19,803 research outputs found
N=2 supersymmetric gauge theories and quantum integrable systems
We study N=2 supersymmetric gauge theories on the product of a two-sphere and
a cylinder. We show that the low-energy dynamics of a BPS sector of such a
theory is described by a quantum integrable system, with the Planck constant
set by the inverse of the radius of the sphere. If the sphere is replaced with
a hemisphere, then our system reduces to an integrable system of the type
studied by Nekrasov and Shatashvili. In this case we establish a correspondence
between the effective prepotential of the gauge theory and the Yang-Yang
function of the integrable system.Comment: 24 pages. v2: references added; v3: minor changes, published versio
Quantum phase transitional patterns in the SD-pair shell model
Patterns of shape-phase transition in the proton-neutron coupled systems are
studied within the -pair shell model. The results show that some
transitional patterns in the -pair shell model are similar to the
, transitions with signatures of the critical point
symmetry of the interacting boson model.Comment: 13 pages, 7 figure
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