Constructions of noncommutative instantons on T4 and K3

Nuclear Physics B

Volumn 591, Issue 1-2, 2000, Pages 547-583

  Ganor, Ori J ^a   Mikhailov, Andrei Yu ^a   Saulina, Natalia ^a  

^a PRINCETON UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0000942659     PISSN: 05503213     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0550-3213(00)00533-2     Document Type: Article

References (73)

1. Connes A., Douglas M.R., Schwarz A. Noncommutative geometry and matrix theory: compactification on tori. JHEP. Vol. 02:1998;003 hep-th/9711162.
2. Douglas M.R., Hull C. D-branes and the noncommutative torus. JHEP. Vol. 02:1998;008 hep-th/9711165.
3. Seiberg N., Witten E. String theory and noncommutative geometry. JHEP. Vol. 9909:1999;032 hep-th/9908142.
4. 4 and (2,0) superconformal six-dimensional theory. hep-th/9802068.
5. Berkooz M. Non-local field theories and the non-commutative torus. hep-th/9802069.
6. Minwalla S., van Ramsdonk M., Seiberg N. Noncommutative perturbative dynamics. hep-th/9912072.
7. Matusis A., Susskind L., Toumbas N. The IR/UV connection in the noncommutative gauge theories. hep-th/0002075.
8. Armoni A. Comments on perturbative dynamics of noncommutative Yang-Mills theory. hep-th/0005208.
9. Kapustin A., Kuznetsov A., Orlov D. Noncommutative instantons and twistor transform. hep-th/0002193.
10. Friedman R., Morgan J., Witten E. Vector bundles and F theory. Commun. Math. Phys. Vol. 187:1997;679 hep-th/9701162.
11. Bershadsky M., Johansen A., Pantev T., Sadov V. Four-dimensional compactifications of F-theory. Nucl. Phys. B. Vol. 505:1997;165 hep-th/9701165.
12. Banks T., Fischler W., Shenker S.H., Susskind L. M-theory as a matrix model: a conjecture. hep-th/9610043.
13. Aharony O., Berkooz M., Kachru S., Seiberg N., Silverstein E. Matrix description of interacting theories in six dimensions. Adv. Theor. Math. Phys. Vol. 1:1998;148 hep-th/9707079.
14. Witten E. On the conformal field theory of the Higgs branch. hep-th/9707093.
15. Ganor O.J., Sethi S. New perspectives on Yang-Mills theories with 16 supersymmetries. JHEP. Vol. 01:1998;007 hep-th/9712071.
16. Aharony O., Berkooz M., Seiberg N. Light-cone description of (2,0) superconformal theories in six dimensions. hep-th/9712117.
17. Intriligator K., Seiberg N. Mirror symmetry in three-dimensional gauge theories. hep-th/9607207.
18. Seiberg N. IR dynamics on branes and space-time geometry. Phys. Lett. B. Vol. 384:1996;81 hep-th/9606017.
19. Kachru S., Vafa C. Exact results for N=2 compactifications of heterotic strings. Nucl. Phys. B. Vol. 450:1995;69 hep-th/9505105.
20. Douglas M.R., Moore G. D-branes, quivers, and ALE instantons. hep-th/9603167.
21. Seiberg N., Witten E. Gauge dynamics and compactification to three dimensions. hep-th/9607163.
22. Intriligator K. New string theories in six dimensions via branes at orbifold singularities. hep-th/9708117.
23. Cheung Y.-K.E., Ganor O.J., Krogh M., Mikhailov A.Yu. Noncommutative instantons and twisted ( 2,0 ) and little string theories. hep-th/9812172.
24. Kapustin A., Sethi S. The Higgs branch of impurity theories. hep-th/9804027.
25. 2 . Phys. Lett. B. Vol. 408:1997;98 hep-th/9705221.
26. Intriligator K. Compactified little-string theories and compact moduli spaces of vacua. hep-th/9909219.
27. Seiberg N., Witten E. Electric-magnetic duality, monopole condensation, and confinement in N=2 supersymmetric Yang-Mills theory. Nucl. Phys. B. Vol. 426:1994;19 hep-th/9407087.
28. Astashkevich A., Nekrasov N., Schwarz A. On noncommutative Nahm transform. Commun. Math. Phys. Vol. 211:2000;167 hep-th/9810147.
29. Schwarz A. Morita equivalence and duality. Nucl. Phys. B. Vol. 534:1998;720 hep-th/9805034.
30. Rieffel M.A., Schwarz A. Morita equivalence of multidimensional noncommutative tori. math.QA/9803057.
31. Morariu B., Zumino B. Super Yang-Mills on the noncommutative torus. hep-th/9807198.
32. Brace D., Morariu B. A note on the BPS spectrum of the matrix model. JHEP. Vol. 02:1999;004 hep-th/9810185.
33. Brace D., Morariu B., Zumino B. Dualities of the matrix model from T duality of the type II string. Nucl. Phys. B. Vol. 545:1999;192 hep-th/9810099.
