TNTomoki Nosaka

Tomoki Nosaka

Fudan University
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Tomoki Nosaka has a total of 23 co-authors. Here are the top co-authors by number of shared publications:

Latest Publications

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    Kac-Moody algebras from M5-giants

    by Hirotaka Hayashi, Tomoki Nosaka, Tadashi Okazaki

    A bstract: We examine the giant graviton expansions of the Higgs indices for the 3d 𝒩 = 4 U ( N ) ADHM theories with l fundamental hypermultiplets. The indices for the M5-brane giant gravitons of wrapping number m appearing in the expansions consist of the contributions that generalize the characters of the W-algebra 𝒲(𝔤𝔩( m )) and those which realize the characters of the affine Kac-Moody algebras of type A l −1 . Also we confirm that the inverse giant graviton expansions of the resulting M5-brane indices consistently reproduce the Higgs indices.

    Cited by 2
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    New recursion relations for M2-brane matrix models

    by Bin He, Tomoki Nosaka

    A bstract: In this paper we investigate the finite N exact values of the S 3 partition function of the $$ \mathcal{N} $$ N = 4 super Yang-Mills theory with one adjoint hypermultiplet and N f fundamental hypermultiplets, which describes N M2-branes on $$ {\mathbb{C}}^2\times {\mathbb{C}}^2/{\mathbb{Z}}_{N_{\textrm{f}}} $$ ℂ 2 × ℂ 2 / ℤ N f , with mass and FI deformations. We claim that the grand canonical sum of the partition function obeys a bilinear difference relation with respect to the shifts of the mass parameters of the fundamental hypermultiplets, which results in a new recursion relation for the partition function with respect to N . As an application, we also determine the analytic expression for the leading 1/ N non-perturbative correction to the free energy of these models, which would correspond holographically to the contribution from an M2-brane wrapped on a 3d volume in the internal space of AdS 4 × S 7 / $$ {\mathbb{Z}}_{N_{\textrm{f}}} $$ ℤ N f .

    Cited by 1
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    Abelian dualities and line defect indices for 3d gauge theories

    by Hirotaka Hayashi, Tomoki Nosaka, Tadashi Okazaki

    We find matching pairs of the line defect indices for 3d supersymmetric Abelian gauge theories as strong evidence of dualities of the BPS line operators. They lead to novel duality maps of the BPS line operators for $$ \mathcal{N}\ge 4 $$ N ≥ 4 supersymmetric circular and linear quiver gauge theories which can be realized as brane configurations in Type IIB string theory, including SQED, ADHM and ABJM theories.

    Cited by 7
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    New recursion relations for M2-brane matrix models

    by Bin He, Tomoki Nosaka

    In this paper we investigate the finite $N$ exact values of the $S^3$ partition function of the ${\cal N}=4$ super Yang-Mills theory with one adjoint hypermultiplet and $N_\text{f}$ fundamental hypermultiplets, which describes $N$ M2-branes on $\mathbb{C}^2\times \mathbb{C}^2/\mathbb{Z}_{N_\text{f}}$, with mass and FI deformations. We claim that the grand canonical sum of the partition function obeys a bilinear difference relation with respect to the shifts of the mass parameters of the fundamental hypermultiplets, which results in a new recursion relation for the partition function with respect to $N$. As an application, we also determine the analytic expression for the leading $1/N$ non-perturbative correction to the free energy of these models, which would correspond holographically to the contribution from an M2-brane wrapped on a 3d volume in the internal space of $\text{AdS}_4\times S^7/\mathbb{Z}_{N_\text{f}}$.

