Abstract
We construct the dilaton Weyl multiplet for N = 2 conformal supergravity in four dimensions. Beginning from an on-shell vector multiplet coupled to the standard Weyl multiplet, the equations of motion can be used to eliminate the supergravity auxiliary fields, following a similar pattern as in five and six dimensions. The resulting 24+24 component multiplet includes two gauge vectors and a gauge two-form and provides a variant formulation of N = 2 conformal supergravity. We also show how this dilaton Weyl multiplet is contained in the minimal 32+32 Poincaré supergravity multiplet introduced by Müller [1] in superspace.
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References
M. Muller, Minimal N = 2 supergravity in superspace, Nucl. Phys. B 282 (1987) 329 [INSPIRE].
E. Bergshoeff, M. de Roo and B. de Wit, Extended conformal supergravity, Nucl. Phys. B 182 (1981) 173 [INSPIRE].
B. de Wit, S. Katmadas and M. van Zalk, New supersymmetric higher-derivative couplings: full N = 2 superspace does not count!, JHEP 01 (2011) 007 [arXiv:1010.2150] [INSPIRE].
D. Butter, B. de Wit, S.M. Kuzenko and I. Lodato, New higher-derivative invariants in N = 2 supergravity and the Gauss-Bonnet term, JHEP 12 (2013) 062 [arXiv:1307.6546] [INSPIRE].
S.M. Kuzenko and J. Novak, On curvature squared terms in N = 2 supergravity, Phys. Rev. D 92 (2015) 085033 [arXiv:1507.04922] [INSPIRE].
K. Hanaki, K. Ohashi and Y. Tachikawa, Supersymmetric completion of an R 2 term in five-dimensional supergravity, Prog. Theor. Phys. 117 (2007) 533 [hep-th/0611329] [INSPIRE].
M. Ozkan and Y. Pang, All off-shell R 2 invariants in five dimensional \( \mathcal{N}=2 \) supergravity, JHEP 08 (2013) 042 [arXiv:1306.1540] [INSPIRE].
D. Butter, S.M. Kuzenko, J. Novak and G. Tartaglino-Mazzucchelli, Conformal supergravity in five dimensions: new approach and applications, JHEP 02 (2015) 111 [arXiv:1410.8682] [INSPIRE].
T. Fujita and K. Ohashi, Superconformal tensor calculus in five-dimensions, Prog. Theor. Phys. 106 (2001) 221 [hep-th/0104130] [INSPIRE].
N. Banerjee, B. de Wit and S. Katmadas, The off-shell 4D/5D connection, JHEP 03 (2012) 061 [arXiv:1112.5371] [INSPIRE].
N. Banerjee, B. de Wit and S. Katmadas, The off-shell c-map, JHEP 01 (2016) 156 [arXiv:1512.06686] [INSPIRE].
E. Bergshoeff, E. Sezgin and A. Van Proeyen, Superconformal tensor calculus and matter couplings in six-dimensions, Nucl. Phys. B 264 (1986) 653 [Erratum ibid. B 598 (2001) 667] [INSPIRE].
E. Bergshoeff et al., Weyl multiplets of N = 2 conformal supergravity in five-dimensions, JHEP 06 (2001) 051 [hep-th/0104113] [INSPIRE].
T. Kugo and K. Ohashi, Gauge and nongauge tensor multiplets in 5D conformal supergravity, Prog. Theor. Phys. 108 (2003) 1143 [hep-th/0208082] [INSPIRE].
S.M. Kuzenko, On compactified harmonic/projective superspace, 5D superconformal theories and all that, Nucl. Phys. B 745 (2006) 176 [hep-th/0601177] [INSPIRE].
S.M. Kuzenko and J. Novak, On supersymmetric Chern-Simons-type theories in five dimensions, JHEP 02 (2014) 096 [arXiv:1309.6803] [INSPIRE].
W. Siegel, Curved extended superspace from Yang-Mills theory a la strings, Phys. Rev. D 53 (1996) 3324 [hep-th/9510150] [INSPIRE].
S. Hegde, I. Lodato and B. Sahoo, A 24 + 24 real scalar multiplet in four dimensional N = 2 conformal supergravity, arXiv:1712.02309 [INSPIRE].
B. de Wit, J.W. van Holten and A. Van Proeyen, Transformation rules of N = 2 supergravity multiplets, Nucl. Phys. B 167 (1980) 186 [INSPIRE].
D. Butter, N = 2 conformal superspace in four dimensions, JHEP 10 (2011) 030 [arXiv:1103.5914] [INSPIRE].
S.M. Kuzenko and G. Tartaglino-Mazzucchelli, Super-Weyl invariance in 5D supergravity, JHEP 04 (2008) 032 [arXiv:0802.3953] [INSPIRE].
J. Wess and J. Bagger, Supersymmetry and supergravity, Princeton University Press, Princeton U.S.A. (1992).
D. Butter, B. de Wit and I. Lodato, Non-renormalization theorems and N = 2 supersymmetric backgrounds, JHEP 03 (2014) 131 [arXiv:1401.6591] [INSPIRE].
M. Cvitan, P. Dominis Prester and A. Ficnar, α′2 -corrections to extremal dyonic black holes in heterotic string theory, JHEP 05 (2008) 063 [arXiv:0710.3886] [INSPIRE].
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ArXiv ePrint: 1712.05365
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Butter, D., Hegde, S., Lodato, I. et al. N = 2 dilaton Weyl multiplet in 4D supergravity. J. High Energ. Phys. 2018, 154 (2018). https://doi.org/10.1007/JHEP03(2018)154
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DOI: https://doi.org/10.1007/JHEP03(2018)154