Gauged Linear Sigma Models for toroidal orbifold resolutions

Journal of High Energy Physics

Volumn 2012, Issue 5, 2012, Pages

  Blaszczyk, Michael ^a   Nibbelink, Stefan Groot ^b   Ruehle, Fabian ^a  

^a UNIVERSITY OF BONN   (Germany)

^b UNIVERSITY OF MUNICH   (Germany)

Author keywords

Superstring vacua; Superstrings and heterotic strings

Indexed keywords

EID: 84861863883     PISSN: 11266708     EISSN: 10298479     Source Type: Journal    
DOI: 10.1007/JHEP05(2012)053     Document Type: Article

References (79)

1. P. Candelas, G.T. Horowitz, A. Strominger and E. Witten, Vacuum configurations for superstrings, Nucl. Phys. B 258 (1985) 46.
2. M.B. Green, J.H. Schwarz and E. Witten, Superstring theory vol. 2: loop amplitudes, anomalies and phenomenology, Cambridge Monographs On Mathematical Physics, Cambridge University Press, Cambridge U.K. (1987).
3. D.J. Gross, J.A. Harvey, E.J. Martinec and R. Rohm, Heterotic string theory. 1. The free heterotic string, Nucl. Phys. B 256 (1985) 253.
4. D.J. Gross, J.A. Harvey, E.J. Martinec and R. Rohm, Heterotic string theory. 2. The interacting heterotic string, Nucl. Phys. B 267 (1986) 75.
5. R. Donagi, B.A. Ovrut, T. Pantev and D. Waldram, Standard models from heterotic M-theory, Adv. Theor. Math. Phys. 5 (2002) 93 [hep-th/9912208].
6. V. Bouchard and R. Donagi, An SU(5) heterotic Standard Model, Phys. Lett. B 633 (2006) 783 [hep-th/0512149].
7. V. Braun, Y.-H. He, B.A. Ovrut and T. Pantev, A heterotic Standard Model, Phys. Lett. B 618 (2005) 252 [hep-th/0501070].
8. 8 heterotic superstring, JHEP 06 (2005) 039 [hep-th/0502155].
9. A. Bak, V. Bouchard and R. Donagi, Exploring a new peak in the heterotic landscape, JHEP 06 (2010) 108 [arXiv:0811.1242].
10. L.B. Anderson, Y.-H. He and A. Lukas, Monad bundles in heterotic string compactifications, JHEP 07 (2008) 104 [arXiv:0805.2875].
11. 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].
12. L.J. Dixon, J.A. Harvey, C. Vafa and E. Witten, Strings on orbifolds, Nucl. Phys. B 261 (1985) 678.
13. L.J. Dixon, J.A. Harvey, C. Vafa and E. Witten, Strings on orbifolds. 2, Nucl. Phys. B 274 (1986) 285.
14. N orbifold models, Nucl. Phys. B 341 (1990) 611.
15. N orbifold phenomenology, Int. J. Mod. Phys. A 9 (1994) 87.
16. H. Kawai, D.C. Lewellen and S.H. Tye, Construction of fermionic string models in four-dimensions, Nucl. Phys. B 288 (1987) 1.
17. I. Antoniadis, J.R. Ellis, J. Hagelin and D.V. Nanopoulos, The flipped SU(5) × U(1) string model revamped, Phys. Lett. B 231 (1989) 65.
18. L.E. Ibáñez, J. Mas, H.-P. Nilles and F. Quevedo, Heterotic strings in symmetric and asymmetric orbifold backgrounds, Nucl. Phys. B 301 (1988) 157.
19. D. Gepner, String theory on Calabi-Yau manifolds: the three generations case, hep-th/9301089.
20. W. Buchmüller, K. Hamaguchi, O. Lebedev and M. Ratz, Supersymmetric Standard Model from the heterotic string, Phys. Rev. Lett. 96 (2006) 121602 [hep-ph/0511035].
21. W. Buchmüller, K. Hamaguchi, O. Lebedev and M. Ratz, Supersymmetric Standard Model from the heterotic string. II, Nucl. Phys. B 785 (2007) 149 [hep-th/0606187].
22. W. Buchmüller, K. Hamaguchi, O. Lebedev, S. Ramos-Sánchez and M. Ratz, Seesaw neutrinos from the heterotic string, Phys. Rev. Lett. 99 (2007) 021601 [hep-ph/0703078].
23. O. Lebedev et al., The heterotic road to the MSSM with R parity, Phys. Rev. D 77 (2008) 046013 [arXiv:0708.2691].
24. 6 orbifold, Phys. Lett. B 668 (2008) 331 [arXiv:0807.4384].
