We construct a new class of two-dimensional field theories with target spaces that are finite multiparameter deformations of the usual coset G/H-spaces. They arise naturally, when certain models, related by Poisson–Lie T-duality, develop a local gauge invariance at specific points of their classical moduli space. We show that canonical equivalences in this context can be formulated in loop spac...

We consider heterotic string theory on Eguchi–Hanson space, as a local model of a resolved A1 singularity in a six-dimensional flux compactification, with an Abelian gauge bundle turned on and non-zero torsion. We show that in a suitable double scaling limit, that isolates the physics near the non-vanishing two-cycle, a worldsheet conformal field theory description can be found. It contains a h...

Aktract-Construction of efficient block-encoded M-ary phase shift keying (M-PSK) schemes is investigated in this paper. An algebraic approach is adopted in which the basic modulation signals are associated with the elements of a finite group. Using some of the properties of group partition chains, the algebraic properties of linear codes are investigated. From this analysis, a class of codes ca...

We study bosonic Quantum Field Theory on the double covering $\widetilde{dS}_{2}$ of 2-dimensional de Sitter universe, identified to a coset space group $SL(2,{\Bbb R})$. The latter acts effectively and can be interpreted as it relativity group. manifold is locally identical standard spacetime ${dS}_2$; globally hyperbolic, geodesically complete an inertial observer sees exactly same bifurcate ...

Freiman’s theorem asserts, roughly speaking, if that a finite set in a torsion-free abelian group has small doubling, then it can be efficiently contained in (or controlled by) a generalised arithmetic progression. This was generalised by Green and Ruzsa to arbitrary abelian groups, where the controlling object is now a coset progression. We extend these results further to solvable groups of bo...

and the Monster simple group was discussed. In this paper, we will provide the technical details. We will determine the structure of the coset subalgebras and show that they are all generated by two conformal vectors of central charge 1/2.We also study the representation theory of these coset subalgebras and show that the product of two Miyamoto involutions is in the desired conjugacy class of ...

Parabolic subgroups WI of Coxeter systems (W,S), as well as their ordinary and double quotients W/WI and WI\W/WJ , appear in many contexts in combinatorics and Lie theory, including the geometry and topology of generalized flag varieties and the symmetry groups of regular polytopes. The set of ordinary cosets wWI , for I ⊆ S, forms the Coxeter complex of W , and is well-studied. In this article...