Green-Schwarz mechanism in heterotic (2,0) gauged linear sigma models: Torsion and NS5 branes

Journal of High Energy Physics

Volumn 2011, Issue 8, 2011, Pages

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

^a UNIVERSITY OF BONN   (Germany)

^b UNIVERSITY OF MUNICH   (Germany)

Author keywords

Anomalies in Field and String Theories; Superstrings and Heterotic Strings

Indexed keywords

EID: 80053153478     PISSN: 11266708     EISSN: 10298479     Source Type: Journal    
DOI: 10.1007/JHEP08(2011)083     Document Type: Article

References (88)

1. 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 [SPIRES].
2. 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 [SPIRES].
3. L.J. Dixon, J.A. Harvey, C. Vafa and E. Witten, Strings on Orbifolds, Nucl. Phys. B 261 (1985) 678 [SPIRES].
4. L.J. Dixon, J.A. Harvey, C. Vafa and E. Witten, Strings on Orbifolds. 2, Nucl. Phys. B 274 (1986) 285 [SPIRES].
5. L.E. Ibàñez, J. Mas, H.-P. Nilles and F. Quevedo, Heterotic Strings in Symmetric and Asymmetric Orbifold Backgrounds, Nucl. Phys. B 301 (1988) 157 [SPIRES].
6. O. Lebedev et al., Low Energy Supersymmetry from the Heterotic Landscape, Phys. Rev. Lett. 98 (2007) 181602 [hep-th/0611203] [SPIRES].
7. 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] [SPIRES].
8. 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] [SPIRES].
9. O. Lebedev et al., A mini-landscape of exact MSSM spectra in heterotic orbifolds, Phys. Lett. B 645 (2007) 88 [hep-th/0611095] [SPIRES].
10. O. Lebedev et al., The Heterotic Road to the MSSM with R parity, Phys. Rev. D 77 (2008) 046013 [arXiv:0708.2691] [SPIRES].
11. M.R. Douglas, B.R. Greene and D.R. Morrison, Orbifold resolution by D-branes, Nucl. Phys. B 506 (1997) 84 [hep-th/9704151] [SPIRES].
12. F. Denef, M.R. Douglas and B. Florea, Building a better racetrack, JHEP 06 (2004) 034 [hep-th/0404257] [SPIRES].
13. D. Lüst, S. Reffert, E. Scheidegger and S. Stieberger, Resolved toroidal orbifolds and their orientifolds, Adv. Theor. Math. Phys. 12 (2008) 67 [hep-th/0609014] [SPIRES].
14. S. Reffert, The Geometer's Toolkit to String Compactifications, arXiv:0706.1310 [SPIRES].
15. W. Fulton Introduction to Toric Varieties, Princeton University Press, Princeton U.S.A. (1993).
16. K. Hori et al., Mirror symmetry, MS Chelsea Publishing, Providence U.S.A.(2003).
17. G. Honecker and M. Trapletti, Merging heterotic orbifolds and K3 compactifications with line bundles, JHEP 01 (2007) 051 [hep-th/0612030] [SPIRES].
18. S.G. Nibbelink, T.-W. Ha and M. Trapletti, Toric Resolutions of Heterotic Orbifolds, Phys. Rev. D 77 (2008) 026002 [arXiv:0707.1597] [SPIRES].
19. S.G. Nibbelink, D. Klevers, F. Plöger, M. Trapletti and P.K.S. Vaudrevange, Compact heterotic orbifolds in blow-up, JHEP 04 (2008) 060 [arXiv:0802.2809] [SPIRES].
20. S.G. Nibbelink, J. Held, F. Ruehle, M. Trapletti and P.K.S. Vaudrevange, Heterotic Z6-II MSSM Orbifolds in Blowup, JHEP 03 (2009) 005 [arXiv:0901.3059] [SPIRES].
