Instanton bound states in ABJM theory

Hatsuda, Yasuyuki; Moriyama, Sanefumi; Okuyama, Kazumi

doi:10.1007/jhep05(2013)054

Cited by 117 publications

(222 citation statements)

References 44 publications

(123 reference statements)

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“…(µ), the perturbative part is given by 16) with the coefficients 17) and the bound states are completely taken care of by the worldsheet instantons and the nonperturbative part consists only of pure worldsheet instantons and pure membrane instantons …”

Section: Jhep08(2017)003mentioning

confidence: 99%

“…After the discovery of the Fermi gas formalism [11] which rewrites the partition function into that of a Fermi gas system with N particles, more information on the matrix model was obtained. Besides the 't Hooft expansion, we can perform the WKB small k expansion [11,12] or study the numerical fitting from the exact values of the partition function [13][14][15][16]. Finally, the non-perturbative effects of the matrix model in the grand canonical ensemble are given explicitly by the free energy of the topological string theory on the local P 1 × P 1 geometry [8,9,17].…”

Section: Introductionmentioning

confidence: 99%

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

Moriyama¹,

Nakayama²,

Nosaka³

2017

J. High Energ. Phys.

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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 energy of topological strings whose Gopakumar-Vafa invariants coincide with those of the local D 5 del Pezzo geometry. By considering two types of one-parameter rank deformations U(N )×U(N + M )×U(N + 2M )×U(N + M ) and U(N + M )×U(N )×U(N + M )×U(N ), we classify the known diagonal BPS indices by degrees. Together with other two types of one-parameter deformations, we further propose the topological string expression when both of the above two deformations are turned on.

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Section: Jhep08(2017)003mentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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

Moriyama¹,

Nakayama²,

Nosaka³

2017

J. High Energ. Phys.

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“…Inspired by the seminal work of Drukker, Marino, and Putrov [71,72] and, in good part, with the use of the elegant Fermi gas approach developed by Marino and Putrov [73], a great deal about the ABJ(M) partition function has been uncovered, in particular, at large N , both in perturbative [73,74] and nonperturbative expansions [75][76][77][78][79][80][81][82]. There has also been significant progress in the study of Wilson loops in the ABJ(M) theory [83][84][85][86] as well as the partition functions of more general Chern-Simons-matter theories [87][88][89][90][91].…”

Section: Jhep08(2016)174mentioning

confidence: 99%

ABJ theory in the higher spin limit

Hirano

Honda

Shigemori

2016

J. High Energ. Phys.

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Abstract:We study the conjecture made by Chang, Minwalla, Sharma, and Yin on the duality between the N = 6 Vasiliev higher spin theory on AdS 4 and the N = 6 Chern-Simons-matter theory, so-called ABJ theory, with gauge group U(N ) × U(N + M ). Building on our earlier results on the ABJ partition function, we develop the systematic 1/M expansion, corresponding to the weak coupling expansion in the higher spin theory, and compare the leading 1/M correction, with our proposed prescription, to the one-loop free energy of the N = 6 Vasiliev theory. We find an agreement between the two sides up to an ambiguity that appears in the bulk one-loop calculation.

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“…From a series of works [13,14,15,16,11,17,18,19,20,21,22], we have found the grand potential of the ABJM partition function defined by…”

Section: Exact Instanton Expansionsmentioning

confidence: 99%

M-theory and matrix models

Moriyama¹

2015

Proceedings of KMI International Symposium 2013 on “Quest for the Origin of Particles and the Universe — PoS(KMI2013)

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We summarize our results on the ABJ(M) matrix model, which is the vacuum expectation value of a supersymmetric Wilson loop operator in the M2-brane worldvolume theory. We first give a Giambelli formula for the ABJ(M) matrix model. This formula implies that the fractional brane can be interpreted as a composite state of string excitations. We also present an exact instanton expansion of the ABJM partition function. This instanton expansion is especially interesting, because the coefficients of the string worldsheet instanton are divergent at certain Chern-Simons levels, though the divergences are completely cancelled by the divergences coming from the coefficients of the other membrane instanton. This is reminiscent of the lessons we learned in the non-perturbative study of string theory: String theory is a consistent theory only after including the non-perturbative branes. KMI International Symposium

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Instanton bound states in ABJM theory

Cited by 117 publications

References 44 publications

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

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

ABJ theory in the higher spin limit

M-theory and matrix models

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