25. 12-I orbifold compactification with and without exotics and effective R-parity, JHEP 06 (2007) 034 [hep-ph/0702278].
26. 2 Standard Model, Phys. Lett. B 683 (2010) 340 [arXiv:0911.4905].
27. A.E. Faraggi, D.V. Nanopoulos and K.-J. Yuan, A standard like model in the 4D free fermionic string formulation, Nucl. Phys. B 335 (1990) 347.
28. A.E. Faraggi, A new standard-like model in the four-dimensional free fermionic string formulation, Phys. Lett. B 278 (1992) 131.
29. G.B. Cleaver, A.E. Faraggi and S. Nooij, NAHE based string models with SU(4) × SU(2) × U(1)SO(10) subgroup, Nucl. Phys. B 672 (2003) 64 [hep-ph/0301037].
30. A.E. Faraggi, E. Manno and C. Timirgaziu, Minimal standard heterotic string models, Eur. Phys. J. C 50 (2007) 701 [hep-th/0610118].
31. T. Dijkstra, L. Huiszoon and A. Schellekens, Supersymmetric Standard Model spectra from RCFT orientifolds, Nucl. Phys. B 710 (2005) 3 [hep-th/0411129].
32. T. Dijkstra, L. Huiszoon and A. Schellekens, Chiral supersymmetric Standard Model spectra from orientifolds of Gepner models, Phys. Lett. B 609 (2005) 408 [hep-th/0403196].
33. R. Donagi and K. Wendland, On orbifolds and free fermion constructions, J. Geom. Phys. 59 (2009) 942 [arXiv:0809.0330].
34. 3, JHEP 05 (2002) 018 [hep-th/0202206].
35. n orbifolds, their U(1) bundles and applications to string model building, JHEP 03 (2007) 035 [hep-th/0701227].
36. S. Nibbelink Groot, F.P. Correia and M. Trapletti, Non-Abelian bundles on heterotic non-compact K3 orbifold blowups, JHEP 11 (2008) 044 [arXiv:0809.4430].
37. T. Oda, Convex bodies and algebraic geometry: an introduction to the theory of toric varieties, Springer, U.S.A. (1988).
38. W. Fulton, Introduction to toric varieties, Annals of mathematics studies 131, The William H. Roever lectures in geometry, Princeton University Press, Princeton U.S.A. (1993).
39. K. Hori et al., Mirror symmetry, American Mathematical Society, Providence U.S.A. (2003).
40. D. Lust, S. Reffert, E. Scheidegger and S. Stieberger, Resolved toroidal orbifolds and their orientifolds, Adv. Theor. Math. Phys. 12 (2008) 67 [hep-th/0609014].
41. S. Nibbelink Groot, T.-W. Ha and M. Trapletti, Toric resolutions of heterotic orbifolds, Phys. Rev. D 77 (2008) 026002 [arXiv: 0707.1597].
42. F. Denef, M.R. Douglas, B. Florea, A. Grassi and S. Kachru, Fixing all moduli in a simple F-theory compactification, Adv. Theor. Math. Phys. 9 (2005) 861 [hep-th/0503124].
43. S. Reffert, Toroidal orbifolds: resolutions, orientifolds and applications in string phenomenology, hep-th/0609040.
44. S. Reffert, The geometer's toolkit to string compactifications, arXiv: 0706.1310.
45. S. Nibbelink Groot, D. Klevers, F. Ploger, M. Trapletti and P.K. Vaudrevange, Compact heterotic orbifolds in blow-up, JHEP 04 (2008) 060 [arXiv: 0802. 2809].
46. n MSSM orbifolds in blowup, JHEP 03 (2009) 005 [arXiv: 0901. 3059].
47. M. Blaszczyk, S. Nibbelink Groot, F. Ruehle, M. Trapletti and P.K. Vaudrevange, Heterotic MSSM on a resolved orbifold, JHEP 09 (2010) 065 [arXiv: 1007.0203].
48. M. Blaszczyk, N.G. Cabo Bizet, H.P. Nilles and F. Ruhle, A perfect match of MSSM-like orbifold and resolution models via anomalies, JHEP 10 (2011) 117 [arXiv: 1108.0667].
49. G. Honecker and M. Trapletti, Merging heterotic orbifolds and K3 compactifications with line bundles, JHEP 01 (2007) 051 [hep-th/0612030].
