The MSSM spectrum from (0,2)-deformations of the heterotic standard embedding

Journal of High Energy Physics

Volumn 2012, Issue 5, 2012, Pages

  Braun, Volker ^a   Candelas, Philip ^b   Davies, Rhys ^b   Donagi, Ron ^c  

^a DUBLIN INSTITUTE FOR ADVANCED STUDIES   (Ireland)

^b UNIVERSITY OF OXFORD   (United Kingdom)

^c UNIVERSITY OF PENNSYLVANIA   (United States)

Author keywords

Differential and algebraic geometry; Superstring vacua; Superstrings and heterotic strings

Indexed keywords

EID: 84861826885     PISSN: 11266708     EISSN: 10298479     Source Type: Journal    
DOI: 10.1007/JHEP05(2012)127     Document Type: Article

References (41)

1. P. Candelas, G.T. Horowitz, A. Strominger and E. Witten, Vacuum Configurations for Superstrings, Nucl. Phys. B 258 (1985) 46 [INSPIRE].
2. B.R. Greene, K.H. Kirklin, P.J. Miron and G.G. Ross, A Three Generation Superstring Model. 2. Symmetry Breaking and the Low-Energy Theory, Nucl. Phys. B 292 (1987) 606 [INSPIRE].
3. S.K. Donaldson, Anti self-dual Yang-Mills connections over complex algebraic surfaces and stable vector bundles, P. Lond. Math. Soc. 50 (1985) 1.
4. K. Uhlenbeck and S. T. Yau, On the existence of Hermitian-Yang-Mills connections in stable vector bundles, Commun. Pur. Appl. Math. 39 (1986) 257.
5. V. Braun, Y.-H. He and B.A. Ovrut, Stability of the minimal heterotic standard model bundle, JHEP 06 (2006) 032 [hep-th/0602073] [INSPIRE].
6. L.B. Anderson, Y.-H. He and A. Lukas, Monad Bundles in Heterotic String Compactifications, JHEP 07 (2008) 104 [arXiv:0805.2875] [INSPIRE].
7. L.B. Anderson, J. Gray, A. Lukas and B. Ovrut, The Edge Of Supersymmetry: Stability Walls in Heterotic Theory, Phys. Lett. B 677 (2009) 190 [arXiv:0903.5088] [INSPIRE].
8. L.B. Anderson, J. Gray, A. Lukas and B. Ovrut, Stability Walls in Heterotic Theories, JHEP 09 (2009) 026 [arXiv:0905.1748] [INSPIRE].
9. V. Bouchard and R. Donagi, An SU(5) heterotic standard model, Phys. Lett. B 633 (2006) 783 [hep-th/0512149] [INSPIRE].
10. L.B. Anderson, J. Gray, A. Lukas and E. Palti, Two Hundred Heterotic Standard Models on Smooth Calabi-Yau Threefolds, Phys. Rev. D 84 (2011) 106005 [arXiv:1106.4804] [INSPIRE].
11. V. Braun, Y.-H. He, B.A. Ovrut and T. Pantev, The Exact MSSM spectrum from string theory, JHEP 05 (2006) 043 [hep-th/0512177] [INSPIRE].
12. V. Bouchard and R. Donagi, On heterotic model constraints, JHEP 08 (2008) 060 [arXiv:0804.2096] [INSPIRE].
13. L.B. Anderson, J. Gray, Y.-H. He and A. Lukas, Exploring Positive Monad Bundles And A New Heterotic Standard Model, JHEP 02 (2010) 054 [arXiv:0911.1569] [INSPIRE].
14. J. McOrist and I.V. Melnikov, Old issues and linear σ-models, arXiv:1103.1322 [INSPIRE].
15. V. Braun, P. Candelas and R. Davies, A Three-Generation Calabi-Yau Manifold with Small Hodge Numbers, Fortsch. Phys. 58 (2010) 467 [arXiv:0910.5464] [INSPIRE].
16. V. Braun, On Free Quotients of Complete Intersection Calabi-Yau Manifolds, JHEP 04 (2011) 005 [arXiv:1003.3235] [INSPIRE].
17. J. Li and S.-T. Yau, The Existence of supersymmetric string theory with torsion, hep-th/0411136 [INSPIRE].
