Exact Stringy Microstates from Gauge Theories

Lee, Jihoon

doi:10.48550/arxiv.2204.09286

Cited by 3 publications

(8 citation statements)

References 84 publications

(125 reference statements)

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“…This gives very strong constraints on the functions. This implies that the functions share common An important merit of our method is that the theory on giant gravitons does not have to be Lagrangian theories unlike the method adopted in [15,16,23], which uses deformed contour in the gauge fugacity integrals to realize the analytic continuation. We only need the final expression of the index of the giant graviton theory.…”

Section: Conclusion and Discussionmentioning

confidence: 99%

“…Because we cannot take a physical domain of expansion, using unit circles for integration contours is not justified. Although some rules for contours have been proposed [16,23], it is desirable to find more efficient method of calculation applicable to non-Lagrangian giant gravitons.…”

Section: Conclusion and Discussionmentioning

confidence: 99%

“…In this work we focused only on the maximally supersymmetric theories: 4d N = 4 SYM on D3-branes, 3d N = 8 SCFT on M2-branes, and 6d N = (2, 0) SCFT on M5-branes. The analysis on the gauge theory side [22,23] found the structure of the giant graviton expansions in variety of theories. It would be interesting to study the applicability of our method to more general class of theories which have holographic dual description.…”

Section: Conclusion and Discussionmentioning

confidence: 99%

“…with a single domain, and we need to use deformed contours for the gauge fugacity integrals [16,23]. Despite the absence of the factorization, the analysis in [22] suggests that only F (D3)…”

Section: Superconformal Index For T = D3mentioning

confidence: 99%

“…Similar expansion of the index is also proposed in [22] based on a complementary analysis on the gauge theory side, and such expansions were named "the giant graviton expansions". See also [23]. In their analysis the correspondents for giant gravitons and fluctuations on them are baryon operators and their modifications, respectively.…”

Section: Introductionmentioning

confidence: 99%

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Analytic continuation for giant gravitons

Imamura¹

2022

Preprint

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We investigate contributions of giant gravitons to the superconformal index. We concentrate on coincident giant gravitons wrapped around a single cycle, and each contribution is obtained by a certain variable change for fugacities from the index of the worldvolume theory on the giant gravitons. Because we treat the index as a series expansion of the fugacities and the variable change relates different convergence regions, we need an analytic continuation before summing up such contributions. We propose a systematic prescription for the continuation. Although our argument is based on some unproved assumptions, it passes non-trivial numerical checks for some examples. With the prescription we can calculate the indices of the M5-brane theories from those of the M2-brane theories, and vice versa.

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Section: Conclusion and Discussionmentioning

confidence: 99%

Section: Conclusion and Discussionmentioning

confidence: 99%

Section: Conclusion and Discussionmentioning

confidence: 99%

Section: Superconformal Index For T = D3mentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Analytic continuation for giant gravitons

Imamura¹

2022

Preprint

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Dualities and flavored indices of M2-brane SCFTs

Hayashi,

Nosaka,

Okazaki

2022

Preprint

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We study various conjectural dual descriptions of a stack of M2-branes in M-theory including ADHM, ABJ(M), BLG, discrete gauge theories and quiver Chern-Simons (CS) theories and propose several new dualities of the M2-brane SCFTs by analyzing flavored supersymmetric indices in detail. The mapping of local operators, Coulomb, Higgs and mixed branch operators as well as global symmetries under the dualities are obtained from the precise matching of the indices. Furthermore, we find closed form expressions for the Coulomb limit of the indices of the U (N ) ADHM theory and the dual quiver CS theory for arbitrary N and propose a refined generating function for plane partitions with trace N . For the quiver CS theories we also find an infinitesum expression for the Higgs limit of the indices which is more useful than the original expression.

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Modular factorization of superconformal indices

Jejjala¹,

Yang²,

Leuven³

et al. 2022

Preprint

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Superconformal indices of four-dimensional N = 1 gauge theories factorize into holomorphic blocks. We interpret this as a modular property resulting from the combined action of an SL(3, Z) and SL(2, Z) Z 2 transformation. The former corresponds to a gluing transformation and the latter to an overall large diffeomorphism, both associated with a Heegaard splitting of the underlying geometry. The extension to more general transformations leads us to argue that a given index can be factorized in terms of a family of holomorphic blocks parametrized by modular (congruence sub)groups. We find precise agreement between this proposal and new modular properties of the elliptic Γ function. This allows us to establish the "modular factorization" of superconformal lens indices of general N = 1 gauge theories. Based on this result, we systematically prove that a normalized part of superconformal lens indices defines a non-trivial first cohomology class associated with SL(3, Z). Finally, we use this framework to propose a formula for the general lens space index.

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Exact Stringy Microstates from Gauge Theories

Cited by 3 publications

References 84 publications

Analytic continuation for giant gravitons

Analytic continuation for giant gravitons

Dualities and flavored indices of M2-brane SCFTs

Modular factorization of superconformal indices

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