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The integrable model corresponding to the ${\cal N}=2$ supersymmetric SU(N) gauge theory with matter in the symmetric representation is constructed. It is a spin chain model, whose key feature is a new twisted monodromy condition.

High Energy Physics - Theory · Physics 2007-12-23 I. M. Krichever , D. H. Phong

Duality symmetries of supergravity theories are powerful tools to restrict the number of possible actions, to link different dimensions and number of supersymmetries and might help to control quantisation. (Hodge-Dirac-)Dualisation of gauge…

High Energy Physics - Theory · Physics 2007-05-23 B. L. Julia

We study the global symmetries of SU(2) gauge theory with N flavors of staggered fermions in the presence of a chemical potential. We motivate the special interest of the case N=1 (staggered) with fermions in the adjoint representation of…

High Energy Physics - Lattice · Physics 2009-10-31 Simon Hands , Istvan Montvay , Manfred Oevers , Luigi Scorzato , Jonivar Skullerud

For a $(2+1)$-dimensional reformulated SU(2) Yang-Mills theory, we compute the interaction potential within the framework of the gauge-invariant but path-dependent variables formalism. This reformulation is due to the presence of a constant…

High Energy Physics - Theory · Physics 2008-11-26 Patricio Gaete , Eduardo Guendelman , Euro Spallucci

We investigate the gauging of the Wess-Zumino term of a sigma model with boundary. We derive a set of obstructions to gauging and we interpret them as the conditions for the Wess-Zumino term to extend to a closed form in a suitable…

High Energy Physics - Theory · Physics 2009-11-11 José Figueroa-O'Farrill , Noureddine Mohammedi

We revisit the study of the maximally singular point in the Coulomb branch of 4d N=2 SU(N) gauge theory with N_f=2n flavors for N_f<2N. When n >= 2, we find that the low-energy physics is described by two non-trivial superconformal field…

High Energy Physics - Theory · Physics 2011-01-27 Davide Gaiotto , Nathan Seiberg , Yuji Tachikawa

Evidence in favor of $SL(2,Z)$ S-duality in $N=4$ supersymmetric Yang-Mills theories in four dimensions and with general compact, simple gauge groups is presented. (Contribution to the Proceedings of the Strings '95 conference, March 13-18,…

High Energy Physics - Theory · Physics 2009-10-28 L. Girardello , A. Giveon , M. Porrati , A. Zaffaroni

There are many physically interesting superconformal gauge theories in four dimensions. In this talk I discuss a common phenomenon in these theories: the existence of continuous families of infrared fixed points. Well-known examples include…

High Energy Physics - Theory · Physics 2011-04-15 Matthew J. Strassler

We examine the low energy structure of N=1 supersymmetric SO(10) gauge theory with matter chiral superfields in N_Q spinor and N_f vector representations. We construct a dual to this model based upon an SU(N_f+2N_Q-7) x Sp(2N_Q-2) gauge…

High Energy Physics - Theory · Physics 2009-10-30 Micha Berkooz , Peter Cho , Per Kraus , Matthew J. Strassler

We consider N = 2 superconformal field theory with following properties: a) Coulomb branch operators have fractional scaling dimensions, b) there are exact marginal deformations . The weakly coupled gauge theory descriptions are found by…

High Energy Physics - Theory · Physics 2016-02-12 Dan Xie , Shing-Tung Yau

We compute glueball superpotentials for four-dimensional, N=1 supersymmetric gauge theories, with arbitrary gauge groups and massive matter representations. This is done by perturbatively integrating out massive, charged fields. The Feynman…

High Energy Physics - Theory · Physics 2008-11-26 Mina Aganagic , Ken Intriligator , Cumrun Vafa , Nicholas P. Warner

In this letter we compute the exact effective superpotential of {\cal N}=1 U(N) supersymmetric gauge theories with N_f fundamental flavors and an arbitrary tree-level polynomial superpotential for the adjoint Higgs field. We use the matrix…

High Energy Physics - Theory · Physics 2009-11-11 Federico Elmetti , Alberto Santambrogio , Daniela Zanon

The Wess-Zumino-Witten model defined on the group SU(2) has a unique (non-trivial) simple current of conformal dimension k/4 for each level k. The extended algebra defined by this simple current is carefully constructed in terms of…

High Energy Physics - Theory · Physics 2008-11-26 Pierre Mathieu , David Ridout

We analyze the strong coupling behavior of the large N gauge theories in 4-dimensions with N=4 supersymmetry by making use of S-duality. We show that at large values of the coupling constant $\lambda=g_{YM}^2N$ the j-th non-planar amplitude…

High Energy Physics - Theory · Physics 2007-05-23 Tohru Eguchi

Sp($2N$) gauge theories with fermonic matter provide an ideal laboratory to build extensions of the standard model based on novel composite dynamics. Examples include composite Higgs along with top partial compositeness and composite dark…

High Energy Physics - Lattice · Physics 2023-01-11 Jong-Wan Lee , Ed Bennett , Deog Ki Hong , Ho Hsiao , C. -J. David Lin , Biagio Lucini , Maurizio Piai , Davide Vadacchino

We calculate the mass spectra and string tensions of SU(2), SU(3), SU(4) and SU(5) gauge theories in 2+1 dimensions. We do so by simulating the corresponding lattice theories and then extrapolating dimensionless mass ratios to the continuum…

High Energy Physics - Lattice · Physics 2009-10-31 M. Teper

Detailed studies of four dimensional N=2 superconformal field theories (SCFT) defined by isolated complete intersection singularities are performed: we compute the Coulomb branch spectrum, Seiberg-Witten solutions and central charges. Most…

High Energy Physics - Theory · Physics 2016-06-22 Yifan Wang , Dan Xie , Stephen S. -T. Yau , Shing-Tung Yau

We report on our ongoing investigation of the deconfining phase transition in SU(4) and SU(6) gauge theories. We calculate the critical couplings while taking care to avoid the influence of a nearby bulk phase transition. We determine the…

High Energy Physics - Lattice · Physics 2009-11-07 B. Lucini , M. Teper , U. Wenger

In this paper we deal with algebro-geometrical problems connected with testing S-duality conjecture for super-symmetric Yang-Mills quantum field theories in four dimensions. We describe all field configurations such that beta function…

alg-geom · Mathematics 2008-02-03 Boris V. Karpov

The deconfinement transition in SU(4) lattice gauge theory is investigated on N_s^3 X N_t lattices for N_s = 8-16 and N_t = 4-8 using a modified Wilson action which is expected to be free of any bulk transitions. The susceptibility…

High Energy Physics - Lattice · Physics 2009-11-07 Rajiv V. Gavai
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