FZZT branes in JT gravity and topological gravity

Abstract

We study Fateev-Zamolodchikov-Zamolodchikov-Teschner (FZZT) branes in Witten-Kontsevich topological gravity, which includes Jackiw-Teitelboim (JT) gravity as a special case. Adding FZZT branes to topological gravity corresponds to inserting determinant operators in the dual matrix integral and amounts to a certain shift of the infinitely many couplings of topological gravity. We clarify the perturbative interpretation of adding FZZT branes in the genus expansion of topological gravity in terms of a simple boundary factor and the generalized Weil-Petersson volumes. As a concrete illustration we study JT gravity in the presence of FZZT branes and discuss its relation to the deformations of the dilaton potential that give rise to conical defects. We then construct a non-perturbative formulation of FZZT branes and derive a closed expression for the general correlation function of multiple FZZT branes and multiple macroscopic loops. As an application we study the FZZT-macroscopic loop correlators in the Airy case. We observe numerically a void in the eigenvalue density due to the eigenvalue repulsion induced by FZZT-branes and also the oscillatory behavior of the spectral form factor which is expected from the picture of eigenbranes.

arXiv comment44 pages, v2: a reference added, published version

References in corpus (23)

• Fermionic Localization of the Schwarzian Theory
• Integrability and Matrix Models
• Branes, Rings and Matrix Models in Minimal (Super)string Theory
• The path integral of 3D gravity near extremality; or, JT gravity with defects as a matrix integral
• Combinatorics of the Modular Group II: the Kontsevich integrals
• Characteristic polynomials of random matrices
• A paradigm of open/closed duality: Liouville D-branes and the Kontsevich model
• Products and Ratios of Characteristic Polynomials of Random Hermitian Matrices
• Liouville quantum gravity -- holography, JT and matrices
• Exact vs. Semiclassical Target Space of the Minimal String
• Defects in Jackiw-Teitelboim Quantum Gravity
• Developments in Topological Gravity
• An exact formula for general spectral correlation function of random Hermitian matrices
• JT gravity, KdV equations and macroscopic loop operators
• Universal Results for Correlations of Characteristic Polynomials: Riemann-Hilbert Approach
• Minimal String Theory
• Eigenbranes in Jackiw-Teitelboim gravity
• Correlation functions of the KdV hierarchy and applications to intersection numbers over ${\overline{\mathcal{M}}}_{g,n}$
• Classifying boundary conditions in JT gravity: from energy-branes to $\alpha$-branes
• Annulus Amplitudes and ZZ Branes in Minimal String Theory
• Solving Puzzles in Deformed JT Gravity: Phase Transitions and Non-Perturbative Effects
• Connected correlator of 1/2 BPS Wilson loops in $\mathcal{N}=4$ SYM
• JT supergravity and Brezin-Gross-Witten tau-function

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• The dilaton gravity hologram of double-scaled SYK
• Page curve from dynamical branes in JT gravity
• Constraining Weil-Petersson volumes by universal random matrix correlations in low-dimensional quantum gravity
• Gravity without averaging
• Complexity via Replica Trick
• On the saturation of late-time growth of complexity in supersymmetric JT gravity
• Replica Wormholes from Liouville Theory
• Factorizing Wormholes in a Partially Disorder-Averaged SYK Model
• Baby universes in 2d and 4d theories of quantum gravity
• Quantum chaos in 2D gravity