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The large-N behavior of Yang-Mills and generalized Yang-Mills theories in the double-scaling limit is investigated. By the double-scaling limit, it is meant that the area of the manifold on which the theory is defined, is itself a function…

High Energy Physics - Theory · Physics 2009-01-07 M. Alimohammadi , M. Khorrami

We show that B-model topological strings on local Calabi-Yau threefolds are large N duals of matrix models, which in the planar limit naturally give rise to special geometry. These matrix models directly compute F-terms in an associated N=1…

High Energy Physics - Theory · Physics 2010-04-05 Robbert Dijkgraaf , Cumrun Vafa

We generalize the Gervais-Neveu gauge to four-dimensional N=1 superspace. The model describes an N=2 super Yang-Mills theory. All chiral superfields (N=2 matter and ghost multiplets) exactly cancel to all loops. The remaining hermitian…

High Energy Physics - Theory · Physics 2013-09-26 W. Siegel

Doubling a Yang-Mills field we apply the pattern which has been found to construct a "duality-symmetric" gravity with matter to the "duality-symmetric" Yang - Mills theory in five space-time dimensions. Constructing the action we conclude…

High Energy Physics - Theory · Physics 2007-05-23 Alexei J. Nurmagambetov

I review the properties of a matrix action of relevance for IIB superstrings. This model generalizes the action proposed by Ishibashi, Kawai, Kitazawa, and Tsuchiya by introducing an auxillary field Y, which is the matrix version of the…

High Energy Physics - Theory · Physics 2009-09-25 P. Olesen

We study the zero-dimensional reduced model of D=6 pure super Yang-Mills theory and argue that the large N limit describes the (2,0) Little String Theory. The one-loop effective action shows that the force exerted between two diagonal…

High Energy Physics - Theory · Physics 2008-11-26 Yoshihisa Kitazawa , Shun'ya Mizoguchi , Osamu Saito

We describe a simple method for determining the strong-coupling BPS spectrum of four dimensional N=2 supersymmetric Yang-Mills theory. The idea is to represent the magnetic monopoles and dyons in terms of D-brane boundary states of a…

High Energy Physics - Theory · Physics 2007-05-23 W. Lerche

We consider the Super Yang--Mills/spin system map to construct the SU(2) spin bit model at the level of two loops in Yang--Mills perturbation theory. The model describes a spin system with chaining interaction. In the large $N$ limit the…

High Energy Physics - Theory · Physics 2009-11-10 S. Bellucci , P. -Y. Casteill , A. Marrani , C. Sochichiu

It has not been clarified whether a matrix model can describe various vacua of string theory. In this paper, we show that the IIB matrix model includes type IIA string theory. In the naive large N limit of the IIB matrix model,…

High Energy Physics - Theory · Physics 2008-11-26 Hikaru Kawai , Matsuo Sato

The Lorentzian type IIB matrix model is a promising candidate for a non-perturbative formulation of superstring theory. However, it was recently found that a Euclidean space-time appears in the conventional large-$N$ limit. In this work, we…

We describe and solve a double scaling limit of large N Yang-Mills theory on a two-dimensional torus. We find the exact strong-coupling expansion in this limit and describe its relation to the conventional Gross-Taylor series. The limit…

High Energy Physics - Theory · Physics 2009-11-10 L. Griguolo , D. Seminara , R. J. Szabo

We construct the matrix description for a twisted version of the IIA string theory on S^1 with fermions antiperiodic around a spatial circle. The result is a 2+1-dimensional U(N) x U(N) nonsupersymmetric Yang-Mills theory with fermionic…

High Energy Physics - Theory · Physics 2009-10-31 Tom Banks , Lubos Motl

We review the spin bit model describing anomalous dimensions of the operators of Super Yang--Mills theory. We concentrate here on the scalar sector. In the limit of large $N$ this model coincides with integrable spin chain while at finite N…

High Energy Physics - Theory · Physics 2007-05-23 S. Bellucci , P. Y. Casteill , J. F. Morales , C. Sochichiu

The spectrum of quenched Yang-Mills theory in the large-N limit displays strings and higher dimensional extended objects. The effective dynamics of string-like excitations is encoded into area preserving Schild action. In this letter, we…

High Energy Physics - Theory · Physics 2010-04-06 S. Ansoldi , C. Castro , E. I. Guendelman , E. Spallucci

We show that twisted reduced models can be interpreted as noncommutative Yang-Mills theory. Based upon this correspondence, we obtain noncommutative Yang-Mills theory with D-brane backgrounds in IIB matrix model. We propose that IIB matrix…

High Energy Physics - Theory · Physics 2009-10-31 H. Aoki , N. Ishibashi , S. Iso , H. Kawai , Y. Kitazawa , T. Tada

We consider the matrix model approach to the anomalous dimension matrix in $\mathcal{N}=4$ super Yang--Mills theory. We construct the path integral representation for the anomalous dimension density matrix and analyze the resulting action.…

High Energy Physics - Theory · Physics 2009-11-10 Stefano Bellucci , Corneliu Sochichiu

We examine the Seiberg-Witten treatment of N=2 super Yang-Mills theory, and note that in the strong coupling region of moduli space, some massive particle excitations appear to have negative norm. We discuss the significance of our…

High Energy Physics - Theory · Physics 2009-10-28 Ulf Lindstrom , Martin Rocek

We derive the worldsheet propagator for an open string with different magnetic fields at the two ends, and use it to compute two distinct noncommutativity parameters, one at each end of the string. The usual scaling limit that leads to…

High Energy Physics - Theory · Physics 2010-11-15 Louise Dolan , Chiara R. Nappi

The metric of a spacetime with a parallel plane (pp)-wave can be obtained in a certain limit of the space AdS^5xS^5. According to the AdS/CFT correspondence, the holographic dual of superstring theory on that background should be the…

High Energy Physics - Theory · Physics 2010-04-05 C. Kristjansen , J. Plefka , G. W. Semenoff , M. Staudacher

The Lorentzian type IIB matrix model is a promising candidate for a non-perturbative formulation of superstring theory. However, it was found recently that a Euclidean space-time appears in the conventional large-$N$ limit. In this work, we…