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Two-Sphere Partition Functions and Gromov–Witten Invariants
Many $${\mathcal{N}=(2,2)}$$N=(2,2) two-dimensional nonlinear sigma models with Calabi–Yau target spaces admit ultraviolet descriptions as $${\mathcal{N}=(2,2)}$$N=(2,2) gauge theories (gauged linear
Nonabelian 2D gauge theories for determinantal Calabi-Yau varieties
A bstractThe two-dimensional supersymmetric gauged linear sigma model (GLSM) with abelian gauge groups and matter fields has provided many insights into string theory on Calabi-Yau manifolds of a
The effective action of D‐branes in Calabi‐Yau orientifold compactifications
In this review article we study type IIB superstring compactifications in the presence of space‐time filling D‐branes while preserving 𝒩=1 supersymmetry in the effective four‐dimensional theory.
Effective Superpotentials for Compact D5-Brane Calabi-Yau Geometries
For compact Calabi-Yau geometries with D5-branes we study N = 1 effective superpotentials depending on both open- and closed-string fields. We develop methods to derive the open/closed Picard-Fuchs
Conifold transitions in $M$-theory on Calabi-Yau fourfolds with background fluxes
We consider topology changing transitions for M-theory compactifications on Calabi– Yau fourfolds with background G-flux. The local geometry of the transition is generically a genus g curve of
A Note on Colored HOMFLY Polynomials for Hyperbolic Knots from WZW Models
Using the correspondence between Chern-Simons theories and Wess-Zumino-Witten models, we present the necessary tools to calculate colored HOMFLY polynomials for hyperbolic knots. For two-bridge