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Black holes, branes and superconformal symmetry

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Quantum Aspects of Gauge Theories, Supersymmetry and Unification

Part of the book series: Lecture Notes in Physics ((LNP,volume 525))

Abstract

The main focus of this lecture is on extended objects in adS p+2×S d—p—2 bosonic backgrounds with unbroken supersymmetry. The backgrounds are argued to be exact, special consideration are given to the non-maximal supersymmetry case. The near horizon superspace construction is explained. The superconformal symmetry appears in the worldvolume actions as the superisometry of the near horizon superspace, like the superPoincaré symmetry of GS superstring and BST supermembrane in the flat superspace. The issues in gauge fixing of local kappa-symmetry are reviewed.

We describe the features of the gauge-fixed IIB superstring in adS 5×S 5 background with RR 5-form. From a truncated boundary version of it we derive an analytic N=2 off shell harmonic superspace of Yang-Mills theory. The reality condition of the analytic subspace, which includes the antipodal map on the sphere, has a simple meaning of the symmetry of the string action in the curved space. The relevant issues of black holes and superconformal mechanics are addressed.

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References

  1. J. Maldacena, The large N limit of superconformal field theories and supergravity, hep-th/9711200 (1997)

    Google Scholar 

  2. P. Claus, R. Kallosh, J. Kumar, P. K. Townsend and A. Van Proeyen, Conformal theory of M2, D3, M5 and ‘D1+D5’ branes, JHEP 06 (1998) 004; hep-th/9801206.

    Article  ADS  Google Scholar 

  3. T. Banks and M. B. Green, Nonperturbative Effects in AdS 5× S 5 String Theory and d=4 SUSY Yang-Mills, hep-th/9804170.

    Google Scholar 

  4. R. Kallosh and A. Rajaraman Vacua of M-theory and String Theory, Phys. Rev. D58 (1998) 125003 hep-th/9805041.

    ADS  MathSciNet  Google Scholar 

  5. R. Güven, Phys. Lett. 191B (1987) 265

    Google Scholar 

  6. D. Amati and C. Klimčik, Phys. Lett 219B (1988) 443; G. T. Horowitz, in: Proceedings of Strings’ 90, College Station, Texas, March 1990 (World Scientific, 1991) and references therein.

    ADS  Google Scholar 

  7. E. Cremmer and S. Ferrara, Formulation of Eleven-Dimensional Supergravity in Superspace, Phys. Lett. 91B (1980) 61.

    ADS  MathSciNet  Google Scholar 

  8. L. Brink and P. Howe, Eleven-dimensional Supergravity On the Mass Shell in Superspace, Phys. Lett. 91B (1980) 384.

    ADS  Google Scholar 

  9. S. Ferrara, R. Kallosh and A. Strominger, Phys. Rev. D52 (1995) 5412; hep-th/9508072.

    ADS  MathSciNet  Google Scholar 

  10. J. Schwarz, Covariant field equations of chiral N=2, D=10 supergravity, Nucl. Phys. B226 (1983) 269.

    Article  ADS  Google Scholar 

  11. P. S. Howe and P. C. West, The Complete N=2, d=10 Supergravity, Nucl. Phys. B238 (1984) 181.

    Article  ADS  MathSciNet  Google Scholar 

  12. G. W. Gibbons and P. K. Townsend, Vacuum interpolation in supergravity via super p-branes, Phys. Rev. Lett. 71 (1993) 3754; hep-th/9307049.

    Article  MATH  ADS  MathSciNet  Google Scholar 

  13. S. Ferrara and R. Kallosh, Supersymmetry and Attractors, Phys. Rev. D54 (1996) 1514; hep-th/9602136.

    ADS  MathSciNet  Google Scholar 

  14. G. L. Cardoso, B. de Wit and T. Mohaupt, Corrections to macroscopic supersymmetric black-hole entropy, hep-th/9812082.

    Google Scholar 

  15. J. M. Maldacena, A. Strominger and E. Witten, Black hole entropy in M theory, J. High Energy Phys. 12 (1997) 2, hep-th/9711053

    Article  ADS  MathSciNet  Google Scholar 

  16. C. Vafa, Black holes and Calabi-Yau threefolds, Adv. Theor. Math. Phys. 2 (1998) 207, hep-th/9711067.

    MATH  MathSciNet  Google Scholar 

  17. R. Kallosh, J. Rahmfeld and A. Rajaraman, Near horizon superspace, JHEP 09 (1998) 002, hep-th/98-5217.

    Article  ADS  MathSciNet  Google Scholar 

  18. R.R. Metsaev and A.A. Tseytlin, Type IIB superstring action in AdS 5×S5 background, Nucl. Phys. B533 (1998) 109, hep-th/9805028; R.R. Metsaev and A.A. Tseytlin, Supersymmetric D3-brane action in AdS 5×S5, hep-th/9806095.

