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Y-system for \( {\mathbb{Z}_S} \) orbifolds of \( \mathcal{N} = 4 \) SYM. (English) Zbl 1298.81208

J. High Energy Phys. 2011, No. 6, Paper No. 004, 21 p. (2011); erratum ibid. 2012, No. 1, Paper No. 112, 4 p. (2012).
Summary: We propose a twisted Y-system for the calculation of leading wrapping corrections to physical states of general \( {\mathbb{Z}_S} \) orbifold projections of \( \mathcal{N} = 4 \) super Yang-Mills theory. Agreement with available thermodynamical Bethe Ansatz results is achieved in the non supersymmetric case. Various examples of new computations, including other supersymmetric orbifolds are illustrated.

MSC:

81T20 Quantum field theory on curved space or space-time backgrounds
81T40 Two-dimensional field theories, conformal field theories, etc. in quantum mechanics
57R18 Topology and geometry of orbifolds
81T13 Yang-Mills and other gauge theories in quantum field theory
81T60 Supersymmetric field theories in quantum mechanics
81R40 Symmetry breaking in quantum theory
82B23 Exactly solvable models; Bethe ansatz

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