The worldsheet perspective of t-duality symmetry in string theory

International Journal of Modern Physics A

Volumn 28, Issue 7, 2013, Pages

  Maharana, Jnanadeva ^a,b  

^a INSTITUTE OF PHYSICS   (India)

^b NISER   (India)

Author keywords

excited massive levels stringy symmetries; vertex operators; Worldsheet T duality

Indexed keywords

EID: 84874944992     PISSN: 0217751X     EISSN: None     Source Type: Journal    
DOI: 10.1142/S0217751X13300111     Document Type: Review

References (110)

1. M. B. Green, J. H. Schwarz and E. Witten, Superstring Theory, Vols. I and II (Cambridge University Press, 1987).
2. J. Polchinski, String Theory, Vols. I and II (Cambridge University Press, 1998).
3. K. Becker, M. Becker and J. H. Schwarz, String Theory and M-Theory: A Modern Introduction (Cambridge University Press, 2007).
4. B. Zwiebach, A First Course in String Theory (Cambridge University Press, 2004).
5. M. Kaku, Introduction to Superstring and M-theory (Springer, 1998).
6. E. Kiritsis, String Theory in Nutshell (Princeton University Press, 2007).
7. M. Gasperini, Elements of String Cosmology (Cambridge University Press, 2007).
8. A. Giveon, M. Porrati and E. Rabinovici, Phys. Rep. 244, 77 (1994).
9. J. H. Schwarz, Nucl. Phys. B (Proc. Suppl.) 55, 1 (1997).
10. P. K. Townsend, Four lectures on M-theory, arXiv:hep-th/9607201.
11. A. Sen, Introduction to Duality Symmetry in String Theory, Les Houches Lectures, eds. C. Bachas et al. (Springer-Verlag, Berlin-Heidelberg, 2001), p. 241.
12. A. Sen, An introduction to nonperturbative string theory, arXiv:hep-th/980205.
13. M. Duff, R. Khuri and J. Lu, Phys. Rep. 259, 213 (1995).
14. J. Maharana, Recent developments in string theory, arXiv:hep-th/9911200.
15. J. E. Lidsey, D. Wands and E. J. Copeland, Phys. Rep. 337, 343 (2000).
16. M. Gasperini and G. Veneziano, Phys. Rep. 373, 1 (2003).
17. K. Igi and S. Matsuda, Phys. Rev. Lett. 18, 625 (1967).
18. R. Dolen, D. Horn and C. Schmid, Phys. Rev. Lett. 19, 402 (1967).
19. V. De Alfaro, S. Fubini, G. Furlan and C. Rossetti, Currents in Hadron Physics (North-Holland, 1973).
20. G. Veneziano, Nuovo Cimento A 57, 190 (1968).
21. M. A. Virasoro, Phys. Rev. 177, 2309 (1969).
22. J. Maharana and J. H. Schwarz, Nucl. Phys. B 390, 3 (1993).
23. J. Maharana, Nucl. Phys. B 843, 753 (2011), arXiv:1010.1434.
24. J. Scherk and J. H. Schwarz, Nucl. Phys. B 194, 61 (1979).
25. K. Kikkawa and M. Yamazaki, Phys. Lett. B 149, 357 (1984).
26. N. Sakai and I. Sanda, Prog. Theor. Phys. 75, 692 (1986).
27. V. P. Nair, A. Shapere, A. Strominger and F. Wilczek, Nucl. Phys. B 287, 402 (1987).
28. B. Sathiapalan, Phys. Rev. Lett. 58, 1597 (1987).
29. R. Dijkgraaf, E. Verlinde and H. Verlinde, Commun. Math. Phys. 115, 649 (1988).
30. K. S. Narain, Phys. Lett. B 169, 41 (1986).
31. K. S. Narain, M. H. Sarmadi and E. Witten, Nucl. Phys. B 279, 369 (1987).
32. P. Ginsparg, Phys. Rev. D 35, 648 (1987).
