Notes on matrix and micro strings

Nuclear Physics B - Proceedings Supplements

Volumn 68, Issue 1-3, 1998, Pages 28-54

  Dijkgraaf, Robbert ^a   Verlinde, E ^b,c   Verlinde, H ^d  

^a UNIVERSITY OF AMSTERDAM   (Netherlands)

^b CERN   (Switzerland)

^c UTRECHT UNIVERSITY   (Netherlands)

^d UNIVERSITY OF AMSTERDAM   (Netherlands)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0032209506     PISSN: 09205632     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0920-5632(98)00138-8     Document Type: Article

References (66)

1. 1. P. Townsend, "P-brane democracy," in Particles, Strings and Cosmology, eds. J. Bagger e.a. (World Scientific 1996), hep-th/9507048.
2. 2. E. Witten, "String Theory Dynamics in Various Dimensions," Nucl. Phys. B443 (1995) 85-126, hep-th/9503124.
3. 3. J. Polchinski, "Dirichlet Branes and Ramond Ramond Charges," hep-th/951001.
4. 4. R. Dijkgraaf, E. Verlinde and H. Verlinde, "BPS Spectrum of the Five-Brane and Black Hole Entropy," Nucl. Phys. B486 (1997) 77-88, hep-th/9603126; "BPS Quantization of the Five-Brane," Nucl. Phys. B486 (1997) 89-113, hep-th/9604055.
5. 4. R. Dijkgraaf, E. Verlinde and H. Verlinde, "BPS Spectrum of the Five-Brane and Black Hole Entropy," Nucl. Phys. B486 (1997) 77-88, hep-th/9603126; "BPS Quantization of the Five-Brane," Nucl. Phys. B486 (1997) 89-113, hep-th/9604055.
6. 5. E. Witten, "Bound States of Strings and p-Branes," Nucl. Phys. B460 (1996) 335-350, hep-th/9510135.
7. 6. U.H. Danielsson, G. Ferretti, and B, Sundborg, "D-particle Dynamics and Bound States," Int. J. Mod. Phys. A11 (1996) 5463-5478, hep-th/9603081; D. Kabat and P. Pouliot, "A Comment on Zerobrane Quantum Mechanics," Phys. Rev. Lett. 77 (1996) 1004-1007, hep-th/9603127.
8. 6. U.H. Danielsson, G. Ferretti, and B, Sundborg, "D-particle Dynamics and Bound States," Int. J. Mod. Phys. A11 (1996) 5463-5478, hep-th/9603081; D. Kabat and P. Pouliot, "A Comment on Zerobrane Quantum Mechanics," Phys. Rev. Lett. 77 (1996) 1004-1007, hep-th/9603127.
9. 7. M. R. Douglas, D. Kabat, P. Pouliot, and S. H. Shenker, "D-braries and Short Distances in String Theory," Nucl. Phys. B485 (1997) 85-127, hep-th/9608024.
10. 8. C. Hull and P. Townsend, "Unity of Superstring Dualities," Nucl. Phys. B 438 (1995) 109.
11. 9. T. Banks, W. Fischler, S. H. Shenker, and L. Susskind, "M Theory as a Matrix Model: A Conjecture," hep-th/9610043.
12. 10. L. Motl, "Proposals on Non-perturbative Superstring Interactions," hep-th/9701025.
13. 11. T. Banks and N. Seiberg, "Strings from Matrices," hep-th/9702187.
14. 12. R. Dijkgraaf, E. Verlinde, and H. Verlinde, "Matrix String Theory," hep-th/9703030.
15. 13. R. Dijkgraaf, E. Verlinde, and H. Verlinde, "5D Black Holes and Matrix Strings," hep-th/9704018.
16. 2," hep-th/9705221
17. 15. J. Hoppe, "Quantum Theory of a Relativistic Surface," Ph.D. Thesis, MIT (1982). B. de Wit, J. Hoppe and H. Nicolai, "On the Quantum Mechanics of Supermembranes," Nucl. Phys. B305 (1988) 545-581.
18. 15. J. Hoppe, "Quantum Theory of a Relativistic Surface," Ph.D. Thesis, MIT (1982). B. de Wit, J. Hoppe and H. Nicolai, "On the Quantum Mechanics of Supermembranes," Nucl. Phys. B305 (1988) 545-581.
19. 16. M. Rozali, "Matrix Theory and U-Duality in Seven Dimensions," hep-th/9702136.
20. 5," hep-th/9704089.
21. 18. W. Fishier, E. Halyo, A. Rajaraman, and L. Susskind, "The Incredible Shrinking Torus," hep-th/9703102.
22. 19. J.M. Maldacena and L. Susskind, "D-branes and Fat Black Holes," Nucl. Phys. B475 (1996) 679, hep-th/9604042.
23. 20. T. Banks, N. Seiberg, and S. Shenker, "Branes from Matrices," hep-th/9612157.
24. 21. H. Verlinde, "The Stringy Fivebrane," talk at Strings '96, Santa Barbara, June 1996.
