Bookcover of Extended supersymmetry in quantum mechanics and self-dual gauge fields
Booktitle:

Extended supersymmetry in quantum mechanics and self-dual gauge fields

Harmonic superspace approach

LAP LAMBERT Academic Publishing (2012-06-12 )

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ISBN-13:

978-3-659-15581-9

ISBN-10:
3659155810
EAN:
9783659155819
Book language:
English
Blurb/Shorttext:
We study certain new models of supersymmetric quantum mechanics. The explicit form of the corresponding superfield and component actions, as well as of the quantum Hamiltonians and supercharges is given. It is shown that the Hamiltonian H=D*D, where D is flat four-dimensional Dirac operator in an external self-dual gauge background, Abelian or non-Abelian, is supersymmetric with N=4 supersymmetry. A generalization of this Hamiltonian to the motion on a curved conformally flat four-dimensional manifold exists. For an Abelian self-dual background, the corresponding Lagrangian can be derived from certain harmonic superspace expressions. If the Hamiltonian involves a non-Abelian self-dual gauge field, one can construct the Lagrangian formulation of it by introducing auxiliary bosonic variables with Wess-Zumino type action. For a special class of such Lagrangians when the gauge group is SU(2) and the gauge field is expressed in the `t Hooft ansatz form, it is possible to give a superfield description using the harmonic superspace formalism. Independently, a similar system with N=4 supersymmetry in three dimensions also admits the superfield description.
Publishing house:
LAP LAMBERT Academic Publishing
Website:
https://www.lap-publishing.com/
By (author) :
Maxim Konyushikhin
Number of pages:
100
Published on:
2012-06-12
Stock:
Available
Category:
Physics, astronomy
Price:
49.00 €
Keywords:
Supersymmetric Quantum Mechanics, extended supersymmetry, harmonic superspace, self-duality, gauge fields, ADHM, superfields, supercharges

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