Noncompact Gepner models with discrete spectra

Yamaguchi, Satoshi

doi:10.1016/s0370-2693(01)00396-3

Cited by 12 publications

(6 citation statements)

References 20 publications

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“…For the parent SL(2, R) conformal field theory, the construction was done in [51,52,53,55,56,57], with applications to AdS 3 string theory [58,59,60,61]. For the coset theory a similar construction should be possible [54,55], and should yield information on D-branes in NS5-brane backgrounds (see e.g. [62,63]).…”

Section: Discussionmentioning

confidence: 99%

The Partition Function of the Two-Dimensional Black Hole Conformal Field Theory

Hanany¹,

Prezas²,

Troost³

2002

J. High Energy Phys.

103

228

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We compute the partition function of the conformal field theory on the twodimensional euclidean black hole background using path-integral techniques. We show that the resulting spectrum is consistent with the algebraic expectations for the SL(2, R)/U (1) coset conformal field theory construction. In particular, we find confirmation for the bound on the spin of the discrete representations and we determine the density of the continuous representations. We point out the relevance of the partition function to all string theory backgrounds that include an SL(2, R)/U (1) coset factor.

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Section: Discussionmentioning

confidence: 99%

The Partition Function of the Two-Dimensional Black Hole Conformal Field Theory

Hanany¹,

Prezas²,

Troost³

2002

J. High Energy Phys.

103

228

View full text Add to dashboard Cite

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“…We have shown that the Gepner model includes the so (8) We apply the same procedure to the models of [9,12] in the next section.…”

Section: Compact Gepner Modelsmentioning

confidence: 99%

“…In the noncompact theory, besides the continuous part of the spectrum which we treat in previous subsections, there is the discrete part of the spectrum. In this subsection, we consider the discrete part of the spectrum of ALE models [12].…”

Section: The Discrete Part Of the Ale Compactificationsmentioning

confidence: 99%

“…In this paper, we consider the noncompact Gepner models [7][8][9][10][11][12]. The partition functions of the models in [7,8,10,11] have been already shown to vanish in each paper.…”

Section: Introductionmentioning

confidence: 99%

“…The partition functions of the models in [7,8,10,11] have been already shown to vanish in each paper. But, the models in [9,12] have not yet been shown to have vanishing partition functions. In this paper, we show these partition functions actually vanish because of the character identity (1.1).…”

Section: Introductionmentioning

confidence: 99%

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Coset Character Identities in Superstring Compactifications

Yamaguchi¹

2002

J. High Energy Phys.

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We apply the coset character identities (generalization of Jacobi's abstruse identity) to compact and noncompact Gepner models. In the both cases, we prove that the partition function actually vanishes due to the spacetime supersymmetry. In the case of the compact models and discrete parts of the noncompact models, the partition function includes the expected vanishing factor. But the character identities used to the continuous part of the noncompact models suggest that these models have twice as many supersymmetry as expected. This fact is an evidence for the conjecture that the holographically dual of the string theory on an actually singular Calabi-Yau manifold is a super conformal field theory. The extra SUSY charges are interpreted as the superconformal S generators.

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Supercoset CFTs for string theories on non-compact special holonomy manifolds

Sugawara

Yamaguchi

2003

Nuclear Physics B

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We study aspects of superstring vacua of non-compact special holonomy manifolds with conical singularities constructed systematically using soluble N = 1 superconformal field theories (SCFT's). It is known that Einstein homogeneous spaces G/H generate Ricci flat manifolds with special holonomies on their cones ≃ R + × G/H, when they are endowed with appropriate geometrical structures, namely, the Sasaki-Einstein, triSasakian, nearly Kähler, and weak G 2 structures for SU(n), Sp(n), G 2 , and Spin (7) holonomies, respectively. Motivated by this fact, we consider the string vacua of the type:where we use the affine Lie algebras of G and H in order to capture the geometry associated to an Einstein homogeneous space G/H. Remarkably, we find the same number of spacetime and worldsheet SUSY's in our "CFT cone" construction as expected from the analysis of geometrical cones over G/H in many examples. We also present an analysis on the possible Liouville potential terms (cosmological constant type operators) which provide the marginal deformations resolving the conical singularities.

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Noncompact Gepner models with discrete spectra

Cited by 12 publications

References 20 publications

The Partition Function of the Two-Dimensional Black Hole Conformal Field Theory

The Partition Function of the Two-Dimensional Black Hole Conformal Field Theory

Coset Character Identities in Superstring Compactifications

Supercoset CFTs for string theories on non-compact special holonomy manifolds

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