The geometry of (super) conformal quantum mechanics

Communications in Mathematical Physics

Volumn 213, Issue 1, 2000, Pages 1-17

  Michelson, Jeremy ^a,b,c   Strominger, Andrew ^b  

^a HARVARD UNIVERSITY   (United States)

^b UNIVERSITY OF CALIFORNIA   (United States)

^c RUTGERS UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0034349979     PISSN: 00103616     EISSN: None     Source Type: Journal    
DOI: 10.1007/PL00005528     Document Type: Article

References (24)

1. 1. de Alfaro, V., Fubini, S. and Furlan, G.: Conformal Invariance in Quantum Mechanics. Nuovo Cimento 34A, 569 (1976)
2. 2. Callan, C.G., Coleman. S. and Jackiw, R.: A New Improved Energy-Momentum Tensor. Ann. Phys. (NY) 59, 42 (1970); Jackiw, R.: Introducing Scale Symmetry. Physics Today 25, 23 (1972)
3. 2. Callan, C.G., Coleman. S. and Jackiw, R.: A New Improved Energy-Momentum Tensor. Ann. Phys. (NY) 59, 42 (1970); Jackiw, R.: Introducing Scale Symmetry. Physics Today 25, 23 (1972)
4. 3. Hagan, C.R.: Scale and Conformal Transformations in Galilean-Covariant Field Theory. Phys. Rev. D 5, 377-388 (1972)
5. 4. Niederer, U.: The Maximal Kinematical Invariance Group of the Free Schrödinger Equation. Helv. Phys. Acta 45, 802-810 (1972)
6. 5. Akulov V.P. and Pashnev, I.A.: Quantum Superconformal Model in (1,2) Space. Theor. Math. Phys. 56, 862 (1983)
7. 6. Fubini, S. and Rabinovici, E.: Superconformal Quantum Mechanics. Nucl. Phys. B 245, 17 (1984)
8. 7. Ivanov, E., Krivonos, S. and Leviant, V.: Geometry of Conformal Mechanics. J. Phys. A 22, 345 (1989)
9. Ivanov, E., Krivonos, S. and Leviant, V.: Geometric Superfield Approach to Superconformal Mechanics. J. Phys. A 22, 4201 (1989)
10. 8. Freedman, D.Z. and Mende, P.: An Exactly Solvable N Particle System in Supersymmetric Quantum Mechanics. Nucl. Phys. B 344, 317 (1990)
11. 9. Claus, P., Derix, M., Kallosh, R., Kumar, J., Townsend, P. and van Proeyen, A.: Black Holes and Superconformal Mechanics. Phys. Rev. Lett. 81, 4553 (1998); hep-th/9804177
12. 10. de Azcárraga, J.A., Izquerido, J.M., Pérez Buono, J.C., and Townsend, P.K.: Superconformal Mechanics, Black Holes, and Non-linear Realizations. Phys. Rev. D 59, 084015 (1999); hep-th/9810230
13. 2. Nucl. Phys. B 559, 92 (1999); hep-th/9906013
14. 12. Maldacena, J.: The Large N Limit of Superconformal Field Theories and Supergravity. Adv. Theor. Math. Phys. 2, 231-252 (1998); hep-th/9711200
15. 13. Coles, R. and Papadopoulos, G.: The Geometry of the One-Dimensional Supersymmetric Non-Linear Sigma Models. Class. Quant. Grav. 7, 427 (1990)
16. 14. de Wit, B., Kleijn, B. and Vandoren, S.: Rigid N = 2 Superconformal Hypermultiplets. In J. Wess and E.A. Ivanov (eds.) Dubna 1997, Supersymmetries and Quantum Mechanics, Berlin-Heidelberg-New York: Springer, 1999, pp. 37-45; hep-th/9808160
17. 15. Michelson, J. and Strominger, A.: Superconformal Multi-Black Hole Quantum Mechanics. JHEP 009, (1999) 005; hep-th/9908044
18. 16. De Jonghe, F., Peeters, K. and Sfetsos, K.: Killing-Yano supersymmetry in String Theory. Class. Quant. Grav. 14, 35 (1997); hep-th/9607203
19. 17. Gibbons, G.W., Papadopoulos, G. and Stelle, K.S.: HKT and OKT Geometries on Soliton Black Hole Moduli Spaces. Nucl. Phys. B 508, 623 (1997); hep-th/9706207
20. 18. Yano, K. and Ako, M.: Integrability Conditions for Almost Quaternion Structures. Hokkaido Math. J. 1, 63 (1972)
21. 19. Gates, S.J., Jr., Hull, C.M. and Roček, M.: Twisted Multiplets and New Supersymmetric Non-linear σ-Models. Nucl. Phys. B 248, 157-186 (1984)
22. 20. Douglas, M., Polchinski, J. and Strominger, A.: Probing Five-Dimensional Black Holes with D-branes. JHEP 12, 003 (1997); hep-th/9703031
23. 21. Howe, P. and Papadopoulos, G.: Further Remarks on the Geometry of Two-Dimensional Non-Linear σ-Models. Commun. Math. Phys. 151, 467 (1993)
24. 22. Obata, M.: Affine Connections on Manifolds with Almost Complex, Quaternion or Hermitian Structure. Japan. J. Math. 26, 43 (1956)