REVIEW 26 cited by
Structure Constants and Conformal Bootstrap in Liouville Field Theory
Not yet reviewed by Pith; the record is open.
This paper has not been read by Pith yet. Machine review is queued; the pith claim, tier, and objections will appear here once it completes.
SPECIMEN: schema-true, not a live event
T0 review · schema-true
One-sentence machine reading of the paper's core claim.
pith:XXXXXXXX · record.json · timestamp
read the original abstract
An analytic expression is proposed for the three-point function of the exponential fields in the Liouville field theory on a sphere. In the classical limit it coincides with what the classical Liouville theory predicts. Using this function as the structure constant of the operator algebra we construct the four-point function of the exponential fields and verify numerically that it satisfies the conformal bootstrap equations, i.e., that the operator algebra thus defined is associative. We consider also the Liouville reflection amplitude which follows explicitly from the structure constants.
Forward citations
Cited by 26 Pith papers
-
Spectral determinants of the Bolza surface and the Klein quartic
Closed-form formulas for the Laplacian spectral determinants of the Bolza surface and the Klein quartic are derived, along with a proof that quasiplatonic hyperbolic surfaces are critical points of the determinant.
-
Toward the Structure Constants of $\mathcal{N}=2$ Liouville Theory
N=2 Liouville structure constants are proposed via mirror symmetry to the SL(2)_k/U(1) supercoset, with angular-momentum-violating sectors given explicitly and tested semiclassically to leading loop order.
-
Virasoro OPE and Conformal Blocks from the Inverse Shapovalov Form
A new explicit level-by-level series for four-point Virasoro conformal blocks on the sphere, with coefficients fixed by singular-vector weights, differing from Zamolodchikov recursion and AGT forms.
-
Blowing-up the edge: connection formulae and stability chart of the Lam\'e equation
The paper derives the resummed Nekrasov-Shatashvili free energy from blow-up equations and uses it to compute the band-gap structure, connection formulas, and stability chart of the Lamé equation.
-
Holographic entanglement entropy with conformal boundary conditions
In AdS3 with conformal boundary conditions, holographic entanglement entropy is still the minimal-surface area over 4G_N, and the dual Liouville plus T Tbar theory gives entropy governed by the effective central charge c_eff.
-
Aspects of Closed Matricial Worlds
Higher-genus corrections to the 2D de Sitter disk path integral follow a universal structure that at large boundary length mimics topological gravity, with new explicit expressions through genus six.
-
The Runkel-Watts string
The Runkel-Watts string is a solvable family of two-dimensional string theories whose all-genus amplitudes are generated by SU(2) Yang-Mills TQFT data combined with VMS quantum volumes, and it has a dual matrix-integr...
-
Leading UV Formula for Finite-Volume Vertex Operator Expectation Values in the Sine-Gordon Model from Kink NLIE
Conjectures and numerically verifies a leading UV asymptotic formula for finite-volume vertex operator VEVs in the sine-Gordon model from kink NLIE, matching complex Liouville CFT results to 19 digits.
-
Bremsstrahlung function in $\mathcal{N}=2$ SCFTs far beyond the supergravity limit
Exact large-N and strong-coupling results for Bremsstrahlung function in E-theory and D-theory N=2 SCFTs via matrix models, with closed-form non-perturbative contributions.
-
The many facets of a hyperbolic tetrahedron: open and closed triangulations of 3d gravity
Open Virasoro TQFT equals fixed-length/angle 3d gravity path integrals on compact regions and yields the CTV–scalar Virasoro relation via open-closed duality.
-
Fluid dynamics as intersection problem
Fluid dynamics is formulated as an intersection problem on a symplectic manifold associated with spacetime, yielding a geometric derivation of covariant hydrodynamics and extensions to multicomponent and anomalous fluids.
-
Quantum Liouville Cosmology
Timelike Liouville disk path integrals in fixed K-representation produce Hartle-Hawking-like states, a conjecture for all-loop wavefunctions, and a K-independent inner product for 2D quantum cosmology.
-
On random matrix statistics of 3d gravity
3d gravity on Σ_{g,n} × I with EOW branes equals the Virasoro minimal string random matrix model, with exact match for g=0 n=2 and inner-product formulation for negative Euler characteristic.
-
Black Hole Entropy from String Entanglement
String entanglement entropy between folded strings in the sine-Liouville CFT, computed via worldsheet replica trick, accounts for black-hole thermal entropy, with the vertex-operator part matching exactly in the low-t...
-
Resurgence for large $c$ expansion in Coulomb gas formalism
The two conformal blocks of the phi21 four-point function are each other's Stokes corrections in the large-C expansion, and their z-monodromy is governed by alien calculus in the Borel plane.
-
Statistics in 3d gravity from knots and links
Fragmentation of knots and links by Wilson lines builds wormhole amplitudes that give non-perturbative Gaussian and non-Gaussian corrections to OPE statistics in 3d gravity and CFT2.
-
Timelike Liouville theory and AdS$_3$ gravity at finite cutoff
Proposes that AdS3 gravity at finite cutoff is dual to a CFT2 coupled to timelike Liouville theory deformed by a marginal operator, with checks via semiclassical partition functions and EOM matching.
-
$T\bar{T}$-deformed correlators from a 2D gravity description
Using a massive gravity formulation, the paper derives all-order leading-logarithmic T-bar-T corrections to two- and three-point CFT correlators, reproducing the known two-point result and obtaining a new closed form ...
-
$x-y$ swap for $(2,2p+1)$ minimal string
An x-y swapped spectral curve is conjectured to reproduce (2,2p+1) minimal string tachyon correlators without resonance transformations; verified at low genus, with a ground-ring extension that does not match HEM.
-
Mixed Solutions to the Liouville Equation
Explicit mixed-monodromy Liouville solutions are constructed and their large-hyperbolic limits are used to describe time-symmetric slices of 2+1 gravity with particles and black holes.
-
It from ETH: Multi-interval Entanglement and Replica Wormholes from Large-$c$ BCFT Ensemble
The RT formula for entanglement in AdS3/CFT2, including phase transitions and multi-interval vacuum entropies, is derived from an assumed large-c ensemble of (B)CFT data, under the 'It from ETH' paradigm.
-
$\mathcal{N}=2$ Liouville SCFT in Four Dimensions
Constructs an N=2 Liouville SCFT in 4D, shows no quantum correction to the classical background charge, finds c=0 and negative a depending on the charge, and derives integral expressions for superfield vertex operator...
-
Pre-Strings Lectures on Artificial Intelligence
Lecture notes define neural-network field theory and survey how it recovers known QFT/string results plus applied AI techniques for string problems.
-
Towards $W_3$ classical blocks with semi-degenerate operators
Explicit heavy-light accessory parameters and classical W3 blocks are obtained for 4-point blocks with level-1 and level-2 semi-degenerate operators, including one non-identity intermediate channel.
-
Recursive relations for the S-matrix of Liouville theory
The Liouville S-matrix normal symbol for discrete momenta p=iℏN is derived from recursive equations and matches the authors' earlier contour-integral representation.
-
Lecture notes on strings in AdS$_3$ from the worldsheet and the AdS$_3$/CFT$_2$ duality
Lecture notes deliver a self-contained pedagogical overview of worldsheet strings in AdS3 with NSNS flux, summarizing 25 years of results with emphasis on spectrally flowed correlation functions.
Discussion (0). Sign in to comment.