期刊
NUCLEAR PHYSICS B
卷 827, 期 3, 页码 381-405出版社
ELSEVIER
DOI: 10.1016/j.nuclphysb.2009.10.011
关键词
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资金
- Korea National Science Foundation [R01-2008-000-10656-0, SRC-CQUeST-R11-2005-021, 2008-313-C00175, 2005-084-C00003, 2009-008-0372]
- EU-FP Marie Curie Research & Training Networks [HPRN-CT-2006-035863]
- U.S. National Science Foundation [PHY05-51164]
- National Research Foundation of Korea [2008-313-C00175, R01-2008-000-10656-0, 2005-084-C00003] Funding Source: Korea Institute of Science & Technology Information (KISTI), National Science & Technology Information Service (NTIS)
We revisit unitary representation of centrally extended psu(2/2) excitation superalgebra. We find most generally that 'pseudo-momentum', not lattice momentum, diagonalizes spin chain Hamiltonian and leads to generalized dynamic spin chain. All known results point to lattice momentum diagonalization for N = 4 super-Yang-Mills theory. Having different interacting structure, we ask if N = 6 superconformal Chern-Simons theory provides an example of pseudo-momentum diagonalization. For SO(6) sector, we study maximal shuffling and next-to-maximal shuffling terms in the dilatation operator and compare them with results expected from psu(2/2) superalgebra and integrability. At two loops, we rederive maximal shuffling term (3-site) and find perfect agreement with known results. At four loops, we first find absence of next-to-maximal shuffling term (4-site), in agreement with prediction based on integrability. We next extract maximal shuffling term (5-site), the most relevant term for checking the possibility of pseudo-momentum diagonalization. Curiously, we find that result agrees with integrability prediction based on lattice momentum, as in N = 4 super-Yang-Mills theory. Consistency of our results is fully ensured by checks of renormalizability up to six loops. (C) 2009 Elsevier B.V. All rights reserved.
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