Zobrazeno 1 - 10
of 134
pro vyhledávání: '"Sulkowski, Piotr"'
Pseudo-entropy and SVD entropy are generalizations of the entanglement entropy that involve post-selection. In this work we analyze their properties as measures on the spaces of quantum states and argue that their excess provides useful characterizat
Externí odkaz:
http://arxiv.org/abs/2408.06791
Autor:
Stošić, Marko, Sułkowski, Piotr
We relate invariants of torus knots to the counts of a class of lattice paths, which we call generalized Schr\"oder paths. We determine generating functions of such paths, located in a region determined by a type of a torus knot under consideration,
Externí odkaz:
http://arxiv.org/abs/2405.10161
We analyse the structure of equivalence classes of symmetric quivers whose generating series are equal. We consider such classes constructed using the basic operation of unlinking, which increases a size of a quiver. The existence and features of suc
Externí odkaz:
http://arxiv.org/abs/2312.14905
Autor:
Cheng, Shi, Sułkowski, Piotr
Recently, a large class of 3d $\mathcal{N} = 2$ 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:
http://arxiv.org/abs/2302.13371
Autor:
Jankowski, Jakub, Kucharski, Piotr, Larraguível, Hélder, Noshchenko, Dmitry, Sułkowski, Piotr
We show that motivic Donaldson-Thomas invariants of a~symmetric quiver $Q$, captured by the generating function $P_Q$, can be encoded in another quiver $Q^{(\infty)}$ of (almost always) infinite size, whose only arrows are loops, and whose generating
Externí odkaz:
http://arxiv.org/abs/2212.04379
Publikováno v:
SciPost Phys. 13, 069 (2022)
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
Externí odkaz:
http://arxiv.org/abs/2206.14763
Autor:
Ekholm, Tobias, Gruen, Angus, Gukov, Sergei, Kucharski, Piotr, Park, Sunghyuk, Stošić, Marko, Sułkowski, Piotr
Publikováno v:
J. Geom. Phys. 177 (2022), 104520
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:
http://arxiv.org/abs/2110.13768
Autor:
Jankowski, Jakub, Kucharski, Piotr, Larraguível, Hélder, Noshchenko, Dmitry, Sułkowski, Piotr
Publikováno v:
Physical Review D,104 (2021), 8
The knots-quivers correspondence states that various characteristics of a knot are encoded in the corresponding quiver and the moduli space of its representations. However, this correspondence is not a bijection: more than one quiver may be assigned
Externí odkaz:
http://arxiv.org/abs/2105.11806
Autor:
Sułkowski, Piotr
I briefly review several important formal theory developments in quantum field theory and string theory that were reported at ICHEP conferences in past decades, and explain how they underlie a new research area referred to as physical or quantum math
Externí odkaz:
http://arxiv.org/abs/2104.03350
Autor:
Cheng, Shi, Sułkowski, Piotr
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
Externí odkaz:
http://arxiv.org/abs/2104.00713