Words to describe a black hole

Chang, Chi‐Ming; Lin, Ying-Hsuan

doi:10.1007/jhep02(2023)109

Cited by 12 publications

(22 citation statements)

References 77 publications

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“…How does the bulk radial coordinate emerge at finite λ? It would also be nice to understand the recent progress in 1 16 -BPS states at weak coupling [49][50][51][52][53] using tools presented in this work. 4.…”

Section: Discussionmentioning

confidence: 99%

Trace relations and open string vacua

Lee

2024

J. High Energ. Phys.

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We study to what extent, and in what form, the notion of gauge-string duality may persist at finite N. It is shown, in the half-BPS sector, that the states of D3 giant graviton branes in AdS5 × S5 are holographically dual to certain auxiliary ghosts that compensate for finite N trace relations in U(N) $$ \mathcal{N} $$ N = 4 super Yang-Mills. The complex formed from spaces of states of bulk D3 giants is observed to furnish a BRST-like resolution of the half-BPS Hilbert space of U(N) $$ \mathcal{N} $$ N = 4 SYM at finite N. We argue that the identification between the states of certain bulk D-branes and the auxiliary ghosts in the boundary holds rather generally at vanishing ’t Hooft coupling λ = 0. We propose that a complex, which furnishes a BRST-like resolution of the finite N Hilbert space of a boundary U(N) gauge theory at λ = 0, should be identified as the space of states of the dual string theory in the α′ → ∞ limit. The Lefschetz trace formula provides the holographic map in this regime, where bulk observables are computed by taking the alternating sum of the expectation values in an ensemble of states built on each open string vacuum. The giant graviton expansion is recovered and generalized in a limit of the resolution.

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Section: Discussionmentioning

confidence: 99%

Trace relations and open string vacua

Lee

2024

J. High Energ. Phys.

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“…One of the more interesting generalizations would be to the case of 1 16 BPS operators. By now, there is ample evidence that there exists a class of 1 16 BPS operators describing the microstates of supersymmetric black holes in AdS 5 × S 5 [36][37][38][39]. Recently, there have been some studies of these types of states for small values of N [40,41]; see [42] for a more general discussion.…”

Section: Discussionmentioning

confidence: 99%

“…where Ψ(z, θ) is the C 2|3 superfield discussed in [38,43], and Φ is an auxiliary superfield of coherent state parameters. The combined effect of the exponentiation and integration…”

Section: Discussionmentioning

confidence: 99%

Multi-matrix correlators and localization

Holguin,

Wang,

Wang

2024

J. High Energ. Phys.

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We study generating functions of $$ \frac{1}{4} $$ 1 4 -BPS states in $$ \mathcal{N} $$ N = 4 super Yang-Mills at finite N by attempting to generalize the Harish-Chandra-Itzykson-Zuber integral to multiple commuting matrices. This allows us to compute the overlaps of two or more generating functions; such calculations arise in the computation of two-point correlators in the free-field limit. We discuss the four-matrix HCIZ integral in the U(2) context and lay out a prescription for finding a more general formula for N > 2. We then discuss its connections with the restricted Schur polynomial operator basis. Our results generalize readily to arbitrary numbers of matrices, opening up the opportunity to study more generic BPS operators.

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“…One can embrace more refined studies of supersymmetric states, going beyond indiscriminate counting. Pursuit in this direction was attempted by [8][9][10][11][12][13], and achieved a recent breakthrough by [14] in constructing a first candidate black hole (non-graviton) microstate (in the cohomological sense). Generalizations and further progress were made in [15][16][17].…”

Section: Introductionmentioning

confidence: 99%

“…The cohomologies corresponding to gravitons are fully recognized and can be completely separated from the rest [13]. It has been conjectured [11] and perturbatively proven [14] that away from the free point g YM = 0, the spectrum of supersymmetric states (captured by the dimensions of the Q-cohomologies) does not depend on the g YM . In [14], an extensive enumeration of cohomology classes at weak coupling, extending to high energies and charge ranges, unveiled the first non-graviton cohomology for gauge group SU (2).…”

Section: Introductionmentioning

confidence: 99%

Decoding stringy near-supersymmetric black holes

Chang,

Feng,

Lin

et al. 2024

SciPost Phys.

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Building on the recent discovery of the first candidate black hole operator in the \mathcal{N}=4𝒩=4 super-Yang-Mills, we explore the near-supersymmetric aspects of the theory that capture lightly excited, highly stringy black holes. We extend the superspace formalism describing the classically supersymmetric (1/16-BPS) sector of \mathcal{N}=4𝒩=4 super-Yang-Mills and compute a large number of one-loop anomalous dimensions. Despite being in the highly stringy regime, we find hints of a gap in the spectrum, similar to that found by a gravitational path integral. We also determine the actual expression of the first candidate black hole operator at weak gauge coupling, going beyond the cohomological construction.

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Words to describe a black hole

Cited by 12 publications

References 77 publications

Trace relations and open string vacua

Trace relations and open string vacua

Multi-matrix correlators and localization

Decoding stringy near-supersymmetric black holes

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