An inverse Penrose limit and supersymmetry enhancement in the presence of tensor central charges

Journal of High Energy Physics

Volumn 6, Issue 8, 2002, Pages 149-172

  Zheltukhin, Aleksandr A ^a,b   Uvarov, Dmitriy V ^a  

^a KHARKOV INSTITUTE OF PHYSICS AND TECHNOLOGY   (Ukraine)

^b STOCKHOLM UNIVERSITY   (Sweden)

Author keywords

Penrose limit and pp wave background; Superstrings and Heterotic Strings

Indexed keywords

EID: 23044451708     PISSN: 10298479     EISSN: 10298479     Source Type: Journal    
DOI: 10.1088/1126-6708/2002/08/008     Document Type: Article

References (99)

1. M. Blau, J. Figueroa-O'Farrill, C. Hull and G. Papadopoulos, Penrose limits and maximal supersymmetry, Class, and Quant. Grav. 19 (2002) L87 [hep-th/0201081].
2. M. Blau, J. Figueroa-O'Farrill, C. Hull and G. Papadopoulos, A new maximally supersymmetric background of iib superstring theory, J. High Energy Phys. 01 (2002) 047 [hep-th/0110242].
3. J. Kowalski-Glikman, Vacuum states in supersymmetric Kaluza-Klein theory, Phys. Lett. B 134 (1984) 194.
4. R. Penrose, Any space-time has a plane wave as a limit, Differential geometry and a relativity, Reidel, Dordrecht 1976, pp. 271-275.
5. R. Güven, Plane wave limits and T-duality, Phys. Lett. B 482 (2000) 255 [hep-th/0005061].
6. R.R. Metsaev, Type IIB Green-Schwarz superstring in plane wave Ramond-Ramond background, Nucl. Phys. B 625 (2002) 70 [hep-th/0112044].
7. D. Berenstein, J.M. Maldacena and H. Nastase, Strings in flat space and pp waves from N = 4 super Yang-Mills, J. High Energy Phys. 04 (2002) 013 [hep-th/0202021].
8. L.A. Pando Zayas and J. Sonnenschein, On Penrose limits and gauge theories, J. High Energy Phys. 05 (2002) 010 [hep-th/0202186].
9. A.A. Zheltukhin, Tension as a perturbative parameter in non-linear string equations in curved space-time, Class, and Quant. Grav. 13 (1996) 2357 [hep-th/9606013].
10. S.N. Roshchupkin and A.A. Zheltukhin, Variational principle and a perturbative solution of non-linear string equations in curved space, Nucl. Phys. B 543 (1999) 365 [hep-th/9806054].
11. H.J. de Vega and N. Sanchez, A new approach to string quantization in curved space-times, Phys. Lett. B 197 (1987) 320;
12. The scattering of strings by a black hole, Nucl. Phys. B 309 (1988) 577.
13. U. Lindström, M. Zabzine and A. Zheltukhin, Limits of the D-brane action, J. High Energy Phys. 12 (1999) 016 [hep-th/9910159].
14. C.M. Hull, String dynamics at strong coupling, Nucl. Phys. B 468 (1996) 113 [hep-th/9512181].
15. U. Lindström and R. von Unge, A picture of D-branes at strong coupling, Phys. Lett. B 403 (1997) 233 [hep-th/9704051].
16. H. Gustafsson and U. Lindström, A picture of D-branes at strong coupling, 2. Spinning partons, Phys. Lett. B 440 (1998) 43 [hep-th/9807064].
17. A. Schild, Classical null strings, Phys. Rev. D 16 (1977) 1722.
18. J. Stachel, Thickening the string, 2. The null string dust, Phys. Rev. D 21 (1980) 2182.
19. A. Karlhede and U. Lindström, The classical bosonic string in the zero tension limit, Class, and Quant. Grav. 3 (1986) L73.
20. F. Lizzi, B. Rai, G. Sparano and A. Srivastava, Quantization of the null string and absence of critical dimensions, Phys. Lett. B 182 (1986) 326.