25. 22. A. Strominger, C. Vafa, "Microscopic Origin of the Bekenstein-Hawking Entropy," hep-th/9601029.
26. 23. J. Maldacena, "Statistical Entropy of Near Extremal Five-branes," hep-th/9605016.
27. 24. For a recent account of these developments see J. Maldacena and A. Strominger, "Universal Low-Energy Dynamics for Rotating Black Holes" hep-th/9702015, and references therein.
28. 25. E. Witten, "Some Comments on String Dynamics," hep-th/9510135;
29. 26. A. Strominger, "Open P-Branes," hep-th/9512059; P. Townsend, "D-branes from M-branes," hep-th/9512062.
30. 26. A. Strominger, "Open P-Branes," hep-th/9512059; P. Townsend, "D-branes from M-branes," hep-th/9512062.
31. 27. A. Losev, G. Moore, S. L. Shatashvili, "M & m's," hep-th/9707250; N. Seiberg and S. Sethi "Comments on Neveu-Schwarz Five-Branes," hep-th/9708085
32. 27. A. Losev, G. Moore, S. L. Shatashvili, "M & m's," hep-th/9707250; N. Seiberg and S. Sethi "Comments on Neveu-Schwarz Five-Branes," hep-th/9708085
33. 28. P. Pasti, D. Sorokin, and M, Tonin, "Covariant Action for a D=11 Five-Brane with the Chiral Field," Phys.Lett. B398 (1997) 41-46, hep-th/9701037; M. Aganagic, J. Park, C. Popescu, J. Schwarz "World-Volume Action of the M Theory Five-Brane," Nucl.Phys. B496 (1997) 191-214, hep-th/9701166; J. Schwarz, "Remarks on the M5-Brane," talk at Strings '97, hep-th/9707119.
34. 28. P. Pasti, D. Sorokin, and M, Tonin, "Covariant Action for a D=11 Five-Brane with the Chiral Field," Phys.Lett. B398 (1997) 41-46, hep-th/9701037; M. Aganagic, J. Park, C. Popescu, J. Schwarz "World-Volume Action of the M Theory Five-Brane," Nucl.Phys. B496 (1997) 191-214, hep-th/9701166; J. Schwarz, "Remarks on the M5-Brane," talk at Strings '97, hep-th/9707119.
35. 28. P. Pasti, D. Sorokin, and M, Tonin, "Covariant Action for a D=11 Five-Brane with the Chiral Field," Phys.Lett. B398 (1997) 41-46, hep-th/9701037; M. Aganagic, J. Park, C. Popescu, J. Schwarz "World-Volume Action of the M Theory Five-Brane," Nucl.Phys. B496 (1997) 191-214, hep-th/9701166; J. Schwarz, "Remarks on the M5-Brane," talk at Strings '97, hep-th/9707119.
36. 29. D. Sorokin, P. Townsend, " M-theory superalgebra from the M-5-brane," hep-th/9708003
37. 30. E. Witten, "Five-Brane Effective Action In M-Theory" hep-th/9610234
38. 31. R. Dijkgraaf, G, Moore, E. Verlinde, and H. Verlinde, "Elliptic Genera of Symmetric Products and Second Quantized Strings," Commun. Math. Phys. hep-th/9608096.
39. 32. S. Mandelstam, "Lorentz Properties of the Three-String Vertex," Nucl. Phys. B83 (1974) 413-439; "Interacting-String Picture of the Fermionic String," Prog. Theor. Phys. Suppl. 86 (1986) 163-170.
40. 32. S. Mandelstam, "Lorentz Properties of the Three-String Vertex," Nucl. Phys. B83 (1974) 413-439; "Interacting-String Picture of the Fermionic String," Prog. Theor. Phys. Suppl. 86 (1986) 163-170.
41. 33. S-J. Rey, "Heterotic M(atrix) Strings and Their Interactions," hep-th/9704158.
42. 24 orbifold sigma model," hep-th/9708129.
43. 35. T. Wynter, "Gauge fields and interactions in matrix string theory," hep-th/9709029
44. 36. K. Becker and M. Becker, "A Two Loop Test of M(atrix) Theory, hep-th/9705091. K. Becker, M. Becker, J. Polchinski, and A. Tseytlin, "Higher Order Scattering in M(atrix) Theory," hep-th/9706072.
45. 36. K. Becker and M. Becker, "A Two Loop Test of M(atrix) Theory, hep-th/9705091. K. Becker, M. Becker, J. Polchinski, and A. Tseytlin, "Higher Order Scattering in M(atrix) Theory," hep-th/9706072.
46. 37. V. Knizhnik, Sov. Phys. Usp. 32 (1989) 945.
47. 38. W. Taylor, "D-brane Field Theory on Compact Spaces," hep-th/9611042.