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    Exact large N expansion of N=4 circular quiver Chern-Simons theories

    by Naotaka Kubo, Tomoki Nosaka, Yi Pang

    In this work, we revisit the exact computation of the round sphere partition function of 3d N = 4 circular quiver Chern-Simons theories with mass and Fayet-Iliopoulos (FI) deformations. Utilizing the Fermi gas formalism, we derive the large N expansion of the partition function and determine the Airy function structure, parametrized by three functions C , B , and A . We propose a novel closed-form expression for A that incorporates the effects of FI parameters and satisfies various consistency constraints from quiver reductions. As an application, by using an accidental coincidence of the Fermi gas density matrices we extend our results to the squashed sphere partition function of N = 4 super Yang-Mills theories with an adjoint hypermultiplet and multiple fundamental hypermultiplets. Our findings provide further evidence for the universality of the Airy function structure in supersymmetric gauge theories of multiple M2-branes.

    Cited by 5
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    Exact large N expansion of mass deformed ABJM theory on squashed sphere

    by Naotaka Kubo, Tomoki Nosaka, Yi Pang

    In this paper we study the partition function of the mass deformed ABJM theory on a squashed three sphere. In particular, we focus on the case with the Chern-Simons levels being ±1 and apply a duality between this theory and the $$ \mathcal{N} $$ N = 4 U (N) super Yang-Mills theory with an adjoint hypermultiplet and a fundamental hypermultiplet. For a special mass parameter depending on the squashing parameter, we find that the partition function can be written as that of an ideal Fermi gas with a non-trivial density matrix. By studying this density matrix, we analytically derive the all order perturbative expansion of the partition function in 1/N, which turns out to take the form of the Airy function. Our results not only align with previous findings and conjectures but also lead to a new formula for the overall constant factor of the partition function. We also study the exact values of the partition function for small but finite values of N.

    Cited by 17
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    M2-M5 giant graviton expansions

    by Hirotaka Hayashi, Tomoki Nosaka, Tadashi Okazaki

    A bstract: We examine the giant graviton expansions of the Coulomb and Higgs indices for the M2-brane SCFTs to find the closed-form expressions for the indices that encode the spectra of the 1/4-BPS M5-brane giant gravitons and the 1/3-BPS orbifold M5-brane giant gravitons. Consequently, we get exact forms of the twisted indices for the 6d (2, 0) theories describing a stack of N M5-branes which generalize the unrefined indices. We confirm that they are also beautifully expanded with respect to the indices for the M2-brane giant gravitons which are obtained from the Coulomb and Higgs indices for the M2-brane SCFTs upon the change of variables.

    Cited by 16
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    ADHM Wilson line defect indices

    by Hirotaka Hayashi, Tomoki Nosaka, Tadashi Okazaki

    The Coulomb and Higgs indices of the 3d $$ \mathcal{N} $$ N = 4 U(N) ADHM theories can be decorated by line defect operators as the line defect correlators. We obtain exact closed-form expressions and various non-trivial algebraic relations for the correlators of the Wilson lines in the fundamental and (anti)symmetric representations by means of the Hall-Littlewood expansion, the Fermi-gas method and the residue calculation. From the large N limit of the correlators we obtain the single particle gravity indices which are expected to encode the spectra of fluctuation modes on the gravity duals of line operators in M2-brane SCFTs.

    Cited by 10
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    Fermi gas formalism for D-type quiver Chern-Simons theory with non-uniform ranks

    by Naotaka Kubo, Tomoki Nosaka

    We construct the Fermi gas formalism for the partition function of supersymmetric Chern-Simons theories with affine D-type quiver diagrams with non-uniform ranks of the gauge groups and Fayet-Illiopoulos parameters by two different approaches: the open string formalism and the closed string formalism. In the closed string formalism approach, we find a novel connection between the partition function of this theory and the partition function of a four-nodes circular quiver supersymmetric Chern-Simons theory. We also studied a symmetry of a density matrix appeared in the closed string formalism. We further calculate the exact values of the partition function for finite N, with which we identified the exponent of the leading non-perturbative effect in 1/N corresponding to the worldsheet instantons in the circular quiver supersymmetric Chern-Simons theories.

    Cited by 10
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    Asymptotic Degeneracies of M2-Brane SCFTs

    by Hirotaka Hayashi, Tomoki Nosaka, Tadashi Okazaki

    Cited by 8
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