Non-planar ABJ Theory and Parity

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Standard

Non-planar ABJ Theory and Parity. / Caputa, Pawel; Kristjansen, Charlotte; Zoubos, Konstantinos.

I: Physics Letters B, Bind 677, Nr. 3-4, 19.03.2009, s. 197-202.

Publikation: Bidrag til tidsskrift › Tidsskriftartikel › Forskning › fagfællebedømt

Harvard

Caputa, P, Kristjansen, C & Zoubos, K 2009, 'Non-planar ABJ Theory and Parity', Physics Letters B, bind 677, nr. 3-4, s. 197-202. https://doi.org/10.1016/j.physletb.2009.05.021

APA

Caputa, P., Kristjansen, C., & Zoubos, K. (2009). Non-planar ABJ Theory and Parity. Physics Letters B, 677(3-4), 197-202. https://doi.org/10.1016/j.physletb.2009.05.021

Vancouver

Caputa P, Kristjansen C, Zoubos K. Non-planar ABJ Theory and Parity. Physics Letters B. 2009 mar. 19;677(3-4):197-202. https://doi.org/10.1016/j.physletb.2009.05.021

Author

Caputa, Pawel ; Kristjansen, Charlotte ; Zoubos, Konstantinos. / Non-planar ABJ Theory and Parity. I: Physics Letters B. 2009 ; Bind 677, Nr. 3-4. s. 197-202.

Bibtex

@article{5e0c6aadc8af4e9891a39243b4aee8d8,
title = "Non-planar ABJ Theory and Parity",
abstract = "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. For operators with only one type of excitation, however, parity remains conserved at the non-planar level. We furthermore observe that, as for ABJM theory, the degeneracy between planar parity pairs is lifted when non-planar corrections are taken into account.",
keywords = "hep-th",
author = "Pawel Caputa and Charlotte Kristjansen and Konstantinos Zoubos",
note = "11 pages, 1 figure. v2: Typos fixed, minor clarifications",
year = "2009",
month = mar,
day = "19",
doi = "10.1016/j.physletb.2009.05.021",
language = "English",
volume = "677",
pages = "197--202",
journal = "Physics Letters B: Particle Physics, Nuclear Physics and Cosmology",
issn = "0370-2693",
publisher = "Elsevier",
number = "3-4",

}

RIS

TY - JOUR

T1 - Non-planar ABJ Theory and Parity

AU - Caputa, Pawel

AU - Kristjansen, Charlotte

AU - Zoubos, Konstantinos

N1 - 11 pages, 1 figure. v2: Typos fixed, minor clarifications

PY - 2009/3/19

Y1 - 2009/3/19

N2 - 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. For operators with only one type of excitation, however, parity remains conserved at the non-planar level. We furthermore observe that, as for ABJM theory, the degeneracy between planar parity pairs is lifted when non-planar corrections are taken into account.

AB - 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. For operators with only one type of excitation, however, parity remains conserved at the non-planar level. We furthermore observe that, as for ABJM theory, the degeneracy between planar parity pairs is lifted when non-planar corrections are taken into account.

KW - hep-th

U2 - 10.1016/j.physletb.2009.05.021

DO - 10.1016/j.physletb.2009.05.021

M3 - Journal article

VL - 677

SP - 197

EP - 202

JO - Physics Letters B: Particle Physics, Nuclear Physics and Cosmology

JF - Physics Letters B: Particle Physics, Nuclear Physics and Cosmology

SN - 0370-2693

IS - 3-4

ER -

ID: 186915344