48. 39. O.J. Ganor, S. Ramgoolam, and W. Taylor, "Branes, Fluxes and Duality in M(atrix)-Theory," hep-th/9611202.
49. 40. D. Kutasov, "Orbifold and Solitons," hep-th/9512145.
50. 41. M. Douglas, J. Polchinski, and A. Strominger, "Probing Five-Dimensional Black Holes with D-Branes," hep-th/9703031.
51. 42. M. Berkooz and M. Douglas, "Fivebranes in M(atrix) Theory," hep-th/9610236.
52. 43. O. Aharony, M. Berkooz, S. Kachru, N. Seiberg, and E. Silverstein, "Matrix Description of Interacting Theories in Six Dimensions," hep-th/9707079
53. 44. E. Witten, "On the Conformal Field Theory of the Higgs Branch," hep-th/9707093
54. 45. D. Diaconescu and N. Seiberg, "The Coulomb Branch of (4,4) Supersymmetric Field Theories in Two Dimensions," hep-th/9707158
55. 46. P. Aspinwal, "Enhanced Gauge Symmetries and K3 Surfaces," Phys. Lett. B357 (1995) 329, hep-th/9507012.
56. 47. C. Callan, J. Harvey and A. Strominger, "World-Sheet Approach to Heterotic Solitons and Instantons," Nucl. Phys. 359 (1991) 611; I. Antoniadis, C. Bachas, J. Ellis and D. Nanopoulos, "Cosmological String Theories and Discrete Inflation," Phys. Lett. 211B (1988) 393; Nucl. Phys. B328 (1989) 117; S.-J. Rey, "Confining Phase of Superstrings and Axionic Strings," Phys. Rev. D43 (1991) 439.
57. 47. C. Callan, J. Harvey and A. Strominger, "World-Sheet Approach to Heterotic Solitons and Instantons," Nucl. Phys. 359 (1991) 611; I. Antoniadis, C. Bachas, J. Ellis and D. Nanopoulos, "Cosmological String Theories and Discrete Inflation," Phys. Lett. 211B (1988) 393; Nucl. Phys. B328 (1989) 117; S.-J. Rey, "Confining Phase of Superstrings and Axionic Strings," Phys. Rev. D43 (1991) 439.
58. 47. C. Callan, J. Harvey and A. Strominger, "World-Sheet Approach to Heterotic Solitons and Instantons," Nucl. Phys. 359 (1991) 611; I. Antoniadis, C. Bachas, J. Ellis and D. Nanopoulos, "Cosmological String Theories and Discrete Inflation," Phys. Lett. 211B (1988) 393; Nucl. Phys. B328 (1989) 117; S.-J. Rey, "Confining Phase of Superstrings and Axionic Strings," Phys. Rev. D43 (1991) 439.
59. 47. C. Callan, J. Harvey and A. Strominger, "World-Sheet Approach to Heterotic Solitons and Instantons," Nucl. Phys. 359 (1991) 611; I. Antoniadis, C. Bachas, J. Ellis and D. Nanopoulos, "Cosmological String Theories and Discrete Inflation," Phys. Lett. 211B (1988) 393; Nucl. Phys. B328 (1989) 117; S.-J. Rey, "Confining Phase of Superstrings and Axionic Strings," Phys. Rev. D43 (1991) 439.
60. 48. M. Li and E. Martinec, "Matrix Black Holes," hep-th/9703211; talk at Strings '97, hep-th/9709114.
61. 48. M. Li and E. Martinec, "Matrix Black Holes," hep-th/9703211; talk at Strings '97, hep-th/9709114.
62. 49. J. A. Harvey and A. Strominger, "The Heterotic String is a Soliton," Nucl. Phys. B 449 (1995) 535-552; Nucl. Phys. B458 (1996) 456-473, hep-th/9504047. S. Cherkis and J.H. Schwarz, "Wrapping the M Theory Five-Brane on K3," hep-th/9703062.
63. 49. J. A. Harvey and A. Strominger, "The Heterotic String is a Soliton," Nucl. Phys. B 449 (1995) 535-552; Nucl. Phys. B458 (1996) 456-473, hep-th/9504047. S. Cherkis and J.H. Schwarz, "Wrapping the M Theory Five-Brane on K3," hep-th/9703062.
64. 49. J. A. Harvey and A. Strominger, "The Heterotic String is a Soliton," Nucl. Phys. B 449 (1995) 535-552; Nucl. Phys. B458 (1996) 456-473, hep-th/9504047. S. Cherkis and J.H. Schwarz, "Wrapping the M Theory Five-Brane on K3," hep-th/9703062.
65. 50. R. Dijkgraaf, E. Verlinde, and H. Verlinde, "Counting Dyons in N=4 String Theory," Nucl.Phys. B 484 (1997) 543, hep-th/9607026
66. 51. T. Kawai, "N = 2 Heterotic String Threshold Correction, K3 Surface and Generalized Kac-Moody Superalgebra," hep-th/9512046.