Coset enumeration is one of the basic tools for investigating nitely presented groups. Many enumerations require signiicant resources, in terms of CPU time or memory space. We develop a fully functional parallel coset enumeration procedure and we discuss some of the issues involved in such parallelisation using the POSIX threads library. Our results can equally well be applied to any master-sla...

We derive the Green-Schwarz action on AdS 5 × S 5 using an alternate version of the coset superspace construction. By Wick rotations and Lie algebra identifications we bring the coset to GL(4|4)/(Sp(4) ⊗ GL(1)) 2 , which allows us to represent the conformal transformations on unconstrained matrices. The derivation is more streamlined even for the bosonic sector, and conformal symmetry is manife...

Here is a simplified proof that every sharply transitive subset of $\mathrm{PGL}_2(K)$ coset subgroup.

By using the general framework of affine Gaudin models, we construct a new class integrable sigma models. They are defined on coset direct product $N$ copies Lie group over some diagonal subgroup and they depend $3N-2$ free parameters. For $N=1$ corresponding model coincides with well-known symmetric space model. Starting from Hamiltonian formulation, derive Lagrangian for $N=2$ case show that ...