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Lectures on Superconformal Quantum Mechanics and Multi-Black Hole Moduli Spaces

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M-Theory and Quantum Geometry

Part of the book series: NATO Science Series ((ASIC,volume 556))

Abstract

This contribution to the proceedings of the 1999 NATO ASI on Quantum Geometry at Akureyri, Iceland, is based on notes of lectures given by A. Strominger. Topics include N-particle conformal quantum mechanics, extended superconformal quantum mechanics and multi-black hole moduli spaces.

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References

  1. Hawking, S.W. (1975) Particle Creation by Black Holes, Comm. Math. Phys 43, 199–220.

    Article  MathSciNet  ADS  Google Scholar 

  2. Hawking, S.W. (1976) Black Holes and Thermodynamics, Phys. Rev. D 13, 191–197.

    Article  MathSciNet  ADS  Google Scholar 

  3. Ferrell, F. and Eardley, D. (1987) Slow-Motion Scattering and Coalescence of Maximally Charged Black Holes, Phys. Rev. Lett 59, 1617–1620.

    Article  MathSciNet  ADS  Google Scholar 

  4. Gibbons, G.W. and Ruback, P.J. (1986) The Motion of Extreme ReissnerNordstrom Black Holes in the Low Velocity Limit, Phys. Rev. Lett 57, 1492–1495.

    Article  ADS  Google Scholar 

  5. Traschen, J. and Ferrell, R. (1992) Quantum Mechanical Scattering of Charged Black Holes, Phys. Rev. D 45, 2628–2635.

    Article  MathSciNet  ADS  MATH  Google Scholar 

  6. Callan, C.G., Coleman, S. and Jackiw, R. (1970) A New Improved Energy-Momentum Tensor, Ann. Phys. (NY) 59, 42–73.

    Article  MathSciNet  ADS  MATH  Google Scholar 

  7. Jackiw, R. (1972) Introducing Scale Symmetry, Physics Today 25, 23–27.

    Article  Google Scholar 

  8. Hagan, C.R. (1972) Scale and Conformal Transformations in Galilean-Covariant Field Theory, Phys. Rev. D 5, 377–388.

    Article  ADS  Google Scholar 

  9. Niederer, U. (1972) The Maximal Kinematical Invariance Group of the Free Schrödinger Equation, Hell,. Phys. Acta 45, 802–810.

    MathSciNet  Google Scholar 

  10. de Alfaro, V., Fubini, S. and Furlan, G. (1976) Conformal Invariance in Quantum Mechanics, Nuovo. Cim 34A, 569–612.

    Article  ADS  Google Scholar 

  11. Claus, P., Derix, M., Kallosh, R., Kumar, J., Townsend, P.K. and Van Proeyen, A. (1998) Black Holes and Superconformal Mechanics, Phys. Rev. Lett 81, 4553–4556.

    Article  MathSciNet  ADS  MATH  Google Scholar 

  12. Maldacena, J. (1998) The Large N Limit of Superconformal Field Theories and Supergravity, Adv. Theor. Math. Phys. 2, 231–252.

    MathSciNet  ADS  MATH  Google Scholar 

  13. Michelson, J. and Strominger, A. (1999) The Geometry of (Super) Conformal Quantum Mechanics, HUTP-99/A045, hep-th/9907191.

    Google Scholar 

  14. Michelson, J. and Strominger, A. (1999) Superconformal Multi-Black Hole Quantum Mechanics, JHEP 09, 005.

    Article  MathSciNet  ADS  Google Scholar 

  15. Teiman, S.B., Jackiw, R. and Gross, D.J. (1972) Lectures on current algebra and its applications, Princeton University Press, Princeton.

    Google Scholar 

  16. Claus, P., Kallosh, R. and Van Proeyen, A. (1998) Conformal Symmetry on the World Volumes of Branes, KUL-TF-98/54, SU-ITP-98/67, hep-th/9812066.

    Google Scholar 

  17. Witten, E. (1981) Dynamical Breaking of Supersymmetry, Nucl. Phys B188, 513–554.

    Article  ADS  Google Scholar 

  18. Witten, E. (1982) Constraints on Supersymmetry Breaking, Nucl. Phys B202, 253–316.

    Article  MathSciNet  ADS  Google Scholar 

  19. Witten, E. (1982) Supersymmetry and Morse Theory, J. Dif. Geom 17, 661–692.

    MathSciNet  MATH  Google Scholar 

  20. Fubini, S. and Rabinovici, E. (1984) Superconformal Quantum Mechanics, Nucl. Phys B245, 17–44.

    Article  MathSciNet  ADS  Google Scholar 

  21. Salomonson, P. and van Holten, J.W. (1982) Fermionic Coordinates and Super-symmetry in Quantum Mechanics, Nucl. Phys B196, 509–531.

    Article  ADS  Google Scholar 

  22. Gauntlett, J.P. (1993) Low-Energy Dynamics of Supersymmetric Solitons, Nucl. Phys B400, 103–125.

    Article  MathSciNet  ADS  Google Scholar 

  23. Maloney, A., Spradlin, M. and Strominger, A. (1999) Superconformal Multi-Black Hole Moduli Spaces in Four Dimensions, HUTP-99/A055, hep-th/9911001.

