DUALITY IN SUPERSYMMETRIC YANG–MILLS AND THE QUANTUM HALL EFFECT
Keyword(s):
The evidence for the parallel rôles played by the modular group in [Formula: see text] supersymmetric Yang–Mills in (3+1) dimensions and the quantum Hall effect in (2+1) dimensions is reviewed. In both cases a subgroup of the full modular group acts as a map between different low energy phases of the theory, parametrised by a complex parameter in the upper-half-complex plane whose real part is a topological parameter and whose imaginary part is the coupling associated the kinetic term of the effective U(1) gauge theory. In the case of the quantum Hall effect experimental evidence in favour of the modular action is also reviewed.
2006 ◽
Vol 21
(23n24)
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pp. 4807-4821
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Keyword(s):
1993 ◽
Vol 70
(8)
◽
pp. 1163-1166
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1990 ◽
Vol 131
(2)
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pp. 283-305
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1993 ◽
Vol 70
(19)
◽
pp. 2944-2947
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1999 ◽
Vol 32
(21)
◽
pp. L243-L248
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2001 ◽
Vol 119
(12)
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pp. 641-645
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Keyword(s):