TY - JOUR
T1 - Bianchi type-V spinning particle on S 2
AU - Galajinsky, Anton
PY - 2020/3/1
Y1 - 2020/3/1
N2 - Integrable spinning extension of a free particle on S2 is constructed in which spin degrees of freedom are represented by a 3-vector obeying the Bianchi type-V algebra. Generalizations involving a scalar potential giving rise to two quadratic constants of the motion, or external field of the Dirac monopole, or the motion on the group manifold of SU(2) are built. A link to the model of a relativistic spinning particle propagating on the near horizon 7d Myers-Perry black hole background is considered. Implications of the construction in this work for the D(2, 1; α) superconformal mechanics are discussed.
AB - Integrable spinning extension of a free particle on S2 is constructed in which spin degrees of freedom are represented by a 3-vector obeying the Bianchi type-V algebra. Generalizations involving a scalar potential giving rise to two quadratic constants of the motion, or external field of the Dirac monopole, or the motion on the group manifold of SU(2) are built. A link to the model of a relativistic spinning particle propagating on the near horizon 7d Myers-Perry black hole background is considered. Implications of the construction in this work for the D(2, 1; α) superconformal mechanics are discussed.
KW - Black Holes
KW - Extended Supersymmetry
KW - Integrable Field Theories
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U2 - 10.1007/JHEP03(2020)143
DO - 10.1007/JHEP03(2020)143
M3 - Article
AN - SCOPUS:85082615410
VL - 2020
JO - Journal of High Energy Physics
JF - Journal of High Energy Physics
SN - 1126-6708
IS - 3
M1 - 143
ER -