# 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…

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## 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…

### 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…

### The exact superconformal R-symmetry extremizes Z

- Physics
- 2012

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…