34. Konechny A., Schwarz A. BPS states on noncommutative tori and duality. Nucl. Phys. B. Vol. 550:1999;561 hep-th/9811159.
35. Brace D., Morariu B., Zumino B. T duality and Ramond-Ramond backgrounds in the matrix model. Nucl. Phys. B. Vol. 549:1999;181 hep-th/9811213.
36. Hofman C., Verlinde E. Gauge bundles and Born-Infeld on the noncommutative torus. Nucl. Phys. B. Vol. 547:1999;157 hep-th/9810219.
37. Hofman C., Verlinde E. U-duality of Born-Infeld on the noncommutative two-torus. JHEP. Vol. 9812:1998;010 hep-th/9810116.
38. * -Algebras. 1998;American Mathematical Society, Providence, RI.
39. Pioline B., Schwarz A. Morita equivalence and T-duality (or B versus theta). JHEP. Vol. 9908:1999;021 hep-th/9908019.
40. Sheikh-Jabbari M.M. Noncommutative super Yang-Mills theories with 8 supercharges and brane configurations. hep-th/0001089.
41. Griffiths P., Harris J. Principles of Algebraic Geometry. 1994;Wiley, Chichester.
42. Kontsevich M. Deformation quantization of Poisson manifolds-I. q-alg/9709040.
43. Fedosov B. A simple geometrical construction of deformation quantization. J. Diff. Geom. Vol. 40:1994;213.
44. Cattaneo A.S., Felder G. A path integral approach to the Kontsevich quantization formula. math.QAS/9902090.
45. de Wilde M., Le Compte P.B.A. Existence of star-products on exact symplectic manifolds. Ann. Inst. Fourier. Vol. 35:1985;117.
46. Lerche W., Minasian R., Schweigert C., Theisen S. A note on the geometry of CHL heterotic strings. Phys. Lett. B. Vol. 424:1998;53 hep-th/9711104.
47. Bianchi M. A note on toroidal compactifications of the type-I superstring and other superstring vacuum configurations with 16 supercharges. Nucl. Phys. B. Vol. 528:1998;73 hep-th/9711201.
48. Witten E. Compactification without vector structure. JHEP. Vol. 9802:1998;006 hep-th/9712028.
49. Witten E. Small instantons in string theory. Nucl. Phys. B. Vol. 460:1996;541 hep-th/9511030.
50. 8 theory. Nucl. Phys. B. Vol. 487:1997;93 hep-th/9610251.
51. Ganor O.J. Toroidal compactification of heterotic 6D non-critical strings down to four dimensions. Nucl. Phys. B. Vol. 488:1997;223 hep-th/9608109.
52. Douglas M.R., Lowe D.A., Schwarz J.H. Probing F-theory with multiple branes. hep-th/9612062.
53. Schwarz J. Noncompact symmetries in string theory. hep-th/9207016.
54. Duff M., Liu J., Minasian R. Eleven-dimensional origin of string/string duality: a one loop test. hep-th/9506126.
55. Dijkgraaf R. Instanton strings and hyperkahler geometry. hep-th/9810210.
56. 3 surfaces I. Atiyah M.F., et al. Vector Bundles on Algebraic Varieties, Oxford. 1987.
57. Sen A. Dynamics of multiple Kaluza-Klein monopoles in M-theory and string theory. Adv. Theor. Math. Phys. Vol. 115:1998;1 hep-th/9707042.
58. Witten E. Heterotic string conformal string theory and ADE singularity. hep-th/9909229.
59. Rozali M. Hyper-multiplet moduli space and three-dimensional gauge theories. hep-th/9910238.
60. Krogh M. S-duality and tensionless 5-branes in compactified heterotic string theory. JHEP. Vol. 9912:1999;018 hep-th/9911084.
61. 3 orbifolds. Nucl. Phys. B. Vol. 503:1997;533 hep-th/9705104.
62. Vafa C. Instantons on D-branes. Nucl. Phys. B. Vol. 463:1996;435 hep-th/9512078.
63. 4 . hep-th/9912272.
64. Witten E. Bound states of strings and p -branes. Nucl. Phys. B. Vol. 460:1996;335 hep-th/9510135.
65. Strominger A. Open p -branes. Phys. Lett. B. Vol. 383:1996;44 hep-th/9512059.
66. Banks T., Douglas M.R., Seiberg N. Probing F-theory with branes. Phys. Lett. B. Vol. 387:1996;278 hep-th/9605199.
67. Blum J.D., Intriligator K. New phases of string theory and 6d RG fixed points via branes at orbifold singularities. Nucl. Phys. B. Vol. 506:1997;199 hep-th/9705044.
68. Connes A. Noncommutative Geometry. 1994;Academic Press, Boston, MA.
69. Witten E. Solutions of four-dimensional field theories via M theory. Nucl. Phys. B. Vol. 500:1997;3 hep-th/9703166.
70. S.K. Donaldson, An application of gauge theory to four-dimensional topology, J. Differential Geom. 18, 279.
71. Uhlenbeck K., Yau S.T. Preprint. 1986.
72. Mikhailov A.Yu. D1-D5 system and noncommutative geometry. hep-th/9910126.
73. Periwal V. Nonperturbative effects in deformation quantization. hep-th/0006001.