21. S.G. Nibbelink, M. Trapletti and M. Walter, Resolutions of Cn/Zn Orbifolds, their U(1) Bundles and Applications to String Model Building, JHEP 03 (2007) 035 [hep-th/0701227] [SPIRES].
22. S. Groot Nibbelink, H.P. Nilles and M. Trapletti, Multiple anomalous U(1)s in heterotic blow-ups, Phys. Lett. B 652 (2007) 124 [hep-th/0703211] [SPIRES].
23. S.G. Nibbelink, F.P. Correia and M. Trapletti, Non-Abelian bundles on heterotic non-compact K3 orbifold blowups, JHEP 11 (2008) 044 [arXiv:0809.4430] [SPIRES].
24. M. Blaszczyk et al., A Z2xZ2 standard model, Phys. Lett. B 683 (2010) 340 [arXiv:0911.4905] [SPIRES].
25. R. Donagi and K. Wendland, On orbifolds and free fermion constructions, J. Geom. Phys. 59 (2009) 942 [arXiv:0809.0330] [SPIRES].
26. M. Blaszczyk, S.G. Nibbelink, F. Ruehle, M. Trapletti and P.K.S. Vaudrevange, Heterotic MSSM on a Resolved Orbifold, JHEP 09 (2010) 065 [arXiv:1007.0203] [SPIRES].
27. P. Candelas, G.T. Horowitz, A. Strominger and E. Witten, Vacuum Configurations for Superstrings, Nucl. Phys. B 258 (1985) 46 [SPIRES].
28. S. Donalson Anti-self-dual Yang-Mills connections over complex algebraic surfaces and stable vector bundles, Proc. Londan Math. Soc. 50 (1985) 1.
29. K. Uhlenbeck and S. Yau, On the existence of Hermitian-Yang-Mills connections in stable vector bundles, Comm. Pure and Appl. Math. 19 (1986) 257.
30. M. Kreuzer and H. Skarke, Complete classification of reflexive polyhedra in four dimensions, Adv. Theor. Math. Phys. 4 (2002) 1209 [hep-th/0002240] [SPIRES].
31. T.L. Gomez, S. Lukic and I. Sols, Constraining the Kähler moduli in the heterotic standard model, Commun. Math. Phys. 276 (2007) 1 [hep-th/0512205] [SPIRES].
32. 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] [SPIRES].
33. R. Donagi, B.A. Ovrut, T. Pantev and D. Waldram, Standard-model bundles, Adv. Theor. Math. Phys. 5 (2002) 563 [math/0008010]. = MATH/0008010;
34. R. Donagi, B.A. Ovrut, T. Pantev and D. Waldram, Spectral involutions on rational elliptic surfaces, Adv. Theor. Math. Phys. 5 (2002) 499 [math/0008011].
35. V. Braun, Y.-H. He, B.A. Ovrut and T. Pantev, A heterotic standard model, Phys. Lett. B 618 (2005) 252 [hep-th/0501070] [SPIRES].
36. 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] [SPIRES].
37. V. Bouchard and R. Donagi, An SU(5) heterotic standard model, Phys. Lett. B 633 (2006) 783 [hep-th/0512149] [SPIRES].
38. V. Bouchard and R. Donagi, On heterotic model constraints, JHEP 08 (2008) 060 [arXiv:0804.2096] [SPIRES].
39. 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] [SPIRES].
40. L.B. Anderson, J. Gray, A. Lukas and E. Palti, Two Hundred Heterotic Standard Models on Smooth Calabi-Yau Threefolds, arXiv:1106.4804 [SPIRES].
41. S. Kachru, M.B. Schulz and S. Trivedi, Moduli stabilization from fluxes in a simple IIB orientifold, JHEP 10 (2003) 007 [hep-th/0201028] [SPIRES].
42. S. Kachru, R. Kallosh, A.D. Linde and S.P. Trivedi, de Sitter vacua in string theory, Phys. Rev. D 68 (2003) 046005 [hep-th/0301240] [SPIRES].
