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The holomorphicity property of N=1 superpotentials or of N=2 F-terms involving vector multiplets is generalized to the case of N=4 1/2-BPS effective operators defined in harmonic superspace.
E. Cremmer, J. Scherk and S. Ferrara, Phys. Lett. B 74 (1978) 61
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A. Galperin, E. Ivanov, S. Kalitsyn, V. Ogievetsky and E. Sokatchev, “Unconstrained Off-Shell N=3 Supersymmetric Yang-Mills Theory,” Class. Quant. Grav. 2 (1985) 155
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A. Galperin, E. Ivanov, V. Ogievetsky and E. Sokatchev, “Conformal Invariance In Harmonic Superspace,” prepr. JINR E2-85-363, (1985), publ. in
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A. S. Galperin, E. A. Ivanov, V. I. Ogievetsky and E. Sokatchev, “N=2 Supergravity In Superspace: Different Versions And Matter Couplings,” Class. Quant. Grav. 4 (1987) 1255
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J. A. Bagger, A. S. Galperin, E. A. Ivanov and V. I. Ogievetsky, “Gauging N=2 Sigma Models In Harmonic Superspace,” Nucl. Phys. B 303 (1988) 522
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S. Cecotti, P. Fendley, K. A. Intriligator and C. Vafa,
1992
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M. Bershadsky, S. Cecotti, H. Ooguri and C. Vafa,
1993
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I. Antoniadis, E. Gava, K. S. Narain and T. R. Taylor,
1994
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M. Bershadsky, S. Cecotti, H. Ooguri and C. Vafa,
1994
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A. Galperin, E. Ivanov and O. Ogievetsky, “Harmonic space and quaternionic manifolds,” Annals Phys. 230 (1994) 201 [arXiv:hep-th/9212155]
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H. Ooguri and C. Vafa,
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L. Andrianopoli, S. Ferrara, E. Sokatchev and B. Zupnik, “Shortening of primary operators in N-extended SCFT(4) and harmonic-superspace analyticity,” Adv. Theor. Math. Phys. 4 (2000) 1149 [arXiv:hep-th/9912007]
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E. Ivanov and G. Valent, “Quaternionic metrics from harmonic superspace: Lagrangian approach and quotient construction,” Nucl. Phys. B 576 (2000) 543 [arXiv:hep-th/0001165]
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A. S. Galperin, E. A. Ivanov, V. I. Ogievetsky and E. S. Sokatchev, “Harmonic Superspace,”
2001
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N. Berkovits and C. Vafa,
1995
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G. G. Hartwell and P. S. Howe, “(N, P, Q) Harmonic Superspace,” Int. J. Mod. Phys. A 10 (1995) 3901 [arXiv:hep-th/9412147]
1995
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S. Ferrara and E. Sokatchev, “Superconformal interpretation of BPS states in AdS geometries,” Int. J. Theor. Phys. 40 (2001) 935 [arXiv:hep-th/0005151]
2001
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I. Antoniadis, S. Hohenegger and K. S. Narain,
2007
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