A supermembrane with central charges on a G2 manifold

Journal of Physics A: Mathematical and Theoretical

Volumn 42, Issue 32, 2009, Pages

  Belhaj, A ^a   Moral, M P Garcia Del ^b   Restuccia, A ^c,d   Segui, A ^a   Veiro, J P ^d  

^a UNIVERSITY OF ZARAGOZA   (Spain)

^b UNIVERSITY OF TURIN   (Italy)

^c ALBERT EINSTEIN INSTITUT   (Germany)

^d UNIVERSIDAD SIMÓN BOLÍVAR   (Venezuela)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 70449574484     PISSN: 17518113     EISSN: 17518121     Source Type: Journal    
DOI: 10.1088/1751-8113/42/32/325201     Document Type: Article

References (71)

1. Townsend P K and Papadopoulos G 1995 Compactification of D = 11 supergravity on spaces of exceptional holonomy Phys. Lett. B 357 472 (arXiv:hep-th/9506150)
2. Acharya B 2000 On realizing N = 1 super Yang-Mills in M-theory arXiv:hep-th/0011089
3. Harvey J A and Moore G 1999 Superpotentials and membrane instantons arXiv:hep-th/9907026
4. Kachru S and McGreevy J 2001 M-theory on manifolds of G2 holonomy and type IIA orientifolds J. High Energy Phys. JHEP06(2001)027 (arXiv:hep-th/ 0103223)
5. Atiyah M F and Witten E 2001 M-theory dynamics on a manifold of G2 holonomy arXiv:hep-th/0107177
6. Anderson L B, Barrett A B, Lukas A and Yamaguchi M 2006 Four-dimensional effective M-theory on a singular G(2) manifold Phys. Rev. D 74 086008 arXiv:hep-th/0606285
7. Witten E 2001 Anomaly cancellation on manifolds of G2 holonomy arXiv:hep-th/0108165
8. Acharya B and Witten E 2001 Chiral fermions from manifolds of G2 holonomy arXiv:hep-th/0109152
9. Belhaj A, Drissi L B and Rasmussen J 2003 On N = 1 gauge models from geometric engineering in M-theory Class. Quantum Grav. 20 4973-82 (arXiv:hep-th/0304019)
10. Belhaj A 2004 On manifolds of G(2) holonomy in M-theory compactifications Afr. J. Math. Phys. 1 61-8
11. Acharya B S and Gukov S 2004 M theory and singularities of exceptional holonomy manifolds Phys. Rep. 392 121-89 (arXiv:hep-th/0409191)
12. Cicoli M, Conlon J P and Quevedo F 2007 Systematics of string loop corrections in type IIB Calabi-Yau flux compactifications arXiv:0708.1873 [hep-th]
13. Balasubramanian V, Berglund P, Conlon J P and Quevedo F 2005 Systematics of moduli stabilisation in Calabi-Yau flux compactifications J. High Energy Phys. JHEP03(2005)007 (arXiv:hep-th/0502058)
14. Denef F, Douglas M R and Kachru S 2007 Physics of string flux compactifications arXiv:hep-th/0701050
15. Cascales J F G, Garcia del Moral M P, Quevedo F and Uranga A 2004 Realistic D-brane models on warped throats: fluxes, hierarchies and moduli stabilization J. High Energy Phys. JHEP02(2004)031 (arXiv:hep-th/0312051)
16. Cascales J F G and Uranga A M 2003 Chiral 4d string vacua with D-branes and NSNS and RR fluxes J. High Energy Phys. JHEP05(2003)011 (arXiv:hep-th/ 0303024)
17. Curio G, Klemm A, Lust D and Theisen S 2001 On the vacuum structure of type II string compactifications on Calabi-Yau spaces with H fluxes Nucl. Phys. B 609 3-45 (arXiv:hep-th/0012213)
18. Blumenhagen R, Kors B, Lust D and Stieberger S 2006 Four-dimensional string compactifications with D-branes, orientifolds and fluxes arXiv:hep-th/0610327
19. Hull C M and Reid-Edwards R A 2006 Flux compactifications of M-theory on twisted tori J. High Energy Phys. JHEP10(2006)086 (arXiv:hep-th/0603094)
20. Dall'Agata G, D'Auria R and Ferrara S 2005 Compactifications on twisted tori with fluxes and free differential algebras Phys. Lett. B 619 149-54 (arXiv:hep-th/0503122) (Pubitemid 40840523)
