2011/11/24 by Michael Blaszczyk, Stefan Groot Nibbelink, Fabian Ruehle · 2 citations
Mathematics · Physics and Astronomy · #Algebraic structures and combinatorial models #Black Holes and Theoretical Physics #Gravitational singularity #Homotopy and Cohomology in Algebraic Topology #Moduli space #Orbifold #Sigma #Sigma model #T-duality #Toroid #Worldsheet #hep-th
paper · pdf · doi:10.1007/jhep05(2012)053
published as JHEP 1205:053,2012 · 71 pages, 2 figures
arxiv created 2011/11/24 · openalex publication_date 2012/05/01 · arxiv updated 2012/06/18 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
Toroidal orbifolds and their resolutions are described within the framework of (2,2) Gauged Linear Sigma Models (GLSMs). Our procedure describes two-tori as hypersurfaces in (weighted) projective spaces. The description is chosen such that the orbifold singularities correspond to the zeros of their homogeneous coordinates. The individual orbifold singularities are resolved using a GLSM guise of non-compact toric resolutions, i.e. replacing discrete orbifold actions by Abelian worldsheet gaugings. Given that we employ the same global coordinates for both the toroidal orbifold and its resolutions, our GLSM formalism confirms the gluing procedure on the level of divisors discussed by Lust et al. Using our global GLSM description we can study the moduli space of such toroidal orbifolds as a whole. In particular, changes in topology can be described as phase transitions of the underlying GLSM. Finally, we argue that certain partially resolvable GLSMs, in which a certain number of fixed points can never be resolved, might be useful for the study of mini-landscape orbifold MSSMs.