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| CHIRAL RING OF Sp(N) AND SO(N) SUPERSYMMETRIC GAUGE THEORY IN FOUR DIMENSIONS |
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Citation： |
E. WITTEN.CHIRAL RING OF Sp(N) AND SO(N) SUPERSYMMETRIC GAUGE THEORY IN FOUR DIMENSIONS[J].Chinese Annals of Mathematics B,2003,24(4):403~414 |
| Page view： 1348
Net amount： 1067 |
Authors： |
E. WITTEN; |
Foundation： |
Project supported by NSF Grant PHY-0070928. |
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| Abstract： |
The chiral ring of classical supersymmetric Yang-Mills theory with
gauge group Sp($N$) or SO($N$) is computed, extending previous
work (of Cachazo, Douglas, Seiberg, and the author) for SU($N$).
The result is that, as has been conjectured, the ring is generated
by the usual glueball superfield $S\sim \text{Tr}\,W_\alpha
W^\alpha$, with the relation $S^h=0$, $h$ being the dual Coxeter
number. Though this proposition has important implications for the
behavior of the quantum theory, the statement and (for the most
part) the proofs amount to assertions about Lie groups with no
direct reference to gauge theory. |
Keywords： |
Chiral ring, Gauge group, Lie group, Supersymmetric gauge theory |
Classification： |
22E |
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