241 citations · 1.7k across the 50 of their papers we have counts for
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Spin Multiplicities
Thomas Curtright, Thomas Van Kortryk, Cosmas Zachos
The number of times spin s appears in the Kronecker product of n spin j representations is computed, and the large n asymptotic behavior of the result is obtained. Applications are…
RG flows, cycles, and c-theorem folklore
Thomas L Curtright, Xiang Jin, Cosmas K Zachos
Monotonic renormalization group flows of the "c" and "a" functions are often cited as reasons why cyclic or chaotic coupling trajectories cannot occur. It is argued here, based on…
Renormalization Group Functional Equations
Thomas L. Curtright, Cosmas K. Zachos
Functional conjugation methods are used to analyze the global structure of various renormalization group trajectories, and to gain insight into the interplay between continuous and…
Classical and Quantal Ternary Algebras
Thomas Curtright, David Fairlie, Xiang Jin +2
We consider several ternary algebras relevant to physics. We compare and contrast the quantal versions of the algebras, as realized through associative products of operators, with…
Ternary Virasoro - Witt Algebra
Thomas L Curtright, David B Fairlie, Cosmas K Zachos
A 3-bracket variant of the Virasoro-Witt algebra is constructed through the use of su(1,1) enveloping algebra techniques. The Leibniz rules for 3-brackets acting on other 3-bracket…
Chern-Simons and WZW Anomaly Cancelations Across Dimensions
Christopher T. Hill, Cosmas K. Zachos
The WZW functional in D=4 can be derived directly from the Chern-Simons functional of a compactified D=5 gauge theory and the boundary fermions it supplants. A simple pedagogical m…