Abstract
The problem of unifying quantum mechanics and gravity is one of the great unsolved problems in twentieth century physics. Progress has been slowed by our inability to carry out relevant physical experiments. Some progress has nevertheless been possible, largely throught the use of gedanken experiments.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
Hawking, S.W. (1975) Particle Creation by Black Holes, Comm. Math. Phys. 43, 199–220.
Hawking, S.W. (1976) Black Holes and Thermodynamics, Phys. Rev. D 13, 191–197.
Ferrell, F. and Eardley, D. (1987) Slow-Motion Scattering and Coalescence of Maximally Charged Black Holes, Phys. Rev. Lett. 59, 1617–1620.
Gibbons, G.W. and Ruback, P.J. (1986) The Motion of Extreme Reissner-Nordstrom Black Holes in the Low Velocity Limit, Phys. Rev. Lett. 57, 1492–1495.
Traschen, J. and Ferrell, R (1992) Quantum Mechanical Scattering of Charged Black Holes, Phys. Rev. D 45, 2628–2635.
Callan, C.G., Coleman, S. and Jackiw, R (1970) A New Improved Energy-Momentum Tensor, Ann. Phys. (NY) 59, 42–73.
Jackiw, R (1972) Introducing Scale Symmetry, Physics Today 25, 23–27.
Hagan, C.R (1972) Scale and Conformal Transformations in Galilean-Covariant Field Theory, Phys. Rev. D 5, 377–388.
Niederer, U. (1972) The Maximal Kinematical Invariance Group of the Free Schr6dinger Equation, Helv. Phys. Acta 45, 802–810.
de Alfaro, V., Fubini, S. and Furlan, G. (1976) Conformal Invariance in Quantum Mechanics, Nuovo. Cim. 34A, 569–612.
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.
Maldacena, J. (1998) The Large N Limit of Superconformal Field Theories and Supergravity, Adv. Theor. Math. Phys. 2, 231–252.
Michelson, J. and Strominger, A. (1999) The Geometry of (Super) Conformal Quantum Mechanics, HUTP-99/A045, hep-th/9907191.
Michelson, J. and Strominger, A. (1999) Superconformal Multi-Black Hole Quantum Mechanics, JHEP 09, 005.
Treiman, S.B., Jackiw, R and Gross, D.J. (1972) Lectures on current algebra and its applications, Princeton University Press, Princeton.
Claus, P., Kallosh, R and Van Proeyen, A. (1998) Conformal Symmetry on the World Volumes of Branes, KUL-TF-98/54, SU-ITP98/ 67, hep-th/9812066.
Witten, E. (1981) Dynamical Breaking of Supersymmetry, Nucl. Phys. B188, 513–554.
Witten, E. (1982) Constraints on Supersymmetry Breaking, Nucl. Phys. B202, 253–316.
Witten, E. (1982) Supersymmetry and Morse Theory, J. Diff. Geom. 17, 661–692.
Fubini, S. and Rabinovici, E. (1984) Superconformal Quantum Mechanics, Nucl. Phys. B245, 17–44.
Salomonson, P. and van Holten, J.W. (1982) Fermionic Coordinates and Supersymmetry in Quantum Mechanics, Nucl. Phys. B196, 509–531.
Gauntlett, J.P. (1993) Low-Energy Dynamics of Supersymmetric Solitons, Nucl. Phys. B400, 103–125.
Maloney, A., Spradlin, M. and Strominger, A. (1999) Superconformal Multi-Black Hole Moduli Spaces in Four Dimensions, HUTP99/ A055, hep-th/9911001.
Coles, R.A. and Papadopoulos, G. (1990) The Geometry of the One-Dimensional Supersymmetric Non-Linear Sigma Models, Class. Quant. Grav. 7, 427–438.
Alvarez-Gaume, L. (1983) Supersymmetry and the Atiyah-Singer Index Theorem, Comm. Math. Phys. 90, 161–173.
Friedan, D. and Windey, P. (1984) Supersymmetric Derivation of The Atiyah-Singer Index and the Chiral Anomaly, Nucl. Phys. B235 (FSll), 395–416.
Sevrin, A., Troost, W. and Van Proeyen, A. (1988) Superconformal Algebras in Two Dimensions with N = 4, Phys. Lett. 208B, 447–450.
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.
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.
Hull, C.M. (1999) The Geometry of Supersymmetric Quantum Mechanics, QMW-99-16, hep-th/9910028.
Grantcharov, G. and Poon, S.-Y. (1999) Geometry of HyperKahler Connections with Torsion, math.DG/9908015.
Hellerman, S. and Polchinski, J. (1999) Supersymmetric Quantum Mechanics from Light Cone Quantization, NSF-ITP-99-101, hepth/ 9908202.
Douglas, M., Polchinski, J. and Strominger, A. (1997) Probing Five-Dimensional Black Holes with D-Branes, JHEP 12, 003.
Kallosh, R (1999) Black Holes and Quantum Mechanics, hepth/ 9902007.
Gutowski, J. and Papadopoulos, G. (1999) The Dynamics of Very Special Black Holes, hep-th/9910022.
Kaplan, D.M. and Michelson, J. (1997) Scattering of Several Mult iply Charged Extremal D = 5 Black Holes, Phys. Lett. B410 125–130.
Michelson, J. (1998) Scattering of Four-Dimensional Black Holes, Phys. Rev. D 57 1092–1097.
Shiraishi, K. (1993) Moduli Space Metric for Maximally-Charged Dilaton Black Holes, Nucl. Phys. B402, 399–410.
Gauntlett, J.P., Myers RC. and Townsend, P.K. (1999) Black Holes of D=5 Supergravity, Class. Quant. Grav. 16, 1–21.
Britto-Pacumio, R, Strominger A. and Volovich A., work in progress.
Maldacena, J. and Strominger, A. (1997) Semiclassical Decay of Near Extremal Fivebranes, JHEP 12, 008.
Maldacena, J., Michelson, J. and Strominger, A. (1999) Anti-de Sit ter Fragmentation, JHEP 03, 011.
Seiberg, N. and Witten, E. (1999) The D1/D5 System and Singular CFT, JHEP 04, 017.
Berkooz, M. and Verlinde, H. (1999) Matrix Theory, AdS/CFT and Higgs-Coulomb Equivalence, IASSNS-HEP-99/67, PUPT1879, hep-th/9907100.
Aharony, O. and Berkooz, M. (1999) IR Dynamics of d=2, N=(4,4) Gauge Theories and DLCQ of “Little String Theories”, PUPT1886, RUNHETC-99-31, hep-th/9909101.
Nakahara, M. (1990) Geometry, Topology and Physics, Institute of Physics Publishing, Philadelphia.
Wald, RM. (1984) General Relativity, The University of Chicago Press, Chicago.
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2001 Springer Science+Business Media Dordrecht
About this chapter
Cite this chapter
Britto-Pacumio, R., Michelson, J., Strominger, A., Volovich, A. (2001). Lectures on Superconformal Quantum Mechanics and Multi-Black Hole Moduli Spaces. In: Baulieu, L., Green, M., Picco, M., Windey, P. (eds) Progress in String Theory and M-Theory. NATO Science Series, vol 564. Springer, Dordrecht. https://doi.org/10.1007/978-94-010-0852-5_7
Download citation
DOI: https://doi.org/10.1007/978-94-010-0852-5_7
Publisher Name: Springer, Dordrecht
Print ISBN: 978-0-7923-7034-5
Online ISBN: 978-94-010-0852-5
eBook Packages: Springer Book Archive