nLab Andrea Cappelli

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Selected writings

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

• Andrea Cappelli, Carlo A. Trugenberger, G. R. Zemba: Infinite Symmetry in the Quantum Hall Effect, Nucl. Phys. B 396 (1993) 465-490 [doi:10.1016/0550-3213(93)90660-H, arXiv:hep-th/9206027]

• Andrea Cappelli, Gerald V. Dunne, Carlo A. Trugenberger, G. R. Zemba: Conformal Symmetry and Universal Properties of Quantum Hall States, Nucl. Phys. B 398 (1993) 531-567 [doi:10.1016/0550-3213(93)90603-M, arXiv:hep-th/9211071]

  (including Floreanini-Jackiw edge mode theory)

• Andrea Cappelli, Carlo A. Trugenberger, G. R. Zemba: Classification of Quantum Hall Universality Classes by $W_{1+\infty}$ symmetry, Phys. Rev. Lett. 72 (1994) 1902-1905 [doi:10.1103/PhysRevLett.72.1902, arXiv:hep-th/9310181]

• Andrea Cappelli: $W_\infty$ Symmetry in the Quantum Hall Effect, talk at Geometric and analytic aspects of the Quantum Hall effect (May 2023) [video, pdf]

On description of the quantum Hall effect via noncommutative geometry:

• Andrea Cappelli, Ivan D. Rodriguez: Matrix Effective Theories of the Fractional Quantum Hall effect, J. Phys. A 42 (2009) 304006 [doi:10.1088/1751-8113/42/30/304006, arXiv:0902.0765]

On the early history of string theory:

• Andrea Cappelli, Elena Castellani, Filippo Colomo, Paolo Di Vecchia (eds.), The Birth of String Theory, Cambridge University Press (2012) [doi:10.1017/CBO9780511977725]

On the bulk-edge correspondence in quantum Hall systems:

• Andrea Cappelli, Lorenzo Maffi: Bulk-Boundary Correspondence in the Quantum Hall Effect, J. Phys. A: Math. Theor. 51 (2018) 365401 [doi:10.1088/1751-8121/aad0ab, arXiv:1801.03759]

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