# Instanton effects in ABJM theory with general R-charge assignments

@article{Nosaka2015InstantonEI, title={Instanton effects in ABJM theory with general R-charge assignments}, author={Tomoki Nosaka}, journal={Journal of High Energy Physics}, year={2015}, volume={2016}, pages={1-24} }

A bstractWe study the large N expansion of the partition function of the quiver superconformal Chern-Simons theories deformed by two continuous parameters which correspond to general R-charge assignment to the matter fields. Though the deformation breaks the conformal symmetry, we find that the partition function shares various structures with the superconformal cases, such as the Airy function expression of the perturbative expansion in 1/N with the overall constant A(k) related to the…

## 49 Citations

### Large N partition functions of the ABJM theory

- Mathematics, PhysicsJournal of High Energy Physics
- 2023

We study the large N limit of some supersymmetric partition functions of the U(N)k × U(N)−k ABJM theory computed by supersymmetric localization. We conjecture an explicit expression, valid to all…

### ABJM at finite N via 4d supergravity

- PhysicsJournal of High Energy Physics
- 2022

We apply the conjecture of [1] for gravitational building blocks to the effective supergravity description of M-theory on S7/ℤk. Utilizing known localization results for the holographically dual ABJM…

### M2-branes in M-theory and exact large N expansion

- Physics
- 2016

The purpose of this thesis is to present our recent studies on the exact large N expansion of the partition function of the N = 4 U(N) circular quiver superconformal Chern-Simons theories. These…

### Superconformal Line Defects in 3D

- PhysicsUniverse
- 2021

We review the recent progress in the study of line defects in three-dimensional Chern–Simons-matter superconformal field theories, notably the ABJM theory. The first part is focused on kinematical…

### Modular invariance in superstring theory from N = 4 super-Yang-Mills

- Mathematics
- 2020

We study the four-point function of the lowest-lying half-BPS operators in the N = 4 SU(N) super-Yang-Mills theory and its relation to the flat-space four-graviton amplitude in type IIB superstring…

### Instanton effects in rank deformed superconformal Chern-Simons theories from topological strings

- Mathematics
- 2017

A bstractIn the so-called (2, 2) theory, which is the U(N)4 circular quiver superconformal Chern-Simons theory with levels (k, 0, −k, 0), it was known that the instanton effects are described by the…

### Instanton effects in rank deformed superconformal Chern-Simons theories from topological strings

- MathematicsJournal of High Energy Physics
- 2017

In the so-called (2, 2) theory, which is the U(N)4 circular quiver superconformal Chern-Simons theory with levels (k, 0, −k, 0), it was known that the instanton effects are described by the free…

### ABJM at strong coupling from M-theory, localization, and Lorentzian inversion

- MathematicsJournal of High Energy Physics
- 2022

We study the stress tensor multiplet four-point function in the 3d maximally supersymmetric ABJ(M) theory with Chern-Simons level k = 2, which in the large N limit is holographically dual to weakly…

### PUPT-2541 Solving M-theory with the Conformal Bootstrap

- Physics
- 2018

We use the conformal bootstrap to perform a precision study of 3d maximally supersymmetric (N = 8) SCFTs that describe the IR physics on N coincident M2-branes placed either in flat space or at a…

### Superconformal Chern-Simons theories from del Pezzo geometries

- Physics
- 2017

A bstractWe 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…

## References

SHOWING 1-10 OF 53 REFERENCES

### Superconformal Chern-Simons partition functions of affine D-type quiver from Fermi gas

- Mathematics
- 2015

A bstractWe consider the partition function of the superconformal Chern-Simons theories with the quiver diagram being the affine D-type Dynkin diagram. Rewriting the partition function into that of a…

### Partition functions of superconformal Chern-Simons theories from Fermi gas approach

- Mathematics
- 2014

A bstractWe study the partition function of three-dimensional N=4$$ \mathcal{N}=4 $$ superconformal Chern-Simons theories of the circular quiver type, which are natural generalizations of the ABJM…

### Exact instanton expansion of superconformal Chern-Simons theories from topological strings

- Mathematics, Physics
- 2014

A bstractIt was known that the ABJM matrix model is dual to the topological string theory on a Calabi-Yau manifold. Using this relation it was possible to write down the exact instanton expansion of…

### Instanton effects in ABJM theory from Fermi gas approach

- Physics
- 2013

A bstractWe study the instanton effects of the ABJM partition function using the Fermi gas formalism. We compute the exact values of the partition function at the Chern-Simons levels k = 1, 2, 3, 4,…

### Exact results in ABJM theory from topological strings

- Physics
- 2010

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…

### ABJ fractional brane from ABJM Wilson loop

- Physics
- 2014

A bstractWe present a new Fermi gas formalism for the ABJ matrix model. This formulation identifies the effect of the fractional M2-brane in the ABJ matrix model as that of a composite Wilson loop…

### Numerical studies of the ABJM theory for arbitrary N at arbitrary coupling constant

- Physics
- 2012

A bstractWe show that the ABJM theory, which is an $ \mathcal{N} = {6} $ superconformal U(N) × U(N) Chern-Simons gauge theory, can be studied for arbitrary N at arbitrary coupling constant by…

### ABJM theory as a Fermi gas

- Physics
- 2012

The partition function on the 3-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 M-theory…

### Non-perturbative effects and the refined topological string

- Mathematics
- 2014

A bstractThe partition function of ABJM theory on the three-sphere has nonperturbative corrections due to membrane instantons in the M-theory dual. We show that the full series of membrane instanton…

### Instanton effects in orbifold ABJM theory

- Physics
- 2014

A bstractWe study the partition function of the orbifold ABJM theory on S3, which is the N$$ \mathcal{N} $$ = 4 necklace quiver Chern-Simons-matter theory with alternating levels, in the Fermi gas…