Abstract
We consider the Calabi-Yau reduction of the Type IIA eight derivative oneloop stringy corrections focusing on the couplings of the four dimensional gravity multiplet with vector multiplets and a tensor multiplet containing the NS two-form. We obtain a variety of higher derivative invariants generalising the one-loop topological string coupling, F 1 , controlled by the lowest order Kähler potential and two new non-topological quantities built out of the Calabi-Yau Riemann curvature.
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References
M. Bershadsky, S. Cecotti, H. Ooguri and C. Vafa, Kodaira-Spencer theory of gravity and exact results for quantum string amplitudes, Commun. Math. Phys. 165 (1994) 311 [hep-th/9309140] [INSPIRE].
I. Antoniadis, E. Gava, K. Narain and T. Taylor, Topological amplitudes in string theory, Nucl. Phys. B 413 (1994) 162 [hep-th/9307158] [INSPIRE].
N.A. Nekrasov, Seiberg-Witten prepotential from instanton counting, Adv. Theor. Math. Phys. 7 (2004) 831 [hep-th/0206161] [INSPIRE].
N. Nekrasov and A. Okounkov, Seiberg-Witten theory and random partitions, hep-th/0306238 [INSPIRE].
J.F. Morales and M. Serone, Higher derivative F terms in N = 2 strings, Nucl. Phys. B 481 (1996) 389 [hep-th/9607193] [INSPIRE].
I. Antoniadis, S. Hohenegger, K. Narain and T. Taylor, Deformed Topological Partition Function and Nekrasov Backgrounds, Nucl. Phys. B 838 (2010) 253 [arXiv:1003.2832] [INSPIRE].
Y. Nakayama and H. Ooguri, Comments on Worldsheet Description of the Omega Background, Nucl. Phys. B 856 (2012) 342 [arXiv:1106.5503] [INSPIRE].
I. Antoniadis, I. Florakis, S. Hohenegger, K. Narain and A. Zein Assi, Worldsheet Realization of the Refined Topological String, Nucl. Phys. B 875 (2013) 101 [arXiv:1302.6993] [INSPIRE].
I. Antoniadis, I. Florakis, S. Hohenegger, K. Narain and A. Zein Assi, Non-Perturbative Nekrasov Partition Function from String Theory, Nucl. Phys. B 880 (2014) 87 [arXiv:1309.6688] [INSPIRE].
M. Billó, M. Frau, F. Fucito and A. Lerda, Instanton calculus in RR background and the topological string, JHEP 11 (2006) 012 [hep-th/0606013] [INSPIRE].
S. Ferrara, R.R. Khuri and R. Minasian, M theory on a Calabi-Yau manifold, Phys. Lett. B 375 (1996) 81 [hep-th/9602102] [INSPIRE].
I. Antoniadis, S. Ferrara, R. Minasian and K. Narain, R 4 couplings in M and type-II theories on Calabi-Yau spaces, Nucl. Phys. B 507 (1997) 571 [hep-th/9707013] [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].
K. Peeters, P. Vanhove and A. Westerberg, Chiral splitting and world sheet gravitinos in higher derivative string amplitudes, Class. Quant. Grav. 19 (2002) 2699 [hep-th/0112157] [INSPIRE].
J.T. Liu and R. Minasian, Higher-derivative couplings in string theory: dualities and the B-field, arXiv:1304.3137 [INSPIRE].
I. Antoniadis, R. Minasian, S. Theisen and P. Vanhove, String loop corrections to the universal hypermultiplet, Class. Quant. Grav. 20 (2003) 5079 [hep-th/0307268] [INSPIRE].
S. Alexandrov, J. Manschot, D. Persson and B. Pioline, Quantum hypermultiplet moduli spaces in N = 2 string vacua: a review, arXiv:1304.0766 [INSPIRE].
K. Peeters, A field-theory motivated approach to symbolic computer algebra, Comput. Phys. Commun. 176 (2007) 550 [arXiv:cs/0608005].
K. Peeters, Introducing Cadabra: A Symbolic computer algebra system for field theory problems, hep-th/0701238 [INSPIRE].
B. de Wit and F. Saueressig, Off-shell N = 2 tensor supermultiplets, JHEP 09 (2006) 062 [hep-th/0606148] [INSPIRE].
B. de Wit, N = 2 electric-magnetic duality in a chiral background, Nucl. Phys. Proc. Suppl. 49 (1996) 191 [hep-th/9602060] [INSPIRE].
J.M. Maldacena, A. Strominger and E. Witten, Black hole entropy in M-theory, JHEP 12 (1997) 002 [hep-th/9711053] [INSPIRE].
T. Mohaupt, Black hole entropy, special geometry and strings, Fortsch. Phys. 49 (2001) 3 [hep-th/0007195] [INSPIRE].
G. Lopes Cardoso, B. de Wit, J. Kappeli and T. Mohaupt, Stationary BPS solutions in N =2 supergravity with R 2 interactions,JHEP 12 (2000) 019 [hep-th/0009234] [INSPIRE].
N. Banerjee, B. de Wit and S. Katmadas, The Off-Shell 4D/5D Connection, JHEP 03 (2012) 061 [arXiv:1112.5371] [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].
F. Moura, Type II and heterotic one loop string effective actions in four dimensions, JHEP 06 (2007) 052 [hep-th/0703026] [INSPIRE].
F. Moura, Four-dimensional ’old minimal’ N = 2 supersymmetrization of R 4, JHEP 07 (2003) 057 [hep-th/0212271] [INSPIRE].
E. Bergshoeff, M. de Roo and B. de Wit, Extended Conformal Supergravity, Nucl. Phys. B 182 (1981) 173 [INSPIRE].
D. Butter and S.M. Kuzenko, New higher-derivative couplings in 4D N = 2 supergravity, JHEP 03 (2011) 047 [arXiv:1012.5153] [INSPIRE].
A. Dabholkar, J. Gomes and S. Murthy, Quantum black holes, localization and the topological string, JHEP 06 (2011) 019 [arXiv:1012.0265] [INSPIRE].
J. Gomes, Quantum entropy and exact 4d/ 5d connection, arXiv:1305.2849 [INSPIRE].
B. Sahoo and A. Sen, Higher derivative corrections to non-supersymmetric extremal black holes in N = 2 supergravity, JHEP 09 (2006) 029 [hep-th/0603149] [INSPIRE].
R. Firth and J. Jenkins, Super-Symmetry with Isospin, Nucl. Phys. B 85 (1975) 525 [INSPIRE].
M. de Roo, J. van Holten, B. de Wit and A. Van Proeyen, Chiral Superfields in N = 2 Supergravity, Nucl. Phys. B 173 (1980) 175 [INSPIRE].
B. de Wit, J. van Holten and A. Van Proeyen, Structure of N = 2 Supergravity, Nucl. Phys. B 184 (1981) 77 [Erratum ibid. B 222 (1983) 516] [INSPIRE].
S. Ferrara and P. van Nieuwenhuizen, Tensor Calculus for Supergravity, Phys. Lett. B 76 (1978) 404 [INSPIRE].
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ArXiv ePrint: 1311.4797
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Katmadas, S., Minasian, R. \( \mathcal{N} \) = 2 higher-derivative couplings from strings. J. High Energ. Phys. 2014, 93 (2014). https://doi.org/10.1007/JHEP02(2014)093
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DOI: https://doi.org/10.1007/JHEP02(2014)093