Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
1997-05-29
Nucl.Phys. B508 (1997) 64-106
Physics
High Energy Physics
High Energy Physics - Theory
50 pages, harvmac (b)
Scientific paper
10.1016/S0550-3213(97)00527-0
We use the effective action of the $E_n$ non-critical strings to study its BPS spectrum for $0 \le n \le 8$. 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 K\"ahler 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.
Minahan Joseph A.
Nemeschansky Dennis
Warner Nicholas P.
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