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Boundary gauge and gravitational anomalies from Ward identities
Uppsala University, Disciplinary Domain of Science and Technology, Physics, Department of Physics and Astronomy, Theoretical Physics.
2019 (English)In: Journal of High Energy Physics (JHEP), ISSN 1126-6708, E-ISSN 1029-8479, no 7, article id 047Article in journal (Refereed) Published
Abstract [en]

We consider the two-point functions of conserved bulk currents and energymomentum tensor in a boundary CFT defined on R_(1,2). Starting from the consistent forms of boundary gauge and gravitational anomalies we derive their respective contributions to the correlation functions in the form of anomalous Ward identities. Using the recently developed momentum space formalism we find an anomalous solution to each of these identities depending on a single undetermined form-factor. We study the solution in two different kinematic limits corresponding to small and large momentum p(n), perpendicular to the boundary. We find that the anomalous term interpolates between a non-local form resembling the standard anomaly-induced term in a two-dimensional CFT at small pn and Chern-Simons contact terms at large pn. Using this we derive some consistency conditions regarding the dependence of these anomalies on the boundary conditions and discuss possible cancellation mechanisms. These ideas are then demonstrated on the explicit example of free, massless three-dimensional fermion. In particular we manage to obtain the respective anomalies via a diagrammatic momentum space computation and expose the well- known relation between bulk parity anomaly and boundary gauge anomalies.

Place, publisher, year, edition, pages
SPRINGER , 2019. no 7, article id 047
Keywords [en]
Anomalies in Field and String Theories, Boundary Quantum Field Theory, Conformal Field Theory
National Category
Subatomic Physics
Identifiers
URN: urn:nbn:se:uu:diva-391007DOI: 10.1007/JHEP07(2019)047ISI: 000475760100002OAI: oai:DiVA.org:uu-391007DiVA, id: diva2:1344536
Funder
EU, European Research Council, 639220Available from: 2019-08-21 Created: 2019-08-21 Last updated: 2019-08-21Bibliographically approved

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