Superconformal Chern-Simons Theories from del Pezzo Geometries
arXiv:1707.02420 · doi:10.1007/JHEP11(2017)089
Abstract
We present an explicit expression for the grand potential of the U(N)^3 superconformal Chern-Simons theory with the Chern-Simons levels being (k,0,-k). From the viewpoint of the Newton polygon, it is expected that the grand potential is given by the free energy of the topological string theory on the local D_5 del Pezzo geometry, though the explicit identification was a puzzle for years. We show how the expectation is realized explicitly. As a bonus, we can also study the Z_2 orbifold of this theory and find the grand potential is now given in terms of the local E_7 del Pezzo geometry.
47 pages; v3: typos corrected, published version
References in corpus (12)
- N=6 superconformal Chern-Simons-matter theories, M2-branes and their gravity duals
- Fractional M2-branes
- Webs of five-branes and N=2 superconformal field theories
- Summing Up All Genus Free Energy of ABJM Matrix Model
- On the moduli space of elliptic Maxwell-Chern-Simons theories
- Exact ABJM Partition Function from TBA
- Partition Functions of Superconformal Chern-Simons Theories from Fermi Gas Approach
- Exact Instanton Expansion of Superconformal Chern-Simons Theories from Topological Strings
- Instanton Effects in Orbifold ABJM Theory
- Operators and higher genus mirror curves
- ABJM Membrane Instanton from Pole Cancellation Mechanism
- Dualities in ABJM Matrix Model from Closed String Viewpoint