New boundary monodromy matrices for classical sigma models

Gombor, Tamás

doi:10.1016/j.nuclphysb.2020.114949

New boundary monodromy matrices for classical sigma models

Tamás Gombor
(
- Wigner RCP, Budapest and
- Eotvos U.
)

May 8, 2018

36 pages

Published in:

Nucl.Phys.B 953 (2020) 114949

Published: Apr, 2020

e-Print:

1805.03034 [hep-th]

DOI:

10.1016/j.nuclphysb.2020.114949

View in:

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Abstract: (Elsevier)

The 2d principal models without boundaries have G×G symmetry. The already known integrable boundaries have either H×H or GD symmetries, where H is such a subgroup of G for which G/H is a symmetric space while GD is the diagonal subgroup of G×G . These boundary conditions have a common feature: they do not contain free parameters. We have found new integrable boundary conditions for which the remaining symmetry groups are either G×H or H×G and they contain one free parameter. The related boundary monodromy matrices are also described.

Note:

36 pages, the Poisson structure is developed

monodromy
sigma model: O(N)
boundary condition
integrability
pair: Lax
chiral
charge: conservation law
Poisson

References(22)

Figures(0)

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