21. A.A. Zheltukhin, Hamiltonian structure of the antisymmetric action of a string, JETP Lett. 46 (1987) 262;
22. A Hamiltonian of null strings. An invariant action of null (super)membranes, Sov. J. Nucl. Phys. 48 (1988) 375.
23. A.A. Zheltukhin and S.N. Roshchupkin, On an approximate description of string and p-brane dynamics in curved space-time, Theor. Math. Phys. 111 (1997) 714.
24. I.A. Bandos and A.A. Zheltukhin, Null super p-brane quantum theory in 4-dimensional space-time, Fortschr. Phys. 41 (1993) 619.
25. P.L. Bozhilov, Null p-branes, Ph.D. Thesis, Inst. for Nucl. Reseach and Nucl. Energy, Sofia, Bulgariya [hep-th/0011032].
26. A.Z. Petrov, New methods in general relativity, Nauka, Moscow 1966.
27. A.A. Zheltukhin and U. Lindström, Strings in a space with tensor central charge coordinates, Nucl. Phys. 102 (Proc. Suppl.) (2001) 126 [hep-th/0103101].
28. A. Schwarz, Gauge theories on noncommutative spaces, hep-th/0011261.
29. A. Connes, M.R. Douglas and A. Schwarz, Noncommutative geometry and matrix theory: compactification on tori, J. High Energy Phys. 02 (1998) 003 [hep-th/9711162].
30. M. Douglas and C. Hull, D-branes and the noncommutative torus, J. High Energy Phys. 02 (1998) 008 [hep-th/9711165].
31. N. Seiberg and E. Witten, String theory and noncommutative geometry, J. High Energy Phys. 09 (1999) 032 [hep-th/9908142].
32. N. Seiberg, L. Susskind and N. Toumbas, Strings in background electric field, space/time noncommutativity and a new noncritical string theory, J. High Energy Phys. 06 (2000) 021 [hep-th/0005040].
33. R. Gopakumar, J.M. Maldacena, S. Minwalla and A. Strominger, S-duality and noncommutative gauge theory, J. High Energy Phys. 06 (2000) 036 [hep-th/0005048].
34. R. Gopakumar, S. Minwalla, N. Seiberg and A. Strominger, OM theory in diverse dimensions, J. High Energy Phys. 08 (2000) 008 [hep-th/0006062].
35. S. Gukov, I.R. Klebanov and A.M. Polyakov, Dynamics of (n, 1) strings, Phys. Lett. B 423 (1998) 64 [hep-th/9711112].
36. J.A. de Azcarraga, J.P. Gauntlett, J.M. Izquierdo and P.K. Townsend, Topological extensions of the supersymmetry algebra for extended objects, Phys. Rev. Lett. 63 (1989) 2443.
37. G.W. Gibbons and P.K. Townsend, A bogomolnyi equation for intersecting domain walls, Phys. Rev. Lett. 83 (1999) 1727 [hep-th/9905196].
38. G.R. Dvali and M.A. Shifman, Domain walls in strongly coupled theories, Phys. Lett. B 396 (1997) 64 [hep-th/9612128], erratum ibid. 407 (1997) 452.
39. A. Gorsky and M.A. Shifman, More on the tensorial central charges in N = 1 supersymmetric gauge theories (BPS wall junctions and strings), Phys. Rev. D 61 (2000) 085001 [hep-th/9909015].
40. G. Veneziano and S. Yankielowicz, An effective lagrangian for the pure N = 1 supersymmetric Yang-Milb theory, Phys. Lett. B 113 (1982) 231.
41. T. Curtright, Are there any superstrings in eleven-dimensions?, Phys. Rev. Lett. 60 (1988) 393.
42. M.B. Green, Supertranslations, superstrings and Chern-Simons forms, Phys. Lett. B 223 (1989) 157.
43. W. Siegel, Randomizing the superstring, Phys. Rev. D 50 (1994) 2799 [hep-th/9403144].
44. E. Bergshoeff and E. Sezgin, Superp-brane theories and new space-time superalgebras, Phys. Lett. B 354 (1995) 256 [hep-th/9504140].
45. E. Sezgin, The m-algebra, Phys. Lett. B 392 (1997) 323 [hep-th/9609086].