33. P. Gisnparg and C. Vafa, Nucl. Phys. B 289, 414 (1987).
34. S. Cecotti, S. Ferrara and L. Giraldello, Nucl. Phys. B 308, 436 (1988).
35. R. Brandenberger and C. Vafa, Nucl. Phys. B 316, 391 (1988).
36. M. Dine, P. Huet and N. Seiberg, Nucl. Phys. B 322, 301 (1989).
37. J. Molera and B. Ovrut, Phys. Rev. D 40, 1146 (1989). 1330011-48 The Worldsheet Perspective of T-Duality Symmetry in String Theory
38. G. Veneziano, Phys. Lett. B 265, 287 (1991).
39. A. A. Tseytlin and C. Vafa, Nucl. Phys. B 372, 443 (1992).
40. M. Rocek and E. Verlinde, Nucl. Phys. 373, 630 (1992).
41. J. H. Horne, G. T. Horowitz and A. R. Steif, Phys. Rev. Lett. 68, 568 (1992).
42. A. Sen, Phys. Lett. B 271, 295 (1992).
43. A. Font, L. Ibanez, D. Lust and F. Quevedo, Phys. Lett. B 249, 35 (1990).
44. A. Shapere, S. Trivedi and F. Wilczek, Mod. Phys. Lett. A 6, 2677 (1991).
45. S.-J. Rey, Phys. Rev. D 43, 526 (1991).
46. J. H. Schwarz and A. Sen, Nucl. Phys. 411, 35 (1994).
47. A. Sen, Int. J. Mod. Phys. A 9, 3707 (1994).
48. A. Shapere and F. Wilczek, Nucl. Phys. B 320, 669 (1989).
49. A. Giveon, E. Rabinovici and G. Veneziano, Nucl. Phys. B 322, 167 (1989).
50. A. Giveon, N. Malkin and E. Rabinovici, Phys. Lett. B 220, 551 (1989).
51. W. Lerche, D. Luand̈st and N. P. Warner, Phys. Lett. B 231, 417 (1989).
52. K. Meissner and G. Veneziano, Phys. Lett. B 267, 33 (1991).
53. K. Meissner and G. Veneziano, Mod. Phys. Lett. A 6, 3397 (1991).
54. M. Gasperini, J. Maharana and G. Veneziano, Phys. Lett. B 272, 277 (1991).
55. M. Gasperini, J. Maharana and G. Veneziano, Phys. Lett. B 296, 51 (1992).
56. M. J. Duff, Nucl. Phys. B 335, 610 (1990).
57. J. Maharana, Phys. Lett. B 296, 65 (1992), arXiv:hep-th/9205015.
58. S. F. Hassan and A. Sen, Nucl. Phys. B 375, 103 (1992).
59. S. R. Das and B. Sathiapalan, Phys. Rev. Lett. 57, 1511 (1986).
60. C. Itoi and Y. Watabiki, Phys. Lett. B 198, 486 (1987).
61. J. Maharana and G. Veneziano, Nucl. Phys. B 283, 126 (1987).
62. J. Maharana and G. Veneziano, unpublished works (1986, 1991 and 1993).
63. T. Kubota and G. Veneziano, Phys. Lett. B 207, 419 (1988).
64. J. Maharana, Novel symmetries of string theory, in String Theory and Fundamental Interactions, Springer Lecture Notes in Physics, Vol. 737, eds. G. Gasperini and J. Maharana (Springer, Berlin, Heidelberg, 2008), p. 525.
65. E. Evans and B. Ovrut, Phys. Rev. D 39, 3016 (1989).
66. E. Evans and B. Ovrut, Phys. Rev. D 41, 3149 (1990).
67. J.-C. Lee and B. A. Ovrut, Nucl. Phys. B 336, 222 (1990).
68. R. Akhoury and Y. Okada, Nucl. Phys. B 318, 176 (1989).
69. B. A. Ovrut and S. Kalyan Rama, Phys. Rev. D 45, 550 (1992).
70. E. Accomando, I. Antoniadis and K. Benakli, Nucl. Phys. 579, 3 (2000).
71. M. Bianchi, L. Lopez and R. Richter, J. High Energy Phys. 1103, 051 (2011).
72. W.-Z. Feng and T. R. Taylor, Nucl. Phys. B 856, 247 (2012).
