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In this course, we will discuss dualities in 2+1 dimensions.
1902
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S. R. Coleman, The Quantum Sine-Gordon Equation as the Massive Thirring Model , Phys. Rev. D11
1974
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S.-S. Chern and J. Simons, Characteristic Forms and Geometric Invariants , Annals of Mathematics 99
1974
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S. Mandelstam, Soliton Operators for the Quantized Sine-Gordon Equation , Phys. Rev. D11
1975
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M. F. Atiyah, V. K. Patodi and I. M. Singer, Spectral asymmetry and Riemannian Geometry 1 , Math. Proc. Cambridge Phil. Soc. 77
1975
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T. T. Wu and C. N. Yang, Dirac Monopole Without Strings: Monopole Harmonics , Nucl. Phys. B107
1976
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M. E. Peskin, Mandelstam ’t Hooft Duality in Abelian Lattice Models , Annals Phys. 113
1978
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C. Dasgupta and B. I. Halperin, Phase Transition in a Lattice Model of Superconductivity , Phys. Rev. Lett. 47
1981
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A. N. Redlich, Parity Violation and Gauge Noninvariance of the Effective Gauge Field Action in Three-Dimensions , Phys. Rev. D29
1983
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A. M. Polyakov and P. B. Wiegmann, Theory of Nonabelian Goldstone Bosons , Phys. Lett. B131
1983
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E. Witten, Nonabelian Bosonization in Two-Dimensions , Commun. Math. Phys. 92
1984
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C. Vafa and E. Witten, Parity Conservation in QCD , Phys. Rev. Lett. 53
1984
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C. Vafa and E. Witten, Eigenvalue Inequalities for Fermions in Gauge Theories , Commun. Math. Phys. 95
1984
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C. Vafa and E. Witten, Restrictions on Symmetry Breaking in Vector-Like Gauge Theories , Nucl. Phys. B234
1984
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T. Dray, The Relationship Between Monopole Harmonics and Spin Weighted Spherical Harmonics , J. Math. Phys. 26
1985
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L. Alvarez-Gaumé, S. D. Pietra and G. Moore, Anomalies and odd dimensions , Annals of Physics 163
1985
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A. M. Polyakov, Fermi-Bose Transmutations Induced by Gauge Fields , Mod. Phys. Lett. A3
1988
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E. Witten, Quantum Field Theory and the Jones Polynomial , Commun. Math. Phys. 121
1988
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T. Appelquist, D. Nash and L. C. R. Wijewardhana, Critical Behavior in (2+1)-Dimensional QED , Phys. Rev. Lett. 60
1988
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R. Jackiw and S.-Y. Pi, Classical and quantal nonrelativistic Chern-Simons theory , Phys. Rev. D 42
1990
Earlier work this paper cites.
T. Appelquist and D. Nash, Critical Behavior in (2+1)-dimensional QCD , Phys. Rev. Lett. 64
1990
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A. Lerda, Quantum Mechanics of Particles with Fractional Statistics , Springer (1992)
1992
Earlier work this paper cites.
M. Blau and G. Thompson, Derivation of the Verlinde formula from Chern-Simons theory and the G/G model , Nucl. Phys. B408
1993
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K. A. Intriligator and N. Seiberg, Mirror symmetry in three-dimensional gauge theories , Phys. Lett. B387
1996
Earlier work this paper cites.
P. Di Francesco, P. Mathieu and D. Senechal, Conformal Field Theory , Graduate Texts in Contemporary Physics, Springer-Verlag, New York (1997)
1997
Earlier work this paper cites.
G. Dunne, Aspects of chern-simons theory , Topological Aspects of Low Dimensional Systems , no. i (1999)
1999
Cited alongside, same era.
E. Witten, Supersymmetric index of three-dimensional gauge theory pp. 156–184 (1999), hep-th/9903005
1999
Cited alongside, same era.
D. Tong, Dynamics of N=2 supersymmetric Chern-Simons theories , JHEP 07
2000
Cited alongside, same era.
S. K. Donaldson, M. Furuta and D. Kotschick, Floer Homology Groups in Yang-Mills Theory , Cambridge Tracts in Mathematics, Cambridge University Press (2002)
2002
Cited alongside, same era.
M. Nakahara, Geometry, topology and physics , Taylor & Francis (2003)
2003
Cited alongside, same era.
E. Witten, SL(2,Z) action on three-dimensional conformal field theories with Abelian symmetry pp. 1173–1200 (2003), hep-th/0307041
C. Wang and T. Senthil, Composite fermi liquids in the lowest Landau level , Phys. Rev. B94
2016
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2016
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O. Aharony, Baryons, monopoles and dualities in Chern-Simons-matter theories , JHEP 02
2016
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Đ. Radičević, D. Tong and C. Turner, Non-Abelian 3d Bosonization and Quantum Hall States , JHEP 12
2016
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Đ. Radičević, Disorder Operators in Chern-Simons-Fermion Theories , JHEP 03
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2003
Cited alongside, same era.
D. S. Freed, Pions and Generalized Cohomology , J. Diff. Geom. 80
2008
Cited alongside, same era.
2009
Cited alongside, same era.
2013
Cited alongside, same era.
2013
Cited alongside, same era.
T. Senthil, (Effective) Field Theory and Emergence in Condensed Matter (Talk) (2014), URL http://web.mit.edu/~senthil/www/bu0514.pdf
2014
Cited alongside, same era.
2015
Cited alongside, same era.
2016
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2016
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2017
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Y. Q. Qin, Y.-Y. He, Y.-Z. You, Z.-Y. Lu, A. Sen, A. W. Sandvik, C. Xu and Z. Y. Meng, Duality between the Deconfined Quantum-Critical Point and the Bosonic Topological Transition , Phys. Rev. X 7
2017
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A. Karch, B. Robinson and D. Tong, More Abelian Dualities in 2+1 Dimensions , JHEP 01
2017
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2017
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K. Jensen and A. Karch, Bosonizing three-dimensional quiver gauge theories , JHEP 11
2017
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2017
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D. Tong, Gauge Theory (Lecture Notes) (2018), URL www.damtp.cam.ac.uk/user/tong/gaugetheory.html
2018
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2018
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2018
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2018
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K. Aitken, A. Karch and B. Robinson, Deconstructing S-Duality , SciPost Phys. 4
2018
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F. Benini, Three-dimensional dualities with bosons and fermions , JHEP 02
2018
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Z. Komargodski and N. Seiberg, A symmetry breaking scenario for QCD 3
2018
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K. Jensen, A master bosonization duality , JHEP 01
2018
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J. Gomis, Z. Komargodski and N. Seiberg, Phases Of Adjoint QCD 3 And Dualities , SciPost Phys. 5
2018
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2018
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D. Gaiotto, Z. Komargodski and N. Seiberg, Time-reversal breaking in QCD 4
2018
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A. Karch, D. Tong and C. Turner, Mirror Symmetry and Bosonization in 2d and 3d (2018), 1805.00941v1
2018
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