Roaming moduli space using dynamical triangulations

TY - JOUR

T1 - Roaming moduli space using dynamical triangulations

AU - Ambjørn, Jan

AU - Barkley, J.

AU - Budd, Timothy George

PY - 2012/5/11

Y1 - 2012/5/11

N2 - In critical as well as in non-critical string theory the partition function reduces to an integral over moduli space after integration over matter fields. For non-critical string theory this moduli integrand is known for genus one surfaces. The formalism of dynamical triangulations provides us with a regularization of non-critical string theory. We show how to assign in a simple and geometrical way a moduli parameter to each triangulation. After integrating over possible matter fields we can thus construct the moduli integrand. We show numerically for c= 0 and c= -2 non-critical strings that the moduli integrand converges to the known continuum expression when the number of triangles goes to infinity.

AB - In critical as well as in non-critical string theory the partition function reduces to an integral over moduli space after integration over matter fields. For non-critical string theory this moduli integrand is known for genus one surfaces. The formalism of dynamical triangulations provides us with a regularization of non-critical string theory. We show how to assign in a simple and geometrical way a moduli parameter to each triangulation. After integrating over possible matter fields we can thus construct the moduli integrand. We show numerically for c= 0 and c= -2 non-critical strings that the moduli integrand converges to the known continuum expression when the number of triangles goes to infinity.

U2 - 10.1016/j.nuclphysb.2012.01.010

DO - 10.1016/j.nuclphysb.2012.01.010

M3 - Journal article

SN - 0550-3213

VL - 858

SP - 267

EP - 292

JO - Nuclear Physics B

JF - Nuclear Physics B

IS - 2

ER -