Higher melonic theories
Journal of High Energy Physics
September 2018, 2018:49 | Cite as
Higher melonic theories
AuthorsAuthors and affiliations
Steven S. GubserChristian JepsenZiming JiBrian Trundy
Open Access
Regular Article - Theoretical Physics
First Online: 10 September 2018
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Abstract
We classify a large set of melonic theories with arbitrary q-fold interactions, demonstrating that the interaction vertices exhibit a range of symmetries, always of the form ℤ 2 n for some n, which may be 0. The number of different theories proliferates quickly as q increases above 8 and is related to the problem of counting one-factorizations of complete graphs. The symmetries of the interaction vertex lead to an effective interaction strength that enters into the Schwinger-Dyson equation for the two-point function as well as the kernel used for constructing higher-point functions.
Keywords 1/N Expansion Conformal Field Theory Nonperturbative Effects
ArXiv ePrint: 1806.04800
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This article is distributed under the terms of the Creative Commons Attribution License (CC-BY 4.0), which permits any use, distribution and reproduction in any medium, provided the original author(s) and source are credited.
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