Conjectures of Ashoke Sen: Scope, Exact Tests and Analytic Limits
We examine thirty-six selected statements associated with Ashoke Sen's work on duality, tachyon condensation, black hole indices and string field theory. The purpose is to distinguish mathematical results within a specified framework, physical conjectures, and extensions beyond the assumptions used in a derivation. Exact product expansions reproduce known negative dyon indices in toroidal orbifolds; with the charge cone transcribed correctly, a finite scan contains thirty negative-index charge triples. These numbers concern the full index, whose sign need not agree with a horizon index after…
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