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We derive the spectra of D=2, SU(3) supersymmetric Yang-Mills quantum mechanics in all fermionic sectors. Moreover, we provide exact expressions for the corresponding eigenvectors in the sectors with none and one fermionic quantum. We also…

Mathematical Physics · Physics 2011-04-11 Piotr Korcyl

We develop Coulomb gas pictures of strong and weak coupling regimes of supersymmetric Yang-Mills theory in five and four dimensions. By relating them to the matrix models that arise in Chern-Simons theory, we compute their free energies in…

High Energy Physics - Theory · Physics 2014-02-05 Georgios Giasemidis , Richard J. Szabo , Miguel Tierz

The $D=4$ supersymmetric Yang-Mills quantum mechanics with $SU(2)$ and $SU(3)$ gauge symmetry groups is studied. A numerical method to find finite matrix representation of the Hamiltonian is presented in detail. It is used to find spectrum…

High Energy Physics - Theory · Physics 2014-08-13 Zbigniew Ambrozinski

We consider the dynamics of a probe fermion charged under a U(1) Maxwell field and a two form potential $B_{(2)}$ in a five dimensional gravity background. The gravity background is constructed from a new solution we find of type IIB…

High Energy Physics - Theory · Physics 2010-02-25 Tameem Albash

The energy density and angular distribution of power radiated by a quark undergoing circular motion in strongly coupled ${\cal N}=4$ supersymmetric Yang-Mills (SYM) theory is computed using gauge/gravity duality. The results are…

High Energy Physics - Theory · Physics 2011-02-01 Christiana Athanasiou , Paul M. Chesler , Hong Liu , Dominik Nickel , Krishna Rajagopal

We solve a generalization of ordinary N=1 super Yang-Mills theory with gauge group U(N) and an adjoint chiral multiplet X for which we turn on both an arbitrary tree-level superpotential term \int d^{2}\theta Tr W(X) and an arbitrary…

High Energy Physics - Theory · Physics 2009-04-03 Frank Ferrari

The complexity of "top-down" string-dual candidates for strongly-coupled Yang-Mills theories and in particular for QCD almost always prohibits their exact analytical or even comprehensive numerical treatment. This impedes both a thorough…

High Energy Physics - Theory · Physics 2015-12-31 Hilmar Forkel

An unusual four-dimensional generally covariant and supersymmetric SU(2) gauge theory is described. The theory has propagating degrees of freedom, and is invariant under a local (left-handed) chiral supersymmetry, which is half the…

High Energy Physics - Theory · Physics 2009-10-30 Viqar Husain

We are simulating SU(2) Yang-Mills theory with four flavours of dynamical quarks in the fundamental representation of SU(2) `colour' at finite chemical potential, mu for quark number, as a model for QCD at finite baryon number density. In…

High Energy Physics - Lattice · Physics 2014-11-17 S. J. Hands , J. B. Kogut , S. E. Morrison , D. K. Sinclair

We report on our non-perturbative investigations of supersymmetric Yang-Mills quantum mechanics with 4 supercharges. We employ two independent numerical methods. First of them is the cut Fock space method whose numerical implementation was…

High Energy Physics - Lattice · Physics 2014-12-02 Zbigniew Ambrozinski , Piotr Korcyl

Studies of noncommutative gauge theory have mainly focused on noncommutative spacetimes with constant noncommutative structure, with little known about actions for noncommutative 4D Yang-Mills theory beyond this case. We construct an action…

High Energy Physics - Theory · Physics 2023-02-07 Tim Meier , Stijn J. van Tongeren

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

Using AdS/CFT, we calculate the energy density of a quark moving through a thermal state of N=4 super-Yang-Mills theory. Relying on previous work for momentum-space representations as well as asymptotic behaviors, we Fourier transform to…

High Energy Physics - Theory · Physics 2009-04-17 Steven S. Gubser , Silviu S. Pufu , Amos Yarom

We study the dynamics of quenched fundamental matter in $\mathcal{N}=2^\ast$ supersymmetric large $N_c$ $SU(N_c)$ Yang-Mills theory, extending our earlier work to finite temperature. We use probe D7-branes in the holographically dual…

High Energy Physics - Theory · Physics 2011-08-04 Tameem Albash , Clifford V. Johnson

We consider supersymmetric gauge theories on $S^5$ with a negative Yang-Mills coupling in their large $N$ limits. Using localization we compute the partition functions and show that the pure ${\mathrm{SU}}(N)$ gauge theory descends to an…

High Energy Physics - Theory · Physics 2021-03-17 Joseph A. Minahan , Anton Nedelin

We have constructed a two dimensional theory dual to 3D asymptotically flat Supergravity in presence of two supercharges with(out) internal $R-$symmetry. The duals in both the cases are identified with chiral Wess-Zumino-Witten models.…

High Energy Physics - Theory · Physics 2020-01-08 Nabamita Banerjee , Arindam Bhattacharjee , Neetu , Turmoli Neogi

Starting from the Maldacena-Nunez supergravity dual of N=1 super Yang-Mills theory we study the inclusion of a supersymmetry breaking gaugino mass term. We consider a class of non supersymmetric deformations of the MN solutions which have…

High Energy Physics - Theory · Physics 2009-11-07 N. Evans , M. Petrini , A. Zaffaroni

We calculate the resummed perturbative free energy of ${\cal N} = 4$ supersymmetric Yang-Mills in four spacetime dimensions (SYM$_{44}$) to order $\lambda^{5/2}$ in the 't Hooft coupling at finite temperature and zero chemical potential.…

High Energy Physics - Theory · Physics 2026-04-08 Margaret E. Carrington , Gabor Kunstatter , Ubaid Tantary

After adding auxiliary fields and integrating out the original variables, the Yang-Mills action can be expressed in terms of local gauge invariant variables. This method reproduces the known solution of the two dimensional $SU(N)$ theory.…

High Energy Physics - Theory · Physics 2009-10-28 O. Ganor , J. Sonnenschein

We argue that a certain twisted supersymmetric Yang-Mills theory in three dimensions with gauge group SU(2) possesses a set of topological observables whose expectation values can be computed in a related Chern Simons theory. This Chern…

High Energy Physics - Lattice · Physics 2011-02-11 Simon Catterall