SL(2,R) duality-symmetric action for electromagnetic theory with electric and magnetic sources

For the SL(2,R) duality-invariant generalization of Maxwell electrodynamics in the presence of both electric and magnetic sources, we formulate a local, manifestly duality-symmetric, Zwanziger-type action by introducing a pair of four-potentials Aμ and Bμ in a judicious way. On the two potentials Aμ...

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Published in:	Annals of physics Vol. 339; pp. 328 - 343
Main Authors:	Lee, Choonkyu, Min, Hyunsoo
Format:	Journal Article
Language:	English
Published:	New York Elsevier Inc 01-12-2013 Elsevier BV
Subjects:	Axion Born–Infeld Charging CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS Dilaton DUALITY Dynamics ELECTRODYNAMICS NONLINEAR PROBLEMS PHYSICS OF ELEMENTARY PARTICLES AND FIELDS POTENTIALS Quantum theory STRING MODELS STRING THEORY SYMMETRY TRANSFORMATIONS Zwanziger Electrodynamics Born–Infeld Duality Dilaton Axion Zwanziger
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Abstract	For the SL(2,R) duality-invariant generalization of Maxwell electrodynamics in the presence of both electric and magnetic sources, we formulate a local, manifestly duality-symmetric, Zwanziger-type action by introducing a pair of four-potentials Aμ and Bμ in a judicious way. On the two potentials Aμ and Bμ the SL(2,R) duality transformation acts in a simple linear manner. In quantum theory including charged source fields, this action can be recast as a SL(2,Z)-invariant action. Also given is a Zwanziger-type action for SL(2,R) duality-invariant Born–Infeld electrodynamics which can be important for D-brane dynamics in string theory. •We formulate a local, manifestly duality-symmetric, Zwanziger-type action.•Maxwell electrodynamics is generalized to include dilaton and axion fields.•SL(2,R) symmetry is manifest.•We formulate a local, manifestly duality-symmetric, nonlinear Born–Infeld action with SL(2,R) symmetry.
AbstractList	For the SL(2,R) duality-invariant generalization of Maxwell electrodynamics in the presence of both electric and magnetic sources, we formulate a local, manifestly duality-symmetric, Zwanziger-type action by introducing a pair of four-potentials A{sup μ} and B{sup μ} in a judicious way. On the two potentials A{sup μ} and B{sup μ} the SL(2,R) duality transformation acts in a simple linear manner. In quantum theory including charged source fields, this action can be recast as a SL(2,Z)-invariant action. Also given is a Zwanziger-type action for SL(2,R) duality-invariant Born–Infeld electrodynamics which can be important for D-brane dynamics in string theory. -- Highlights: •We formulate a local, manifestly duality-symmetric, Zwanziger-type action. •Maxwell electrodynamics is generalized to include dilaton and axion fields. •SL(2,R) symmetry is manifest. •We formulate a local, manifestly duality-symmetric, nonlinear Born–Infeld action with SL(2,R) symmetry. For the SL(2,R) duality-invariant generalization of Maxwell electrodynamics in the presence of both electric and magnetic sources, we formulate a local, manifestly duality-symmetric, Zwanziger-type action by introducing a pair of four-potentials Aμ and Bμ in a judicious way. On the two potentials Aμ and Bμ the SL(2,R) duality transformation acts in a simple linear manner. In quantum theory including charged source fields, this action can be recast as a SL(2,Z)-invariant action. Also given is a Zwanziger-type action for SL(2,R) duality-invariant Born–Infeld electrodynamics which can be important for D-brane dynamics in string theory. •We formulate a local, manifestly duality-symmetric, Zwanziger-type action.•Maxwell electrodynamics is generalized to include dilaton and axion fields.•SL(2,R) symmetry is manifest.•We formulate a local, manifestly duality-symmetric, nonlinear Born–Infeld action with SL(2,R) symmetry. For the SL(2,R) duality-invariant generalization of Maxwell electrodynamics in the presence of both electric and magnetic sources, we formulate a local, manifestly duality-symmetric, Zwanziger-type action by introducing a pair of four-potentials A mu A mu and B mu B mu in a judicious way. On the two potentials A mu A mu and B mu B mu the SL(2,R) duality transformation acts in a simple linear manner. In quantum theory including charged source fields, this action can be recast as a SL(2,Z)-invariant action. Also given is a Zwanziger-type action for SL(2,R) duality-invariant Born-Infeld electrodynamics which can be important for D-brane dynamics in string theory.
Author	Min, Hyunsoo Lee, Choonkyu
Author_xml	– sequence: 1 givenname: Choonkyu surname: Lee fullname: Lee, Choonkyu email: cklee@phya.snu.ac.kr organization: Department of Physics and Astronomy and Center for Theoretical Physics, Seoul National University, Seoul 151-747, Republic of Korea – sequence: 2 givenname: Hyunsoo surname: Min fullname: Min, Hyunsoo email: hsmin@dirac.uos.ac.kr organization: Department of Physics, University of Seoul, Seoul 130-743, Republic of Korea
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Cites_doi	10.1103/PhysRev.144.1087 10.1142/S0217751X01005067 10.1103/PhysRevD.18.2080 10.1088/1126-6708/2003/05/072 10.1016/0370-2693(88)90712-5 10.1103/PhysRevD.19.1153 10.1103/PhysRevLett.103.171601 10.1103/PhysRevD.81.125028 10.1103/PhysRev.176.1489 10.1103/PhysRevD.71.074502 10.1103/PhysRevD.11.2260 10.1016/0370-2693(84)91731-3 10.1016/S0370-2693(98)00957-5 10.1103/PhysRev.150.1349 10.1142/S0217751X01004104 10.1088/1126-6708/2008/06/040 10.1103/PhysRevD.13.1592 10.1016/0550-3213(81)90527-7 10.1142/S0217751X03016422 10.1016/S0550-3213(98)00741-X 10.1016/0550-3213(96)00173-3 10.1016/S0370-2693(97)00919-2 10.1103/PhysRevLett.58.1799 10.1016/0550-3213(94)90053-1 10.1016/S0370-2693(97)00338-9 10.1016/0370-2693(95)00463-U 10.1103/PhysRevD.3.880 10.1016/0370-1573(88)90098-1 10.1016/S0550-3213(97)00227-7 10.1103/PhysRevB.78.195424 10.1088/0305-4470/16/1/022 10.1016/0370-2693(95)01272-9 10.1007/BF01671570 10.1103/PhysRevD.32.1560 10.1126/science.1167747 10.1016/S0550-3213(01)00011-6 10.1103/PhysRevD.71.066003 10.1016/0370-2693(79)90838-4 10.1142/S0217732399002935
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Copyright	2013 Elsevier Inc. Copyright © 2013 Elsevier B.V. All rights reserved.
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Snippet	For the SL(2,R) duality-invariant generalization of Maxwell electrodynamics in the presence of both electric and magnetic sources, we formulate a local,...
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SubjectTerms	Axion Born–Infeld Charging CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS Dilaton DUALITY Dynamics ELECTRODYNAMICS NONLINEAR PROBLEMS PHYSICS OF ELEMENTARY PARTICLES AND FIELDS POTENTIALS Quantum theory STRING MODELS STRING THEORY SYMMETRY TRANSFORMATIONS Zwanziger
Title	SL(2,R) duality-symmetric action for electromagnetic theory with electric and magnetic sources
URI	https://dx.doi.org/10.1016/j.aop.2013.09.015 https://www.proquest.com/docview/1460867935 https://search.proquest.com/docview/1530979890 https://www.osti.gov/biblio/22224260
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