Dressed elliptic genus of heterotic compactifications with torsion and general bundles
arXiv:1606.08982 · doi:10.1007/JHEP08(2016)176
Abstract
We define and compute the dressed elliptic genus of N = 2 heterotic compactifications with torsion that are principal two-torus bundles over a K3 surface. We consider the most general gauge bundle compatible with supersymmetry, a stable holomorphic vector bundle over the base together with an Abelian bundle over the total space, generalizing the computation previously done by the authors in the absence of the latter. Starting from a (0,2) gauged linear sigma-model with torsion we use supersymmetric localization to obtain the result. We provide also a mathematical definition of the dressed elliptic genus as a modified Euler characteristic and prove that both expressions agree for hypersurfaces in weighted projective spaces. Finally we show that it admits a natural decomposition in terms of N = 4 superconformal characters, that may be useful to investigate moonshine phenomena for this wide class of N = 2 vacua, that includes K3*T2 compactifications as special cases.
arXiv comment36 pages, version published in JHEP
References in corpus (25)
- Phases of Theories In Two Dimensions
- M Theory, Orientifolds and G-Flux
- Algebras, BPS States, and Strings
- Elliptic genera of 2d N=2 gauge theories
- A New Supersymmetric Index
- Notes on the K3 Surface and the Mathieu group M_24
- Elliptic genera of two-dimensional N=2 gauge theories with rank-one gauge groups
- Criteria for Conformal Invariance of (0,2) Models
- Geometric Model for Complex Non-Kaehler Manifolds with SU(3) Structure
- 2d Index and Surface operators
- Residues and World-Sheet Instantons
- Anomaly Cancellation and Smooth Non-Kahler Solutions in Heterotic String Theory
- Torsional Heterotic Geometries
- Universality properties of N=2 and N=1 Heterotic threshold corrections
- One-Loop BPS amplitudes as BPS-state sums
- Linear Sigma Models with Torsion
- Green-Schwarz Mechanism in Heterotic (2,0) Gauged Linear Sigma Models: Torsion and NS5 Branes
- Mathieu Moonshine and N=2 String Compactifications
- Novel Branches of (0,2) Theories
- Worldsheet instantons and (0,2) linear models
- Computing the Spectrum of a Heterotic Flux Vacuum
- GLSMs for non-Kahler Geometries
- c=2 Rational Toroidal Conformal Field Theories via the Gauss Product
- T-Duality in Gauged Linear Sigma-Models with Torsion
- New supersymmetric index of heterotic compactifications with torsion