The ZZ annulus one-point function in non-critical string theory: A string field theory analysis

Eniceicu, Dan Stefan; Mahajan, Raghu; Maity, Pronobesh; Murdia, Chitraang; Sen, Ashoke

doi:10.1007/jhep12(2022)151

Cited by 14 publications

(8 citation statements)

References 44 publications

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“…This was recently considered for the minimal string [168]. Furthermore, it would be interesting to study sub-leading corrections in g s at a given instanton configuration coming from worldsheet diagrams at higher open string loop level, as depicted in (8.16), which would require a more systematic string field theory analysis [14,20,169].…”

Section: Non-analytic Virasoro Minimal Stringmentioning

confidence: 99%

“…String theories with a low number of target spacetime dimensions have proven to be valuable laboratories for understanding fundamental aspects of string theory. Rich phenomena such as holographic duality (for reviews, see [1][2][3][4][5][6][7]), non-perturbative effects mediated by Dinstantons [8][9][10][11][12][13][14][15][16][17][18][19][20], and time-dependent stringy dynamics such as rolling tachyons [21][22][23][24], persist in low-dimensional string theories yet remain more computationally tractable than in their higher-dimensional counterparts.…”

Section: Introduction and Summary 1 Introductionmentioning

confidence: 99%

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The Virasoro minimal string

Collier,

Eberhardt,

Mühlmann

et al. 2024

SciPost Phys.

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We introduce a critical string theory in two dimensions and demonstrate that this theory, viewed as two-dimensional quantum gravity on the worldsheet, is equivalent to a double-scaled matrix integral. The worldsheet theory consists of Liouville CFT with central charge c≥≥ 25 coupled to timelike Liouville CFT with central charge 26-c. The double-scaled matrix integral has as its leading density of states the universal Cardy density of primaries in a two-dimensional CFT, thus motivating the name Virasoro minimal string. The duality holds for any value of the continuous parameter cc and reduces to the JT gravity/matrix integral duality in the large central charge limit. It thus provides a precise stringy realization of JT gravity. The main observables of the Virasoro minimal string are quantum analogues of the Weil-Petersson volumes, which are computed as absolutely convergent integrals of worldsheet CFT correlators over the moduli space of Riemann surfaces. By exploiting a relation of the Virasoro minimal string to three-dimensional gravity and intersection theory on the moduli space of Riemann surfaces, we are able to give a direct derivation of the duality. We provide many checks, such as explicit numerical - and in special cases, analytic - integration of string diagrams, the identification of the CFT boundary conditions with asymptotic boundaries of the two-dimensional spacetime, and the matching between the leading non-perturbative corrections of the worldsheet theory and the matrix integral. As a byproduct, we discover natural conformal boundary conditions for timelike Liouville CFT.

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Section: Non-analytic Virasoro Minimal Stringmentioning

confidence: 99%

Section: Introduction and Summary 1 Introductionmentioning

confidence: 99%

The Virasoro minimal string

Collier,

Eberhardt,

Mühlmann

et al. 2024

SciPost Phys.

View full text Add to dashboard Cite

show abstract

“…While our discussion in this work primarily focused on string perturbation theory, it is important to note that SFT has demonstrated remarkable power in the recent exploration of non-perturbative D-instanton effects [63,64,[101][102][103][104][105][106][107][108][109][110][111][112]. The suitability of SFT for Dinstantons arises from its ability to systematically integrate out open string fields on the D-instanton, resulting in the effective field theory for the dynamic closed string fields.…”

Section: Discussionmentioning

confidence: 99%

A worldsheet description of flux compactifications

Cho,

Kim

2024

J. High Energ. Phys.

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We demonstrate how recent developments in string field theory provide a framework to systematically study type II flux compactifications with non-trivial Ramond-Ramond profiles. We present an explicit example where physical observables can be computed order by order in a small parameter which can be effectively viewed as string coupling constant. We obtain the corresponding background solution of the string field equations of motions up to the second order in the expansion. Along the way, we show how the tadpole cancellations of the string field equations lead to the minimization of the F-term potential of the low energy supergravity description. String field action expanded around the obtained background solution furnishes a “worldsheet” description of the flux compactifications.

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“…Spacetime can be thought of as emergent from the continuum of eigenvalues at large N and locality can be probed by the entanglement between the eigenvalues [55][56][57], as we will demonstrate. The worldsheet description present in minimal and 2D string theories allows for a detailed study of non-perturbative effects [41,42,44,[58][59][60][61][62][63][64][65] and their matching to the matrix model. Understanding the relation between JT gravity and two-dimensional string theory at the level of the dual matrix models motivates a new consideration of matrix quantum mechanics.…”

Section: Motivationmentioning

confidence: 99%

Ensemble averaging in JT gravity from entanglement in Matrix Quantum Mechanics

Ubaldo¹,

Policastro²

2023

Preprint

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We consider the generalization of a matrix integral with arbitrary spectral curve ρ 0 (E) to a 0+1D theory of matrix quantum mechanics (MQM). Using recent techniques for 1D quantum systems at large-N , we formulate a hydrodynamical effective theory for the eigenvalues. The result is a simple 2D free boson BCFT on a curved background, describing the quantum fluctuations of the eigenvalues around ρ 0 (E), which is now the large-N limit of the quantum expectation value of the eigenvalue density operator ρ(E). The average over the ensemble of random matrices becomes a quantum expectation value. Equal-time density correlations reproduce the results (including non-perturbative corrections) of random matrix theory. This suggests an interpretation of JT gravity as dual to a one-time-point reduction of MQM. As an application, we compute the Rényi entropy associated to a bipartition of the eigenvalues. We match a previous result by Hartnoll and Mazenc for the c = 1 matrix model dual to two-dimensional string theory and extend it to arbitrary ρ 0 (E). The hydrodynamical theory provides a clear picture of the emergence of spacetime in two dimensional string theory. The entropy is naturally finite and displays a large amount of short range entanglement, proportional to the microcanonical entropy. We also compute the reduced density matrix for a subset of n < N eigenvalues.

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The ZZ annulus one-point function in non-critical string theory: A string field theory analysis

Cited by 14 publications

References 44 publications

The Virasoro minimal string

The Virasoro minimal string

A worldsheet description of flux compactifications

Ensemble averaging in JT gravity from entanglement in Matrix Quantum Mechanics

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