Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2003-04-23
Nucl.Phys.B688:70-100,2004
Physics
High Energy Physics
High Energy Physics - Theory
40 pages, 4 eps figures. Minor typos fixed
Scientific paper
10.1016/j.nuclphysb.2004.03.017
Sen has recently drawn attention to an exact time-dependent Boundary Conformal Field Theory with the space-time interpretation of brane creation and annihilation. An interesting limit of this BCFT is formally equivalent to an array of D-branes located in imaginary time. This raises the question: what is the meaning of D-branes in imaginary time? The answer we propose is that D-branes in imaginary time define purely closed string backgrounds. In particular we prove that the disk scattering amplitude of m closed strings off an arbitrary configuration of imaginary branes is equivalent to a sphere amplitude with m+1 closed string insertions. The extra puncture is a specific closed string state, generically normalizable, that depends on the details of the brane configuration. We study in some detail the special case of the array of imaginary D-branes related to Sen's BCFT and comment on its space-time interpretation. We point out that a certain limit of our set-up allows to study classical black hole creation and suggests a relation between Choptuik's critical behavior and a phase-transition a` la Gregory-Laflamme. We speculate that open string field theory on imaginary D-branes is dual to string theory on the corresponding closed string background.
Gaiotto Davide
Itzhaki Nissan
Rastelli Leonardo
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