Built on

K. G. Wilson, Confinement of Quarks , Phys. Rev. D10
1974
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G. ’t Hooft, On the Phase Transition Towards Permanent Quark Confinement , Nucl. Phys. B138
1978
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Teubner, Leipzig, 1984
E. Witten, Holomorphic Morse inequalities , in Algebraic and differential topology—global differential geometry , vol. 70 of Teubner-Texte Math. , pp. 318–333 · 1984
Earlier work this paper cites.
C. Vafa, String Vacua and Orbifoldized L-G Models , Mod. Phys. Lett. A4
1989
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E. Witten, Phases of N=2 theories in two-dimensions , Nucl. Phys. B403
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Amer. Math. Soc., Providence, RI, 2006
Y. Ruan, The cohomology ring of crepant resolutions of orbifolds , in Gromov-Witten theory of spin curves and orbifolds , vol. 403 of Contemp. Math. , pp. 117–126 · 2006
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A. Kapustin, B. Willett and I. Yaakov, Exact results for supersymmetric abelian vortex loops in 2+1 dimensions , JHEP 06
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N. Doroud, J. Gomis, B. Le Floch and S. Lee, Exact Results in D=2 Supersymmetric Gauge Theories , JHEP 05
Original
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2017

Supersymmetric vortex defects in two dimensions

Hosomichi, Kazuo, Lee, Sungjay, Okuda, Takuya

Understand

We study codimension-two BPS defects in 2d N=(2,2) supersymmetric gauge theories, focusing especially on those characterized by vortex-like singularities in the dynamical or non-dynamical gauge field.

We classify possible SUSY-preserving boundary conditions on charged matter fields around the vortex defects, and derive a formula for defect correlators on the squashed sphere.
We also prove an equivalence relation between vortex defects and 0d-2d coupled systems.
Our defect correlators are shown to be consistent with the mirror symmetry duality between Abelian gauged linear sigma models and Landau-Ginzburg models, as well as that between the minimal model and its orbifold.

Built on

K. G. Wilson, Confinement of Quarks , Phys. Rev. D10
1974
Earlier work this paper cites.
G. ’t Hooft, On the Phase Transition Towards Permanent Quark Confinement , Nucl. Phys. B138
1978
Earlier work this paper cites.
Teubner, Leipzig, 1984
E. Witten, Holomorphic Morse inequalities , in Algebraic and differential topology—global differential geometry , vol. 70 of Teubner-Texte Math. , pp. 318–333 · 1984
Earlier work this paper cites.
C. Vafa, String Vacua and Orbifoldized L-G Models , Mod. Phys. Lett. A4
1989
Earlier work this paper cites.
E. Witten, Phases of N=2 theories in two-dimensions , Nucl. Phys. B403
1993
Earlier work this paper cites.
A. B. Givental, Homological geometry. I. Projective hypersurfaces , Selecta Math. (N.S.) 1
1995
Earlier work this paper cites.
D. R. Morrison and M. R. Plesser, Summing the instantons: Quantum cohomology and mirror symmetry in toric varieties , Nucl. Phys. B440
1995
Earlier work this paper cites.
American Mathematical Society, Providence, RI, 2000
D. A. Cox and S. Katz, Mirror symmetry and algebraic geometry · 2000
Earlier work this paper cites.
Amer. Math. Soc., Providence, RI, 2006
Y. Ruan, The cohomology ring of crepant resolutions of orbifolds , in Gromov-Witten theory of spin curves and orbifolds , vol. 403 of Contemp. Math. , pp. 117–126 · 2006
Earlier work this paper cites.
D. Gaiotto, L. Rastelli and S. S. Razamat, Bootstrapping the superconformal index with surface defects , JHEP 01
Original
2013
Earlier work this paper cites.
A. Kapustin, B. Willett and I. Yaakov, Exact results for supersymmetric abelian vortex loops in 2+1 dimensions , JHEP 06
Original
2013
Earlier work this paper cites.
N. Doroud, J. Gomis, B. Le Floch and S. Lee, Exact Results in D=2 Supersymmetric Gauge Theories , JHEP 05
Original
2013
Earlier work this paper cites.