Abstract
We review the recent construction of the off-shell \(\mathcal{N} = (1,0)\) supersymmetrization of the Gauss–Bonnet curvature squared combination in six dimensions.
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Conformal superspace was first introduced by D. Butter for 4D \(\mathcal{N} = 1\) [34] and \(\mathcal{N} = 2\) [35] supergravity (see also the seminal work by Kugo and Uehara [36]) and it was developed and extended to 3D \(\mathcal{N} - \)extended supergravity [37], 5D \(\mathcal{N} = 1\) supergravity [26], and recently to 6D \(\mathcal{N} = (1,0)\) supergravity [33], see also [38].
REFERENCES
I. Antoniadis, S. Ferrara, R. Minasian, and K. S. Narain, Nucl. Phys. B 507, 571 (1997).
I. Antoniadis, R. Minasian, S. Theisen, and P. Vanhove, Classical Quantum Gravity 20, 5079 (2003).
J. T. Liu and R. Minasian, Nucl. Phys. B 874, 413 (2013).
J. M. Maldacena, A. Strominger, and E. Witten, J. High Energy Phys. 9712, 002 (1997).
C. Vafa, Adv. Theor. Math. Phys. 2, 207 (1998).
G. Lopes Cardoso, B. de Wit, and T. Mohaupt, Phys. Lett. B 451, 309 (1999).
G. Lopes Cardoso, B. de Wit, J. Kappeli, and T. Mohaupt, J. High Energy Phys. 0012, 019 (2000).
R. Kallosh, arXiv:1412.7117 [hep-th].
R. Utiyama and B. S. de Witt, J. Math. Phys. 3, 608 (1962).
Z. Komargodski and A. Schwimmer, J. High Energy Phys. 1112, 099 (2011).
K. S. Stelle, Phys. Rev. D 16, 953 (1977).
A. A. Starobinsky, Phys. Lett. B 91, 99 (1980).
S. Deser and A. Schwimmer, Phys. Lett. B 309, 279 (1993).
B. Zwiebach, Phys. Lett. B 156, 315 (1985).
S. Deser and A. N. Redlich, Phys. Lett. B 176, 350 (1986);
S. Deser and A. N. Redlich, Phys. Lett. B 186(E), 461 (1987).
S. Cecotti, S. Ferrara, L. Girardello, and M. Porrati, Phys. Lett. B 164, 46 (1985).
S. Theisen, Nucl. Phys. B 263, 687 (1986).
I. L. Buchbinder and S. M. Kuzenko, Nucl. Phys. B 308, 162 (1988).
S. Cecotti, S. Ferrara, L. Girardello, M. Porrati, and A. Pasquinucci, Phys. Rev. D 33, 2504 (1986).
S. Ferrara, S. Sabharwal, and M. Villasante, Phys. Lett. B 205, 302 (1988).
S. Ferrara and M. Villasante, J. Math. Phys. 30, 104 (1989).
R. Le Du, Eur. Phys. J. C 5, 181 (1998).
D. Butter, B. de Wit, S. M. Kuzenko, and I. Lodato, J. High Energy Phys. 1312, 062 (2013).
M. Ozkan and Y. Pang, J. High Energy Phys. 1303, 158 (2013);M. Ozkan and Y. Pang, J. High Energy Phys. 1307(E), 152 (2013).
M. Ozkan and Y. Pang, J. High Energy Phys. 1308, 042 (2013).
D. Butter, S. M. Kuzenko, J. Novak, and G. Tartaglino-Mazzucchelli, J. High Energy Phys. 1502, 111 (2015).
E. Bergshoeff, A. Salam, and E. Sezgin, Phys. Lett. B 173, 73 (1986).
E. Bergshoeff, A. Salam, and E. Sezgin, Nucl. Phys. B 279, 659 (1987).
H. Nishino and S. J. Gates, Jr., Phys. Lett. B 173, 417 (1986).
E. Bergshoeff and M. Rakowski, Phys. Lett. B 191, 399 (1987).
J. Novak, M. Ozkan, Y. Pang, and G. Tartaglino-Mazzucchelli, Phys. Rev. Lett. 119, 111602 (2017).
E. Bergshoeff, E. Sezgin, and A. van Proeyen, Nucl. Phys. B 264, 653 (1986); E. Bergshoeff, E. Sezgin, and A. van Proeyen, Nucl. Phys. B 598(E), 667 (2001).
D. Butter, S. M. Kuzenko, J. Novak, and S. Theisen, J. High Energy Phys. 1612, 072 (2016).
D. Butter, Ann. Phys. 325, 1026 (2010).
D. Butter, J. High Energy Phys. 1110, 030 (2011).
T. Kugo and S. Uehara, Prog. Theor. Phys. 73, 235 (1985).
D. Butter, S. M. Kuzenko, J. Novak, and G. Tartaglino-Mazzucchelli, J. High Energy Phys. 1309, 072 (2013).
D. Butter, J. Novak, and G. Tartaglino-Mazzucchelli, J. High Energy Phys. 1705, 133 (2017).
W. D. Linch, III and G. Tartaglino-Mazzucchelli, J. High Energy Phys. 1208, 075 (2012).
L. Castellani, R. D’Auria, and P. Fre, Supergravity and superstrings: A Geometric perspective, Singapore: World Scientific, 1991.
M. F. Hasler, Eur. Phys. J. C 1, 729 (1998).
S. J. Gates, Jr., Nucl. Phys. B 541, 615 (1999).
S. J. Gates, Jr., M. T. Grisaru, M. E.Knutt-Wehlau, and W. Siegel, Phys. Lett. B 421, 203 (1998).
D. Butter, S. M. Kuzenko, J. Novak, and G. Tartaglino-Mazzucchelli, J. High Energy Phys. 1502, 111 (2015).
D. Butter, S. M. Kuzenko, J. Novak, and G. Tartaglino-Mazzucchelli, J. High Energy Phys. 1310, 073 (2013).
S. M. Kuzenko, J. Novak, and G. Tartaglino-Mazzucchelli, J. High Energy Phys. 1401, 121 (2014).
S. M. Kuzenko, J. Novak, and G. Tartaglino-Mazzucchelli, J. High Energy Phys. 1509, 081 (2015).
D. Butter, S. M. Kuzenko, and J. Novak, J. High Energy Phys. 1209, 131 (2012).
ACKNOWLEDGMENTS
I am grateful to D. Butter, J. Novak, M. Ozkan and Y. Pang for collaboration. This work was supported in part by the Interuniversity Attraction Poles Programme initiated by the Belgian Science Policy (P7/37) and in part by the KU Leuven C1 grant ZKD1118 C16/16/005.
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1The article is published in the original.
2Based on part of the plenary talk “Higher-derivative invariants in 6D\(\mathcal{N} = (1,0)\) supergravity” presented by GT-M at the SQS’17 (Dubna, Russia, July 31–August 5, 2017).
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Tartaglino-Mazzucchelli, G. The 6D Gauss–Bonnet Supergravity Invariant. Phys. Part. Nuclei 49, 884–889 (2018). https://doi.org/10.1134/S1063779618050386
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DOI: https://doi.org/10.1134/S1063779618050386