nLab Piotr Kucharski

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Selected writings

Introducing the knots-quivers correspondence:

• Piotr Kucharski, Markus Reineke, Marko Stosic, Piotr Sułkowski, Knots-quivers correspondence, Adv. Theor. Math. Phys. 23 7 (2019) 1849-1902 [arXiv:1707.04017, doi:10.4310/ATMP.2019.v23.n7.a4]

• Piotr Kucharski, Markus Reineke, Marko Stosic, Piotr Sułkowski, BPS states, knots and quivers, Phys. Rev. D 96 121902 (2017) [arXiv:1707.02991, doi:10.1103/PhysRevD.96.121902]

Review:

• Piotr Kucharski, Dmitry Noshchenko: Knot-quiver correspondence: a brief review [arXiv:2505.05668]

On relating the quivers appearing in $D=3$, $\mathcal{N}=2$ SYM and $D=4$, $\mathcal{N}=2$ SYM quiver gauge theories, in view of the knots-quivers correspondence:

• Piotr Kucharski, Pietro Longhi, Dmitry Noshchenko, Sunghyuk Park, Piotr Sułkowski: Quivers and BPS states in $3d$ and $4d$ [arXiv:2508.09729]

• Piotr Kucharski: Quivers and BPS states in 3d and 4d, talk at CQTS (Oct 2025) [slides:pdf]

Further discussion:

• Sachin Chauhan, Piotr Kucharski, Dmitry Noshchenko, Ramadevi Pichai, Vivek Kumar Singh, Marko Stošić: Full twists and stability of knots and quivers [arXiv:2508.18417]

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