Wilson surface central charge from holographic entanglement entropy

Estes, John (0000 0001 2188 3760, New York City College of Technology, City University of New York, 300 Jay Street, Brooklyn, NY, 11201, U.S.A.) ; Krym, Darya (0000 0001 2188 3760, New York City College of Technology, City University of New York, 300 Jay Street, Brooklyn, NY, 11201, U.S.A.) ; O’Bannon, Andy (0000 0004 1936 9297, STAG Research Centre, Physics and Astronomy, University of Southampton, Highfield, Southampton, SO17 1BJ, U.K.) ; Robinson, Brandon (0000 0004 1936 9297, STAG Research Centre, Physics and Astronomy, University of Southampton, Highfield, Southampton, SO17 1BJ, U.K.) ; Rodgers, Ronnie (0000 0004 1936 9297, STAG Research Centre, Physics and Astronomy, University of Southampton, Highfield, Southampton, SO17 1BJ, U.K.)

07 May 2019

Abstract: We use entanglement entropy to define a central charge associated to a twodimensional defect or boundary in a conformal field theory (CFT). We present holographic calculations of this central charge for several maximally supersymmetric CFTs dual to eleven-dimensional supergravity in Anti-de Sitter space, namely the M5-brane theory with a Wilson surface defect and three-dimensional CFTs related to the M2-brane theory with a boundary. Our results for the central charge depend on a partition of N M2-branes ending on M M5-branes. For the Wilson surface, the partition specifies a representation of the gauge algebra, and we write our result for the central charge in a compact form in terms of the algebra’s Weyl vector and the representation’s highest weight vector. We explore how the central charge scales with N and M for some examples of partitions. In general the central charge does not scale as M 3 or N 3/2 , the number of degrees of freedom of the M5- or M2-brane theory at large M or N , respectively.


Published in: JHEP 1905 (2019) 032
Published by: Springer/SISSA
DOI: 10.1007/JHEP05(2019)032
arXiv: 1812.00923
License: CC-BY-4.0



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