Complex Chern-Simons from M5-branes on the Squashed Three-Sphere
arXiv:1305.2891
Abstract
We derive an equivalence between the (2,0) superconformal M5-brane field theory dimensionally reduced on a squashed three-sphere, and Chern-Simons theory with complex gauge group. In the reduction, the massless fermions obtain an action which is second order in derivatives and are reinterpreted as ghosts for gauge fixing the emergent non-compact gauge symmetry. A squashing parameter in the geometry controls the imaginary part of the complex Chern-Simons level.
26 pages + appendices
References in corpus (7)
- Towards a derivation of holographic entanglement entropy
- Holographic c-theorems in arbitrary dimensions
- Nonlinear W(infinity) Algebra as Asymptotic Symmetry of Three-Dimensional Higher Spin Anti-de Sitter Gravity
- Seeing a c-theorem with holography
- Instantons on the 5-sphere and M5-branes
- Superconformal Index and 3d-3d Correspondence for Mapping Cylinder/Torus
- Chern-Simons Theory and S-duality
Cited by in corpus (16)
- 3d Chern-Simons Theory from M5-branes
- Supersymmetric Rényi Entropy in Five Dimensions
- The general M5-brane superconformal index
- Supersymmetric gauge theory, (2,0) theory and twisted 5d Super-Yang-Mills
- Colored Kauffman Homology and Super-A-polynomials
- Holography of 3d-3d correspondence at Large N
- Toda Theory From Six Dimensions
- Superconformal Index and 3d-3d Correspondence for Mapping Cylinder/Torus
- A 3d-3d appetizer
- Equivariant Verlinde formula from fivebranes and vortices
- Refined 3d-3d Correspondence
- AGT relation in the light asymptotic limit
- Complex Chern-Simons theory at level k via the 3d-3d correspondence
- A Landscape of Field Theories
- Partially twisted superconformal M5 brane in R-symmetry gauge field backgrounds
- The geometric Langlands twist in five and six dimensions