46. S. Hewson, Generalised supersymmetry and p-brane actions, Nucl. Phys. B 501 (1997) 445 [hep-th/9701011].
47. I.V. Rudychev, From superalgebras to superparticles and superbranes, hep-th/0104031.
48. J.P. Gauntlett, G.W. Gibbons, C.M. Hull and P.K. Townsend, BPS states of D = 4 N = 1 supersymmetry, Commun. Math. Phys. 216 (2001) 431 [hep-th/0001024].
49. J.P. Gauntlett and C.M. Hüll, BPS states with extra supersymmetry, J. High Energy Phys. 01 (2000) 004 [hep-th/9909098].
50. H. Lu and C.N. Pope, Multi-scalar p-brane solitons, Int. J. Mod. Phys. A 12 (1997) 437 [hep-th/9512153].
51. T. Ueno, BPS states in 10+2 dimensions, J. High Energy Phys. 12 (2000) 006 [hep-th/9909007].
52. I. Bandos and J. Lukierski, Tensorial central charges and new superparticle models with fundamental spinor coordinates, Mod. Phys. Lett. A 14 (1999) 1257 [hep-th/9811022].
53. I. Rudychev and E. Sezgin, Superparticles in d > 11, Phys. Lett. B 415 (1997) 363 hep-th/9704057]; addendum Superparticles in d > 11 revisited, ibid. 424 (1998) 411 [hep-th/9711128].
54. M. Cvetič, H. Lu and C.N. Pope, Penrose limits, pp-waves and deformed M2-branes, hep-th/0203082.
55. M. Cvetič, H. Lu and C.N. Pope, M-theory pp-waves, Penrose limits and supernumerary super symmetries, hep-th/0203229.
56. J. Michelson, (twisted) toroidal compactification of pp-waves, hep-th/0203140.
57. J.P. Gauntlett and C.M. Hull, pp-waves in 11-dimensions with extra supersymmetry, J. High Energy Phys. 06 (2002) 013 [hep-th/0203255].
58. R. D'Auria and P. Fré, Geometric supergravity in D = 11 and its hidden supergroup, Nucl. Phys. B 201 (1982) 101, erratum ibid. 206 (1982) 496.
59. C. Chryssomalakos, J.A. de Azcarraga, J.M. Izquierdo and J.C. Perez Bueno, The geometry of branes and extended superspaces, Nucl. Phys. B 567 (2000) 293 [hep-th/9904137];
60. O.E. Gusev and A.A. Zheltukhin, Twistor description of world surfaces and the action integral of strings, JETP Lett. 64 (1996) 487.
61. K. Ilyenko, Twistor representation of null two-surfaces, hep-th/0109036; Twistor description of null strings, PhD Thesis, University of Oxford, UK, 1999.
62. R. Penrose and M.A.H. MacCallum, Twistor theory: an approach to the quantization of fields and space-time, Phys. Rev. 6 (1972) 241.
63. A. Ferber, Supertwistors and conformal super symmetry, Nucl. Phys. B 132 (1978) 55.
64. T. Shirafuji, Lagrangian mechanics of massless particles with spin, Prog. Theor. Phys. 70 (1983) 18.
65. A.K.H. Bengtsson, I. Bengtsson, M. Cederwall and N. Linden, Particles, superparticles and twistors, Phys. Rev. D 36 (1987) 1766.
66. J. Lukierski and A. Nowicki, General superspaces from supertwistors, Phys. Lett. B 211 (1988) 276.
67. A.A. Zheltukhin and U. Lindström, Hamiltonian of tensionless strings with tensor central charge coordinates, J. High Energy Phys. 01 (2002) 034 [hep-th/0112206].
68. 5 algebra to super-pp-wave algebra, Nucl. Phys. B 632 (2002) 114 [hep-th/0202190].
69. D. Polyakov, AdS/CFT correspondence, critical strings and stochastic quantization, Class. and Quant. Grav. 18 (2001) 1979 [hep-th/0005094];
70. 5 , hep-th/9907021.
71. K. Sugiyama and K. Yoshida, Supermembrane on the PP-wave background, hep-th/0206070]
