Title in English: The 3rd Plasma Nanotechnologies and Bioapplications Workshop: Scientific Program & Book of Abstracts The Book of Abstracts contains contributions to the presentations of the third ...workshop organized by the Plasma Nanotechnology and Bioapplications Research Group at the Department of Plasma Physics and Technology, Faculty of Science, Masaryk University. The event, entitled “The 3rd Plasma Nanotechnologies and Bioapplications Workshop”, was held at the Rustikal Hotel in Hustopeče from 9 to 12 October 2023. The workshop was attended by scientific teams from the Department of Plasma Physics and Technology of the Faculty of Science at Masaryk University, the Department of Experimental Physics and Division of Environmental Physics of the Faculty of Mathematics, Physics and Informatics at Comenius University in Bratislava, which are regular participants. However, this year's edition is also characterised by the abundant participation of international teams from Germany - HAWK University of Applied Sciences and Arts, University of Stuttgart; Slovenia - University of Ljubljana and Austria - University of Natural Resources and Life Sciences. During the workshop, contributions on the following topics were presented in the form of lectures: New developments and diagnostics of DBD, Plasma and glass processing, Plasma in contact with liquids & Plasma water purification, Plasma and bioapplications, Plasma reduced graphene oxide, and Plasma surface processes.
A
bstract
We consider 3
d
N
= 2 gauge theories with fundamental matter plus a single field in a rank-2 representation. Using iteratively a process of “deconfinement” of the rank-2 field, we produce a ...sequence of Seiberg-dual quiver theories. We detail this process in two examples with zero superpotential: Usp(2
N
) gauge theory with an antisymmetric field and U(
N
) gauge theory with an adjoint field. The fully deconfined dual quiver has
N
nodes, and can be interpreted as an Aharony dual of theories with rank-2 matter. All chiral ring generators of the original theory are mapped into gauge singlet fields of the fully deconfined quiver dual.
A
bstract
We study lattice Hamiltonian realisations of (3+1)d Dijkgraaf-Witten theory with gapped boundaries. In addition to the bulk loop-like excitations, the Hamiltonian yields bulk dyonic ...string-like excitations that terminate at gapped boundaries. Using a tube algebra approach, we classify such excitations and derive the corresponding representation theory. Via a dimensional reduction argument, we relate this tube algebra to that describing (2+1)d boundary point-like excitations at interfaces between two gapped boundaries. Such point-like excitations are well known to be encoded into a bicategory of module categories over the input fusion category. Exploiting this correspondence, we define a bicategory that encodes the string-like excitations ending at gapped boundaries, showing that it is a sub-bicategory of the centre of the input bicategory of group-graded 2-vector spaces. In the process, we explain how gapped boundaries in (3+1)d can be labelled by so-called pseudo-algebra objects over this input bicategory.
A
bstract
We study a four-dimensional U(1) gauge theory with the
θ
angle, which was originally proposed by Cardy and Rabinovici. It is known that the model has the rich phase diagram thanks to the ...presence of both electrically and magnetically charged particles. We discuss the topological nature of the oblique confinement phase of the model at
θ
=
π
, and show how its appearance can be consistent with the anomaly constraint. We also construct the SL(2
,
ℤ) self-dual theory out of the Cardy-Rabinovici model by gauging a part of its one-form symmetry. This self-duality has a mixed ’t Hooft anomaly with gravity, and its implications on the phase diagram is uncovered. As the model shares the same global symmetry and ’t Hooft anomaly with those of SU(
N
) Yang-Mills theory, studying its topological aspects would provide us more hints to explore possible dynamics of non-Abelian gauge theories with nonzero
θ
angles.
A
bstract
We introduce a new basis for the gauge-invariant Hilbert space of lattice gauge theory and loop quantum gravity in (2 + 1) dimensions, the fusion basis. In doing so, we shift the focus from ...the original lattice (or spin-network) structure directly to that of the magnetic (curvature) and electric (torsion) excitations themselves. These excitations are classified by the irreducible representations of the Drinfel’d double of the gauge group, and can be readily “fused” together by studying the tensor product of such representations. We will also describe in detail the ribbon operators that create and measure these excitations and make the quasi-local structure of the observable algebra explicit. Since the fusion basis allows for both magnetic and electric excitations from the onset, it turns out to be a precious tool for studying the large scale structure and coarse-graining flow of lattice gauge theories and loop quantum gravity. This is in neat contrast with the widely used spin-network basis, in which it is much more complicated to account for electric excitations, i.e. for Gauß constraint violations, emerging at larger scales. Moreover, since the fusion basis comes equipped with a hierarchical structure, it readily provides the language to design states with sophisticated multi-scale structures. Another way to employ this hierarchical structure is to encode a notion of subsystems for lattice gauge theories and (2 + 1) gravity coupled to point particles. In a follow-up work, we have exploited this notion to provide a new definition of entanglement entropy for these theories.
