Evidence for C-theorems in 6D SCFTs
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Publication:2635918
DOI10.1007/JHEP09(2015)218zbMATH Open1388.81988arXiv1506.06753MaRDI QIDQ2635918
Author name not available (Why is that?)
Publication date: 31 May 2018
Published in: (Search for Journal in Brave)
Abstract: Using the recently established classification of 6D SCFTs we present evidence for the existence of families of weak C-functions, that is, quantities which decrease in a flow from the UV to the IR. Introducing a background R-symmetry field strength R and a non-trivial tangent bundle T on the 6D spacetime, we consider C-functions given by the linear combinations C = m1 alpha + m2 beta + m3 gamma, where alpha, beta and gamma are the anomaly polynomial coefficients for the formal characteristic classes c2(R)^2, c2(R)p1(T) and p1(T)^2. By performing a detailed sweep over many theories, we determine the shape of the unbounded monotonic region in "m-space" compatible with both Higgs branch flows and tensor branch flows. We also verify that --as expected-- the Euler density conformal anomaly falls in the admissible region.
Full work available at URL: https://arxiv.org/abs/1506.06753
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