Abstract
We study the construction of covariant nonlinear duality-symmetric actions in dual formulation. Essentially, the construction is the PST-covariantisation and nonlinearisation of Zwanziger action. The covariantisation made use of three auxiliary scalar fields. Apart from these, the construction proceed in a similar way to that of the standard formulation. For example, the theories can be extended to include interactions with external fields, and that the theories possess two local PST symmetries. We then explicitly demonstrate the construction of covariant nonlinear duality-symmetric actions in dual formulation of DBI theory, and D3-brane. For each of these theories, the twisted selfduality condition obtained from duality-symmetric actions are explicitly shown to match with the duality relation between field strength and its dual from the one-potential actions. Their on-shell actions between the duality-symmetric and the one-potential versions are also shown to match. We also explicitly prove kappa-symmetry of the covariant nonlinear duality-symmetric D3-brane action in dual formulation.
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References
D. Zwanziger, Local Lagrangian quantum field theory of electric and magnetic charges, Phys. Rev. D 3 (1971) 880 [INSPIRE].
S. Deser and C. Teitelboim, Duality transformations of Abelian and non-Abelian gauge fields, Phys. Rev. D 13 (1976) 1592 [INSPIRE].
A. Maznytsia, C.R. Preitschopf and D.P. Sorokin, Duality of selfdual actions, Nucl. Phys. B 539 (1999) 438 [hep-th/9805110] [INSPIRE].
P. Pasti, D.P. Sorokin and M. Tonin, Duality symmetric actions with manifest space-time symmetries, Phys. Rev. D 52 (1995) R4277 [hep-th/9506109] [INSPIRE].
M.K. Gaillard and B. Zumino, Duality rotations for interacting fields, Nucl. Phys. B 193 (1981) 221 [INSPIRE].
G.W. Gibbons and D.A. Rasheed, Electric-magnetic duality rotations in nonlinear electrodynamics, Nucl. Phys. B 454 (1995) 185 [hep-th/9506035] [INSPIRE].
M.K. Gaillard and B. Zumino, Selfduality in nonlinear electromagnetism, hep-th/9705226 [INSPIRE].
J.J.M. Carrasco, R. Kallosh and R. Roiban, Covariant procedures for perturbative non-linear deformation of duality-invariant theories, Phys. Rev. D 85 (2012) 025007 [arXiv:1108.4390] [INSPIRE].
X. Bekaert and S. Cucu, Deformations of duality symmetric theories, Nucl. Phys. B 610 (2001) 433 [hep-th/0104048] [INSPIRE].
G. Bossard and H. Nicolai, Counterterms vs. dualities, JHEP 08 (2011) 074 [arXiv:1105.1273] [INSPIRE].
P. Pasti, D. Sorokin and M. Tonin, Covariant actions for models with non-linear twisted self-duality, Phys. Rev. D 86 (2012) 045013 [arXiv:1205.4243] [INSPIRE].
C. Lee and H. Min, SL(2, R) duality-symmetric action for electromagnetic theory with electric and magnetic sources, Annals Phys. 339 (2013) 328 [arXiv:1306.5520] [INSPIRE].
M. Henneaux and C. Teitelboim, Dynamics of chiral (selfdual) P -forms, Phys. Lett. B 206 (1988) 650 [INSPIRE].
M. Perry and J.H. Schwarz, Interacting chiral gauge fields in six-dimensions and Born-Infeld theory, Nucl. Phys. B 489 (1997) 47 [hep-th/9611065] [INSPIRE].
P. Pasti, D.P. Sorokin and M. Tonin, Covariant action for a D = 11 five-brane with the chiral field, Phys. Lett. B 398 (1997) 41 [hep-th/9701037] [INSPIRE].
I.A. Bandos, K. Lechner, A. Nurmagambetov, P. Pasti, D.P. Sorokin and M. Tonin, Covariant action for the superfive-brane of M-theory, Phys. Rev. Lett. 78 (1997) 4332 [hep-th/9701149] [INSPIRE].
A. Maznytsia, C.R. Preitschopf and D.P. Sorokin, Dual actions for chiral bosons, in International Workshop Supersymmetries and Integrable Systems, Dubna Russia, 22-26 June 1998 [hep-th/9808049] [INSPIRE].
S.-L. Ko and P. Vanichchapongjaroen, The dual formulation of M 5-brane action, JHEP 06 (2016) 022 [arXiv:1605.04705] [INSPIRE].
