# 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}
}
• Tomoki Nosaka
• Published 9 December 2015
• Physics, Mathematics
• Journal of High Energy Physics
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…
• Mathematics, Physics
Journal 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
• K. Hristov
• Physics
Journal 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
• Mathematics
Journal of High Energy Physics
• 2020
We consider the four-point function of operators in the stress tensor multiplet of the U(N)k× U(N)−k ABJM theory, in the limit where N is taken to infinity while N/k5 is held fixed. In this limit,
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
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
• 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
• 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
• Mathematics
Journal 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
• Mathematics
Journal 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
• 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

## References

SHOWING 1-10 OF 53 REFERENCES

• 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
• 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
• 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
• 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,
• 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
• 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
• 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
• 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
• 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
A bstractThe three sphere partition function, Z , of three dimensional theories with four supercharges and an R-symmetry is computed using localization, resulting in a matrix integral over the Cartan