2013/11/30 by Sujay K. Ashok, Nima Doroud, Jan Troost
Mathematics · Physics and Astronomy · #Abelian group #Algebraic structures and combinatorial models #Black Holes and Theoretical Physics #Dilaton #Genus #Homotopy and Cohomology in Algebraic Topology #Isometry (Riemannian geometry) #Sigma #Sigma model #Supersymmetry #hep-th
paper · pdf · doi:10.1007/jhep04(2014)119
19+1 pages, LaTeX. Minor correction
openalex publication_date 2014/04/01 · arxiv created 2014/06/10 · arxiv updated 2014/06/11 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
We calculate the elliptic genus of two dimensional abelian gauged linear sigma models with (2, 2) supersymmetry using supersymmetric localization. The matter sector contains charged chiral multiplets as well as Stückelberg fields coupled to the vector multiplets. These models include theories that flow in the infrared to non-linear sigma models with target spaces that are non-compact Kähler manifolds with U(N) isometry and with an asymptotically linear dilaton direction. The elliptic genera are the modular completions of mock Jacobi forms that have been proposed recently using complementary arguments. We also compute the elliptic genera of models that contain multiple Stückelberg fields from first principles.