We prove the Gromov-Lawson-Rosenberg conjecture for cocompact Fuchsian groups, thereby giving necessary and sufficient conditions for a closed spin manifold of dimension greater than four with fundamental group cocompact Fuchsian to admit a metric of positive scalar curvature. Given a smooth closed manifold M, it is a long-standing question to determine whether or notM admits a Riemannian metri...

We propose a new parametrization of the four–point vertex function in the one–loop one–particle irreducible renormalization group (RG) scheme for fermions. It is based on a decomposition of the effective two–fermion interaction into fermion bilinears that interact via exchange bosons. The numerical computation of the RG flow of the boson propagators reproduces the leading weak coupling instabil...

We construct one-loop renormalization group (RG) invariant observables within flavor-blind minimal supersymmetric model (MSSM). The RG invariants turn out to be useful tools for sparticle spectroscopy in that they make otherwise-indirect relations among the model parameters manifest, they enable internal consistency checks of the model parameters via certain sum rules, and they directly probe t...

We study closed string tachyon condensation using the RG flow of the worldsheet theory. In many cases the worldsheet theory enjoys N = 2 supersymmetry, which provides analytic control over the flow, due to non-renormalization theorems. Moreover, Mirror symmetry sheds light on the RG flow in such cases. We discuss the relevant tachyon condensation in the context of both compact and non-compact s...

As a link between classical soft sets and hesitant fuzzy sets, the notion of hesitant fuzzy soft sets is introduced and applied to a decision making problem in the papers by Babitha and John (2013) and Wang et al. (2014). The aim of this paper is to apply hesitant fuzzy soft set for dealing with several kinds of theories in BCK/BCI-algebras. The notions of hesitant fuzzy soft subalgebras and (c...