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- Title
Large N expansion of mass deformed ABJM matrix model: M2-instanton condensation and beyond.
- Authors
Nosaka, Tomoki
- Abstract
We find new bilinear relations for the partition functions of the U(N)k × U(N + M)−k ABJ theory with two parameter mass deformation (m1, m2), which generalize the -Toda-like equation found previously for m1 = m2. By combining the bilinear relations with the Seiberg-like dualities and the duality cascade relations, we can determine the exact values of the partition functions recursively with respect to N. This method is more efficient than the exact calculation by the standard TBA-like approach in the Fermi gas formalism. As an application we study the large N asymptotics of the partition function with the mass parameters in the supercritical regime where the large N expansion obtained for small mass parameters is invalid.
- Subjects
PARTITION functions; CONDENSATION; INSTANTONS; CHERN-Simons gauge theory; ELECTRON gas
- Publication
Journal of High Energy Physics, 2024, Vol 2024, Issue 3, p1
- ISSN
1126-6708
- Publication type
Article
- DOI
10.1007/JHEP03(2024)087