BPS Wilson loops and Bremsstrahlung function in ABJ(M): a two loop analysis - INSPIRE

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BPS Wilson loops and Bremsstrahlung function in ABJ(M): a two loop analysis

Marco S. Bianchi
(
- Humboldt U., Berlin
)
,
Luca Griguolo
(
- Parma U. and
- INFN, Parma
)
,
Matias Leoni
(
- Buenos Aires, CONICET
)
,
Silvia Penati
(
- Milan Bicocca U. and
- INFN, Milan Bicocca
)
,
Domenico Seminara
(
- Florence U. and
- INFN, Florence
)

Feb 17, 2014

40 pages

Published in:

JHEP 06 (2014) 123

Published: 2014

e-Print:

1402.4128 [hep-th]

DOI:

10.1007/JHEP06(2014)123

View in:

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Abstract: (Springer)

We study a family of circular BPS Wilson loops in = 6 super Chern-Simons-matter theories, generalizing the usual 1/2-BPS circle. The scalar and fermionic couplings depend on two deformation parameters and these operators can be considered as the ABJ(M) counterpart of the DGRT latitudes defined in = 4 SYM. We perform a complete two-loop analysis of their vacuum expectation value, discuss the appearance of framing-like phases and propose a general relation with cohomologically equivalent bosonic operators. We make an all-loop proposal for computing the Bremsstrahlung function associated to the 1/2-BPS cusp in terms of these generalized Wilson loops. When applied to our two-loop result it reproduces the known expression. Finally, we comment on the generalization of this proposal to the bosonic 1/6-BPS case.

Note:

46 pages, 6 figures; references added

Supersymmetric gauge theory
Wilson, ’t Hooft and Polyakov loops
Chern-Simons Theories
Wilson loop: BPS
fermion: coupling
boson: operator
supersymmetry: 4
bremsstrahlung
deformation
cohomology

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