D-brane Dualities as Canonical Transformations
Y. Lozano (Univ. Utrecht)
TL;DR
This paper demonstrates that SL(2,R) duality in type IIB superstring theory can be understood as a canonical transformation exchanging momenta and magnetic degrees of freedom on the D-3-brane, linking D-strings to (m,n) solutions.
Contribution
It formulates the SL(2,R) duality as a canonical transformation and connects D-brane dualities to known supergravity solutions, providing a new perspective on string dualities.
Findings
SL(2,R) duality as a canonical transformation.
D-strings related to (m,n) supergravity solutions.
Type IIA D-2-brane duality to M-theory membrane reduction.
Abstract
We show that the SL(2,R) duality symmetry of type IIB superstring theory can be formulated as the canonical transformation interchanging momenta and magnetic degrees of freedom associated to the abelian world-volume gauge field of the D-3-brane. D-strings are shown to be connected under the corresponding transformation in the world-sheet to the (m,n) family of string solutions of type IIB supergravity constructed by Schwarz. For the type IIA superstring the D-2-brane is mapped under the three dimensional world-volume electric-magnetic duality to the dimensional reduction of the membrane of M-theory.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.