94 research outputs found
BPS states in the Omega-background and torus knots
We clarify some issues concerning the central charges saturated by the
extended objects in the SUSY gauge theory in the
-background. The configuration involving the monopole localized at the
domain wall is considered in some details. At the rational ratio
the trajectory of the monopole
provides the torus knot in the squashed three-sphere. Using the
relation between the integrable systems of Calogero type at the rational
couplings and the torus knots we interpret this configuration in terms of the
auxiliary quiver theory or theory with nontrivial boundary
conditions. This realization can be considered as the AGT-like representation
of the torus knot invariants.Comment: 39 pages, 6 figure
Threshold amplitudes in field theories and integrable systems
We discuss the threshold tree amplitudes in diverse nonintegrable quantum
field theories in the framework of integrability. The amplitudes are related to
some Baker functions defined on the auxiliary spectral curves and the
nullification phenomena are shown to allow a topological interpretation.Comment: 8 pages,Latex, ps is available at
http://venus.itep.ru/preprints/1995/95061.ps.g
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