Zobrazeno 1 - 10
of 69
pro vyhledávání: '"Piotr Sułkowski"'
Autor:
Shi Cheng, Piotr Sułkowski
Publikováno v:
Journal of High Energy Physics, Vol 2023, Iss 8, Pp 1-69 (2023)
Abstract Recently, a large class of 3d 𝒩 = 2 gauge theories with mixed Chern-Simons levels, corresponding to plumbing 3-manifolds, has been identified. In this paper we generalize these theories by including in their content chiral multiples, and
Externí odkaz:
https://doaj.org/article/ccb71c1e8be54b8da914e035613a5c43
Publikováno v:
Journal of High Energy Physics, Vol 2020, Iss 12, Pp 1-38 (2020)
Abstract Alexander polynomial arises in the leading term of a semi-classical Melvin-Morton-Rozansky expansion of colored knot polynomials. In this work, following the opposite direction, we propose how to reconstruct colored HOMFLY-PT polynomials, su
Externí odkaz:
https://doaj.org/article/a14e48832a7c424487a2bf07778465b0
Publikováno v:
Journal of High Energy Physics, Vol 2020, Iss 7, Pp 1-52 (2020)
Abstract We consider a large class of q-series that have the structure of Nahm sums, or equivalently motivic generating series for quivers. First, we initiate a systematic analysis and classification of classical and quantum A-polynomials associated
Externí odkaz:
https://doaj.org/article/6cd316bafa924552b623c167fb06246d
Autor:
Miłosz Panfil, Piotr Sułkowski
Publikováno v:
Journal of High Energy Physics, Vol 2019, Iss 1, Pp 1-45 (2019)
Abstract We find a direct relation between quiver representation theory and open topological string theory on a class of toric Calabi-Yau manifolds without compact four-cycles, also referred to as strip geometries. We show that various quantities tha
Externí odkaz:
https://doaj.org/article/ac1a8d831ac546fcb2bf69a9d6456c94
Autor:
Piotr Sułkowski
Publikováno v:
Advances in High Energy Physics, Vol 2011 (2011)
We review free fermion, melting crystal, and matrix model representations of wall-crossing phenomena on local, toric Calabi-Yau manifolds. We consider both unrefined and refined BPS counting of closed BPS states involving D2- and D0-branes bound to a
Externí odkaz:
https://doaj.org/article/d7f4594344a14fedb1e0e0db02aa54ff
Publikováno v:
SciPost Physics. 13
In this note we provide proofs of various expressions for expectation values of symmetric polynomials in $\beta$-deformed eigenvalue models with quadratic, linear, and logarithmic potentials. The relations we derive are also referred to as superinteg
Autor:
Shi Cheng, Piotr Sułkowski
Publikováno v:
INSPIRE-HEP
Physical Review
Physical Review
In this work we verify consistency of refined topological string theory from several perspectives. First, we advance the method of computing refined open amplitudes by means of geometric transitions. Based on such computations we show that refined op
Autor:
Tobias Ekholm, Angus Gruen, Sergei Gukov, Piotr Kucharski, Sunghyuk Park, Marko Stošić, Piotr Sułkowski
Publikováno v:
J. Geom. Phys.
We generalize the $F_K$ invariant, i.e. $\widehat{Z}$ for the complement of a knot $K$ in the 3-sphere, the knots-quivers correspondence, and $A$-polynomials of knots, and find several interconnections between them. We associate an $F_K$ invariant to
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::a9ebb39038602a26c21d0404787c4295
http://arxiv.org/abs/2110.13768
http://arxiv.org/abs/2110.13768
We introduce natural language processing into the study of knot theory, as made natural by the braid word representation of knots. We study the UNKNOT problem of determining whether or not a given knot is the unknot. After describing an algorithm to
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::b02fd5050f77daf2648cd3ea1ce2509a
https://resolver.caltech.edu/CaltechAUTHORS:20201111-131628016
https://resolver.caltech.edu/CaltechAUTHORS:20201111-131628016
Autor:
Piotr Sułkowski, Eric J. Rawdon, Pawel Rubach, Kenneth C. Millett, Joanna I. Sulkowska, Andrzej Stasiak, Julien Dorier, Dimos Goundaroulis, Pawel Dabrowski-Tumanski
Publikováno v:
Nucleic Acids Research
Nucleic acids research, vol. 47, no. D1, pp. D367-D375
Nucleic acids research, vol 47, iss D1
Nucleic acids research, vol. 47, no. D1, pp. D367-D375
Nucleic acids research, vol 47, iss D1
The KnotProt 2.0 database (the updated version of the KnotProt database) collects information about proteins which form knots and other entangled structures. New features in KnotProt 2.0 include the characterization of both probabilistic and determin