Rolling among Calabi-Yau vacua

Candelas, Philip; Green, Paul S.; Hübsch, Tristan

doi:10.1016/0550-3213(90)90302-t

Cited by 215 publications

(323 citation statements)

References 34 publications

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“…An analogous discussion for the (1,1) forms in term of a basis of H 2 (M, Z) is also possible [16], [17]. However as we have noted above, the point field theory results obtainable in this way are only a small part of the story, since they will get corrected perturbatively and by instantons.…”

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confidence: 99%

“…However as we have noted above, the point field theory results obtainable in this way are only a small part of the story, since they will get corrected perturbatively and by instantons. It is known [16], [17] that prior to receiving quantum corrections the prepotentialF 0 for the (1,1) moduli space takes the formF 0 = − 1 6 κ ijk t i t j t k , where t i (i = 1, . .…”

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confidence: 99%

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Recent efforts in the computation of string couplings

Klemm¹,

Theisen

1993

Theor Math Phys

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We review recent advances towards the computation of string couplings. Duality symmetry, mirror symmetry, Picard-Fuchs equations, etc. are some of the tools.One of the main topics of this conference was the matrix model approach to noncritical strings. There the outstanding open problem is to go above c = 1. Here we want to review some recent progress in the 'old-fashioned' formulation of critical string theory with (c,c) = (15, 26) (in the case of the heterotic string). Since the description of the space-time degrees of freedom only uses up (6, 4) units of the central charge, one uses the remaining (9, 22) to describe internal degrees of freedom (gauge symmetries). We will not discuss any of the conditions which have to be imposed on the string vacua, such as absence of tachyons, modular invariance, etc. In the class of models we will mainly be concerned with, namely Calabi-Yau compactifications [1], they are all satisfied. We will rather address the problem of how to close the gap between the formal description and classification of string vacua and their possible role in a realistic description of particle physics. Even if one finds a model with the desired particle content and gauge symmetry, one is still confronted with the problem of computing the couplings, which determine masses, mixing angles, patterns of symmetry breaking etc. These couplings will depend on the moduli of the string model, which, in the conformal field theory language, correspond to the exactly marginal operators, or, in the Calabi-Yau context, to the harmonic (1,1) and * Partially supported by the Deutsche Forschungsgemeinschaft. † Contribution to the 'International Conference on Modern Problems in Quantum Field Theorie, Strings and Quantum Gravity', Kiev, June 8-17,1992.-1-

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confidence: 99%

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confidence: 99%

Recent efforts in the computation of string couplings

Klemm¹,

Theisen

1993

Theor Math Phys

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“…including the world-sheet instanton corrections, by using the mirror symmetry [3,4,5]. A generic feature of the prepotential is that it has logarithmic singularities near the conifold locus in the moduli space of the Calabi-Yau threefold [6]. The appearance of this logarithmic singularity at the tree level remained a puzzle for some time.…”

Section: Introductionmentioning

confidence: 99%

N = 2 type II-heterotic duality and higher-derivative F-terms

Antoniadis¹,

et al. 1995

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We test the recently conjectured duality between N =2 supersymmetric type II and heterotic string models by analysing a class of higher dimensional interactions in the respective low-energy Lagrangians. These are F -terms of the form F g W 2g where W is the gravitational superfield. On the type II side these terms are generated at the g-loop level and in fact are given by topological partition functions of the twisted Calabi-Yau sigma model. We show that on the heterotic side these terms arise at the one-loop level. We study in detail a rank 3 example and show that the corresponding couplings F g satisfy the same holomorphic anomaly equations as in the type II case.Moreover we study the leading singularities of F g 's on the heterotic side, near the enhanced symmetry point and show that they are universal poles of order 2g−2 with coefficients that are given by the Euler number of the moduli space of genus-g Riemann surfaces. This confirms a recent conjecture that the physics near conifold singularity is governed by c=1 string theory at the self-dual point.

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“…II-13, II-14. These equations are of course the same as the ones derived from deformation theory of C-Y threefolds [16] .…”

Section: Picard-fuchs Equations and Determination Of The Periodsmentioning

confidence: 75%

Geometry and Quantum Symmetries of Superstring Vacua

Ferrara

1992

Physics at the Highest Energy and Luminosity

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We report on some recent progress which has been made in the understanding of general features of superstring compacti cations. The following aspects are discussed: special geometry of the moduli space of (2,2) vacua, target-space duality symmetries, di erential equations for the periods of holomorphic three-forms, and higher loop (genus) string corrections to the tree-level e ective action through target-space modular anomaly cancellations.

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Rolling among Calabi-Yau vacua

Cited by 215 publications

References 34 publications

Recent efforts in the computation of string couplings

Recent efforts in the computation of string couplings

N = 2 type II-heterotic duality and higher-derivative F-terms

Geometry and Quantum Symmetries of Superstring Vacua

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