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We show how the modular symmetries that have been found to be consistent with most available scaling data from quantum Hall systems, derive from a rigid family of algebraic curves of the elliptic type. The complicated special functions needed to desc

Externí odkaz: http://arxiv.org/abs/1207.4693

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An RG potential for the quantum Hall effects

Autor: Nissinen, J., Lütken, C. A.

The phenomenological analysis of fully spin-polarized quantum Hall systems, based on holomorphic modular symmetries of the renormalization group (RG) flow, is generalized to more complicated situations where the spin or other "flavors" of charge carr

Externí odkaz: http://arxiv.org/abs/1111.4902

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Experimental probes of emergent symmetries in the quantum Hall system

Autor: Lütken, C. A., Ross, G. G.

Experiments studying renormalization group flows in the quantum Hall system provide significant evidence for the existence of an emergent holomorphic modular symmetry $\Gamma_0(2)$. We briefly review this evidence and show that, for the lowest temper

Externí odkaz: http://arxiv.org/abs/1008.5257

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On the origin of duality in the quantum Hall system

Autor: Lütken, C. A., Ross, G. G.

We discuss the possible origin of the duality observed in the quantum Hall current-voltage characteristics. We clarify the difference between "particle-vortex" (complex modular) duality, which acts on the full transport tensor, and "charge-flux" ("re

Externí odkaz: http://arxiv.org/abs/1008.5128

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Non-linear Yang-Mills instantons from strings are $\pi$-stable D-branes

Autor: Enger, H., Lütken, C. A.

Publikováno v: Nucl.Phys. B695 (2004) 73-83

We show that B-type $\Pi$-stable D-branes do not in general reduce to the (Gieseker-) stable holomorphic vector bundles used in mathematics to construct moduli spaces. We show that solutions of the almost Hermitian Yang--Mills equations for the non-l

Externí odkaz: http://arxiv.org/abs/hep-th/0312254

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Bosonization in Higher Dimensions

Autor: Burgess, C. P., Lütken, C. A., Quevedo, F.

Publikováno v: Phys.Lett.B336:18-24,1994

Using the recently discovered connection between bosonization and duality transformations (hep-th/9401105 and hep-th/9403173), we give an explicit path-integral representation for the bosonization of a massive fermion coupled to a U(1) gauge potentia

Externí odkaz: http://arxiv.org/abs/hep-th/9407078

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