TY - JOUR

T1 - (1, q = -1) model as a topological description of 2D string theory

AU - Lavi, Yoav

AU - Oz, Yaron

AU - Sonnenschein, Jacob

PY - 1994/12/5

Y1 - 1994/12/5

N2 - We study the (1,q = -1) model coupled to topological gravity as a candidate to describing 2D string theory at the self-dual radius. We define the model by analytical continuation of q > 1 topological recursion relations to q = -1. We show that at genus zero the q = -1 recursion relations yield the W1+∞ Ward identities for tachyon correlators on the sphere. A scheme for computing correlation functions of q = -1 gravitational descendants is proposed and applied for the computation of several correlators. It is suggested that the latter correspond to correlators of discrete states of the c = 1 string. In a similar manner to the q > 1 models, we shaw that there exist topological recursion relations for the correlators in the q = -1 theory that consist of only one and two splittings of the Riemann surface. Using a postulated regularized contact, we prove that the genus one q = -1 recursion relations for tachyon correlators coincide with the W1+∞ Ward identities on the torus. We argue that the structure of these recursion relations coincides with that of the W1+∞ Ward identities for any genus.

AB - We study the (1,q = -1) model coupled to topological gravity as a candidate to describing 2D string theory at the self-dual radius. We define the model by analytical continuation of q > 1 topological recursion relations to q = -1. We show that at genus zero the q = -1 recursion relations yield the W1+∞ Ward identities for tachyon correlators on the sphere. A scheme for computing correlation functions of q = -1 gravitational descendants is proposed and applied for the computation of several correlators. It is suggested that the latter correspond to correlators of discrete states of the c = 1 string. In a similar manner to the q > 1 models, we shaw that there exist topological recursion relations for the correlators in the q = -1 theory that consist of only one and two splittings of the Riemann surface. Using a postulated regularized contact, we prove that the genus one q = -1 recursion relations for tachyon correlators coincide with the W1+∞ Ward identities on the torus. We argue that the structure of these recursion relations coincides with that of the W1+∞ Ward identities for any genus.

UR - http://www.scopus.com/inward/record.url?scp=0011604009&partnerID=8YFLogxK

U2 - 10.1016/0550-3213(94)90105-8

DO - 10.1016/0550-3213(94)90105-8

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AN - SCOPUS:0011604009

SN - 0550-3213

VL - 431

SP - 223

EP - 257

JO - Nuclear Physics, Section B

JF - Nuclear Physics, Section B

IS - 1-2

ER -