A
bstract
Fracton phases of matter are gapped phases of matter that, by dint of their sensitivity to UV data, demand non-standard quantum field theories to describe them in the IR. Two such ...approaches are foliated quantum theory and exotic field theory. In this paper, we explicitly construct a map from one to the other and work out several examples. In particular, we recover the equivalence between the foliated and exotic fractonic BF theories recently demonstrated at the level of operator correspondence. We also demonstrate the equivalence of toric code layers and the anisotropic model with lineons and planons to the foliated BF theory with one and two foliations, respectively. Finally, we derive new exotic field theories that provide simple descriptions of hybrid fracton phases from foliated field theries known to do so. Our results both provide new examples of exotic field theories and pave the way toward their systematic construction from foliated field theories.
A
bstract
We study an ’t Hooft anomaly of massless QCD at finite temperature. With the imaginary baryon chemical potential at the Roberge-Weiss point, there is a ℤ
2
symmetry which can be used to ...define confinement. We show the existence of a mixed anomaly between the ℤ
2
symmetry and the chiral symmetry, which gives a strong relation between confinement and chiral symmetry breaking. The anomaly is a parity anomaly in the QCD Lagrangian reduced to three dimensions. It is reproduced in the chiral Lagrangian by a topological term related to Skyrmion charge, matching the anomaly before and after QCD phase transition. The effect of the imaginary chemical potential is suppresssed in the large
N
expansion, and we discuss implications of the ’t Hooft anomaly matching for the nature of QCD phase transition with and without the imaginary chemical potential. Arguments based on universality alone are disfavored, and a first order phase transition may be the simplest possibility if the large
N
expansion is qualitatively good.
A
bstract
The Chiral Soliton Lattice (CSL) is a state with a periodic array of topological solitons that spontaneously breaks parity and translational symmetries. Such a state is known to appear in ...chiral magnets. We show that CSL also appears as a ground state of quantum chromodynamics at nonzero chemical potential in a magnetic field. By analyzing the fluctuations of the CSL, we furthermore demonstrate that in strong but achievable magnetic fields, charged pions undergo Bose-Einstein condensation. Our results, based on a systematic low-energy effective theory, are model-independent and fully analytic.
A
bstract
We explore 2-form topological gauge theories in (3+1)d. These theories can be constructed as sigma models with target space the second classifying space
B
2
G
of the symmetry group
G
, and ...they are classified by cohomology classes of
B
2
G
. For finite symmetry groups, 2-form topological theories have a natural lattice interpretation, which we use to construct a lattice Hamiltonian model in (3+1)d that is exactly solvable. This construction relies on the introduction of a cohomology, dubbed 2-form cohomology, of algebraic cocycles that are identified with the simplicial cocycles of
B
2
G
as provided by the so-called
W
-construction of Eilenberg-MacLane spaces. We show algebraically and geometrically how a 2-form 4-cocycle reduces to the associator and the braiding isomorphisms of a premodular category of
G
-graded vector spaces. This is used to show the correspondence between our 2-form gauge model and the Walker-Wang model.
Categories of quantum liquids I Kong, Liang; Zheng, Hao
The journal of high energy physics,
08/2022, Letnik:
2022, Številka:
8
Journal Article
Recenzirano
Odprti dostop
A
bstract
We develop a mathematical theory of separable higher categories based on Gaiotto and Johnson-Freyd’s work on condensation completion. Based on this theory, we prove some fundamental results ...on
E
m
-multi-fusion higher categories and their higher centers. We also outline a theory of unitary higher categories based on a ∗-version of condensation completion. After these mathematical preparations, based on the idea of topological Wick rotation, we develop a unified mathematical theory of all quantum liquids, which include topological orders, SPT/SET orders, symmetry-breaking orders and CFT-like gapless phases. We explain that a quantum liquid consists of two parts, the topological skeleton and the local quantum symmetry, and show that all
n
D quantum liquids form a ∗-condensation complete higher category whose equivalence type can be computed explicitly from a simple coslice 1-category.
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