21. Dall'Agata G and Ferrara S 2005 Gauged supergravity algebras from twisted tori compactifications with fluxes Nucl. Phys. B 717 223-45 (arXiv:hep-th/0502066) (Pubitemid 40714015)
22. Acharya B, Bobkov K, Kane G, Kumar P and Vaman D 2006 An M theory solution to the hierarchy problem Phys. Rev. Lett. 97 191601 (arXiv:hep-th/0606262)
23. 2-MSSM-an M theory motivated model of particle physics arXiv:0801.0478 [hep-th]
24. Conlon J P, Kom C H, Suruliz K, Allanach B C and Quevedo F 2007 Sparticle spectra and LHC signatures for large volume string compactifications J. High Energy Phys. JHEP08(2007)061 (arXiv:0704.3403 [hep-ph])
25. Hull C M 2007 Doubled geometry and T-folds J. High Energy Phys. JHEP07(2007)080 (arXiv:hep-th/0605149)
26. Dabholkar A and Hull C 2003 Duality twists, orbifolds, and fluxes J. High Energy Phys. JHEP09(2003)054 (arXiv:hep-th/0210209)
27. Flournoy A, Wecht B and Williams B 2005 Constructing nongeometric vacua in string theory Nucl. Phys. B 706 127-49 (arXiv:hep-th/0404217)
28. Dall'Agata G and Prezas N 2005 Scherk-Schwarz reduction of M-theory on G2-manifolds with fluxes J. High Energy Phys. JHEP10(2005)103 (arXiv:hep-th/0509052)
29. Blumenhagen R, Gorlich L, Kors B and Lust D 2000 Asymmetric orbifolds, noncommutative geometry and type I string vacua Nucl. Phys. B 582 44-64 (arXiv:hep-th/0003024)
30. Hull C M 2005 A geometry for non-geometric string backgrounds J. High Energy Phys. JHEP10(2005)065 (arXiv:hep-th/0406102)
31. Bergshoeff E, Sezgin E and Townsend P K 1987 Supermembranes and eleven-dimensional supergravity Phys. Lett. B 189 75-8
32. de Wit B, Hoppe J and Nicolai H 1988 On the quantum mechanics of supermembranes Nucl. Phys. B 305 545
33. de Wit B, Luscher M and Nicolai H 1989 The supermembrane is unstable Nucl. Phys. B 320 135
34. de Wit B, Marquard U and Nicolai H 1990 Area preserving diffeomorphisms and supermembrane Lorentz invariance Commun. Math. Phys. 128 39-62
35. de Wit B, Peeters K and Plefka J 1997 Supermembranes with winding Phys. Lett. B 409 117-23 (arXiv:hep-th/9705225)
36. Martin I, Restuccia A and Torrealba R S 1998 On the stability of compactified D = 11 supermembranes Nucl. Phys. B 521 117-28 (arXiv:hep-th/ 9706090)
37. Martin I, Ovalle J and Restuccia A 2001 D-branes, symplectomorphisms and noncommutative gauge theories Nucl. Phys. Proc. Suppl. 102 169-75
38. Martin I, Ovalle J and Restuccia A 2001 Compactified D = 11 supermembranes and symplectic noncommutative gauge theories Phys. Rev. D 64 046001 (arXiv:hep-th/0101236)
39. Garcia del Moral M P and Restuccia A 2002 On the spectrum of a noncommutative formulation of the D = 11 supermembrane with winding Phys. Rev. D 66 045023 (arXiv:hep-th/0103261)
40. Boulton L, Garcia del Moral M P, Martin I and Restuccia A 2002 On the spectrum of a matrix model for the D = 11 supermembrane compactified on a torus with non-trivial winding Class. Quantum Grav. 19 2951 (arXiv:hep-th/0109153)
41. Boulton L, Garcia del Moral M P and Restuccia A 2003 Discreteness of the spectrum of the compactified D = 11 supermembrane with non-trivial winding Nucl. Phys. B 671 343-58 (arXiv:hep-th/0211047)
42. Boulton L, Garcia del Moral M P and Restuccia A 2006 The supermembrane with central charges: (2+1)-D NCSYM, confinement and phase transition arXiv:hep-th/0609054
43. Bellorin J and Restuccia A 2006 D = 11 supermembrane wrapped on calibrated submanifolds Nucl. Phys. B 737 190-208 (arXiv:hep-th/0510259)
