Notes on quantum Liouville theory and quantum gravity

By N. Seiberg. 2013

579 citations recorded by the source corpus.

Subfields: Mathematical Physics, Nuclear and High Energy Physics, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/706269d100c7e5fd420548b41b571390af45fe3a

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Citations in the corpus

Three-dimensional Bondi-Metzner-Sachs invariant two-dimensional field theories as the flat limit of Liouville theory (2012, unknown): “[1, 2, 3] for reviews).”
The tachyon at the end of the universe (2005, methodology): “Following [35,15], let us compute first the quantity ∂Z1/∂μ and perform the path integral by doing the integral over the X zero modes first.”
Boundary Liouville Field Theory I. Boundary State and Boundary Two-point Function (2000, background): “In particular, we present exact expectation values of the boundary operators in the boundary sin-Gordon model.”
Liouville Field Theory — A decade after the revolution (2004, methodology): “3 Semiclassical Liouville Theory In this section, we quantize the Liouville theory semiclassically [36], [1], [37], [11] (See [38, 39], [40] for other quantization approaches.”
Multi-Trace Operators, Boundary Conditions, And AdS/CFT Correspondence (2001, methodology): “Since the observable quantity φ of the bulk theory must be independent of the quantity µ that was introduced in defining α and β (or alternatively, it must be independent of the renormalization procedure used on the boundary), we want β0(f0 ln(Λr) + 1) = β(f ln(µr) + 1).”
Liouville action as path-integral complexity: from continuous tensor networks to AdS/CFT (2017, background): “It is known that the (chiral) conformal dimension h of any local operators in Liouville theory has an upper bound (so called Seiberg bound [52]): h ≤ c− 1 24 , (9.”
Duality of the Fermionic 2d Black Hole and N = 2 Liouville Theory as Mirror Symmetry (2001, background): “The mirror dual of anN = 2 supersymmetric non-linear sigma-model on a toric variety has been derived in [1] by realizing the model as the low energy limit of a gauged linear sigma-model [2], and dualizing the phases of charged scalar fields.”
JT gravity as a matrix integral (2019, unknown): “30For reviews see [102, 38].”
Strings from Tachyons (2003, unknown): “a throat) in their neighborhood [23][24].”
A matrix model dual of type 0B string theory in two dimensions (2003, background): “The field content in NSNS sector consists only of the ‘tachyon field’ Tcl, which becomes massless due to Liouville dressing (for a review of quantum Lioville theory see [41, 42]).”
Strings in AdS_3 and the SL(2,R) WZW Model. Part 3: Correlation Functions (2001, unknown): “It has close connections to the Liouville theory of two-dimensional gravity (for a review, see for example, [3]) and three-dimensional Einstein gravity [4].”
Analytic continuation of Liouville theory (2011, background): “There actually is one specific region of complex ηi – the case that Re ηi = 1/2 and Im ηi > 0, so that the external states are normalizable states in the sense of [8] – in (1)When heavy operators are present, they add delta function terms in (1.”
Coadjoint orbit action of Virasoro group and two-dimensional quantum gravity dual to SYK/tensor models (2017, methodology): “(9) then becomes the same as Liouville equation of motion (see below for detail), 2̂φ = R̂+ 8πμe (12) which has the general solution [45, 46],”
Liouville Quantum Gravity on the Riemann Sphere (2014, background): “8) We will establish that the whole partition function makes sense if and only if the weights (αi)i satisfy the so-called Seiberg bounds [50] ∑”