Semantic Scholar Open Access 2012 15 sitasi

Conformal field theories with infinitely many conservation laws

I. Todorov

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Abstrak

Globally conformal invariant quantum field theories in a D-dimensional space-time (D even) have rational correlation functions and admit an infinite number of conserved (symmetric traceless) tensor currents. In a theory of a scalar field of dimension D-2 they were demonstrated to be generated by bilocal normal products of free massless scalar fields with an O(N), U(N), or Sp(2N) (global) gauge symmetry [B. Bakalov, N. M. Nikolov, K.-H. Rehren, and I. Todorov, “Unitary positive energy representations of scalar bilocal fields,” Commun. Math. Phys. 271, 223–246 (2007)10.1007/s00220-006-0182-2; e-print arXiv:math-ph/0604069v3; B. Bakalov, N. M. Nikolov, K.-H. Rehren, and I. Todorov, “Infinite dimensional Lie algebras in 4D conformal quantum field theory,” J. Phys. A Math Theor. 41, 194002 (2008)10.1088/1751-8113/41/19/194002; e-print arXiv:0711.0627v2 [hep-th]]. Recently, conformal field theories “with higher spin symmetry” were considered for D = 3 by Maldacena and Zhiboedov [“Constraining conformal field th...

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I. Todorov

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Todorov, I. (2012). Conformal field theories with infinitely many conservation laws. https://doi.org/10.1063/1.4790408

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Lihat di Sumber doi.org/10.1063/1.4790408

Informasi Jurnal

Tahun Terbit: 2012
Bahasa: en
Total Sitasi: 15×
Sumber Database: Semantic Scholar
DOI: 10.1063/1.4790408
Akses: Open Access ✓