Abstract
We generalize the standard N=2 supersymmetric Kazama-Suzuki coset construction to the N=4 case by requiring the nonlinear (Goddard-Schwimmer) N=4 quasisuperconformal algebra to be realized on cosets. The constraints that we find allow a very simple geometrical interpretation and have the Wolf spaces as their natural solutions. Our results obtained by using component-level superconformal field theory methods are fully consistent with standard results about N=4 supersymmetric two-dimensional nonlinear σ models and N=4 WZWN models on Wolf spaces. We construct the actions for the latter and express the quaternionic structure, appearing in the N=4 coset solution, in terms of the symplectic structure associated with the underlying Freudenthal triple system. Next, we gauge the N=4 QSCA and build a quantum BRST charge for the N=4 string propagating on a Wolf space. Surprisingly, the BRST charge nilpotency conditions rule out the nontrivial Wolf spaces as consistent string backgrounds.
| Original language | English |
|---|---|
| Pages (from-to) | 2278-2293 |
| Number of pages | 16 |
| Journal | Physical Review D |
| Volume | 52 |
| Issue number | 4 |
| DOIs | |
| Publication status | Published - 1995 |
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ASJC Scopus subject areas
- Physics and Astronomy (miscellaneous)
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No N=4 strings on Wolf spaces. / Gates, S. James; Ketov, Sergei V.
In: Physical Review D, Vol. 52, No. 4, 1995, p. 2278-2293.Research output: Contribution to journal › Article
}
TY - JOUR
T1 - No N=4 strings on Wolf spaces
AU - Gates, S. James
AU - Ketov, Sergei V.
PY - 1995
Y1 - 1995
N2 - We generalize the standard N=2 supersymmetric Kazama-Suzuki coset construction to the N=4 case by requiring the nonlinear (Goddard-Schwimmer) N=4 quasisuperconformal algebra to be realized on cosets. The constraints that we find allow a very simple geometrical interpretation and have the Wolf spaces as their natural solutions. Our results obtained by using component-level superconformal field theory methods are fully consistent with standard results about N=4 supersymmetric two-dimensional nonlinear σ models and N=4 WZWN models on Wolf spaces. We construct the actions for the latter and express the quaternionic structure, appearing in the N=4 coset solution, in terms of the symplectic structure associated with the underlying Freudenthal triple system. Next, we gauge the N=4 QSCA and build a quantum BRST charge for the N=4 string propagating on a Wolf space. Surprisingly, the BRST charge nilpotency conditions rule out the nontrivial Wolf spaces as consistent string backgrounds.
AB - We generalize the standard N=2 supersymmetric Kazama-Suzuki coset construction to the N=4 case by requiring the nonlinear (Goddard-Schwimmer) N=4 quasisuperconformal algebra to be realized on cosets. The constraints that we find allow a very simple geometrical interpretation and have the Wolf spaces as their natural solutions. Our results obtained by using component-level superconformal field theory methods are fully consistent with standard results about N=4 supersymmetric two-dimensional nonlinear σ models and N=4 WZWN models on Wolf spaces. We construct the actions for the latter and express the quaternionic structure, appearing in the N=4 coset solution, in terms of the symplectic structure associated with the underlying Freudenthal triple system. Next, we gauge the N=4 QSCA and build a quantum BRST charge for the N=4 string propagating on a Wolf space. Surprisingly, the BRST charge nilpotency conditions rule out the nontrivial Wolf spaces as consistent string backgrounds.
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U2 - 10.1103/PhysRevD.52.2278
DO - 10.1103/PhysRevD.52.2278
M3 - Article
VL - 52
SP - 2278
EP - 2293
JO - Physical review D: Particles and fields
JF - Physical review D: Particles and fields
SN - 1550-7998
IS - 4
ER -