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arXiv · 1907.02501

One-loop beta-functions in 4-derivative gauge theory in 6 dimensions

Lorenzo Casarin·Arkady A. Tseytlin
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Abstract

A classically scale-invariant 6d analog of the 4d Yang-Mills theory is the 4-derivative $ (\nabla F)^2 + F^3$ gauge theory with two independent couplings. Motivated by a search for a perturbatively conformal but possibly non-unitary 6d models we compute the one-loop $\beta$-functions in this theory. A systematic way of doing this using the background field method requires the expression for the $b_6$ Seeley-DeWitt coefficient for a generic 4-derivative operator. It was previously unknown and we derive it here. As an application, we also compute the one-loop $\beta$-function in the (1,0) supersymmetric $ (\nabla F)^2$ 6d gauge theory constructed in hep-th/0505082.

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Lorenzo Casarin, Arkady A. Tseytlin. 2019-07-04. One-loop beta-functions in 4-derivative gauge theory in 6 dimensions. https://doi.org/10.1007/jhep08(2019)159

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