken to be in the fundamental representation of the U(N)…

High Energy Physics - Theory · Physics 2015-06-19 William A. Bardeen

We consider two dimensional QCD with the spatial dimension compactified to a circle. We show that the states in the theory consist of interacting strings that wind around the circle and derive the Hamiltonian for this theory in the large…

High Energy Physics - Theory · Physics 2009-10-22 Joseph A. Minahan , Alexios P. Polychronakos

Nonperturbative terms in the free energy of Chern-Simons gauge theory play a key role in its duality to the closed topological string. We show that these terms are reproduced by performing a double scaling limit near the point where the…

High Energy Physics - Theory · Physics 2010-12-03 Sumit R. Das , Cesar Gomez

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…

High Energy Physics - Theory · Physics 2009-10-31 F. Antonuccio , O. Lunin , S. Pinsky

We propose a large N dual of 4d, N=1 supersymmetric, SU(N) Yang-Mills with adjoint field \Phi and arbitrary superpotential W(\Phi). The field theory is geometrically engineered via D-branes partially wrapped over certain cycles of a…

High Energy Physics - Theory · Physics 2010-12-03 F. Cachazo , K. Intriligator , C. Vafa

Noncommutative \phi^3 field theory in six dimensions exhibits the logarithmic UV/IR mixing at the two-loop order. We show that open string theory in the presence of constant background NS-NS two-form field yields the same amplitude upon…

High Energy Physics - Theory · Physics 2008-11-26 Youngjai Kiem , Sangmin Lee , Jaemo Park

The response of isodoublet fermions to classical backgrounds of essentially 2-dimensional boson fields in SU(2) Yang-Mills-Higgs theory is investigated. In particular, the spectral flow of Dirac eigenvalues is calculated for a…

High Energy Physics - Theory · Physics 2009-10-30 F. R. Klinkhamer , C. Rupp

Two dimensional SU(N) Yang-Mills theory is known to be equivalent to a string theory, as found by Gross in the large N limit, using the 1/N expansion. Later it was found that even a generalized YM theory leads to a string theory of the…

High Energy Physics - Theory · Physics 2009-11-07 Florian Dubath , Simone Lelli , Anna Rissone

We compute and analyse the low-lying spectrum of 2+1 dimensional $SU(N)$ Yang-Mills theory on a spatial torus of size $l\times l$ with twisted boundary conditions. This paper extends our previous work \cite{Perez:2013dra}. In that paper we…

High Energy Physics - Theory · Physics 2018-08-08 Margarita García Pérez , Antonio González-Arroyo , Mateusz Koren , Masanori Okawa

We develop a method based on the generalised St\"uckelberg prescription for discussing bosonisation in the low energy regime of the SU(2) massive Thirring model in 2+1 dimensions. For arbitrary values of the coupling parameter the bosonised…

High Energy Physics - Theory · Physics 2015-06-26 N. Banerjee , R. Banerjee , S. Ghosh

A system of gravity coupled to a 2-form gauge field, a dilaton and Yang-Mills fields in $2n$ dimensions arises from the (2,1) sigma model or string. The field equations imply that the curvature with torsion and Yang-Mills field strength are…

High Energy Physics - Theory · Physics 2009-10-30 M. Abou Zeid , C. M. Hull

Redefining the vacuum state of a free two-fold $N=1$ covariant supersymmetric string action as the one with all the excited states of world-sheet fermions occupied, makes the theory anomaly free in (3+1)+4 dimensions. While in the $NS$…

High Energy Physics - Theory · Physics 2022-03-23 J. S. Bhattacharyya

The free energy in the weak-coupling phase of two-dimensional Yang-Mills theory on a sphere for SO(N) and Sp(N) is evaluated in the 1/N expansion using the techniques of Gross and Matytsin. Many features of Yang-Mills theory are universal…

High Energy Physics - Theory · Physics 2009-10-30 M. Crescimanno , S. G. Naculich , H. J. Schnitzer

We show that topological strings on a class of non-compact Calabi-Yau threefolds is equivalent to two dimensional bosonic U(N) Yang-Mills on a torus. We explain this correspondence using the recent results on the equivalence of the…

High Energy Physics - Theory · Physics 2007-05-23 Cumrun Vafa

We quantize pure 2d Yang-Mills theory on an arbitrary Riemann surface in the gauge where the field strength is diagonal. Twisted sectors originate, as in Matrix string theory, from permutations of the eigenvalues around homotopically…

High Energy Physics - Theory · Physics 2009-10-31 M. Billo' , A D'Adda , P. Provero

A central problem in quantum condensed matter physics is the critical theory governing the zero temperature quantum phase transition between strongly renormalized Fermi-liquids as found in heavy fermion intermetallics and possibly high Tc…

High Energy Physics - Theory · Physics 2010-04-23 Mihailo Cubrovic , Jan Zaanen , Koenraad Schalm

We study non-perturbative aspects of the Hagedorn transition for IIB string theory in an anti-de Sitter spacetime in the limit that the string length goes to infinity. The theory has a holographic dual in terms of free $\NN=4$…

High Energy Physics - Theory · Physics 2007-05-23 Hong Liu
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