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Non-planar ABJ Theory and Parity · Around

2009

Non-planar ABJ Theory and Parity

Caputa, Pawel, Kristjansen, Charlotte, Zoubos, Konstantinos

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While the ABJ Chern-Simons-matter theory and its string theory dual manifestly lack parity invariance, no sign of parity violation has so far been observed on the weak coupling spin chain side.

In particular, the planar two-loop dilatation generator of ABJ theory is parity invariant.
In this letter we derive the non-planar part of the two-loop dilatation generator of ABJ theory in its SU(2)xSU(2) sub-sector.
Applying the dilatation generator to short operators, we explicitly demonstrate that, for operators carrying excitations on both spin chains, the non-planar part breaks parity invariance.

Built on

R. A. Janik, Phys. Lett. B 549
2002
Earlier work this paper cites.
N. Beisert, C. Kristjansen, and M. Staudacher, Nucl. Phys. B 664
2003
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J. A. Minahan and K. Zarembo, JHEP 0303
2003
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N. Beisert, C. Kristjansen, J. Plefka, G. W. Semenoff and M. Staudacher, Nucl. Phys. B 650
2003
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N. Beisert, C. Kristjansen, J. Plefka and M. Staudacher, Phys. Lett. B 558
2003
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K. Peeters, J. Plefka and M. Zamaklar, JHEP 0411
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