Abstract
We derive new types of U(1)n Born-Infeld actions based on N = 2 special geometry in four dimensions. As in the single vector multiplet (n = 1) case, the non-linear actions originate, in a particular limit, from quadratic expressions in the Maxwell fields. The dynamics is encoded in a set of coefficients d ABC related to the third derivative of the holomorphic prepotential and in an SU(2) triplet of N = 2 Fayet-Iliopoulos charges, which must be suitably chosen to preserve a residual N = 1 supersymmetry.
Article PDF
Similar content being viewed by others
Avoid common mistakes on your manuscript.
References
M. Born and L. Infeld, Foundations of the new field theory, Proc. Roy. Soc. Lond. A 144 (1934) 425 [INSPIRE].
S. Deser and R. Puzalowski, Supersymmetric nonpolynomial vector multiplets and causal propagation, J. Phys. A 13 (1980) 2501 [INSPIRE].
S. Cecotti and S. Ferrara, Supersymmetric Born-Infeld lagrangians, Phys. Lett. B 187 (1987) 335 [INSPIRE].
J. Bagger and A. Galperin, A new Goldstone multiplet for partially broken supersymmetry, Phys. Rev. D 55 (1997) 1091 [hep-th/9608177] [INSPIRE].
D.V. Volkov and V.P. Akulov, Possible universal neutrino interaction, JETP Lett. 16 (1972) 438 [Pisma Zh. Eksp. Teor. Fiz. 16 (1972) 621] [INSPIRE].
D.V. Volkov and V.P. Akulov, Is the neutrino a Goldstone particle?, Phys. Lett. B 46 (1973) 109 [INSPIRE].
R. Grimm, M. Sohnius and J. Wess, Extended supersymmetry and gauge theories, Nucl. Phys. B 133 (1978) 275 [INSPIRE].
D.Z. Freedman and A. Van Proeyen, Supergravity, Cambridge University Press, Cambridge U.K. (2012).
I. Antoniadis, H. Partouche and T.R. Taylor, Spontaneous breaking of N = 2 global supersymmetry, Phys. Lett. B 372 (1996) 83 [hep-th/9512006] [INSPIRE].
S. Ferrara, L. Girardello and M. Porrati, Spontaneous breaking of N = 2 to N = 1 in rigid and local supersymmetric theories, Phys. Lett. B 376 (1996) 275 [hep-th/9512180] [INSPIRE].
M. Roček and A.A. Tseytlin, Partial breaking of global D = 4 supersymmetry, constrained superfields and three-brane actions, Phys. Rev. D 59 (1999) 106001 [hep-th/9811232] [INSPIRE].
M. Roček, Linearizing the Volkov-Akulov model, Phys. Rev. Lett. 41 (1978) 451 [INSPIRE].
U. Lindström and M. Roček, Constrained local superfields, Phys. Rev. D 19 (1979) 2300 [INSPIRE].
R. Casalbuoni, S. De Curtis, D. Dominici, F. Feruglio and R. Gatto, Nonlinear realization of supersymmetry algebra from supersymmetric constraint, Phys. Lett. B 220 (1989) 569 [INSPIRE].
Z. Komargodski and N. Seiberg, From linear SUSY to constrained superfields, JHEP 09 (2009) 066 [arXiv:0907.2441] [INSPIRE].
J. Hughes and J. Polchinski, Partially broken global supersymmetry and the superstring, Nucl. Phys. B 278 (1986) 147 [INSPIRE].
J. Hughes, J. Liu and J. Polchinski, Supermembranes, Phys. Lett. B 180 (1986) 370 [INSPIRE].
A. Strominger, Special geometry, Commun. Math. Phys. 133 (1990) 163 [INSPIRE].
N. Seiberg and E. Witten, Electric-magnetic duality, monopole condensation and confinement in N = 2 supersymmetric Yang-Mills theory, Nucl. Phys. B 426 (1994) 19 [Erratum ibid. B 430 (1994) 485-486] [hep-th/9407087] [INSPIRE].
A. Ceresole, R. D’Auria, S. Ferrara and A. Van Proeyen, Duality transformations in supersymmetric Yang-Mills theories coupled to supergravity, Nucl. Phys. B 444 (1995) 92 [hep-th/9502072] [INSPIRE].
A. Ceresole, R. D’Auria and S. Ferrara, On the geometry of moduli space of vacua in N = 2 supersymmetric Yang-Mills theory, Phys. Lett. B 339 (1994) 71 [hep-th/9408036] [INSPIRE].