72. M.A. Vasiliev, Higher spin conserved currents in sp(2m) symmetric spacetime, hep-th/0204167.
73. D.V. Volkov, Phenomenological lagrangian of the Goldstone particle interactions, preprint ITP-69-75, Kiev, 1969;
74. Phenomenological lagrangians, Sov. J. Part. Nucl. 4 (1973) 1.
75. D.V. Volkov and A.P. Akulov, Possible universal neutrino interaction, JETP Lett. 16 (1972) 438.
76. J. Hughes and J. Polchinski, Partially broken global supersymmetry and the superstring, Nucl. Phys. B 278 (1986) 147.
77. J. Hughes, J. Liu and J. Polchinski, Supermembranes, Phys. Lett. B 180 (1986) 370.
78. H.B. Nielsen and P. Olesen, Vortex-line models for dual strings, Nucl. Phys. B 61 (1973) 45.
79. D.V. Volkov and A.A. Zheltukhin, Extension of the Penrose reperesentation and its use to describe supersymmetric models, JETP Lett. 48 (1988) 63;
80. On the equivalence of the lagrangians of massless Dirac and supersymmetrical particles, Lett. Math. Phys. 17 (1989) 141;
81. Lagrangians for massless particles and strings with local and global supersymmetry, Nucl. Phys. B 335 (1990) 723.
82. D.P. Sorokin, V.I. Tkach and D.V. Volkov, Superparticles, twistors and Siegel symmetry, Mod. Phys. Lett. A 4 (1989) 901.
83. D.P. Sorokin, V.I. Tkach, D.V. Volkov and A.A. Zheltukhin, From the superparticle siegel symmetry to the spinning particle proper time supersymmetry, Phys. Lett. B 216 (1989) 302.
84. I.A. Bandos and A.A. Zheltukhin, D = 10 superstring: lagrangian and hamiltonian mechanics in twistor-like Lorentz-harmonic formulation, Phys. Part. Nucl. 25 (1994) 453.
85. A.A. Zheltukhin, Connection between a relativistic string and two-dimensional field models, Sov. J. Nucl. Phys. 33 (1981) 927;
86. On the topological structure of the extrema of the action of a relativistic string, Sov. J. Nucl. Phys. 34 (1981) 311;
87. Classical relativistic string as an exactly solvable sector of the SO(1, 1) × SO(2) gauge model, Phys. Lett. B 116 (1982) 147.
88. V.V. Tugai and A.A. Zheltukhin, A superfield generalization of the classical action-at-a-distance theory, Phys. Rev. D 51 (1995) R3997;
89. Neutral particles with spin 1/2 and action-at-a-distance theory, Phys. Rev. D 54 (1996) 4160;
90. Classical action of charged and neutral particles with spin 1/2 and supersymmetric electrodynamics, Theor. Math. Phys. 108 (1996) 1164.
91. V.V. Tugai and A.A. Zheltukhin, Minimal nature of a nonminimal electromagnetic interaction, JETP Lett. 61 (1995) 539;
92. On extension of minimality principle in supersymmetric electrodynamics, hep-th/9706114.
93. D.V. Uvarov and A.A. Zheltukhin, κ-symmetry and anomalous magnetic moment of superparticles, JETP Lett. 67 (1998) 888;
94. N = 2 massive superparticle: the minimality principle and the κ-symmetry, Phys. Rev. D 61 (2000) 015004 [hep-th/9901067].
95. L. Lusanna and B. Milewski, N = 2 super Yang-Mills and supergravity constraints from coupling to a supersymmetric particle, Nucl. Phys. B 247 (1984) 396.
96. D.V. Volkov, A.A. Zheltukhin and Yu.P. Bliokh, Phenomenological lagrangian for spin waves, Sov. Phys. Solid State 13 (1971) 1396.
97. D.V. Volkov and A.A. Zheltukhin, Spin waves in space-disordered media, Solid State Commun. 36 (1980) 733;
98. Spin-waves propagation in spatially disordered media, Sov. Phys. JETP 51 (1980) 937.