zbMATH — the first resource for mathematics

Some features of \((0,2)\) moduli space. (English) Zbl 0951.81061
Summary: We discuss some aspects of perturbative \((0,2)\) Calabi-Yau moduli space. In particular, we show how models with different \((0,2)\) data can meet along various sub-loci in their moduli space. In the simplest examples, the models differ by the choice of desingularization of a holomorphic \(V\)-bundle over the same resolved Calabi-Yau base while in more complicated examples, even the smooth Calabi-Yau base manifolds can be topologically distinct. These latter examples extend and clarify a previous observation which was limited to singular Calabi-Yau spaces and seem to indicate a multicritical structure in moduli space. This should have a natural F-theory counterpart in terms of the moduli space of Calabi-Yau four-folds.

81T30 String and superstring theories; other extended objects (e.g., branes) in quantum field theory
32G81 Applications of deformations of analytic structures to the sciences
14J32 Calabi-Yau manifolds (algebro-geometric aspects)
32G13 Complex-analytic moduli problems
32J81 Applications of compact analytic spaces to the sciences
Full Text: DOI arXiv
[1] Witten, E., New issues in manifolds of SU(3) holonomy, Nucl. phys. B, 268, 79, (1986)
[2] Witten, E., Phases of N = 2 theories in two dimensions, Nucl. phys. B, 403, 159, (1993), hep-th/9301042 · Zbl 0910.14020
[3] R. Friedman, J. Morgan and E. Witten, Vector Bundles and F Theory, hep-th/9701162 and references therein;; M. Bershadsky, A. Johansen, T. Pantev and V. Sadov, Four-Dimensional Compactifications of F-theory, hep-th/9701165 and references therein.
[4] Silverstein, E.; Witten, E., Criteria for conformal invariance of (0,2) models, Nucl. phys. B, 444, 161, (1995), hep-th/9503212 · Zbl 0990.81666
[5] Aspinwall, P.; Greene, B., On the geometric interpretation of N = 2 superconformal theories, Nucl. phys. B, 437, 205, (1995), hep-th/9409110 · Zbl 1052.32502
[6] Morrison, D.; Plesser, M., Summing the instantons: quantum cohomology and mirror symmetry in toric varieties, Nucl. phys. B, 440, 279, (1995), hep-th/9412236 · Zbl 0908.14014
[7] Aspinwall, P.S.; Greene, B.R.; Morrison, D.R., Calabi-Yau moduli space, mirror manifolds and space-time topology change in string theory, Nucl phys. B, 416, 414, (1994), hep-th/9309097 · Zbl 0899.32006
[8] Distler, J.; Greene, B.; Morrison, D., Resolving singularities in (0,2) models, Nucl. phys. B, 481, 289, (1996), hep-th/9605222 · Zbl 0925.14011
[9] Distler, J.; Kachru, S., Duality of (0,2) string vacua, Nucl. phys. B, 442, 64, (1995), hep-th/9501111 · Zbl 0990.81659
[10] Distler, J., Notes on (0,2) superconformal field theories, Trieste HEP cosmology, (1994), hepth/9502012
[11] Witten, E., Small instantons in string theory, Nucl. phys. B, 460, 541, (1996), hep-th/9511030 · Zbl 0935.81052
[12] Greene, B.R.; Morrison, D.R.; Vafa, C., A geometric realization of confinement, Nucl. phys. B, 481, 513, (1996), hep-th/9608039 · Zbl 0925.32006
[13] Kachru, S.; Seiberg, N.; Silverstein, E., SUSY gauge dynamics and singularities of 4d N = 1 string vacua, Nuel. phys. B, 480, 170, (1996), hep-th/9605036 · Zbl 0925.81207
[14] Distler, J.; Kachru, S., Quantum symmetries and stringy instantons, Phys. lett. B, 336, 368, (1994), hep-th /9406091
[15] T.M. Chiang, J. Distler and B.R. Greene, work in progress.
[16] R. Blumenhagen and S. Sethi, On Orbifolds of (0,2) Models, hep-th/9611172. · Zbl 0925.14014
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.