Giant gravitons in twisted holography

Budzik, Kasia; Gaiotto, Davide

doi:10.48550/arxiv.2106.14859

Cited by 4 publications

(6 citation statements)

References 33 publications

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“…In explicit examples, we find the appearance of not only determinants of scalar fields (e.g. det X), which were studied in the context of giant graviton branes [66][67][68][69][70][71][72][73][74][75][76][77][78][79][80], but also the determinant det F of a field strength component and heavy fermion condensates such as a gaugino-gaugino pair det λ + λ − and a gaugino-chiralino pair det λ ± ψ.…”

Section: Structure Of Microstatesmentioning

confidence: 99%

Exact stringy microstates from gauge theories

Lee

2022

J. High Energ. Phys.

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We study how the microstates of BPS sectors in string theory are organized in the dual U(N) gauge theory. The microstates take the form of a coherent sum of stacks of branes and their open/closed string excitations. We propose a prescription to holographically construct the indices of string/brane configurations by analyzing the modifications of determinant operators in gauge theory. The string/brane configurations should be interpreted in the tensionless limit, but their indices are well-defined at finite N. In various examples, we provide evidence that a sum, of the giant graviton-type recently proposed in the literature, over all such configurations gives the finite N gauge theory index. Finally, we discuss how these microstates assemble in the BPS Hilbert space and in what circumstances the branes can form bound states to produce black hole degeneracies.

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Section: Structure Of Microstatesmentioning

confidence: 99%

Exact stringy microstates from gauge theories

Lee

2022

J. High Energ. Phys.

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show abstract

“…In explicit examples, we find the appearance of not only determinants of scalar fields (e.g. det X), which were studied in the context of giant graviton branes [60][61][62][63][64][65][66][67][68][69][70][71][72][73][74], but also the determinant det F of a field strength component and heavy fermion condensates such as a gaugino-gaugino pair det λ + λ − and a gaugino-chiralino pair det λ ± ψ.…”

Section: Structure Of Microstatesmentioning

confidence: 99%

Exact Stringy Microstates from Gauge Theories

Lee¹

2022

Preprint

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We study how the microstates of BPS sectors in string theory are organized in terms of a dual U (N ) gauge theory. The microstates take the form of a coherent sum of stacks of branes and their open/closed string excitations. The strings and branes should be understood in the tensionless limit of string theory, but their indices are exact at finite N . We propose a prescription to construct the indices of string/brane configurations by analyzing the modifications of determinant operators in gauge theory. In various examples, we provide evidence that a sum, of the giant graviton-type recently proposed in the literature, over all such configurations gives the finite N gauge theory index. Finally, we discuss how these microstates assemble in the BPS Hilbert space and in what circumstances the branes can form bound states to produce black hole degeneracies.

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“…Recently, there has been a renewed interest in determinant operators in large N holographic gauge theories and their string dual description as giant gravitons [2][3][4][5][6]; the dimension of these operators is order N , which makes them ideal to probe sub-AdS physics. A natural basis for gauge invariant operators is the Schur functions, which are characters of the unitary and symmetric groups.…”

Section: Introductionmentioning

confidence: 99%

Giant gravitons, Harish-Chandra integrals, and BPS states in symplectic and orthogonal $$ \mathcal{N} $$ = 4 SYM

Adolfo

Wang

2022

J. High Energ. Phys.

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We find generating functions for half BPS correlators in $$ \mathcal{N} $$ N = 4 SYM theories with gauge groups Sp(2N), SO(2N + 1), and SO(2N) by computing the norms of a class of BPS coherent states. These coherent states are built from operators involving Harish-Chandra integrals. Such operators have an interpretation as localized giant gravitons in the bulk of anti-de-Sitter space. This extends the analysis of [1] to Sp(2N), SO(2N + 1), and SO(2N) gauge theories. We show that we may use ordinary Schur functions as a basis for the sector of states with no cross-caps in these theories. This is consistent with the construction of these theories as orientifold projections of an SU(2N) theory. We make note of some relations between the symmetric functions that appear in the expansion of these coherent states and symplectic Schur functions. We also comment on some connections to Schubert calculus and Gromov-Witten invariants, which suggest that the Harish-Chandra integral may be extended to such problems.

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Giant gravitons in twisted holography

Cited by 4 publications

References 33 publications

Exact stringy microstates from gauge theories

Exact stringy microstates from gauge theories

Exact Stringy Microstates from Gauge Theories

Giant gravitons, Harish-Chandra integrals, and BPS states in symplectic and orthogonal $$ \mathcal{N} $$ = 4 SYM

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