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We present the hyper-elliptic curve describing the moduli space of the N=2 supersymmetric Yang-Mills theory with the $G_2$ gauge group. The exact monodromies and the dyon spectrum of the theory are determined. It is verified that the…

High Energy Physics - Theory · Physics 2011-09-23 M. Alishahiha , F. Ardalan , F. Mansouri

We study the large N reduced model of D-dimensional Yang-Mills theory with special attention to the dynamical aspects related to the eigenvalues of the NxN matrices, which correspond to the space-time coordinates in the IIB matrix model. We…

High Energy Physics - Lattice · Physics 2009-10-31 T. Hotta , J. Nishimura , A. Tsuchiya

Supersymmetric integrands for the two-loop five-point amplitudes in ten-dimensional super Yang--Mills and type II supergravity are proposed. The kinematic numerators are manifestly local and satisfy the duality between color and kinematics…

High Energy Physics - Theory · Physics 2015-11-05 Carlos R. Mafra , Oliver Schlotterer

We study ${\cal N}=4$ super Yang-Mills theory compactified on a circle at zero temperature, with VEVs for two scalar bilinears and three independent current sources. We show that type IIB supergravity provides a complete holographic…

High Energy Physics - Theory · Physics 2026-03-20 Andrés Anabalón , Horatiu Nastase , Carlos Nunez , Marcelo Oyarzo , Ricardo Stuardo

The large-N limit of the two-dimensional U$(N)$ Yang-Mills theory on an arbitrary orientable compact surface with boundaries is studied. It is shown that if the holonomies of the gauge field on boundaries are near the identity, then the…

High Energy Physics - Theory · Physics 2007-05-23 M. Alimohammadi , M. Khorrami

We examine the two-dimensional U(N) Yang-Mills theory by using the technique of random partitions. We show that the large N limit of the partition function of the 2D Yang-Mills theory on S^2 reproduces the instanton counting of 4D N=2…

High Energy Physics - Theory · Physics 2008-11-26 Toshihiro Matsuo , So Matsuura , Kazutoshi Ohta

Via compactification on a circle, the matrix model of M-theory proposed by Banks et al suggests a concrete identification between the large N limit of two-dimensional N=8 supersymmetric Yang-Mills theory and type IIA string theory. In this…

High Energy Physics - Theory · Physics 2010-11-19 R. Dijkgraaf , E. Verlinde , H. Verlinde

We combine supersymmetric localization with the numerical conformal bootstrap to bound the scaling dimension and OPE coefficient of the lowest-dimension operator in $\mathcal{N} = 4$ $\text{SU}(N)$ super-Yang-Mills theory for a wide range…

High Energy Physics - Theory · Physics 2023-12-21 Shai M. Chester , Ross Dempsey , Silviu S. Pufu

We calculate an effective action and measure induced by the integration over the auxiliary field in the matrix model recently proposed to describe IIB superstrings. It is shown that the measure of integration over the auxiliary matrix is…

High Energy Physics - Theory · Physics 2009-10-30 L. Chekhov , K. Zarembo

We describe the magnetic phase of SU(N) $\mathcal{N}=2$ Super Yang-Mills theories in the self-dual Omega background in terms of a new class of multi-cut matrix models. These arise from a non-perturbative completion of topological strings in…

High Energy Physics - Theory · Physics 2017-06-08 Giulio Bonelli , Alba Grassi , Alessandro Tanzini

We study the 2D Ising model in a complex magnetic field in the vicinity of the Yang-Lee edge singularity. By using Baxter's variational corner transfer matrix method combined with analytic techniques, we numerically calculate the scaling…

High Energy Physics - Theory · Physics 2024-01-03 Vladimir V. Mangazeev , Bryte Hagan , Vladimir V. Bazhanov

Recently, the author has constructed a series of four dimensional non-critical string theories with eight supercharges, dual to theories of light electric and magnetic charges, for which exact formulas for the central charge of the…

High Energy Physics - Theory · Physics 2014-11-18 Frank Ferrari

We study the large N reduced model of D-dimensional Yang-Mills theory with special attention to dynamical aspects related to the eigenvalues of the N by N matrices, which correspond to the space-time coordinates in the IIB matrix model. We…

High Energy Physics - Theory · Physics 2009-10-31 Tomohiro Hotta , Jun Nishimura , Asato Tsuchiya

We study the supergravity dual of four-dimensional ${\mathcal{N}=1}$ superconformal field theories arising from wrapping M5-branes on a K\"ahler two-cycle inside a Calabi-Yau threefold. We derive an effective three-dimensional theory living…

High Energy Physics - Theory · Physics 2020-02-10 Martin Fluder

We propose a unitary matrix formulation of type IIB matrix model. One-loop effective action of the model exhibits supersymmetry for BPS background in the large N limit.

High Energy Physics - Theory · Physics 2009-10-31 Tsukasa Tada , Asato Tsuchiya

We show how BPS states of supersymmetric SU(2) Yang-Mills with matter -both massless and massive- are described as self-dual strings on a Riemann surface. This connection enables us to prove the stability and the strong coupling behaviour…

High Energy Physics - Theory · Physics 2016-09-06 A. Brandhuber , S. Stieberger

Considering a class of (2,0)-super-Yang-Mills multiplets that accommodate a pair of independent gauge potentials in connection with a single symmetry group, we present here their coupling to ordinary matter and to non-linear $\sigma$-models…

High Energy Physics - Theory · Physics 2015-06-26 M. S. Goes-Negrao , M. R. Negrao , A. B. Penna-Firme

We introduce a nonperturbative approach to correlation functions of two determinant operators and one non-protected single-trace operator in planar N=4 supersymmetric Yang-Mills theory. Based on the gauge/string duality, we propose that…

High Energy Physics - Theory · Physics 2019-11-13 Yunfeng Jiang , Shota Komatsu , Edoardo Vescovi

It is known for ten years that self-dual Yang-Mills theory is the effective field theory of the open N=2 string in 2+2 dimensional spacetime. We uncover an infinite set of abelian rigid string symmetries, corresponding to the symmetries and…

High Energy Physics - Theory · Physics 2015-06-25 Tatiana A. Ivanova , Olaf Lechtenfeld

We simulate a supersymmetric matrix model obtained from dimensional reduction of 4d SU(N) super Yang-Mills theory. The model is well defined for finite N and it is found that the large N limit obtained by keeping g^2 N fixed gives rise to…

High Energy Physics - Theory · Physics 2007-05-23 J. Ambjorn , K. N. Anagnostopoulos , W. Bietenholz , T. Hotta , J. Nishimura