<font>CP</font><sup>1</sup> MODEL WITH HOPF TERM AND FRACTIONAL SPIN STATISTICS

Hong, Soon-Tae; Lee, Bum-Hoon; Park, Young-Jai

doi:10.1142/s0217732302006242

Cited by 3 publications

(2 citation statements)

References 19 publications

(59 reference statements)

Supporting

Mentioning

Contrasting

Order By: Relevance

“…In this appendix, we briefly review some features of the CP 1 model with a Hopf term [34][35][36]39]). The model is defined in 2+1 spacetime dimensions, with a Lagrangian density given by…”

Section: Sigma Modelmentioning

confidence: 99%

Domain wall moduli in softly-broken SQCD at θ¯=π

Ritz

Shukla

2018

Phys. Rev. D

View full text Add to dashboard Cite

We analyze the moduli space dynamics of domain walls in SUðNÞ QCD atθ ¼ π, by softly breaking N ¼ 1 SQCD with sfermion mixing. In the supersymmetric limit, BPS domain walls between neighboring vacua are known to possess nontranslational flavor moduli that form a CP N−1 sigma model. For the simplest case with gauge group SUð2Þ and N f ¼ 2, we show that this sigma model also exhibits a Hopf term descending from the bulk Wess-Zumino term with a quantized coefficient. On soft-breaking of supersymmetry via sfermion mixing that preserves the flavor symmetry, these walls and their moduli-space dynamics survives whenθ ¼ π so that there are two degenerate vacua.

show abstract

“…In this appendix, we briefly review some features of the CP 1 model with a Hopf term [34][35][36]39]). The model is defined in 2+1 spacetime dimensions, with a Lagrangian density given by…”

Section: Sigma Modelmentioning

confidence: 99%

Domain wall moduli in softly-broken SQCD at θ¯=π

Ritz

Shukla

2018

Phys. Rev. D

View full text Add to dashboard Cite

show abstract

“…( 2) and (4). Following the same algorithm discussed above, we arrive at the first class Hamiltonian with Hopf term [15]…”

mentioning

confidence: 99%

De Rham Cohomology of $CP^{1}$ model with Hopf term

Hong¹

2014

Preprint

Self Cite

View full text Add to dashboard Cite

We investigate the CP 1 model possessing the Hopf term which respects the second class constraints and admits the well defined BRST operator Q. Using the operator Q, we explicitly construct its de Rham cohomology group by deriving the ensuing quotient group via both the collections of all Q-closed and Q-exact ghost number p-forms. Moreover, we study the CP 1 model without the Hopf term to evaluate the ensuing effect of the Hopf term on the cohomology group. We find that the Hopf term effects on the de Rham cohomology originate from the non-compact Hilbert space modified by this Hopf term.

show abstract