Using sigma-model approach, we study a class of coset spaces with torsion which compactify the D = 26 closed bose-string theory. Requiring also that massless chiral fermions arise from the geometry/topology of coset space, we are left with the unique possibility: it implies D = 14 subcritical dimensions and the isometry group G 2 × G 2 .

Using sigma-model approach, we study a class of coset spaces with torsion which compactify the D = 26 closed bose-string theory. Requiring also that massless chiral fermions arise from the geometry/topology of coset space, we are left with the unique possibility: it implies D = 14 subcritical dimensions and certain isometry group.

Let $H$ and $K$ be compact subgroups of locally compact group $G$. By considering the double coset space $Ksetminus G/H$, which equipped with an $N$-strongly quasi invariant measure $mu$, for $1leq pleq +infty$, we make a norm decreasing linear map from $L^p(G)$ onto $L^p(Ksetminus G/H,mu)$ and demonstrate that it may be identified with a quotient space of $L^p(G)$. In addition, we illustrate t...

Many multi-product firms incur a complexity fixed cost when offering different product lines in different quality tiers relative to the case when offering all products lines in the same quality tier (high or low). Such fixed costs create an interdependency between firms’choices of quality tiers across different product lines, even when demands are independent. We investigate the effects of this...

By considering the fermionic realization of G/H coset models, we show that the partition function for the U(1)/U(1) model defines a Topological Quantum Field Theory and coincides with that for a 2dimensional Abelian BF system. In the non-Abelian case, we prove the topological character of G/G coset models by explicit computation, also finding a natural extension of 2-dimensional BF systems with...

In this paper, we propose a new method called coset partitioning to generate easily and efficiently the best space-time trellis codes (STTCs), thereby reducing considerably the usual important search time. This method, used in the case of 2-PSK STTCs, is an extension of the set partitioning proposed by Ungerboeck based on the coset and lattice Calderbank’s approach. The main guideline of the co...

It is well-known that concentrators are sparse graphs of high connectivity, which play a key role in the construction of switching networks; and any semi-vertex transitive graph is isomorphic to a bi-coset graph. In this paper, we prove that random bi-coset graphs are almost always concentrators, and construct some examples of semi-vertex transitive concentrators.

We perform the bosonic dualisation of the matter coupled N = 1, D = 9 supergravity. We derive the Lie superalgebra which parameterizes the coset map whose Cartan form realizes the second-order bosonic field equations. Following the non-linear coset construction we present the first-order formulation of the bosonic field equations as a twisted self-duality condition.

Inspired by Lie algebra expansion, we consider an extension of the introduced in A. Fontanella and S. J. van Tongeren [Coset space actions for nonrelativistic strings, High Energy Phys. 06 (2022) 80.] string coset action ${\mathrm{AdS}}_{5}\ifmmode\times\else\texttimes\fi{}{\mathrm{S}}^{5}$. We show that extended admits a nondegenerate inner product which is adjoint invariant under full algebra...

Let K be a finite field of characteristic p . We study certain class functions → that agree with an F -affine function on each coset given additive subgroup W – we call them W-coset-wise show these form permutation group the structure imprimitive wreath product and characterize which are complete mappings As consequence, able to provide various new examples cycle types for instance, if > 2 , th...