How <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>a</mml:mi></mml:math>-Type Anomalies Can Depend on Marginal Couplings
Christopher P. Herzog, Itamar Shamir
Abstract
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.
Topics & Concepts
Conformal mapConsistency (knowledge bases)Type (biology)Derivative (finance)Anomaly (physics)Point (geometry)Coupling (piping)Coupling constantTerm (time)PhysicsCombinatoricsMathematicsMaterials scienceMathematical analysisDiscrete mathematicsCondensed matter physicsQuantum mechanicsGeometryGeologyFinancial economicsPaleontologyMetallurgyEconomicsBlack Holes and Theoretical PhysicsCosmology and Gravitation TheoriesGeometric Analysis and Curvature Flows