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Investigating the BPS spectrum of non-critical \(E_n\) strings. (English) Zbl 0925.81282
Summary: We use the effective action of the \(E_n\) non-critical strings to studyits BPS spectrum for \(0\leqslant n\leqslant 8\). We show how to introduce mass parameters, or Wilson lines, into the effective action, and then perform the appropriate asymptotic expansions that yield the BPS spectrum. The result is the \(E_n\) character expansion of the spectrum, and is equivalent to performing the mirror map on a Calabi-Yau with up to nine Kähler moduli. This enables a much more detailed examination of the \(E_n\) structure of the theory, and provides extensive checks on the effective action description of the non-critical string. We extract some universal (\(E_n\)-independent) information concerning the degeneracies of BPS excitations.

MSC:
81T30 String and superstring theories; other extended objects (e.g., branes) in quantum field theory
32G81 Applications of deformations of analytic structures to the sciences
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