Pfaffians, superpotentials and vector bundle moduli

Burt A. Ovrut

doi:10.1016/S1631-0705(03)00037-9

Extra dimensions in physics and astrophysics/Dimensions supplémentaires/en physique et astrophysique

Pfaffians, superpotentials and vector bundle moduli
[Pfaffiens, superpotentiels et modules des fibrés vectoriels]

Présenté par : Guy Laval

Burt A. Ovrut ¹

¹ Department of Physics, University of Pennsylvania, Philadelphia, PA 19104-6396, USA

Comptes Rendus. Physique, Volume 4 (2003) no. 3, pp. 393-404.

Résumé
Abstract

Nous présentons une méthode pour calculer explicitement les superpotentiels non-perturbatifs associés aux modules d'un fibré vectoriel dans les cordes hétérotiques et la M-théorie. Cette méthode est applicable à n'importe quel fibré vectoriel stable et holomorphe d'une variété Calabi–Yau de dimension complexe trois elliptiquement fibrée. Les superpotentials des modules des fibrés vectoriels ont d'importantes implications potentielles pour les petits instantons de transitions de phase et la stabilité du vide et cosmologie des supercordes et M-théorie.

We present a method for explicitly computing the non-perturbative superpotentials associated with the vector bundle moduli in heterotic superstrings and M-theory. This method is applicable to any stable, holomorphic vector bundle over an elliptically fibered Calabi–Yau threefold. Superpotentials of vector bundle moduli potentially have important implications for small instanton phase transitions and the vacuum stability and cosmology of superstrings and M-theory.

Publié le : 2003-04-01

DOI : 10.1016/S1631-0705(03)00037-9

Affiliations des auteurs :

Burt A. Ovrut ¹

¹ Department of Physics, University of Pennsylvania, Philadelphia, PA 19104-6396, USA

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Burt A. Ovrut. Pfaffians, superpotentials and vector bundle moduli. Comptes Rendus. Physique, Volume 4 (2003) no. 3, pp. 393-404. doi : 10.1016/S1631-0705(03)00037-9. https://comptes-rendus.academie-sciences.fr/physique/articles/10.1016/S1631-0705(03)00037-9/

Bibliographie
Cité par

[1] M. Dine; N. Seiberg; X.G. Wen; E. Witten Non-perturbative effects on the string worldsheet, Nucl. Phys. B, Volume 278 (1986), p. 768

[2] M. Dine; N. Seiberg; X.G. Wen; E. Witten Non-perturbative effects on the string worldsheet, 2, Nucl. Phys. B, Volume 289 (1987), p. 319

[3] E. Witten Non-perturbative superpotentials in string theory, Nucl. Phys. B, Volume 474 (1996), pp. 343-360

[4] K. Becker; M. Becker; A. Strominger Fivebranes, membranes and non-perturbative string theory, Nucl. Phys. B, Volume 456 (1995), p. 130

[5] R. Donagi; A. Grassi; E. Witten A non-perturbative superpotential with E₈ symmetry, Mod. Phys. Lett. A, Volume 11 (1996), pp. 2199-2212

[6] E. Witten World-sheet corrections via D-instantons, JHEP, Volume 0002 (2000), p. 030

[7] J.A. Harvey; G. Moore | arXiv

[8] E. Lima; B.A. Ovrut; J. Park; R. Reinbacher Non-perturbative superpotentials from membrane instantons in heterotic M-theory, Nucl. Phys. B, Volume 614 (2001), pp. 117-170

[9] E. Lima; B.A. Ovrut; J. Park Five-brane superpotentials in heterotic M-theory, Nucl. Phys. B, Volume 626 (2002), pp. 113-164

[10] E.I. Buchbinder; R. Donagi; B.A. Ovrut Vector bundle moduli and small instanton transitions | arXiv

[11] E.I. Buchbinder; R. Donagi; B.A. Ovrut Superpotentials for vector bundle moduli | arXiv

[12] E.I. Buchbinder; R. Donagi; B.A. Ovrut Vector bundle moduli superpotentials in heterotic superstrings and M-theory | arXiv

[13] G. Curio; A. Krause G-fluxes and non-perturbative stabilisation of heterotic M-theory | arXiv

[14] G. Moore; G. Peradze; N. Saulina Instabilities in heterotic M-theory induced by open membrane instantons, Nucl. Phys. B, Volume 607 (2001), pp. 117-154

[15] A. Lukas; B.A. Ovrut; D. Waldram On the four-dimensional effective action of strongly coupled heterotic string theory, Nucl. Phys. B, Volume 532 (1998), pp. 43-82

[16] A. Lukas; B.A. Ovrut; D. Waldram Gaugino condensation in M-theory on S¹/Z₂, Phys. Rev. D, Volume 57 (1998), pp. 7529-7538

