How a-type anomalies can depend on marginal couplings

TY - JOUR

T1 - How a-type anomalies can depend on marginal couplings

AU - Herzog, Christopher Parker

AU - Shamir, Itamar

PY - 2020/1/2

Y1 - 2020/1/2

N2 - Even dimensional defects and boundaries in conformal field theory support type a anomalies on their world volume. We show that the one-point functions of marginal operators, in the presence of defects and boundaries, are anomalous, and that the Wess-Zumino consistency condition relates them to the derivative of the a anomaly with respect to the marginal coupling. We also argue that the constant term F for odd dimensional surfaces can depend on marginal parameters.

AB - Even dimensional defects and boundaries in conformal field theory support type a anomalies on their world volume. We show that the one-point functions of marginal operators, in the presence of defects and boundaries, are anomalous, and that the Wess-Zumino consistency condition relates them to the derivative of the a anomaly with respect to the marginal coupling. We also argue that the constant term F for odd dimensional surfaces can depend on marginal parameters.

UR - http://www.scopus.com/inward/record.url?scp=85078300123&partnerID=8YFLogxK

U2 - 10.1103/PhysRevLett.124.011601

DO - 10.1103/PhysRevLett.124.011601

M3 - Letter

SN - 0031-9007

VL - 124

JO - Physical Review Letters

JF - Physical Review Letters

IS - 1

M1 - 011601

ER -