18. R. Donagi, R. Reinbacher and S.-T. Yau, Yukawa couplings on quintic threefolds, hep-th/0605203 [INSPIRE].
19. B. McInnes, Group theoretic aspects of the Hosotani mechanism, J. Phys. A 22 (1989) 2309 [INSPIRE].
20. R. Donagi, B.A. Ovrut, T. Pantev and R. Reinbacher, SU(4) instantons on Calabi-Yau threefolds with Z(2) × Z(2) fundamental group, JHEP 01 (2004) 022 [hep-th/0307273] [INSPIRE].
21. V.V. Batyrev, Dual polyhedra and mirror symmetry for Calabi-Yau hypersurfaces in toric varieties, J. Alg. Geom. 3 (1994) 493 [alg-geom/9310003] [INSPIRE].
22. M. Kreuzer and H. Skarke, Complete classification of reexive polyhedra in four-dimensions, Adv. Theor. Math. Phys. 4 (2002) 1209 [hep-th/0002240] [INSPIRE].
23. P.S. Aspinwall, B.R. Greene and D.R. Morrison, Calabi-Yau moduli space, mirror manifolds and space-time topology change in string theory, Nucl. Phys. B 416 (1994) 414 [hep-th/9309097] [INSPIRE].
24. V. Bouchard, Lectures on complex geometry, Calabi-Yau manifolds and toric geometry, hep-th/0702063 [INSPIRE].
25. K. Hori et al., Mirror symmetry, AMS (2003).
26. W. Fulton, Introduction to Toric Varieties, Princeton University Press, Princeton (1993).
27. D. A. Cox, J. B. Little and H. K. Schenck, Toric Varieties, AMS (2011).
28. P. Candelas, A. Dale, C. Lütken and R. Schimmrigk, Complete Intersection Calabi-Yau Manifolds, Nucl. Phys. B 298 (1988) 493 [INSPIRE].
29. P. Candelas, C. Lütken and R. Schimmrigk, Complete Intersection Calabi-Yau Manifolds. 2. Three Generation Manifolds, Nucl. Phys. B 306 (1988) 113 [INSPIRE].
30. P. Candelas and R. Davies, New Calabi-Yau Manifolds with Small Hodge Numbers, Fortsch. Phys. 58 (2010) 383 [arXiv:0809.4681] [INSPIRE].
31. D.A. Cox, The Homogeneous coordinate ring of a toric variety, revised version, alg-geom/9210008 [INSPIRE].
32. J. Distler, Notes on (0; 2) superconformal field theories, hep-th/9502012 [INSPIRE].
33. E. Witten, Symmetry Breaking Patterns in Superstring Models, Nucl. Phys. B 258 (1985) 75 [INSPIRE].
34. E. Witten, New Issues in Manifolds of SU(3) Holonomy, Nucl. Phys. B 268 (1986) 79 [INSPIRE].
35. M. Kreuzer, J. McOrist, I.V. Melnikov and M.R. Plesser, (0, 2) Deformations of Linear σ-models, JHEP 07 (2011) 044 [arXiv:1001.2104] [INSPIRE].
36. R. Davies, The Expanding Zoo of Calabi-Yau Threefolds, Adv. High Energy Phys. 2011 (2011) 901898 [arXiv:1103.3156] [INSPIRE].
37. S.T. Yau, Compact three-dimensional Kähler manifolds with zero Ricci curvature, in proceedings of Symposium on Anomalies, Geometry, Topology, Argonne/Chicago (1985) 395.
38. P. Candelas, X. de la Ossa, Y.-H. He and B. Szendroi, Triadophilia: A Special Corner in the Landscape, Adv. Theor. Math. Phys. 12 (2008) 2 [arXiv:0706.3134] [INSPIRE].
39. L.B. Anderson, Y.-H. He and A. Lukas, Heterotic Compactification, An Algorithmic Approach, JHEP 07 (2007) 049 [hep-th/0702210] [INSPIRE].
40. L.B. Anderson, Heterotic and M-theory Compactifications for String Phenomenology, arXiv:0808.3621 [INSPIRE].
41. R. Hartshorne, Algebraic Geometry, Graduate Texts in Mathematics, Springer (1977).