A
bstract
This is the first part of a two-part work on a unified mathematical theory of gapped and gapless edges of 2d topological orders. We analyze all the possible observables on the 1+1D world ...sheet of a chiral gapless edge of a 2d topological order, and show that these observables form an enriched unitary fusion category, the Drinfeld center of which is precisely the unitary modular tensor category associated to the bulk. This mathematical description of a chiral gapless edge automatically includes that of a gapped edge (i.e. a unitary fusion category) as a special case. Therefore, we obtain a unified mathematical description and a classification of both gapped and chiral gapless edges of a given 2d topological order. In the process of our analysis, we encounter an interesting and reoccurring phenomenon: spatial fusion anomaly, which leads us to propose the Principle of Universality at RG fixed points for all quantum field theories. Our theory also implies that all chiral gapless edges can be obtained from a so-called topological Wick rotations. This fact leads us to propose, at the end of this work, a surprising correspondence between gapped and gapless phases in all dimensions.
Due to their very low volatility, high thermal stability, and ability to dissolve a wide variety of compounds, ionic liquids appear to meet the rigorous criteria for industrial applications. Among ...other uses, ionic liquids appear to be efficient for gas capture, biomass pretreatment, separation problems, and electrochemistry. They are also used in electrolytes, as lubricants, catalysts, or as antistatic agents. This book discusses the various uses of ionic liquids. Chapters discuss such topics as the use of ionic liquids in batteries, new mono, di, and trimeric imidazolium and pyridinium ionic liquids as catalysts in organic chemistry, the physico-chemical properties of ionic liquid-substituted double-network gels for industrial applications, the use of paramagnetic ionic liquids in magnetic resonance imaging, the compatibility of filter materials used with ionic liquids, and the development of low-friction ion gels for industrial applications.
A
bstract
Fusion category symmetries are finite symmetries in 1+1 dimensions described by unitary fusion categories. We classify 1+1d time-reversal invariant bosonic symmetry protected topological ...(SPT) phases with fusion category symmetry by using topological field theories. We first formulate two-dimensional unoriented topological field theories whose symmetry splits into time-reversal symmetry and fusion category symmetry. We then solve them to show that SPT phases are classified by equivalence classes of quintuples (
Z
,
M
,
i
,
s
,
ϕ
) where (
Z
,
M
,
i
) is a fiber functor,
s
is a sign, and
ϕ
is the action of orientation- reversing symmetry that is compatible with the fiber functor (
Z
,
M
,
i
). We apply this classification to SPT phases with Kramers-Wannier-like self-duality.
A
bstract
The QCD axion or axion-like particles are candidates of dark matter of the universe. On the other hand, axion-like excitations exist in certain condensed matter systems, which implies that ...there can be interactions of dark matter particles with condensed matter axions. We discuss the relationship between the condensed matter axion and a collective spin-wave excitation in an anti-ferromagnetic insulator at the quantum level. The conversion rate of the light dark matter, such as the elementary particle axion or hidden photon, into the condensed matter axion is estimated for the discovery of the dark matter signals.
A
bstract
We discuss a strategy to construct gapped boundaries for a large class of symmetry-protected topological phases (SPT phases) beyond group cohomology. This is done by a generalization of the ...symmetry extension method previously used for cohomo- logical SPT phases. We find that this method allows us to construct gapped boundaries for time-reversal-invariant bosonic SPT phases and for fermionic Gu-Wen SPT phases for arbitrary finite internal symmetry groups.
A
bstract
Bosonization dualities relate two different Chern-Simons-matter theories, with bosonic matter on one side replaced by fermionic matter on the other. We first describe a more general class ...of non-Abelian bosonization dualities. We then explore the nonrelativistic physics of these theories in the quantum Hall regime. The bosonic theory lies in a condensed phase and admits vortices which are known to form a non-Abelian quantum Hall state. We ask how this same physics arises in the fermionic theory. We find that a condensed boson corresponds to a fully filled Landau level of fermions, while bosonic vortices map to fermionic holes. We confirm that the ground state of the two theories is indeed described by the same quantum Hall wavefunction.
Phase transitions and critical phenomena have consistently been among the principal subjects of active studies in statistical physics. The simple act of transforming one state of matter or phase into ...another, for instance by changing the temperature, has always captivated the curious mind. This book provides an introductory account on the theory of phase transitions and critical phenomena, a subject now recognized to be indispensable for students and researchers from many fields of physics and related disciplines. The first five chapters are very basic and quintessential, and cover standard topics such as mean-field theories, the renormalization group and scaling, universality, and statistical field theory methods. The remaining chapters develop more advanced concepts, including conformal field theory, the Kosterlitz-Thouless transition, the effects of randomness, percolation, exactly solvable models, series expansions, duality transformations, and numerical techniques. Moreover, a comprehensive series of appendices expand and clarify several issues not developed in the main text. The important role played by symmetry and topology in understanding the competition between phases and the resulting emergent collective behaviour, giving rise to rigidity and soft elementary excitations, is stressed throughout the book. Serious attempts have been directed toward a self-contained modular approach so that the reader does not have to refer to other sources for supplementary information. Accordingly, most of the concepts and calculations are described in detail, sometimes with additional/auxiliary descriptions given in appendices and exercises. The latter are presented as the topics develop with solutions found at the end of the book, thus giving the text a self-learning character.
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.
M-theoretic genesis of topological phases Cho, Gil Young; Gang, Dongmin; Kim, Hee-Cheol
The journal of high energy physics,
11/2020, Letnik:
2020, Številka:
11
Journal Article
Recenzirano
Odprti dostop
A
bstract
We present a novel M-theoretic approach of constructing and classifying anyonic topological phases of matter, by establishing a correspondence between (2+1)d topological field theories and ...non-hyperbolic 3-manifolds. In this construction, the topological phases emerge as macroscopic world-volume theories of M5-branes wrapped around certain types of non-hyperbolic 3-manifolds. We devise a systematic algorithm for identifying the emergent topological phases from topological data of the internal wrapped 3-manifolds. As a benchmark of our approach, we reproduce all the known unitary bosonic topological orders up to rank 4. Remarkably, our construction is not restricted to an unitary bosonic theory but it can also generate fermionic and/or non-unitary anyon models in an equivalent fashion. Hence, we pave a new route toward the classification of topological phases of matter.
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.
PDF
