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Possible short and semi-short representations for $\N=2$ and $\N=4$ superconformal symmetry in four dimensions are discussed. For $\N=4$ the well known short supermultiplets whose lowest dimension conformal primary operators correspond to…

High Energy Physics - Theory · Physics 2009-11-07 F. A. Dolan , H. Osborn

We propose a description of %manifestly supersymmetric continuous spin representations in $4D,\mathcal{N}=1$ Minkowski superspace at the level of equations of motions. The usual continuous spin wave function is promoted to a chiral or a…

High Energy Physics - Theory · Physics 2019-05-22 I. L. Buchbinder , S. James Gates , K. Koutrolikos

We analyze the spectrum of the N=(2,2) supersymmetric Landau-Ginzburg theory in two dimensions with superpotential W=X^{n+2}-lambda X^2. We find the full BPS spectrum of this theory by exploiting the direct connection between the UV and IR…

High Energy Physics - Theory · Physics 2009-11-07 Alin Tirziu , Paul Fendley

A universal numerical method is developed for the investigation of magnetic neutron scattering. By applying the pseudospectral-time-domain (PSTD) algorithm to the spinor version of the Schr\"odinger equation, the evolution of the spin-state…

Quantum Physics · Physics 2024-12-31 Kun Chen

We present N=2 supersymmetry transformations, both in N=1, D=4 Minkowski and anti-de Sitter superspaces, for higher superspin massless theories. It is noted that the existence of dual versions of massless supermultiplets with arbitrary…

High Energy Physics - Theory · Physics 2009-10-30 S. James Gates , Sergei M. Kuzenko , Alexander G. Sibiryakov

We study loop amplitudes in anti de-Sitter space via the spectral representation. We consider loops of spinning fields and in particular gauge fields, and derive various identities connecting different families of loop diagrams, at…

High Energy Physics - Theory · Physics 2024-06-18 Dean Carmi

This paper provides both a detailed study of color-dependence of link homologies, as realized in physics as certain spaces of BPS states, and a broad study of the behavior of BPS states in general. We consider how the spectrum of BPS states…

High Energy Physics - Theory · Physics 2017-04-25 Sergei Gukov , Satoshi Nawata , Ingmar Saberi , Marko Stosic , Piotr Sułkowski

Spectral embedding finds vector representations of the nodes of a network, based on the eigenvectors of a properly constructed matrix, and has found applications throughout science and technology. Many networks are multipartite, meaning…

Methodology · Statistics 2025-10-27 Alexander Modell , Ian Gallagher , Joshua Cape , Patrick Rubin-Delanchy

We conjecture a formula for the Schur index of four-dimensional $\mathcal{N}=2$ theories coupled to $(2,2)$ surface defects in terms of the $2d$-$4d$ BPS spectrum in the Coulomb phase of the theory. The key ingredient in our conjecture is a…

High Energy Physics - Theory · Physics 2018-01-17 Clay Cordova , Davide Gaiotto , Shu-Heng Shao

We study low-energy aspects of 3d $\mathcal{N}=2$ $Spin(N)$ gauge theories with matters in vector and (conjugate) spinor representations. Extending the construction of the 4d $\mathcal{N}=1$ $Spin(N)$ Seiberg duality, we find 3d magnetic…

High Energy Physics - Theory · Physics 2020-05-12 Keita Nii

We construct nonrelativistic spinning string solutions corresponding to $ SU(1,2|3) $ Spin-Matrix theory (SMT) limit of strings in $ AdS_5 \times S^5 $. Considering various nonrelativistic spinning string configurations both in $ AdS_5 $ as…

High Energy Physics - Theory · Physics 2020-11-11 Dibakar Roychowdhury

We present additional details of the scanning tunneling microscopy (STM) spectra predicted by the model of pinning of dynamic spin collective modes in d-wave superconductor proposed by Polkovnikov et al. (cond-mat/0203176). Along with…

Strongly Correlated Electrons · Physics 2007-05-23 Anatoli Polkovnikov , Subir Sachdev , Matthias Vojta

We present a detailed study of the analytic structure, BPS spectra and superconformal points of the $ N=2 $ susy $ SU(2) $ gauge theories with $ N_f=1,2,3 $ massive quark hypermultiplets. We compute the curves of marginal stability with the…

High Energy Physics - Theory · Physics 2009-10-30 Adel Bilal , Frank Ferrari

A new construction of BPS monodromies for 4d ${\mathcal N}=2$ theories of class S is introduced. A novel feature of this construction is its manifest invariance under Kontsevich-Soibelman wall crossing, in the sense that no information on…

High Energy Physics - Theory · Physics 2017-06-02 Pietro Longhi

The analysis of the dynamics on complex networks is closely connected to structural features of the networks. Features like, for instance, graph-cores and node degrees have been studied ubiquitously. Here we introduce the D-spectrum of a…

Combinatorics · Mathematics 2019-12-17 Ricky X. F. Chen , Christian M. Reidys , Andrei C. Bura

We construct the spin foam model for N=2 supergravity in three dimensions. Classically, it is a BF theory with gauge algebra osp(2|2). This algebra has representations which are not completely reducible. This complicates the procedure when…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Etera R. Livine , James P. Ryan

We deepen and refine the classification of supersymmetric solutions to N=2, D=4 gauged supergravity obtained in a previous paper. In the case where the Killing vector constructed from the Killing spinor is timelike, it is shown that the…

High Energy Physics - Theory · Physics 2009-11-10 Sergio L. Cacciatori , Marco M. Caldarelli , Dietmar Klemm , Diego S. Mansi

We present D=3 and D=4 models for massive particles moving in a new type of enlarged spacetime, with D-1 additional vector coordinates, which after quantization lead to the towers of massive higher spin (HS) free fields. Two classically…

High Energy Physics - Theory · Physics 2015-03-12 J. A. de Azcarraga , S. Fedoruk , J. M. Izquierdo , J. Lukierski

The physical states of D=5 holomorphic Chern-Simons theory correspond to on-shell D=10 open superstring states in the cohomology of $q_+$, where $q_+$ is one of the 16 spacetime supersymmetry generators. Scattering amplitudes of these…

High Energy Physics - Theory · Physics 2023-03-22 Nathan Berkovits

This note supplements a recent article in which it was pointed out that the observed spectrum of quarks and leptons can arise as quasi-particle excitations in a discrete internal space. The paper concentrated on internal vibrational modes…

High Energy Physics - Phenomenology · Physics 2013-11-22 Bodo Lampe