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Self-duality of Born-Infeld action and Dirichlet 3-brane of type IIB superstring theory
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D-brane actions depend on a world-volume abelian vector field and are described by Born-Infeld-type actions. We consider the vector field duality transformations of these actions. Like the usual 2d scalar duality rotations of isometric string coordinates imply target space T-duality, this vector duality is intimately connected with SL(2,Z)-symmetry of type IIB superstring theory. We find that in parallel with generalised 4-dimensional Born-Infeld action, the action of 3-brane of type IIB theory is SL(2,Z) self-dual. This indicates that 3-brane should play a special role in type IIB theory and also suggests a possibility of its 12-dimensional reformulation.
Forward citations
Cited by 3 Pith papers
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On Covariant Actions for Chiral $p-$Forms
A polynomial, Lorentz-covariant action for free chiral p-forms is presented, equivalent to PST and featuring an auxiliary p-form.
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Derives inherently 9D one-loop effective couplings in type IIB from T-duality on reduced IIA terms at order alpha'^3, demonstrating S-duality invariance without tree-level or non-perturbative input and consistency wit...
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Defrosting the Born-Infeld dyonic frozen star with tachyon matter: spectrum of oscillations
A Born-Infeld Lagrangian with electric, magnetic, and tachyon charges reproduces the slow, long-lived oscillation spectrum of the defrosted frozen star.
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