Janus interface in two-dimensional supersymmetric gauge theories
arXiv:1810.03247 · doi:10.1007/JHEP10(2019)045
Abstract
We study the Janus interface, a domain wall characterized by spatially varying couplings, in two-dimensional N=(2,2) supersymmetric gauge theories on the two-sphere. When the variations of the couplings are small enough, SUSY localization in the Janus background gives an analytic continuation of the sphere partition function. This directly demonstrates that the interface entropy is proportional to the quantity known as Calabi's diastasis, as originally shown by Bachas et al. When the variations are not small, we propose that an analytic continuation of the sphere partition function coincides with the Janus partition function. We give a prescription for performing such analytic continuation and computing monodromies. We also point out that the Janus partition function for the equivariant A-twist is precisely the generating function of A-model correlation functions.
arXiv comment38 pages, 5 figures; v2: minor corrections, a reference and comments added, published version
References in corpus (34)
- Janus Configurations, Chern-Simons Couplings, And The Theta-Angle in N=4 Super Yang-Mills Theory
- Naturalness Versus Supersymmetric Non-renormalization Theorems
- Summing the Instantons: Quantum Cohomology and Mirror Symmetry in Toric Varieties
- Partition functions of N=(2,2) gauge theories on S^2 and vortices
- Permeable conformal walls and holography
- Exact Results in D=2 Supersymmetric Gauge Theories
- A topologically twisted index for three-dimensional supersymmetric theories
- A Dilatonic Deformation of AdS_5 and its Field Theory Dual
- Mirror Symmetry, Mirror Map and Applications to Complete Intersection Calabi-Yau Spaces
- D-branes in Gepner models
- Special Kahler Manifolds
- Sphere Partition Functions and the Zamolodchikov Metric
- The dual of Janus -:- an interface CFT
- Surface Operators in N=2 4d Gauge Theories
- Exact Kahler Potential from Gauge Theory and Mirror Symmetry
- The equivariant A-twist and gauged linear sigma models on the two-sphere
- Defects and Bulk Perturbations of Boundary Landau-Ginzburg Orbifolds
- Exact Results in Supersymmetric Field Theories on Manifolds with Boundaries
- M2-brane surface operators and gauge theory dualities in Toda
- Comments on N=(2,2) Supersymmetry on Two-Manifolds
- Vortex partition functions, wall crossing and equivariant Gromov-Witten invariants
- tt* Geometry in 3 and 4 Dimensions
- On F-term contribution to effective action
- A Study of General 2D, N=2 Matter Coupled to Supergravity in Superspace
- Superspace Measures, Invariant Actions, and Component Projection Formulae for (2,2) Supergravity
- Prepotentials for (2,2) Supergravity
- Calabi's diastasis as interface entropy
- D-brane monodromies from a matrix-factorization perspective
- The Geometry of Gauged Linear Sigma Model Correlation Functions
- 2d, N=2 and N=4 supergravity and the Liouville theory in superspace
- Hemisphere Partition Function and Monodromy
- Equivariant A-twisted GLSM and Gromov--Witten invariants of CY 3-folds in Grassmannians
- Boundary Weyl anomaly of superconformal models
- Comments on supersymmetric renormalization in two-dimensional curved spacetime