S.-L. Ko and P. Vanichchapongjaroen, A covariantisation of M 5-brane action in dual formulation, JHEP 01 (2018) 072 [arXiv:1712.06408] [INSPIRE].
M.B. Green and J.H. Schwarz, Covariant description of superstrings, Phys. Lett. B 136 (1984) 367 [INSPIRE].
M. Cederwall, A. von Gussich, B.E.W. Nilsson and A. Westerberg, The Dirichlet super three-brane in ten-dimensional type IIB supergravity, Nucl. Phys. B 490 (1997) 163 [hep-th/9610148] [INSPIRE].
M. Cederwall, A. von Gussich, B.E.W. Nilsson, P. Sundell and A. Westerberg, The Dirichlet super p-branes in ten-dimensional type IIA and IIB supergravity, Nucl. Phys. B 490 (1997) 179 [hep-th/9611159] [INSPIRE].
X. Bekaert and M. Henneaux, Comments on chiral p-forms, Int. J. Theor. Phys. 38 (1999) 1161 [hep-th/9806062] [INSPIRE].
I. Bandos, On Lagrangian approach to self-dual gauge fields in spacetime of nontrivial topology, JHEP 08 (2014) 048 [arXiv:1406.5185] [INSPIRE].
M. Henneaux and C. Teitelboim, Quantization of gauge systems, Princeton University Press, Princeton U.S.A., (1992) [INSPIRE].
S. Deser and O. Sarioglu, Hamiltonian electric/magnetic duality and Lorentz invariance, Phys. Lett. B 423 (1998) 369 [hep-th/9712067] [INSPIRE].
J.H. Schwarz, Coupling a selfdual tensor to gravity in six-dimensions, Phys. Lett. B 395 (1997) 191 [hep-th/9701008] [INSPIRE].
S.-L. Ko, D. Sorokin and P. Vanichchapongjaroen, The M 5-brane action revisited, JHEP 11 (2013) 072 [arXiv:1308.2231] [INSPIRE].
J. Broedel, J.J.M. Carrasco, S. Ferrara, R. Kallosh and R. Roiban, N = 2 supersymmetry and U(1)-duality, Phys. Rev. D 85 (2012) 125036 [arXiv:1202.0014] [INSPIRE].
D. Berman, SL(2,Z) duality of Born-Infeld theory from nonlinear selfdual electrodynamics in six-dimensions, Phys. Lett. B 409 (1997) 153 [hep-th/9706208] [INSPIRE].
M. Aganagic, C. Popescu and J.H. Schwarz, D-brane actions with local kappa symmetry, Phys. Lett. B 393 (1997) 311 [hep-th/9610249] [INSPIRE].
M. Cederwall and A. Westerberg, World volume fields, SL(2 : Z) and duality: the type IIB three-brane, JHEP 02 (1998) 004 [hep-th/9710007] [INSPIRE].
A. Nurmagambetov, Duality symmetric three-brane and its coupling to type IIB supergravity, Phys. Lett. B 436 (1998) 289 [hep-th/9804157] [INSPIRE].
T. Suzuki, Supersymmetric action of SL(2 : Z) covariant D3-brane and its kappa symmetry, Phys. Lett. B 476 (2000) 387 [hep-th/9911201] [INSPIRE].
A. Khoudeir and Y. Parra, On duality in the Born-Infeld theory, Phys. Rev. D 58 (1998) 025010 [hep-th/9708011] [INSPIRE].
D. Berman, M5 on a torus and the three-brane, Nucl. Phys. B 533 (1998) 317 [hep-th/9804115] [INSPIRE].
C.G. Callan and J.M. Maldacena, Brane death and dynamics from the Born-Infeld action, Nucl. Phys. B 513 (1998) 198 [hep-th/9708147] [INSPIRE].
G.W. Gibbons, Born-Infeld particles and Dirichlet p-branes, Nucl. Phys. B 514 (1998) 603 [hep-th/9709027] [INSPIRE].
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Vanichchapongjaroen, P. Dual formulation of covariant nonlinear duality-symmetric action of kappa-symmetric D3-brane. J. High Energ. Phys. 2018, 116 (2018). https://doi.org/10.1007/JHEP02(2018)116
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DOI: https://doi.org/10.1007/JHEP02(2018)116