D-branes in Liouville theory and its mirror

Israël, Dan; Pakman, Ari; Troost, Jan

doi:10.1016/j.nuclphysb.2005.01.014

Cited by 60 publications

(168 citation statements)

References 81 publications

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“…For instance there are examples of bulk N = 2 superconformal field theories with central charge c > 3 for which the unit operator does not exist when the conformal field theory is defined on a Riemann surface without boundary, while it does exist for instance on the boundary of a disc with particular boundary conditions (see e.g. [52] [16]). It is due to these kind of subtleties that it is useful to have a (partial) list of properties that we can indiscriminantly use for unitary N = 2 theories with any central charge.…”

Section: Remarksmentioning

confidence: 99%

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Non-compact Gepner models, Landau-Ginzburg orbifolds and mirror symmetry

Ashok

Benichou

Troost

2008

J. High Energy Phys.

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We study non-compact Gepner models that preserve sixteen or eight supercharges in type II string theories. In particular, we develop an orbifolded Landau-Ginzburg description of these models analogous to the Landau-Ginzburg formulation of compact Gepner models. The Landau-Ginzburg description provides an easy and direct access to the geometry of the singularity associated to the non-compact Gepner models. Using these tools, we are able to give an intuitive account of the chiral rings of the models, and of the massless moduli in particular. By studying orbifolds of the singular linear dilaton models, we describe mirror pairs of non-compact Gepner models by suitably adapting the Greene-Plesser construction of mirror pairs for the compact case. For particular models, we take a large level, low curvature limit in which we can analyze corrections to a flat space orbifold approximation of the non-compact Gepner models. This gives rise to a counting of moduli which differs from the toric counting in a subtle way.

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Section: Remarksmentioning

confidence: 99%

“…Progress has also been made for more general c = 9 theories via conformal field theory techniques [12]. In particular, the work on T-duality for the N = 2 cigar and the Liouville conformal field theories is relevant in this context [13,14,15,16].…”

Section: Introductionmentioning

confidence: 99%

Non-compact Gepner models, Landau-Ginzburg orbifolds and mirror symmetry

Ashok

Benichou

Troost

2008

J. High Energy Phys.

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“…To that end, we need aspects of boundary states in flat space, as well as boundary states in the supersymmetric cigar conformal field theory [21,22]. We add to this a careful analysis of the Ramond ground state to complete the construction of the full boundary state.…”

Section: The Boundary Statementioning

confidence: 99%

“…Finally, in the cigar sector, we read off from [25,22] (see also [26,27]) the expression for the boundary state corresponding to a point-like brane on the cigar:…”

Section: Assembling the Full Boundary Statementioning

confidence: 99%

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D-branes in non-critical superstrings and minimal super-Yang–Mills in various dimensions

Ashok

Murthy

Troost³

2006

Nuclear Physics B

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We construct and analyze D-branes in superstring theories in even dimensions less than ten. The backgrounds under study are supersymmetric R d−1,1 × SL(2, R) k /U (1) where the level of the supercoset is tuned such as to provide bona fide string theory backgrounds. pure Yang-Mills theory with minimal supersymmetry. In the case with four macroscopic flat directions d = 4, we realize an N = 1 super Yang-Mills theory, and we interpret the backreaction for the dilaton as the running of the gauge coupling, and study the relation between R-symmetry breaking in the gauge theory and the backreaction on the RR axion.

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Strings and D‐branes in holographic backgrounds

Israël

2005

Fortschritte der Physik

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We review recent progress in the study of non-rational (boundary) conformal field theories and their applications to describe exact holographic backgrounds in superstring theory. We focus mainly on the example of the supersymmetric coset SL(2, R)/U (1) , corresponding to the two-dimensional black hole, and its dual N=2 Liouville. In particular we discuss the modular properties of their characters, their partition function as well as the exact boundary states for their various D-branes. Then these results are used to construct the corresponding quantities in the CFT of the NS5-brane background, with applications to Little String Theories.From talks given in the RTN2004 meeting, Kolymbari and Joint HEP Israeli Seminar, Oct. 2004

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D-branes in Liouville theory and its mirror

Cited by 60 publications

References 81 publications

Non-compact Gepner models, Landau-Ginzburg orbifolds and mirror symmetry

Non-compact Gepner models, Landau-Ginzburg orbifolds and mirror symmetry

D-branes in non-critical superstrings and minimal super-Yang–Mills in various dimensions

Strings and D‐branes in holographic backgrounds

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