Open fishchain in N = 4 Supersymmetric Yang-Mills Theory
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Abstract We consider a cusped Wilson line with J insertions of scalar fields in $$ \mathcal{N} $$ N = 4 SYM and prove that in a certain limit the Feynman graphs are integrable to all loop orders. We identify the integrable system as a quantum fishchain with open boundary conditions. The existence of the boundary degrees of freedom results in the boundary reflection operator acting non-trivially on the physical space. We derive the Baxter equation for Q-functions and provide the quantisation condition for the spectrum. This allows us to find the non-perturbative spectrum numerically.
1993 ◽
Vol 102
(3)
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pp. 367-387
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2016 ◽
Vol 2016
(6)
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pp. 063105
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2003 ◽
Vol 23
(11-13)
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pp. 1055-1070
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2004 ◽
Vol 699
(3)
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pp. 595-631
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2006 ◽
Vol 3
(5)
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pp. 1481-1514
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2011 ◽