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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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##### References:
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