[17] A. Lukas; B.A. Ovrut; D. Waldram The ten-dimensional effective action of strongly coupled heterotic string theory, Nucl. Phys. B, Volume 540 (1999), pp. 230-246

[18] A. Lukas; B.A. Ovrut; D. Waldram Non-standard embedding and five-branes in heterotic M-theory, Phys. Rev. D, Volume 59 (1999), p. 106005

[19] A. Lukas; B.A. Ovrut; D. Walldram Five-branes and supersymmetry breaking in M-theory, JHEP, Volume 9904 (1999), p. 009

[20] A. Lukas; B.A. Ovrut; K.S. Stelle; D. Waldram The universe as a domain wall, Phys. Rev. D, Volume 59 (1999), p. 086001

[21] A. Lukas; B.A. Ovrut; K.S. Stelle; D. Waldram Heterotic M-theory in five dimensions, Nucl. Phys. B, Volume 552 (1999), p. 246

[22] R. Donagi; A. Lukas; B.A. Ovrut; D. Waldram JHEP, 9905 (1999), p. 018

[23] R. Donagi; A. Lukas; B.A. Ovrut; D. Waldram JHEP, 9906 (1999), p. 034

[24] R. Donagi; B.A. Ovrut; D. Waldram JHEP, 9911 (1999), p. 030

[25] R. Donagi; B.A. Ovrut; T. Pantev; D. Waldram | arXiv

[26] R. Donagi; B.A. Ovrut; T. Pantev; D. Waldram JHEP, 0108 (2001), p. 053

[27] R. Donagi; B.A. Ovrut; T. Pantev; D. Waldram http://math.AG/0008010

[28] R. Donagi; B.A. Ovrut; T. Pantev; D. Waldram http://math.AG/0008011

[29] B.A. Ovrut; J. Park; T. Pantev JHEP, 0005 (2000), p. 045

[30] A. Lukas; B.A. Ovrut; D. Waldram Phys. Rev. D, 60 (1999), p. 086001

[31] A. Lukas, B.A. Ovrut, D. Waldram, Lectures presented at the Advanced School on Cosmology and Particle Physics, Peniscola, Spain, June 1998, | arXiv

[32] A. Lukas; B.A. Ovrut; D. Waldram Phys. Rev. D, 61 (2000), p. 023506

[33] A. Lukas; B.A. Ovrut; D. Waldram Cosmological solutions of type II string theory, Phys. Lett. B, Volume 393 (1997), pp. 65-71

[34] A. Lukas; B.A. Ovrut; D. Waldram String and M-theory cosmological solutions with Ramond forms, Nucl. Phys. B, Volume 495 (1997), pp. 365-399

[35] A. Lukas; B.A. Ovrut; D. Waldram Stabilizing dilaton and moduli vacua in string and M-theory cosmology, Nucl. Phys. B, Volume 509 (1998), pp. 169-193

[36] A. Lukas; B.A. Ovrut; D. Waldram Cosmological solutions of Horava–Witten theory, Phys. Rev. D, Volume 60 (1999), p. 086001

[37] A. Lukas; B.A. Ovrut; D. Waldram Boundary inflation, Phys. Rev. D, Volume 61 (2000), p. 023506

[38] G. Huey; P.J. Steinhardt; B.A. Ovrut; D. Waldram Phys. Lett. B, 476 (2000), pp. 379-386

[39] M. Braendle; A. Lukas; B.A. Ovrut Phys. Rev. D, 63 (2001), p. 026003

[40] J. Khoury; B.A. Ovrut; P.J. Steinhardt; N. Turok | arXiv

[41] J. Khoury; B.A. Ovrut; P.J. Steinhardt; N. Turok | arXiv

[42] J. Khoury; B.A. Ovrut; P.J. Steinhardt; N. Turok | arXiv

[43] R. Donagi; J. Khoury; B.A. Ovrut; P.J. Steinhardt; N. Turok | arXiv

[44] J. Khoury; B.A. Ovrut; N. Seiberg; P.J. Steinhardt; N. Turok | arXiv

[45] J. Khoury; B.A. Ovrut; P.J. Steinhardt; N. Turok | arXiv

[46] P.J. Steinhardt; N. Turok | arXiv

[47] P.J. Steinhardt; N. Turok | arXiv

[48] P. Candelas; G.T. Horowitz; A. Strominger; E. Witten Nucl. Phys. B, 258 (1985), p. 46

[49] M.B. Green, J.H. Schwarz, E. Witten, Superstring Theory, Vols. 1, 2, Cambridge University Press, Cambridge

[50] P. Griffiths; J. Harris Principles of Algebraic Geometry, Wiley, 1994 (p. 73)

[51] R. Friedman; J. Morgan; E. Witten Comm. Math. Phys., 187 (1997), pp. 679-743

[52] R. Friedman; J. Morgan; E. Witten http://math.AG/9709029

[53] R. Donagi Asian J. Math., 1 (1997) no. 214 http://math.AG/9702002

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