nLab Dimitra Karabali

Dimitra Karabali

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Selected writings

On $W_\infty$-algebra symmetry in fractional quantum Hall systems:

• Satoshi Iso, Dimitra Karabali, B. Sakita: Fermions in the lowest Landau level. Bosonization, $W_\infty$ algebra, droplets, chiral bosons, Physics Letters B 296 1–2 (1992) 143-150 [doi:10.1016/0370-2693(92)90816-M]

and in relation to edge modes in the generality of higher dimensional integer quantum Hall systems and relating to area-preserving diffeomorphisms regularized by $\mathfrak{u}(\infty)$:

• Dimitra Karabali, V. Parameswaran Nair: The effective action for edge states in higher dimensional quantum Hall systems, Nucl. Phys. B 679 (2004) 427-446 [doi:10.1016/j.nuclphysb.2003.11.020, arXiv:hep-th/0307281]

On D=3 Yang-Mills theory including claim of (non-constructive) derivation of the Yang-Mills mass gap in 3D:

• Dimitra Karabali, V. Parameswaran Nair: On the origin of the mass gap for non-Abelian gauge theories in (2+1) dimensions, Phys.Lett. B 379 (1996) 141-147 [doi:10.1016/0370-2693(96)00422-4, arXiv:hep-th/9602155]

• Dimitra Karabali, Chanju Kim, V. Parameswaran Nair: Planar Yang-Mills theory: Hamiltonian, regulators and mass gap, Nucl. Phys. B 524 (1998) 661-694 [doi:10.1016/S0550-3213(98)00309-5, arXiv:hep-th/9705087]

• Dimitra Karabali, Chanju Kim, V. Parameswaran Nair: On the vacuum wavefunction and string tension of Yang-Mills theories in (2+1) dimensions, Phys. Lett. B 434 (1998) 103-109 [doi:10.1016/S0370-2693(98)00751-5, ]arXiv:hep-th/9804132]

On 3D Yang-Mills-Chern-Simons theory:

• Dimitra Karabali, Chanju Kim, V. P. Nair: Gauge invariant variables and the Yang-Mills-Chern-Simons theory, Nucl. Phys. B 566 (2000) 331-347 [arXiv:hep-th/9907078, doi:10.1016/S0550-3213(99)00701-4]

On higher-dimension fractional quantum Hall systems in relation to W-infinity algebra:

• Dimitra Karabali, V. P. Nair: Higher dimensional quantum Hall effect and the analog of $W_\infty$-algebra [arXiv:2606.28219]

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