Abstract
We show that it is possible to construct a supersymmetric mechanics with four supercharges possessing not conformally flat target space. A general idea of constructing such models is presented. A particular case with Eguchi-Hanson target space is investigated in detail: we present the standard and quotient approaches to get the Eguchi-Hanson model, demonstrate their equivalence, give a full set of nonlinear constraints, study their properties and give an explicit expression for the target space metric.
Similar content being viewed by others
References
R.A. Coles and G. Papadopoulos: Class. Quant. Grav. 7 (1990) 427.
C.M. Hull: hep-th/9910028.
G. Papadopoulos: Class. Quant. Grav. 17 (2000) 3715; hep-th/0002007.
G.W. Gibbons, G. Papadopoulos, and K.S. Stelle: Nucl. Phys. B 508 (1997) 623; hep-th/9706207.
E. Ivanov, S. Krivonos, and V. Leviant: J. Phys. A: Math. Gen. 22 (1989) 4201.
E. Ivanov and A.V. Smilga: Phys. Lett. B 257 (1991) 79.
E. Ivanov, S. Krivonos, and A. Pashnev: Class. Quant. Grav. 8 (1991) 19.
V.P. Berezovoj and A. Pashnev: Class. Quant. Grav. 8 (1991) 2141.
A. Maloney, M. Spradlin, and A. Strominger: JHEP 0204 (2002) 003; hep-th/9911001.
J.A. de Azcarraga, J.M. Izquierdo, J.C. Perez Bueno, and P.K. Townsend: Phys. Rev. D 59 (1999) 084015; hep-th/9810230.
S. Hellerman and J. Polchinski: in The many faces of the superworld, (Ed. M.A. Shifman), p. 142; hep-th/9908202.
E.E. Donets, A. Pashnev, V.O. Rivelles, D.P. Sorokin, and M. Tsulaia: Phys. Lett. B 484 (2000) 337; hep-th/0004019.
E.E. Donets, A. Pashnev, J. Juan Rosales, and M.M. Tsulaia: Phys. Rev. D 61 (2000) 043512; hep-th/9907224.
E. Ivanov, S. Krivonos, and O. Lechtenfeld: JHEP 0303 (2003) 014; hep-th/0212303.
E. Ivanov, S. Krivonos, and O. Lechtenfeld: Class. Quant. Grav. 21 (2004) 1031; hep-th/0310299.
E. Ivanov and O. Lechtenfeld: JHEP 0309 (2003) 073; hep-th/0307111.
S. Bellucci and A. Nersessian: Nucl. Phys. Proc. Suppl. 102 (2001) 227; hep-th/0103005.
S. Bellucci and A. Nersessian: Phys. Rev.D 64 (2001) 021702; hep-th/0101065.
S. Bellucci, A. Beylin, S. Krivonos, A. Nersessian, and E. Orazi: Phys. Lett. B 616 (2005) 228; hep-th/0503244.
F. Delduc and S. Krivonos: N = 4, d = 1 Hyper-Kahler sigma models: Taub-NUT case, in preparation.
A. Galperin, E. Ivanov, V. Ogievetsky, and P.K. Townsend: Class. Quant. Grav. 3 (1986) 625.
E. Ivanov and G. Valent: Nucl. Phys. B 576 (2000) 543; hep-th/0001165.
A.S. Galperin, E. Ivanov, V.I. Ogievetsky, and E.S. Sokatchev: Harmonic superspace. University Press, Cambridge, UK, 2001, 306 pp.
T.L. Curtright and D.Z. Freedman: Phys. Lett. B 90 (1980) 71.
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Burdik, C., Krivonos, S. & Shcherbakov, A. N = 4 supersymmetric Eguchi-Hanson sigma model in d = 1. Czech J Phys 55, 1357–1364 (2005). https://doi.org/10.1007/s10582-006-0009-6
Received:
Issue Date:
DOI: https://doi.org/10.1007/s10582-006-0009-6