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Related papers: Supersymmetric Scattering in Two Dimensions

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In the quantum mechanics of collision problems we must consider scattering states of the system. For these states, the wave functions do not remain in Hilbert space, but they are expressible in terms of generalized functions of a Gel'fand…

High Energy Physics - Theory · Physics 2009-10-31 Toshiki Shimbori , Tsunehiro Kobayashi

We propose a partial answer to the question of what kind of ultrahigh-energy physics has to be taken into account to circumvent the appearance of ultraviolet divergencies; a more than sixty years old open question in quantum…

General Physics · Physics 2007-05-23 Marijan Ribaric , Luka Sustersic

A quantum scattering theory is developed for Fock states scattered by two-level systems in the free space. Compared to existing scattering theories that treat incident light semi-classically, the theory fully quantizes the incident light as…

Optics · Physics 2016-09-21 Jingfeng Liu , Ming Zhou , Zongfu Yu

Form factor bootstrap approach is applied for diagonal scattering theories. We consider the ADE theories and determine the functional equations satisfied by the minimal two-particle form factors. We also determine the parameterization of…

High Energy Physics - Theory · Physics 2009-10-28 Takeshi Oota

We construct a lattice model for two-dimensional N=(2,2) supersymmetric QCD (SQCD), with the matter multiplets belonging to the fundamental or anti-fundamental representation of the gauge group U(N) or SU(N). The construction is based on…

High Energy Physics - Lattice · Physics 2009-03-11 Fumihiko Sugino

We present the general ideas on SuperSymmetric Quantum Mechanics (SUSY-QM) using different representations for the operators in question, which are defined by the corresponding bosonic Hamiltonian as part of SUSY Hamiltonian and its…

Quantum Physics · Physics 2019-02-06 J. Socorro , Marco A Reyes , Carlos Villaseñor Mora

The complete spectrum of states in the supersymmetric principal chiral model based on SU(n) is conjectured, and an exact factorizable S-matrix is proposed to describe scattering amongst these states. The SU(n)_L*SU(n)_R symmetry of the…

High Energy Physics - Theory · Physics 2009-10-30 Jonathan M. Evans , Timothy J. Hollowood

The canonical quantization of $N=1$ and $N=2$ supergravity theories is reviewed in this report. A special emphasis is given to the topic of supersymmetric Bianchi class-A and FRW minisuperspaces, namely in the presence of supermatter…

General Relativity and Quantum Cosmology · Physics 2014-11-17 P. V. Moniz

We describe how the usual supercharges of extended supersymmetry may be {\it twisted} to produce a BRST-like supercharge $Q$. The usual supersymmetry algebra is then replaced by a twisted algebra and the action of the twisted theory is…

High Energy Physics - Lattice · Physics 2009-11-10 Simon Catterall

Quantum field theory provides the framework for the most fundamental physical theories to be confirmed experimentally and has enabled predictions of unprecedented precision. However, calculations of physical observables often require great…

High Energy Physics - Theory · Physics 2019-01-04 Stephen P. Jordan , Keith S. M. Lee , John Preskill

An announcement of some results of a longer paper where the supersymmetric vacua of two dimensional N=2 susy gauge theories with matter are shown to be in one-to-one correspondence with the eigenstates of integrable spin chain Hamiltonians.…

High Energy Physics - Theory · Physics 2014-11-18 Nikita A. Nekrasov , Samson L. Shatashvili

A generalization of the eight vertex model by means of higher spin representations of the Sklyanin algebra is investigated by the quantum inverse scattering method and the algebraic Bethe Ansatz. Under the well-known string hypothesis…

q-alg · Mathematics 2009-10-28 Takashi Takebe

It is known that some theories of class $S$ are actually factorized into multiple decoupled nontrivial four-dimensional $N=2$ theories. We propose a way of constructing examples of this phenomenon using the physics of half-BPS surface…

High Energy Physics - Theory · Physics 2021-12-22 Behzat Ergun , Qianyu Hao , Andrew Neitzke , Fei Yan

We give a modern geometric viewpoint on anomalies in quantum field theory and illustrate it in a 1-dimensional theory: supersymmetric quantum mechanics. This is background for the resolution of worldsheet anomalies in orientifold…

High Energy Physics - Theory · Physics 2014-06-24 Daniel S. Freed

We derive the exact S-matrix for the scattering of particular representations of the centrally-extended psu(1|1)^2 Lie superalgebra, conjectured to be related to the massive modes of the light-cone gauge string theory on AdS_2 x S^2 x T^6.…

High Energy Physics - Theory · Physics 2015-06-22 Ben Hoare , Antonio Pittelli , Alessandro Torrielli

Supersymmetric field theories on noncommutative spaces are constructed. We present two different representations of noncommutative space, but we can obtain supersymmetry algebla and supersymmetric Yang-Mills action independent of its…

High Energy Physics - Theory · Physics 2009-11-07 Yoshinobu Habara

We analyse various two dimensional theories arising from compactification of type II and heterotic string theory on asymmetric orbifolds. We find extra supersymmetry generators arising from twisted sectors, giving rise to exotic…

High Energy Physics - Theory · Physics 2018-04-04 Ioannis Florakis , Iñaki García-Etxebarria , Dieter Lust , Diego Regalado

We construct a scattering theory for harmonic one-forms on Riemann surfaces, obtained from boundary value problems involving systems of curves and the jump problem. We obtain an explicit expression for the scattering matrix in terms of…

Differential Geometry · Mathematics 2025-06-11 Eric Schippers , Wolfgang Staubach

We summarise the latest results of our collaboration concerning N=1 supersymmetric Yang-Mills theory in four dimensions on the lattice. We investigate the expected formation of supersymmetric multiplets of the lightest particles and the…

High Energy Physics - Lattice · Physics 2014-11-07 Georg Bergner , Pietro Giudice , Istvan Montvay , Gernot Münster , Umut D. Özugurel , Stefano Piemonte , Dirk Sandbrink

We develop crossing symmetric dispersion relations for describing 2-2 scattering of identical external particles carrying spin. This enables us to import techniques from Geometric Function Theory and study two sided bounds on low energy…

High Energy Physics - Theory · Physics 2022-09-07 Subham Dutta Chowdhury , Kausik Ghosh , Parthiv Haldar , Prashanth Raman , Aninda Sinha