    Article  ADS  MathSciNet  Google Scholar 

  19. P. Claus and R. Kallosh, Superisometries of the adS×S superspace, hep-th/9812087 (1998).

    Google Scholar 

  20. B. de Wit, K. Peeters, J. Plefka and A. Sevrin, The M-Theory Two-Brane in AdS 4 ×S 7 and AdS 7×S4, hep-th/9808052 (1998).

    Google Scholar 

  21. M.B. Green and J.H. Schwarz, Covariant description of superstrings, Phys. Lett. B136 (1984) 367; M.B. Green, J.H. Schwarz and E. Witten, Superstring Theory, Cambridge University Press, 1987.

    Google Scholar 

  22. R. Kallosh, Superconformal actions in Killing gauge, hep-th/9807206.

    Google Scholar 

  23. H. Lü, C.N. Pope and J. Rahmfeld, A Construction of Killing Spinors on S n, hep-th/9805151 (1998).

    Google Scholar 

  24. P. Pasti, D. Sorokin, Mario Tonin, On gauge-fixed superbrane actions in ads superbackgrounds, hep-th/9809213.

    Google Scholar 

  25. R. Kallosh and J. Rahmfeld, The GS string action on AdS 5× S 5, hep-th/9808038.

    Google Scholar 

  26. R. Kallosh and A. Tseytlin, Simplifying Superstring Action on AdS 5×55, JHEP 10 (1998) 016, hep-th/9808088.

    Article  ADS  MathSciNet  Google Scholar 

  27. G. Dall’Agata, D. Fabbri, C. Fraser, P. Fre, P. Termonia and M. Trigiante, The Osp(8/4) singleton action from the supermembrane, hep-th/98-7115.

    Google Scholar 

  28. I. Pesando, A kappa gauge fixed type IIB superstring action on AdS 5×S 5, hep-th/9808020.

    Google Scholar 

  29. M.T. Grisaru, P. Howe, L. Mezincescu, B. Nilsson and P.K. Townsend, N=2 superstrings in a supergravity background, Phys. Lett. B162 (1985) 116.

    ADS  MathSciNet  Google Scholar 

  30. I. Pesando, All Roads Lead to Rome: Supersolvables and Supercosets, hep-th/9808146.

    Google Scholar 

  31. P. Claus, R. Kallosh and J. Rahmfeld, Symmetries of the Boundary of AdS 5×S 5 and Harmonic Superspace, hep-th/9812114.

    Google Scholar 

  32. A. Galperin, E. Ivanov, S. Kalitzin, V. Ogievetsky and E. Sokatchev, Unconstrained N=2 matter, Yang-Mills and supergravity theories in harmonic superspace, Class. Quantum Grav. 1 (1984) 469.

    Article  ADS  MathSciNet  Google Scholar 

  33. A. Galperin, E. Ivanov, V. Ogievetsky and E. Sokatchev, Harmonic superspace in action: general N=2 matter self-couplings, in Proceedings of the Trieste Spring School ’supersymmetry, supergravity, superstrings 86’, edited by B. de Wit, P. Fayet, M. Grisaru, WS, 1986.

    Google Scholar 

  34. P. Claus, M. Derix, R. Kallosh, J. Kumar, P.K. Townsend and A. Van Proeyen, Superconformal mechanics and black holes, Phys. Rev. Lett. 81 (1998) 4553, hep-th/9804177.

    Article  MATH  ADS  MathSciNet  Google Scholar 

  35. J.A. de Azcárraga, J.M. Izquierdo, J.C. Pérez-Bueno and P.K. Townsend, Superconformal mechanics, black holes and non-linear realizations, hep-th/9810230.

    Google Scholar 

  36. G.W. Gibbons and P.K. Townsend, Black Holes and Calogero Models, hep-th/9812034.

    Google Scholar 

  37. V. de Alfaro, S. Fubini and G. Furlan, Conformal Invariance in Quantum Mechanics, Nuovo. Cimento. 34A (1976) 569.

    ADS  Google Scholar 

  38. See also K. M. Case, Singular potentials, Phys. Rev. 80 (1950) 797.

    Article  MATH  ADS  MathSciNet  Google Scholar 

  39. V.P. Akulov and I.A. Pashnev, Quantum superconformal model in (1,2) space, Theor. Math. Phys. 56 (1983) 862

    Article  Google Scholar 

  40. S. Fubini and E. Rabinovici, Superconformal Quantum Mechanics, Nucl. Phys. B245 (1984) 17.

    Article  ADS  MathSciNet  Google Scholar 

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A. Ceresole C. Kounnas D. Lüst S. Theisen

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© 1999 Springer-Verlag

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Kallosh, R. (1999). Black holes, branes and superconformal symmetry. In: Ceresole, A., Kounnas, C., Lüst, D., Theisen, S. (eds) Quantum Aspects of Gauge Theories, Supersymmetry and Unification. Lecture Notes in Physics, vol 525. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0104242

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  • DOI: https://doi.org/10.1007/BFb0104242

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