Spectral branes

Abstract

We study the objects (called spectral branes or S-branes) which are obtained by imposing non-local spectral boundary conditions at the boundary of the world sheet of the bosonic string. They possess many nice properties which make them an ideal test ground for the string theory methods. Depending on a particular choice of the boundary operator S-branes may be commutative or non-commutative. We demonstrate that projection of the B-field on the brane directions (i.e. on the components which actually influence the boundary conditions) is done with the help of the chirality operator. We show that the T-duality transformation maps an S-brane to another S-brane. At the expense of introducing non-local interactions in the bulk we construct also a duality transformation between S-branes and D-branes or open strings.

14 pages

Cited by in corpus (7)

• Heat kernel expansion: user's manual
• Dilaton Gravity in Two Dimensions
• Spectral boundary conditions for generalizations of Laplace and Dirac operators
• Spectral asymmetry for bag boundary conditions
• Casimir effect with non-local boundary conditions
• Analysis of Invariants Associated with Spectral Boundary Problems for an Elliptic Operator
• Spectral geometry for strings and branes