An Application of Collapsing Levels to the Representation Theory of Affine Vertex Algebras by Adamović, Dražen, Kac, Victor G, Möseneder Frajria, Pierluigi, Papi, Paolo, Perše, Ozren

“…We discover a large class of simple affine vertex algebras Vk (g), associated to basic Lie superalgebras g at non-admissible collapsing levels k, having exactly one irreducible g-locally finite module in the category O. …”
Get full text

Deconstructing supergravity: massive supermultiplets by Nicholas A. Ondo, Andrew J. Tolley

“…We explicitly check this by deconstructing 5-D N = 2 $$ \mathcal{N}=2 $$ super-Maxwell theory down to 4-D N = 1 $$ \mathcal{N}=1 $$ super-Proca theory, and deconstructing linear 5-D N = 2 $$ \mathcal{N}=2 $$ supergravity down to 4-D N = 1 $$ \mathcal{N}=1 $$ Zinoviev theory, and derive the full 4-D supersymmetry algebras and Stückelberg symmetries from the 5-D superalgebras and gauge symmetries, respectively. We conjecture that this procedure should admit a generalization to fully non-linear theories.…”
Get full text

An Ising-type formulation of the six-vertex model by Vladimir V. Bazhanov, Sergey M. Sergeev

“…Plausibly, all vertex models associated with quantized affine Lie algebras and superalgebras can be reformulated as Ising-type models with only two-spin interactions.…”
Get full text

Generalized Lie-algebraic structures related to integrable dispersionless dynamical systems and their application by Anatolij Prykarpatski, Denis Blackmore, Yarema A. Prykarpatski, Oksana E. Hentosh

“…We pay a special attention to a generalization of the devised Lie-algebraic scheme to a case of loop Lie superalgebras of superconformal diffeomorphisms of the $1|N$-dimensional supertorus. …”
Get full text

Conformal bridge transformation, PT $$ \mathcal{PT} $$ - and supersymmetry by Luis Inzunza, Mikhail S. Plyushchay

“…We also investigate an exotic N = 2 supersymmetric generalization, in which the higher order supercharges generate nonlinear superalgebras. We generalize the construction for the 2D case to obtain the PT $$ \mathcal{PT} $$ -invariant supersymmetric systems that transform into the spin-1/2 Landau problem with and without an additional Aharonov-Bohm flux, where in the latter case, the well-defined integrals of motion appear only when the flux is quantized. …”
Get full text

Warm Dark Matter from Higher-Dimensional Gauge Theories by Sinziana Paduroiu, Michael Rios, Alessio Marrani, David Chester

“…Bridging higher-dimensional particle physics theories with cosmology studies and astrophysical observations, our approach is two-folded, i.e., it includes realistic models from higher-dimensional representations and constraints from simulations tested against observations. Starting with superalgebras in exceptional periodicity theories, we discuss several symmetry reductions and we consider several representations that accommodate a high number of degrees of freedom. …”
Get full text

T-duality/plurality of BTZ black hole metric coupled to two fermionic fields by Ali Eghbali, Meysam Hosseinpour-Sadid, Adel Rezaei-Aghdam

“…The dualizing is performed on some non-Abelian Lie supergroups of the type (2|2), in such a way that we are dealing with semi-Abelian superdoubles which are non-isomorphic as Lie superalgebras in each of the models. In the non-Abelian T-duality case, it is interesting to mention that the models can be conformally invariant up to one-loop order in both cases of the absence and presence of field strength. …”
Get full text