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ABJM theory as a Fermi gas

The partition function on the three-sphere of many supersymmetric Chern-Simons-matter theories reduces, by localization, to a matrix model. We develop a new method to study these models in the… Expand

From Weak to Strong Coupling in ABJM Theory

- N. Drukker, M. Mariño, P. Putrov
- Mathematics, Physics
- 22 July 2010

The partition function of $${\mathcal{N}=6}$$ supersymmetric Chern–Simons-matter theory (known as ABJM theory) on $${\mathbb{S}^3}$$ , as well as certain Wilson loop observables, are captured by a… Expand

Exact results in ABJM theory from topological strings

Recently, Kapustin, Willett and Yaakov have found, by using localization techniques, that vacuum expectation values of Wilson loops in ABJM theory can be calculated with a matrix model. We show that… Expand

Nonperturbative aspects of ABJM theory

- N. Drukker, M. Mariño, P. Putrov
- Mathematics
- 24 March 2011

A bstractUsing the matrix model which calculates the exact free energy of ABJM theory on $ {\mathbb{S}^3} $ we study non-perturbative effects in the large N expansion of this model, i.e., in the… Expand

BPS spectra and 3-manifold invariants

We provide a physical definition of new homological invariants $\mathcal{H}_a (M_3)$ of 3-manifolds (possibly, with knots) labeled by abelian flat connections. The physical system in question… Expand

Fivebranes and 3-manifold homology

A bstractMotivated by physical constructions of homological knot invariants, we study their analogs for closed 3-manifolds. We show that fivebrane compactifications provide a universal description of… Expand

EXACT ABJM PARTITION FUNCTION FROM TBA

- P. Putrov, M. Yamazaki
- Mathematics
- 20 July 2012

We report on the exact computation of the S3 partition function of U(N)k × U(N)-k ABJM theory for k = 1, N = 1, …, 19. The result is a polynomial in π-1 with rational coefficients. As an application… Expand

Braiding Statistics and Link Invariants of Bosonic/Fermionic Topological Quantum Matter in 2+1 and 3+1 dimensions

- P. Putrov, Juven C. Wang, S. Yau
- Physics
- 29 December 2016

Exact solutions of (0,2) Landau-Ginzburg models

- Abhijit Gadde, P. Putrov
- Physics, Mathematics
- 28 August 2016

In this paper we study the low energy physics of Landau-Ginzburg models with N $$ \mathcal{N} $$ = (0 , 2) supersymmetry. We exhibit a number of classes of relatively simple LG models where the… Expand

Large N duality beyond the genus expansion

- M. Mariño, S. Pasquetti, P. Putrov
- Mathematics
- 24 November 2009

We study non-perturbative aspects of the large N duality between Chern-Simons theory and topological strings, and we find a rich structure of large N phase transitions in the complex plane of the 't… Expand

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