Abstract
We develop a general technique to obtain the super-heat-kernel coefficients of an arbitrary second-order operator in superspace. Here we focus on the space of conformal supergravity, but the method presented is equally applicable for other types of superspace. The first three coefficients that determine the one-loop divergence of the corresponding quantum theory are calculated. As an application, we present the one-loop logarithmic divergence of super Yang-Mills (SYM) theory coupled to a string dilaton . This is the first superfield calculation for SYM theory with a nontrivial gauge kinetic function, which generalizes the previous result with a constant-coupling strength. We also demonstrate that the method presented can be extended to the case of third-order operators, with the restriction that its third-order part is composed of only spinor derivatives.
- Received 27 April 2019
DOI:https://doi.org/10.1103/PhysRevD.100.055026
Published by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article’s title, journal citation, and DOI. Funded by SCOAP3.
Published by the American Physical Society