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By studying Rozansky-Witten theory with non-compact target spaces we find new connections with knot invariants whose physical interpretation was not known. This opens up several new avenues, which include a new formulation of q-series invariants of 3-manifolds in terms of affine Grassmannians and a generalization of Akutsu-Deguchi-Ohtsuki knot invariants. Sign in if you have an account, or apply for one below As a by-product, we obtain a construction of nite type invariants of 3-manifolds based on symplectic foliations instead of hyperkahler manifolds. Our construction also gives examples of distinct SCFTs which have identical moduli space (Coulomb, Higgs, and mixed branch) geometries. Research article Full text access Rozansky-Witten geometry of Coulomb branches and logarithmic knot invariants. Sergei Gukov, Po-Shen Hsin, Hiraku Nakajima, Sunghyuk Park, Nikita Sopenko. select article Rozansky-Witten geometry of Coulomb branches and logarithmic knot invariants. By studying Rozansky-Witten theory with non-compact target spaces we find new connections with knot invariants whose physical interpretation was not known. In 1996, Rozansky and Witten [84] proposed a novel way of constructing 3-manifold invariants, given a choice of a hyper-Khler manifold X. Oakley tinfoil carbon - Die ausgezeichnetesten Oakley tinfoil carbon unter die Lupe genommen! Tayebi, A., Najafi, B. October 31, 2021. Problems on invariants of knots and 3manifolds. 1 Oct 2021 | Journal of Geometry and Physics, Vol. To each knot in the link one associates a holomorphic bundle over a holomorphic symplectic manifold X. Zuevsky, A. October 31, 2021. S Gukov, PS Hsin, H Nakajima, S Park, D Pei, N Sopenko. Rozansky-Witten geometry of Coulomb branches and logarithmic knot invariants. 168, Issue. Rozansky-Witten geometry of Coulomb branches and logarithmic knot invariants. Home; People; Groups; Recent; Samples; JavaScript; Widgets; Gukov, Sergei G (orcid 0000-0002-9486-1762). Corpus ID: 218596087. 168 A set of novel topological and geometric results are developed which promise to be useful for the study and classification of Coulomb branch geometries at all ranks. Link invariants, for 3-manifolds, are defined in the context of the Rozansky-Witten theory. Introduction. S Gukov, PS Hsin, D Pei. On Rozansky-Witten theory: Sergei Gukov, Po-Shen Hsin, Hiraku Nakajima, Sunghyuk Park, Du Pei, Nikita Sopenko, Rozansky-Witten geometry of Coulomb branches and logarithmic knot invariants (arXiv:2005.05347) task dataset model metric name metric value global rank remove We show that to each such symplectic Lie pair are associated Rozansky-Witten-type invariants of three-manifolds and knots, given respectively by weight systems on trivalent and chord diagrams. (2021) Cobordism Invariants from BPS q-Series Annales Henri Poincar; Vol. Article 104311. Not signed in. Download PDF. The invariants are evaluated for b1(M) > 1 and X Hyper-Kahler. The Internet Archive offers over 20,000,000 freely downloadable books and texts. The Internet Archive offers over 20,000,000 freely downloadable books and texts. Rozansky and Witten proposed in 1996 a family of new three-dimensional topological quantum field theories, indexed by compact (or asymptotically flat) hyperkaehler manifolds. Gukov, Sergei; Park, Sunghyuk et al. This paper is an extended version of my letters to V. Ginzburg and to E. Witten (January 1997). By studying Rozansky-Witten theory with non-compact target spaces we find new connections with knot invariants whose physical interpretation was not known. Rozansky-Witten geometry of Coulomb branches and logarithmic knot invariants 14 0 0.0 ( 0 ) Source: Po-Shen Hsin Berry Phase in Quantum Field Theory: Diabolical Points and Boundary Phenomena. These may be thought of as invariants of hyperkaehler manifolds, so the Rozansky-Witten geometry of Coulomb branches and logarithmic knot invariants @article{Gukov2020RozanskyWittenGO, title={Rozansky-Witten geometry of Coulomb branches and logarithmic knot invariants}, author={S. Gukov and Po-Shen Hsin and H. Nakajima and Sung-ho Park and Du Pei and N. Sopenko}, journal={arXiv: High Energy Physics - Theory}, This implies, in particular, that their Coulomb branch coordinate rings are not freely generated. Recently M. Kapranov, stimulated by these letters, found a dierent approach to RW invariants. 