43. M.R. Douglas and S. Kachru, Flux compactification, Rev. Mod. Phys. 79 (2007) 733 [hep-th/0610102] [SPIRES].
44. F. Denef, M.R. Douglas and S. Kachru, Physics of string flux compactifications, Ann. Rev. Nucl. Part. Sci. 57 (2007) 119 [hep-th/0701050] [SPIRES].
45. A. Strominger, Superstrings with Torsion, Nucl. Phys. B 274 (1986) 253 [SPIRES].
46. K. Becker, M. Becker, K. Dasgupta and P.S. Green, Compactifications of heterotic theory on non-Kähler complex manifolds. I, JHEP 04 (2003) 007 [hep-th/0301161] [SPIRES].
47. K. Becker, M. Becker, P.S. Green, K. Dasgupta and E. Sharpe, Compactifications of heterotic strings on non-Kähler complex manifolds. II, Nucl. Phys. B 678 (2004) 19 [hep-th/0310058] [SPIRES].
48. K. Dasgupta, G. Rajesh and S. Sethi, M theory, orientifolds and G-flux, JHEP 08 (1999) 023 [hep-th/9908088] [SPIRES].
49. K. Becker and K. Dasgupta, Heterotic strings with torsion, JHEP 11 (2002) 006 [hep-th/0209077] [SPIRES].
50. K. Becker and S. Sethi, Torsional Heterotic Geometries, Nucl. Phys. B 820 (2009) 1 [arXiv:0903.3769] [SPIRES].
51. J.-X. Fu and S.-T. Yau, The theory of superstring with flux on non-Kähler manifolds and the complex Monge-Ampere equation, J. Diff. Geom. 78 (2009) 369 [hep-th/0604063] [SPIRES].
52. K. Becker, M. Becker, J.-X. Fu, L.-S. Tseng and S.-T. Yau, Anomaly cancellation and smooth non-Kähler solutions in heterotic string theory, Nucl. Phys. B 751 (2006) 108 [hep-th/0604137] [SPIRES].
53. J.-X. Fu, L.-S. Tseng and S.-T. Yau, Local Heterotic Torsional Models, Commun. Math. Phys. 289 (2009) 1151 [arXiv:0806.2392] [SPIRES].
54. B. Andreas and M. Garcia-Fernandez, Solutions of the Strominger System via Stable Bundles on Calabi-Yau Threefolds, arXiv:1008.1018 [SPIRES].
55. B. Andreas and M. Garcia-Fernandez, Heterotic Non-Kähler Geometries via Polystable Bundles on Calabi-Yau Threefolds, arXiv:1011.6246 [SPIRES].
56. A. Adams, M. Ernebjerg and J.M. Lapan, Linear models for flux vacua, Adv. Theor. Math. Phys. 12 (2008) 817 [hep-th/0611084] [SPIRES].
57. A. Adams and D. Guarrera, Heterotic Flux Vacua from Hybrid Linear Models, arXiv:0902.4440 [SPIRES].
58. A. Adams and J.M. Lapan, Computing the Spectrum of a Heterotic Flux Vacuum, JHEP 03 (2011) 045 [arXiv:0908.4294] [SPIRES].
59. K. Becker, M. Becker and A. Strominger, Five-branes, membranes and nonperturbative string theory, Nucl. Phys. B 456 (1995) 130 [hep-th/9507158] [SPIRES].
60. G. Aldazabal, A. Font, L.E. Ibàñez and A.M. Uranga, New branches of string compactifications and their F-theory duals, Nucl. Phys. B 492 (1997) 119 [hep-th/9607121] [SPIRES].
61. R. Donagi, A. Lukas, B.A. Ovrut and D. Waldram, Non-perturbative vacua and particle physics in M-theory, JHEP 05 (1999) 018 [hep-th/9811168] [SPIRES].
62. R. Blumenhagen, G. Honecker and T. Weigand, Non-abelian brane worlds: The heterotic string story, JHEP 10 (2005) 086 [hep-th/0510049] [SPIRES].