    Google Scholar 

  24. Coles, R.A. and Papadopoulos, G. (1990) The Geometry of the One-Dimensional Supersymmetric Non-Linear Sigma Models, Class. Quant. Gray 7, 427–438.

    Article  MathSciNet  ADS  MATH  Google Scholar 

  25. Alvarez-Gaum¨¦, L. (1983) Supersymmetry and the Atiyah-Singer Index Theorem, Comm. Math. Phys 90, 161–173.

    Article  MathSciNet  ADS  Google Scholar 

  26. Friedan, D. and Windey, P. (1984) Supersymmetric Derivation of The AtiyahSinger Index and the Chiral Anomaly, Nucl. Phys B235 (FS11), 395–416.

    Article  MathSciNet  ADS  Google Scholar 

  27. Sevrin, A., Troost, W. and Van Proeyen, A. (1988) Superconformal Algebras in Two Dimensions with N = 4, Phys. Lett 208B, 447–450.

    ADS  Google Scholar 

  28. Gibbons, G.W., Papadopoulos, G. and Stelle, K.S. (1997) HKT and OKT Geometries on Soliton Black Hole Moduli Spaces, Nucl. Phys B508, 623–658.

    Article  MathSciNet  ADS  Google Scholar 

  29. Gates, S.J. Jr., Hull C.M. and Rocek, M. (1984) Twisted Multiplets and New Supersymmetric Non-linear o-Models, Nucl. Phys B248, 157–186.

    Article  MathSciNet  ADS  Google Scholar 

  30. Hull, C.M. (1999) The Geometry of Supersymmetric Quantum Mechanics, QMW99–16, hep-th/9910028.

    Google Scholar 

  31. Grantcharov, G. and Poon, S.-Y. (1999) Geometry of Hyper-Kähler Connections with Torsion, math.DG/9908015.

    Google Scholar 

  32. Hellerman, S. and Polchinski, J. (1999) Supersymmetric Quantum Mechanics from Light Cone Quantization, NSF-ITP-99–101, hep-th/9908202.

    Google Scholar 

  33. Douglas, M., Polchinski, J. and Strominger, A. (1997) Probing Five-Dimensional Black Holes with D-Branes, JHEP 12, 003.

    Article  MathSciNet  ADS  Google Scholar 

  34. Kallosh, R. (1999) Black Holes and Quantum Mechanics, hep-th/9902007.

    Google Scholar 

  35. Gutowski, J. and Papadopoulos, G. (1999) The Dynamics of Very Special Black Holes, hep-th/9910022.

    Google Scholar 

  36. Kaplan, D.M. and Michelson, J. (1997) Scattering of Several Multiply Charged Extremal D = 5 Black Holes, Phys. Lett B410 125–130.

    MathSciNet  ADS  Google Scholar 

  37. Michelson, J. (1998) Scattering of Four-Dimensional Black Holes, Phys. Rev. D 57 1092–1097.

    Article  MathSciNet  ADS  Google Scholar 

  38. Shiraishi, K. (1993) Moduli Space Metric for Maximally-Charged Dilaton Black Holes, Nucl. Phys B402, 399–410.

    Article  MathSciNet  ADS  Google Scholar 

  39. Gauntlett, J.P., Myers R.C. and Townsend, P.K. (1999) Black Holes of D=5 Supergravity, Class. Quant. Gray 16, 1–21.

    Article  MathSciNet  ADS  MATH  Google Scholar 

  40. Britto-Pacumio, R., Strominger A. and Volovich A., work in progress.

    Google Scholar 

  41. Maldacena, J. and Strominger, A. (1997) Semiclassical Decay of Near Extremal Fivebranes, JHEP 12, 008.

    Article  MathSciNet  ADS  Google Scholar 

  42. Maldacena, J., Michelson, J. and Strominger, A. (1999) Anti-de Sitter Fragmentation, JHEP 03, 011.

    Article  MathSciNet  Google Scholar 

  43. Seiberg, N. and Witten, E. (1999) The D1/D5 System and Singular CFT, JHEP 04, 017.

    Article  MathSciNet  ADS  Google Scholar 

  44. Berkooz, M. and Verlinde, H. (1999) Matrix Theory, AdS/CFT and Higgs-Coulomb Equivalence, IASSNS-HEP-99/67, PUPT-1879, hep-th/9907100.

    Google Scholar 

  45. Aharony, O. and Berkooz, M. (1999) IR Dynamics of d=2, N=(4,4) Gauge Theories and DLCQ of “Little String Theories”, PUPT-1886, RUNHETC-99–31, hepth/9909101.

    Google Scholar 

  46. Nakahara, M. (1990)Geometry Topology and Physics, Institute of Physics Publishing, Philadelphia.

    Google Scholar 

  47. Wald, R.M. (1984) General Relativity, The University of Chicago Press, Chicago.

    MATH  Google Scholar 

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Britto-Pacumio, R., Michelson, J., Strominger, A., Volovich, A. (2000). Lectures on Superconformal Quantum Mechanics and Multi-Black Hole Moduli Spaces. In: Thorlacius, L., Jonsson, T. (eds) M-Theory and Quantum Geometry. NATO Science Series, vol 556. Springer, Dordrecht. https://doi.org/10.1007/978-94-011-4303-5_6

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  • DOI: https://doi.org/10.1007/978-94-011-4303-5_6

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-0-7923-6475-7

  • Online ISBN: 978-94-011-4303-5

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