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The Sigma Model on Complex Projective Superspaces | | Constantin Candu
; Vladimir Mitev
; Thomas Quella
; Hubert Saleur
; Volker Schomerus
; | | Date: |
6 Aug 2009 | | Abstract: | The sigma model on complex projective superspaces CP^{S-1|S} gives rise to a
continuous family of interacting 2D conformal field theories which are
parametrized by the curvature radius R and the theta angle heta. Our main
goal is to determine the spectrum of the model, non-perturbatively as a
function of both parameters. We succeed to do so for all open boundary
conditions preserving the full global symmetry of the model. In string theory
parlor, these correspond to volume filling branes that are equipped with a
monopole line bundle and connection. The paper consists of two parts. In the
first part, we approach the problem within the continuum formulation. Combining
combinatorial arguments with perturbative studies and some simple free field
calculations, we determine a closed formula for the partition function of the
theory. This is then tested numerically in the second part. There we propose a
spin chain regularization of the CP^{S-1|S} model with open boundary conditions
and use it to determine the spectrum at the conformal fixed point. The
numerical results are in remarkable agreement with the continuum analysis. | | Source: | arXiv, 0908.0878 | | Services: | Forum | Review | PDF | Favorites | |
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