73. W.-Z. Feng, D. Lust, O. Schlotterer, S. Stieberger and T. R. Taylor, Nucl. Phys. B 843, 570 (2011).
74. D. J. Gross and P. Mende, Phys. Lett. B 197, 129 (1987).
75. D. J. Gross and P. Mende, Nucl. Phys. B 303, 407 (1988).
76. D. Amati, M. Ciafaloni and G. Veneziano, Phys. Lett. B 197, 81 (1987).
77. D. Amati, M. Ciafaloni and G. Veneziano, Int. J. Mod. Phys. A 3, 1615 (1988).
78. D. Amati, M. Ciafaloni and G. Veneziano, Phys. Lett. B 216, 41 (1989).
79. D. Amati, M. Ciafaloni and G. Veneziano, Phys. Lett. B 289, 87 (1989).
80. D. Amati, M. Ciafaloni and G. Veneziano, Nucl. Phys. B 403, 707 (1993).
81. D. J. Gross, Phys. Rev. Lett. 60, 1229 (1988).
82. A. Sagnotti, Notes on strings and higher spins, arXiv:1112.4285.
83. J. Maharana, Phys. Lett. B 695, 370 (2011), arXiv:1010.1727.
84. J. Maharana, Int. J. Mod. Phys. A 27, 1250140 (2012). 1330011-49 J. Maharana
85. A. Das and J. Maharana, Mod. Phys. Lett. A 9, 1361 (1994), arXiv:hep-th/9401147.
86. W. Siegel, Phys. Rev. D 48, 2826 (1993), arXiv:hep-th/9308138.
87. E. Alvarez, L. Alvarez-Gaume and Y. Lozano, Phys. Lett. B 336, 183 (1994), arXiv:hep-th/9406206.
88. S. F. Hassan, Nucl. Phys. B 460, 362 (1995), arXiv:hep-th/9504148.
89. T. Curtright, T. Uematsu and C. Zachos, Nucl. Phys. 469, 488 (1996), arXiv:hepth/ 9601096.
90. B. Kulik and R. Roiban, J. High Energy Phys. 0209, 007 (2002), arXiv:hepth/ 0012010.
91. E. Abdalla and M. C. B. Abadalla, Phys. Lett. B 152, 50 (1984).
92. E. Abdalla and K. Rothe, Non-perturbative Methods in 2 Dimensional Quantum Field Theory (World Scientific, Singapore, 1991).
93. J. Maharana, Mod. Phys. Lett. A 20, 2317 (2005).
94. P. di Vecchia, V. G. Knizhnik, J. L. Peterson and P. Rossi, Nucl. Phys. B 253, 701 (1985).
95. E. Braaten, T. Curtright and C. Zachos, Nucl. Phys. B 260, 630 (1984).
96. O. Aharony, S. S. Gubser, J. Maldacena, H. Ooguri and Y. Oz, Phys. Rep. C 323, 183 (2000).
97. J. H. Schwarz, Phys. Lett. B 360, 13 (1995), arXiv:hep-th/9508143.
98. J. H. Schwarz, Phys. Lett. B 367, 97 (1996), arXiv:hep-th/9509148.
99. J. Maharana, Phys. Lett. B 372, 53 (1996), arXiv:hep-th/9511159.
100. E. Witten, Phys. Rev. Lett. 61, 670 (1988).
101. A. A. Tseytlin, Phys. Lett. B 242, 163 (1990).
102. A. A. Tseytlin, Nucl. Phys. B 350, 395 (1991).
103. A. A. Tseytlin, Phys. Rev. Lett. 66, 545 (1991).
104. T. Kugo and B. Zwiebach, Prog. Theor. Phys. 87, 801 (1992).
105. C. Hull and B. Zwiebach, J. High Energy Phys. 0909, 099 (2009), arXiv:0904.4664.
106. C. Hull and B. Zwiebach, J. High Energy Phys. 0909, 090 (2009), arXiv:0908.1792.
107. A. Dabholkar and C. Hull, J. High Energy Phys. 0605, 009 (2006), arXiv:hepth/ 0512005.
108. O. Hohm, C. Hull and B. Zwiebach, J. High Energy Phys. 1008, 008 (2010), arXiv:1006.4823.
109. O. Hohm, S. K. Kwak and B. Zwiebach, Double field theory of type II strings, arXiv:1107.0008.
110. D. S. Berman and D. C. Thompson, Phys. Lett. B 662, 279 (2008), and references therein.