Liouville field theory on a pseudosphere

By A. Zamolodchikov, A. Zamolodchikov. 2001

326 citations recorded by the source corpus.

View Paper: https://www.semanticscholar.org/paper/d4b6c8a43bde5b952b26a60e0d4a43d7f6090587

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Citations in the corpus

• Nonperturbative Effects and the Large-Order Behavior of Matrix Models and Topological Strings (2007, background): “n the double–scaling limit, via a solution to the so–called string equation. In the dual string theory, these effects were later identified as D–instanton effects [10, 11] due to the so–called ZZ branes [12], and it was shown in [10, 13] that a direct D–brane calculation reproduces the instanton action”
• A matrix model dual of type 0B string theory in two dimensions (2003, methodology): “The D0-branes are described by the (1,1) type degenerate boundary state as argued in [5, 6, 45 , 46].”
• Liouville Field Theory — A decade after the revolution (2004, methodology): “2 ZZ Brane: D0-Brane Zamolodchikov brothers showed [3] that in the Liouville theory there exists a D0-brane which is localized in the Liouville direction.”
• Borel and Stokes Nonperturbative Phenomena in Topological String Theory and c = 1 Matrix Models (2009, background): “ring requirement that the total central charge of Liouville theory plus minimal matter equals c = 26 eventually fixes b = q p q. There are two distinct types of boundary conditions in Liouville theory [63, 64]. There is a one–parameter family of Neumann boundary conditions, the so–called FZZT branes,”
• D-brane Decay in Two-Dimensional String Theory (2003, methodology): “Localized D-branes in Liouville – D0-branes There is a second class of Liouville theory D-branes that were considered in [36].”
• The Annular Report on Non-Critical String Theory (2003, methodology): “It was demonstrated in [24] that the transform to the open string channel of the annulus partition function ZL(m,n|m, n′) = ∫”
• Classical and quantum D-branes in 2D string theory (2003, background): “19) have the remarkable property that the spectrum of Liouville theory on the strip with boundary conditions corresponding to |BZZ〉 on both sides contains the Virasoro representation of the identity only [17].”
• JT gravity as a matrix integral (2019, background): “In the Liouville-minimal string context these effects have been connected to two types of branes, ZZ branes and FZZT branes [47, 48, 49, 50, 51, 52, 53, 54, 55, 53, 40].”
• Geometrical interpretation of D-branes in gauged WZW models (2001, background): “It is interesting to note that the B branes of Liouville theory might be related to the construction in [39], which seems to be somehow localized in the Liouville direction.”
• Exact vs. semiclassical target space of the minimal string (2004, unknown): “By thinking of the target space as the moduli space of FZZT branes, parametrized by the boundary cosmological constant x, we see that classically it consists of a Riemann surface Mp,q which is a p-sheeted cover of the complex x plane.”
• The tachyon at the end of the universe (2005, background): “We note that in the spacelike Liouville theory, the ZZ-brane [37] is localized under the tachyon barrier, and has a paucity of degrees of freedom.”
• The virtue of defects in 4D gauge theories and 2D CFTs (2010, methodology): “4) the following modular matrices can be derived [28] S(r,s)α = −2 √ 2i sin(2πar/b) sin(2πasb) (3.”
• The bootstrap program for boundary CFTd (2012, unknown): “The two-point function from [38] takes the form: Gσσ(ξ) = 2 sin (π 6 (1 + 4∆σ) ) ξσ(1 + ξ)−(∆σ+1)/3 × 2F1 ( 1− 2∆σ 3 , 2 + 2∆σ 3 ; 2− 4∆σ 3 ; 1 ξ + 1 )”
• Strings from Tachyons (2003, unknown): “To obtain a bit more insight into the structure of the boundary state |Bs〉 it is instructive to introduce a boundary state with fixed length equal to ℓ via |Bs〉 = ∫ dℓ ℓ e−ℓ √ µ cosh(πs) |W (ℓ)〉 (21) The overlap of this new boundary state |W (ℓ)〉 with the momentum eigenstate |vP 〉 takes the form W…”
• The Schwarzian theory — origins (2018, methodology): “In [27] we provided a prescription for computing Schwarzian correlators through 2d Liouville theory on a cylindrical surface between two ZZ-branes.”