50. O. Lebedev et al., Low energy supersymmetry from the heterotic landscape, Phys. Rev. Lett. 98 (2007) 181602 [hep-th/0611203].
51. O. Lebedev et al., A mini-landscape of exact MSSM spectra in heterotic orbifolds, Phys. Lett. B 645 (2007) 88 [hep-th/0611095].
52. E. Witten, Phases of N = 2 theories in two-dimensions, Nucl. Phys. B 403 (1993) 159 [hep-th/9301042].
53. J. Distler, Notes on N = 2 σ-models, hep-th/9212062.
54. J. Distler and S. Kachru, (0,2) Landau-Ginzburg theory, Nucl. Phys. B 413 (1994) 213 [hep-th/9309110].
55. J. Distler, Notes on (0,2) superconformal field theories, hep-th/9502012.
56. P.S. Aspinwall, B.R. Greene and D.R. Morrison, Measuring small distances in N = 2 σ-models, Nucl. Phys. B 420 (1994) 184 [hep-th/9311042].
57. J. Distler, B.R. Greene and D.R. Morrison, Resolving singularities in (0,2) models, Nucl. Phys. B 481 (1996) 289 [hep-th/9605222].
58. T.-M. Chiang, J. Distler and B.R. Greene, Some features of (0,2) moduli space, Nucl. Phys. B 496 (1997) 590 [hep-th/9702030].
59. IV. Melnikov and M.R. Plesser, The Coulomb branch in gauged linear σ-models, JHEP 06 (2005) 013 [hep-th/0501238].
60. P.S. Aspinwall, I.V. Melnikov and M.R. Plesser, (0, 2) elephants, JHEP 01 (2012) 060 [arXiv: 1008. 2156].
61. 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].
62. J. Erler and A. Klemm, Comment on the generation number in orbifold compactifications, Commun. Math. Phys. 153 (1993) 579 [hep-th/9207111].
63. C. Beasley and E. Witten, Residues and world sheet instantons, JHEP 10 (2003) 065 [hep-th/0304115].
64. A. Basu and S. Sethi, World sheet stability of (0, 2) linear σ-models, Phys. Rev. D 68 (2003) 025003 [hep-th/0303066].
65. J. Distler and S. Kachru, Quantum symmetries and stringy instantons, Phys. Lett. B 336 (1994) 368 [hep-th/9406091].
66. E. Silverstein and E. Witten, Global U(1) R-symmetry and conformal invariance of (0, 2) models, Phys. Lett. B 328 (1994) 307 [hep-th/9403054].
67. E. Silverstein and E. Witten, Criteria for conformal invariance of (0, 2) models, Nucl. Phys. B 444 (1995) 161 [hep-th/9503212].
68. P.S. Aspinwall and M.R. Plesser, Elusive worldsheet instantons in heterotic string compactifications, arXiv: 1106.2998.
69. P.S. Aspinwall, Resolution of orbifold singularities in string theory, hep-th/9403123.
70. R. Blumenhagen and T. Rahn, Landscape study of target space duality of (0, 2) heterotic string models, JHEP 09 (2011) 098 [arXiv: 1106.4998].
71. L. Ahlfors, Complex analysis, McGraw-Hill Book Company, New York U.S.A. (1953).
72. N. Koblitz, Introduction to elliptic curves and modular forms, Graduate texts in mathematics 97, Cambridge University Press, Cambridge U.K. (1993).
73. N orbifold models, Nucl. Phys. B 341 (1990) 611.
74. S. Nibbelink Groot, Heterotic orbifold resolutions as (2,0) gauged linear σ-models, Fortsch. Phys. 59 (2011) 454 [arXiv: 1012.3350].
75. A. Adams, M. Ernebjerg and J.M. Lapan, Linear models for flux vacua, Adv. Theor. Math. Phys. 12 (2008) 817 [hep-th/0611084].
76. L. Carlevaro and D. Israel, Heterotic resolved conifolds with torsion, from supergravity to CFT, JHEP 01 (2010) 083 [arXiv: 0910. 3190].
77. M. Blaszczyk, S. Nibbelink Groot and F. Ruehle, Green-Schwarz mechanism in heterotic (2,0) gauged linear σ-models: torsion and NS5 branes, JHEP 08 (2011) 083 [arXiv: 1107. 0320].
78. C. Quigley and S. Sethi, Linear σ-models with torsion, JHEP 11 (2011) 034 [arXiv: 1107. 0714].
79. A. Mertens, Reflections of NS5 branes, arXiv: 1107.1457.