TY - JOUR

T1 - c = 1 string theory as a topological G/G model

AU - Aharony, O.

AU - Ganor, O.

AU - Sonnenschein, J.

AU - Yankielowicz, S.

N1 - Funding Information:
In previous publications \[2-4\] we have put forward the equivalence between twisted topological G/G models of A~2t at level k=p/q-N and the (p, q) W~v minimal models coupled to WN gravity. We have also demonstrated that the cohomology ring is the same for twisted G/H topological models with rank G=rankH. In this paper we investigate the twisted SL(2, ~)/SL(2, R) theory at level k=-1, derive the space of physical states and establish its equivalence to that of the c= 1 string theory coupled to gravity \[5 \]. First indications towards this equivalence were already given in ref. \[2 \]. In particular we identify the tachyon operators as well as the ground ring generators. We further discuss the generalization of our methods to other SL(2, ~) levels which cor- Work supported in part by the US-Israel Binational Science Foundation and the Israel Academy of Sciences.

PY - 1993/5/6

Y1 - 1993/5/6

N2 - The physical states on the free field Fock space of the SL(2, R)/SL(2, R) model at any level are computed. Using a similarity transformation on QBRST, the cohomology of the latter is mapped into a direct sum of simpler cohomologies. We show a one to one correspondence between the states of the k = -1 model and those of the c = 1 string model. A full equivalence between the SL(2, R)/SL(2, R) and SL(2, R)/U(1) models at the level of their Fock space cohomologies is found.

AB - The physical states on the free field Fock space of the SL(2, R)/SL(2, R) model at any level are computed. Using a similarity transformation on QBRST, the cohomology of the latter is mapped into a direct sum of simpler cohomologies. We show a one to one correspondence between the states of the k = -1 model and those of the c = 1 string model. A full equivalence between the SL(2, R)/SL(2, R) and SL(2, R)/U(1) models at the level of their Fock space cohomologies is found.

UR - http://www.scopus.com/inward/record.url?scp=13844256082&partnerID=8YFLogxK

U2 - 10.1016/0370-2693(93)91102-S

DO - 10.1016/0370-2693(93)91102-S

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AN - SCOPUS:13844256082

SN - 0370-2693

VL - 305

SP - 35

EP - 42

JO - Physics Letters B

JF - Physics Letters B

IS - 1-2

ER -