Zobrazeno 1 - 10
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pro vyhledávání: '"Zucchini, Roberto"'
Autor:
Zucchini, Roberto
In this paper, a quantum computational framework for algebraic topology based on simplicial set theory is presented. This extends previous work, which was limited to simplicial complexes and aimed mostly to topological data analysis. The proposed set
Externí odkaz:
http://arxiv.org/abs/2309.11304
Autor:
Zucchini, Roberto
This is the second of a series of two papers devoted to the partition function realization of Wilson surfaces in strict higher gauge theory. A higher 2--dimensional counterpart of the topological coadjoint orbit quantum mechanical model computing Wil
Externí odkaz:
http://arxiv.org/abs/2205.12321
Autor:
Zucchini, Roberto
This is the first of a series of two papers devoted to the partition function realization of Wilson surfaces in strict higher gauge theory. A higher version of the Kirillov-Kostant-Souriau theory of coadjoint orbits is presented based on the derived
Externí odkaz:
http://arxiv.org/abs/2205.12320
Autor:
Zucchini, Roberto
We present and study a 4d Chern-Simons (CS) model whose gauge symmetry is encoded in a balanced Lie group crossed module. Using the derived formal set-up recently found, the model can be formulated in a way that in many respects closely parallels tha
Externí odkaz:
http://arxiv.org/abs/2101.10646
Autor:
Zucchini, Roberto
The geometry of the total space of a principal bundle with regard to the action of the bundle's structure group is elegantly described by the bundle's operation, a collection of derivations consisting of the de Rham differential and the contraction a
Externí odkaz:
http://arxiv.org/abs/1907.00155
Autor:
Zucchini, Roberto
It is a classic result that the geometry of the total space of a principal bundle with reference to the action of the bundle's structure group is codified in the bundle's operation, a collection of derivations comprising the de Rham differential and
Externí odkaz:
http://arxiv.org/abs/1905.10057
Autor:
Zucchini, Roberto
Holonomy invariants in strict higher gauge theory have been studied in depth, aiming to applications to higher Chern-Simons theory. For a flat 2-connection, the holonomy of surface knots of arbitrary genus has been defined and its covariance properti
Externí odkaz:
http://arxiv.org/abs/1903.02853
Autor:
Zucchini, Roberto
In the present paper, which is a mathematical follow--up of [16] taking inspiration from [11], we present an abstract formulation of exact renormalization group (RG) in the framework of Batalin--Vilkovisky (BV) algebra theory. In the first part, we w
Externí odkaz:
http://arxiv.org/abs/1711.07795
Autor:
Zucchini, Roberto
In this paper, inspired by the Costello's seminal work, we present a general formulation of exact renormalization group (RG) within the Batalin-Vilkovisky (BV) quantization scheme. In the spirit of effective field theory, the BV bracket and Laplacian
Externí odkaz:
http://arxiv.org/abs/1711.01213
Autor:
Zucchini, Roberto
In this paper, we present a purely algebraic formulation of higher gauge theory and gauged sigma models based on the abstract theory of graded commutative algebras and their morphisms. The formulation incorporates naturally BRST symmetry and is also
Externí odkaz:
http://arxiv.org/abs/1702.01545