63. G. Honecker, Massive U(1)s and heterotic five-branes on K3, Nucl. Phys. B 748 (2006) 126 [hep-th/0602101] [SPIRES].
64. L.B. Anderson, Y.-H. He and A. Lukas, Monad Bundles in Heterotic String Compactifications, JHEP 07 (2008) 104 [arXiv:0805.2875] [SPIRES].
65. E. Witten, Small Instantons in String Theory, Nucl. Phys. B 460 (1996) 541 [hep-th/9511030] [SPIRES].
66. A. Strominger, Heterotic solitons, Nucl. Phys. B 343 (1990) 167 [SPIRES].
67. L. Carlevaro and D. Israel, Heterotic Resolved Conifolds with Torsion, from Supergravity to CFT, JHEP 01 (2010) 083 [arXiv:0910.3190] [SPIRES].
68. E. Witten, Phases of N = 2 theories in two dimensions, Nucl. Phys. B 403 (1993) 159 [hep-th/9301042] [SPIRES].
69. J. Distler and B.R. Greene, Aspects of (2, 0) String Compactifications, Nucl. Phys. B 304 (1988) 1 [SPIRES].
70. J. Distler, Notes on N = 2 σ-models, hep-th/9212062 [SPIRES].
71. J. Distler, Notes on (0, 2) superconformal field theories, hep-th/9502012 [SPIRES].
72. 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] [SPIRES].
73. E. Silverstein and E. Witten, Criteria for conformal invariance of (0, 2) models, Nucl. Phys. B 444 (1995) 161 [hep-th/9503212] [SPIRES].
74. A. Basu and S. Sethi, World-sheet stability of (0, 2) linearfi-models, Phys. Rev. D 68 (2003) 025003 [hep-th/0303066] [SPIRES].
75. C. Beasley and E. Witten, Residues and world-sheet instantons, JHEP 10 (2003) 065 [hep-th/0304115] [SPIRES].
76. S.G. Nibbelink, Heterotic orbifold resolutions as (2, 0) gauged linear σ-models, arXiv:1012.3350 [SPIRES].
77. C. Quigley and S. Sethi, Linearfi-models with Torsion, arXiv:1107.0714 [SPIRES].
78. R. Blumenhagen and T. Rahn, Landscape Study of Target Space Duality of (0, 2) Heterotic String Models, arXiv:1106.4998 [SPIRES].
79. B. Zumino, Y.-S. Wu and A. Zee, Chiral Anomalies, Higher Dimensions and Differential Geometry, Nucl. Phys. B 239 (1984) 477 [SPIRES].
80. O. Alvarez, I.M. Singer and B. Zumino, Gravitational anomalies and the family's index theorem, Commun. Math. Phys. 96 (1984) 409 [SPIRES].
81. B. Zumino, Cohomology of Gauge Groups: Cocycles and Schwinger Terms, Nucl. Phys. B 253 (1985) 477 [SPIRES].
82. A. Adams, Orbifold Phases of Heterotic Flux Vacua, arXiv:0908.2994 [SPIRES].
83. A. Adams, A. Basu and S. Sethi, (0, 2) duality, Adv. Theor. Math. Phys. 7 (2004) 865 [hep-th/0309226] [SPIRES].
84. M. Becker, L.-S. Tseng and S.-T. Yau, New Heterotic Non-Kähler Geometries, arXiv:0807.0827 [SPIRES].
85. C.M. Hull and E. Witten, Supersymmetric σ-models and the Heterotic String, Phys. Lett. B 160 (1985) 398 [SPIRES].
86. C.M. Hull and P.K. Townsend, World sheet supersymmetry and anomaly cancellation in the heterotic string, Phys. Lett. B 178 (1986) 187 [SPIRES].
87. D. Tong, NS5-branes, T-duality and worldsheet instantons, JHEP 07 (2002) 013 [hep-th/0204186] [SPIRES].
88. L.B. Anderson, Y.-H. He and A. Lukas, Heterotic compactification, an algorithmic approach, JHEP 07 (2007) 049 [hep-th/0702210] [SPIRES].