TY - JOUR
T1 - Discrete states of two-dimensional string theory in Polyakov's light-cone gauge
AU - Marcus, Neil
AU - Oz, Yaron
N1 - Funding Information:
Among these models the c = l case is exceptional in that it has a two-dimensional space-time interpretation. In addition to the tachyon, the spectrum of this model consists of infinite set of discrete states, present for quantized values of momentum \[4,5 \], These special states appeared in the calculation of puncture operators correlation functions by Gross, Klebanov and Newman \[6\], and were found in the continuum by Polyakov, who interpreted them as remnants of transverse string exotations \[7 \]. Witten showed that the spin zero ghost number zero discrete states generate a ground ring, and that one can combine i Work supported in part by the US-Israel Binational Science Foundation, and the Israel Academy of Science. E-mail: NEIL@HALO.TAU.AC.IL, YARONOZ@TAUNIVM.BITNET.
PY - 1993/3/8
Y1 - 1993/3/8
N2 - We find the discrete states of the c = 1 string in the light-cone gauge of Polyakov. When the state space of the gravitational sector of the theory is taken to be the irreducible representations of the SL (2, R) current algebra, the cohomology of the theory is not the same as that in the conformal gauge. In particular, states with ghost numbers up to four appear. However, after taking the space of the theory to be the Fock space of the Wakimoto free-field representation of the SL (2, R), the light-cone and conformal gauges are equivalent. This supports the contention that the discrete states of the theory are physical. We point out that the natural states in the theory do not satisfy the KPZ constraints.
AB - We find the discrete states of the c = 1 string in the light-cone gauge of Polyakov. When the state space of the gravitational sector of the theory is taken to be the irreducible representations of the SL (2, R) current algebra, the cohomology of the theory is not the same as that in the conformal gauge. In particular, states with ghost numbers up to four appear. However, after taking the space of the theory to be the Fock space of the Wakimoto free-field representation of the SL (2, R), the light-cone and conformal gauges are equivalent. This supports the contention that the discrete states of the theory are physical. We point out that the natural states in the theory do not satisfy the KPZ constraints.
UR - http://www.scopus.com/inward/record.url?scp=0010852194&partnerID=8YFLogxK
U2 - 10.1016/0550-3213(93)90674-E
DO - 10.1016/0550-3213(93)90674-E
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AN - SCOPUS:0010852194
VL - 392
SP - 281
EP - 314
JO - Nuclear Physics B
JF - Nuclear Physics B
SN - 0550-3213
IS - 2
ER -