Pseudo-Duality

Abstract

Proper symmetries act on fields while pseudo-symmetries act on both fields and coupling constants. We identify the pseudo-duality groups that act as symmetries of the equations of motion of general systems of scalar and vector fields and apply our results to $N=2,4$ and $8$ supergravity theories. We present evidence that the pseudo-duality group for both the heterotic and type II strings toroidally compactified to four dimensions is $Sp(56;\mathbb{Z})\times D$, where $D$ is a certain subgroup of the diffeomorphism group of the scalar field target space. This contains the conjectured heterotic $S\times T$ or type II $U$ proper duality group as a subgroup.

13 pages, phyzzx macro

References in corpus (10)

• Target Space Duality in String Theory
• Duality Symmetric Actions
• Dyon - Monopole Bound States, Self-Dual Harmonic Forms on the Multi-Monopole Moduli Space, and SL(2,Z) Invariance in String Theory
• Symmetry structure of special geometries
• Duality Symmetries of 4D Heterotic Strings
• Black and super p-branes in diverse dimensions
• Electric Magnetic Duality in String Theory
• Quantization of Dyon Charge and Electric-Magnetic Duality in String Theory
• Magnetic Monopoles, Bogomol'nyi Bound and SL(2,Z) Invariance in String Theory
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Cited by in corpus (9)

• `Stringy' Newton-Cartan Gravity
• Newton-Cartan (super)gravity as a non-relativistic limit
• Electromagnetic Quasitopological Gravities
• Duality-invariant extensions of Einstein-Maxwell theory
• Special geometry and symplectic transformations
• The Non-Relativistic Superparticle in a Curved Background
• The BRST--antibracket cohomology of $2d$ gravity conformally coupled to scalar matter
• The geometry and DSZ quantization of four-dimensional supergravity
• The low-energy effective action for perturbative heterotic strings on $K_3\times T^2$ and the d=4 N=2 vector-tensor multiplet