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- W2938349128 abstract "We develop a general technique to obtain the super-heat-kernel coefficients of an arbitrary second-order operator in $N=1$ 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 $S$. 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." @default.
- W2938349128 created "2019-04-25" @default.
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- W2938349128 date "2019-09-16" @default.
- W2938349128 modified "2023-09-25" @default.
- W2938349128 title "Super heat kernel of general second order operators in N=1 superspace and one-loop divergence of dilaton-coupled SYM theory" @default.
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- W2938349128 doi "https://doi.org/10.1103/physrevd.100.055026" @default.
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