H. Partouche and B. Pioline, Partial spontaneous breaking of global supersymmetry, Nucl. Phys. Proc. Suppl. 56B (1997) 322 [hep-th/9702115] [INSPIRE].
S. Ferrara, R. Kallosh and A. Strominger, N = 2 extremal black holes, Phys. Rev. D 52 (1995) 5412 [hep-th/9508072] [INSPIRE].
A. Strominger, Macroscopic entropy of N = 2 extremal black holes, Phys. Lett. B 383 (1996) 39 [hep-th/9602111] [INSPIRE].
S. Ferrara and R. Kallosh, Supersymmetry and attractors, Phys. Rev. D 54 (1996) 1514 [hep-th/9602136] [INSPIRE].
S. Ferrara and R. Kallosh, Universality of supersymmetric attractors, Phys. Rev. D 54 (1996) 1525 [hep-th/9603090] [INSPIRE].
A. Ceresole, R. D’Auria and S. Ferrara, The symplectic structure of N = 2 supergravity and its central extension, Nucl. Phys. Proc. Suppl. 46 (1996) 67 [hep-th/9509160] [INSPIRE].
S. Ferrara, G.W. Gibbons and R. Kallosh, Black holes and critical points in moduli space, Nucl. Phys. B 500 (1997) 75 [hep-th/9702103] [INSPIRE].
D. Brace, B. Morariu and B. Zumino, Duality invariant Born-Infeld theory, hep-th/9905218 [INSPIRE].
P. Aschieri, D. Brace, B. Morariu and B. Zumino, Proof of a symmetrized trace conjecture for the abelian Born-Infeld lagrangian, Nucl. Phys. B 588 (2000) 521 [hep-th/0003228] [INSPIRE].
S.M. Kuzenko and S. Theisen, Supersymmetric duality rotations, JHEP 03 (2000) 034 [hep-th/0001068] [INSPIRE].
R. Kallosh and B. Kol, E 7 symmetric area of the black hole horizon, Phys. Rev. D 53 (1996) 5344 [hep-th/9602014] [INSPIRE].
R. Kallosh and A.D. Linde, Strings, black holes and quantum information, Phys. Rev. D 73 (2006) 104033 [hep-th/0602061] [INSPIRE].
M.J. Duff, String triality, black hole entropy and Cayley’s hyperdeterminant, Phys. Rev. D 76 (2007) 025017 [hep-th/0601134] [INSPIRE].
L. Borsten, M.J. Duff, S. Ferrara, A. Marrani and W. Rubens, Small orbits, Phys. Rev. D 85 (2012) 086002 [arXiv:1108.0424] [INSPIRE].
J. Dieudonné and J.B. Carrell, Invariant theory, old and new, Advances in Mathematics, Academic Press, U.S.A. (1971).
D. Mumford, J. Fogarty and F. Kirwan, Geometric invariant theory, 3rd edition, Springer, Germany (1994).
I. M. Gelfand, M. Kapranov and A. Zelevinsky, Discriminants, resultants, and multidimensional determinants, Springer, Germany (2008).
C. Procesi, Lie groups. An approach through invariants and representations, Springer, Germany (2007).
Open Access
This article is distributed under the terms of the Creative Commons Attribution License (CC-BY 4.0), which permits any use, distribution and reproduction in any medium, provided the original author(s) and source are credited.
Author information
Authors and Affiliations
Corresponding author
Additional information
ArXiv ePrint: 1411.4954
On leave of absence from: Department of Physics and Astronomy, U.C.L.A., Los Angeles CA, U.S.A. (S. Ferrara)
On leave of absence from: Scuola Normale Superiore and INFN, Piazza dei Cavalieri 7, 56126 Pisa, Italy (A. Sagnotti)
Rights and permissions
Open Access This article is distributed under the terms of the Creative Commons Attribution 4.0 International License (https://creativecommons.org/licenses/by/4.0), which permits use, duplication, adaptation, distribution, and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made.
About this article
Cite this article
Ferrara, S., Porrati, M. & Sagnotti, A. N = 2 Born-Infeld attractors. J. High Energ. Phys. 2014, 65 (2014). https://doi.org/10.1007/JHEP12(2014)065
Received:
Accepted:
Published:
DOI: https://doi.org/10.1007/JHEP12(2014)065