44. Boulton L and Restuccia A 2005 The heat kernel of the compactified D = 11 supermembrane with non-trivial winding Nucl. Phys. B 724 380-96 (arXiv:hep-th/0405216)
45. de Wit B, Peeters K and Plefka J 1998 Superspace geometry for supermembrane backgrounds Nucl. Phys. B 532 99-123 (arXiv:hep-th/9803209)
46. Garcia del Moral M P, Pena J M and Restuccia A 2007 N = 1 4D supermembrane from 11D arXiv:0709.4632 [hep-th]
47. Garcia del Moral M P, Martin I and Restuccia A 2008 Nonperturbative SL(2,Z) (p, q)-strings manifestly realized on the quantum M2 arXiv:0802.0573 [hep-th]
48. Belhaj A and Garcia del Moral M P 2005 On non commutative G2 structure J. Phys. A: Math. Gen. 38 2773-84 (arXiv:hep-th/0408011)
49. 2-manifolds and real LG Adv. Theor. Math. Phys. 6 207-78 (arXiv:hep-th/0203272)
50. Santillan O P 2003 A construction of G(2) holonomy spaces with torus symmetry Nucl. Phys. B 660 169-93 (arXiv:hep-th/0208190)
51. Joyce D 2000 Compact Manifolds of Special Holonomy (Oxford: Oxford University Press)
52. Witten E 1993 Phases of N = 2 theories in two dimensions Nucl. Phys. B 403 159 (arXiv:hep-th/9301042)
53. Aganagic M and Vafa C 2000 Mirror symmetry, D-branes and counting holomorphic discs arXiv:hep-th/0012041
54. Belhaj A 2002 Mirror symmetry and Landau Ginzburg Calabi-Yau superpotentials in F-theory compactifications J. Phys. A: Math. Gen. 35 965 (arXiv:hep-th/0112005)
55. Giraud J 1997 Cohomologie Non-Abelienne (Grundlehen der Mathematischen vol 179) (Berlin: Springer)
56. Brylinski J L 1993 Loop Spaces Characteristic Classes and Geometric Quantization (Progress in Mathematics vol 107) (Boston: Birkhäuser)
57. Caicedo M, Martín I and Restuccia A 2002 Gerbes and duality Ann. Phys. 300 32-53 (arXiv:hep-th/0205002)
58. Baez J C and Schreiber U 2005 Higher gauge theory arXiv:math/0511710
59. Baez J C 2002 Higher Yang-Mills theory arXiv:hep-th/0206130
60. Isidro J M 2005 Gerbes, quantum mechanics and gravity arXiv:hep-th/0510075
61. Mackaay M and Picken R 2000 The holonomy of gerbes with connections arXiv:math/0007053
62. Zehra Husain T 2003 M2-branes wrapped on holomorphic curves J. High Energy Phys. JHEP12(2003)037 (arXiv:hep-th/0211030)
63. Horava P and Witten E 1996 Heterotic and type I string dynamics from eleven-dimensions Nucl. Phys. B 460 506-24 (arXiv:hep-th/9510209) (Pubitemid 126166807)
64. Kato T 1995 Perturbation Theory for Linear Operators (Series in Mathematics vol 132) (Berlin: Springer) p 190
65. 2-holonomy spacetimes arXiv:hep-th/0101206
66. Acharya B and Witten E 2001 Chiral fermions from manifolds of G(2) holonomy arXiv:hep-th/0109152
67. Edelstein J D, Paredes A and Ramallo A V 2003 Let's twist again: general metrics of G(2) holonomy from gauged supergravity J. High Energy Phys. JHEP01(2003)011 (arXiv:hep-th/0211203)
68. Edelstein J D and Nunez C 2001 D6-branes and M theory geometrical transitions from gauged supergravity J. High Energy Phys. JHEP04(2001)028 (arXiv:hep-th/0103167)
69. Atiyah M, Maldacena J M and Vafa C 2001 An M theory flop as a large N duality J. Math. Phys. 42 3209-20 (arXiv:hep-th/0011256)
70. Cvetic M, Shiu G and Uranga A M 2001 Chiral type II orientifold constructions as M theory on G(2) holonomy spaces Proc. IX Int. Conf. on Supersymmetry and Unification of Fundamental Interactions (Dubna) (Singapore: World Scientific) pp 317-26 (arXiv:hep-th/0111179)
71. Harvey J A and Moore G W 1999 Superpotentials and membrane instantons arXiv:hep-th/9907026