Article

# String winding modes from charge non-conservation in compact Chern-Simons theory

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Physics Letters B (Impact Factor: 4.57). 01/1997; DOI: 10.1016/S0370-2693(96)01692-9 Source: arXiv

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**ABSTRACT:**We show how the spectral flow between the Neveu-Schwarz and Ramond sectors of N = 2 superconformal field theories can be described in three dimensions in terms of the propagation of charged particles coupled to a Chern-Simons gauge theory. Quantum mechanical mixing between the degenerate Chern-Simons vacua interpolates between the different boundary conditions of the two sectors and so provides a dynamical picture for the GSO projection.Nuclear Physics B 01/1997; · 4.33 Impact Factor - [Show abstract] [Hide abstract]

**ABSTRACT:**We consider the possible role that chiral orbifold conformal field theories may play in describing the edge state theories of quantum Hall systems. This is a generalization of work that already exists in the literature, where it has been shown that 1+1 chiral bosons living on a n-dimensional torus, and which couple to a U1 gauge field, give rise to anomalous electric currents, the anomaly being related to the Hall conductivity. The well known duality group associated with such toroidal conformal field theories transforms the edge states and Hall conductivities in a way which makes interesting connections between different theories, e.g. between systems exhibiting the integer and fractional quantum Hall effect. In this paper we try to explore the extension of these constructions to the case where such bosons live on a n-dimensional orbifold. We give a general formalism for discussing the relevant quantities like the Hall conductance and their transformation under the duality groups present in orbifold compactifications. We illustrate these ideas by presenting a detailed analysis of a toy model based on the two-dimensional orbifold. In this model we obtain new classes of filling fractions, which generally correspond to fermionic edge states carrying fractional electric charge. We also consider the relation between orbifold edge theories and Luttinger liquids (LL's), which in the past have provided important insights into the physics of quantum Hall systems.Nuclear Physics B 01/1999; · 4.33 Impact Factor -
##### Article: D-branes in topological membranes

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**ABSTRACT:**It is shown how two-dimensional states corresponding to D-branes arise in orbifolds of topologically massive gauge and gravity theories. Brane vertex operators naturally appear in induced worldsheet actions when the three-dimensional gauge theory is minimally coupled to external charged matter and the orbifold relations are carefully taken into account. Boundary states corresponding to D-branes are given by vacuum wavefunctionals of the gauge theory in the presence of the matter, and their various constraints, such as the Cardy condition, are shown to arise through compatibility relations between the orbifold charges and bulk gauge invariance. We show that with a further conformally-invariant coupling to a dynamical massless scalar field theory in three dimensions, the brane tension is naturally set by the bulk mass scales and arises through dynamical mechanisms. As an auxilliary result, we show how to describe string descendent states in the three-dimensional theory through the construction of gauge-invariant excited wavefunctionals.Nuclear Physics B 08/2003; · 4.33 Impact Factor

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