TY - JOUR
T1 - The worldsheet conformal field theory of the fractional superstring
AU - Dienes, Keith R.
N1 - Funding Information:
We are pleased to thank Philip Argyres, C.S. Lam, and Henry Tye for many useful discussions, and we acknowledge the hospitality of the Aspen Center for Physics where portions of this work were initiated. This work was supported in part by the Natural Sciences and Engineering Research Council of Canada and by les fonds FCAR du Québec.
PY - 1994/1/31
Y1 - 1994/1/31
N2 - Two of the important unresolved issues concerning fractional superstrings have been the appearance of new massive sectors whose space-time statistics properties are unclear, and the appearance of new types of "internal projections" which alter or deform the worldsheet conformal field theory in a highly non-trivial manner. In this paper we provide a systematic analysis of these two connected issues, and explicitly map out the effective post-projection worldsheet theories for each of the fractional-superstring sectors. In this way we determine their central charges, highest weights, fusion rules, and characters, and find that these theories are isomorphic to those of free worldsheet bosons and fermions. We also analyze the recently-discovered parafermionic "twist current" which has been shown to play an important role in reorganizing the fractional-superstring Fock space, and find that this current can be expressed directly in terms of the primary fields of the post-projection theory. This thereby enables us to deduce some of the space-time statistics properties of the surviving states.
AB - Two of the important unresolved issues concerning fractional superstrings have been the appearance of new massive sectors whose space-time statistics properties are unclear, and the appearance of new types of "internal projections" which alter or deform the worldsheet conformal field theory in a highly non-trivial manner. In this paper we provide a systematic analysis of these two connected issues, and explicitly map out the effective post-projection worldsheet theories for each of the fractional-superstring sectors. In this way we determine their central charges, highest weights, fusion rules, and characters, and find that these theories are isomorphic to those of free worldsheet bosons and fermions. We also analyze the recently-discovered parafermionic "twist current" which has been shown to play an important role in reorganizing the fractional-superstring Fock space, and find that this current can be expressed directly in terms of the primary fields of the post-projection theory. This thereby enables us to deduce some of the space-time statistics properties of the surviving states.
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U2 - 10.1016/0550-3213(94)90616-5
DO - 10.1016/0550-3213(94)90616-5
M3 - Article
AN - SCOPUS:0041326651
SN - 0550-3213
VL - 413
SP - 103
EP - 161
JO - Nuclear Physics, Section B
JF - Nuclear Physics, Section B
IS - 1-2
ER -