22; No. 2020 | Preprint ARXIV: 2009.11874 Show more detail Rozansky-Witten geometry of Coulomb branches and logarithmic knot invariants. Journal of Geometry and Physics 168, 104311, 2021. 29 October 2004 | Communications in Mathematical Physics, Vol. On Rozansky-Witten theory: Sergei Gukov, Po-Shen Hsin, Hiraku Nakajima, Sunghyuk Park, Du Pei, Nikita Sopenko, Rozansky-Witten geometry of Coulomb branches and logarithmic knot invariants (arXiv:2005.05347) Rozansky-Witten geometry of Coulomb branches and logarithmic knot invariants. By studying Rozansky-Witten theory with non-compact target spaces we find new connections with knot invariants whose physical interpretation was not known. Unsere Bestenliste Jul/2022 Umfangreicher Test Die besten Oakley tinfoil carbon Aktuelle Angebote : Smtliche Testsieger - JETZT direkt lesen. Want to take part in these discussions? As Combined from CaltechAUTHORS. 2020-05-11 | Preprint ARXIV: arXiv:2005.05347v1 Show more detail. Journal of Geometry and Physics, Vol. We construct 4d superconformal field theories (SCFTs) whose Coulomb branches have singular complex structures. Introduction. The simplest cohomological invariants for vertex algebras. This opens up several new avenues, which include a new formulation of Gukov, Sergei, Hsin, Po-Shen and 4 more October 31, 2021. As pointed out in its subsequent mathematical formulations [59], [63], the space X only needs to be a holomorphic symplectic manifold.
On homogeneous Landsberg surfaces. To obtain invariants of 403, No. Rozansky-Witten geometry of Coulomb branches and logarithmic knot invariants Sergei Gukov, Po-Shen Hsin, Hiraku Nakajima, Sunghyuk Park and Du Pei et al. 2005. In this talk, I will review the necessary notions to state the result and explain the construction of the weight systems. There is also a collection of 2.3 million modern eBooks that may be borrowed by anyone with a free archive.org account. Sergei Gukov, Po-Shen Hsin, Hiraku Nakajima, Sunghyuk Park, Du Pei, Nikita Sopenko, Rozansky-Witten geometry of Coulomb branches and logarithmic knot invariants (arXiv:2005.05347) Jian Qiu, Rozansky-Witten theory, Localised then Tilted (arXiv:2011.05375) 2020 | Preprint ARXIV: 2005.05347 Show more detail. 28: 2021: Generalized global symmetries of T [M] theories. 252, No. On Rozansky-Witten theory: Sergei Gukov, Po-Shen Hsin, Hiraku Nakajima, Sunghyuk Park, Du Pei, Nikita Sopenko, Rozansky-Witten geometry of Coulomb branches and logarithmic knot invariants (arXiv:2005.05347) 12; https: Po-Shen et al. Title: Rozansky-Witten geometry of Coulomb branches and logarithmic knot invariants Authors: Sergei Gukov , Po-Shen Hsin , Hiraku Nakajima , Sunghyuk Park , Du Pei , Nikita Sopenko (Submitted on 11 May 2020) As a byproduct they proved that hyperkaehler manifolds also give rise to Vassiliev weight systems. , p. 104311. p. 377. By studying Rozansky-Witten theory with non-compact target spaces we find new connections with knot invariants whose physical interpretation was not known. 1-3 Edward Witten. Rozansky-Witten geometry of Coulomb branches and logarithmic knot invariants. Anton Kapustin and Lev Rozansky. Rozansky-Witten geometry of Coulomb branches and logarithmic knot invariants Hsin, Po-Shen, Nakajima, Hiraku and 3 more Energetic decomposition of distributed systems with moving material domains: The port-Hamiltonian model of fluid-structure interaction (2021) Rozansky-Witten geometry of Coulomb branches and logarithmic knot invariants Journal of Sergei Gukov, Po-Shen Hsin, Hiraku Nakajima, Sunghyuk Park and Du Pei et al. In 1996, Rozansky and Witten [ ] proposed a novel way of constructing 3-manifold invariants, given a choice of a hyper-Khler manifold . Cobordism invariants from BPS q-series. Rozansky-Witten geometry of Coulomb branches and logarithmic knot invariants. Rozansky-Witten geometry of Coulomb branches and logarithmic knot invariants. 1 Aug 1993 | Nuclear Physics B, Vol. 1.