scholarly journals A note on the $$ \mathcal{N} $$ = 2 super-$$ {\mathcal{W}}_3 $$ holographic dictionary

2020 ◽  
Vol 2020 (12) ◽  
Author(s):  
Alejandra Castro ◽  
Alberto Faraggi ◽  
Israel Osorio
Keyword(s):  
Companion Paper ◽  
Complete Analysis ◽  
Full Detail ◽  
Spectral Flow ◽  
Real Form ◽  
Multiplet Structure ◽  
Lorentzian Signature ◽  
Flow Invariance ◽  
Chern Simons ◽  
Asymptotic Symmetries

Abstract This is a long-overdue companion paper to [1]. We study the relation between sl(3|2) Chern-Simons supergravity on AdS3 and two-dimensional CFT’s with $$ \mathcal{N} $$ N = 2 super-$$ {\mathcal{W}}_3 $$ W 3 symmetry. Specifically, we carry out a complete analysis of asymptotic symmetries in a basis that makes the superconformal structure transparent, allowing us to establish the precise dictionary between currents and transformation parameters in the bulk and their boundary counterparts. We also discuss the incorporation of sources and display in full detail the corresponding holographic Ward identities. By imposing suitable hermiticity conditions on the CFT currents, we identify the superalgebra su(2, 1|1, 1) as the appropriate real form of sl(3|2) in Lorentzian signature. We take the opportunity to review some of the properties of the $$ \mathcal{N} $$ N = 2 super-$$ {\mathcal{W}}_3 $$ W 3 conformal algebra, including its multiplet structure, OPE’s and spectral flow invariance, correcting some minor typos present in the literature.

scholarly journals Asymptotic symmetries of Maxwell Chern–Simons gravity with torsion

2020 ◽  
Vol 80 (10) ◽  
Author(s):  
H. Adami ◽  
P. Concha ◽  
E. Rodríguez ◽  
H. R. Safari
Keyword(s):  
Boundary Conditions ◽  
Three Dimensional ◽  
Coupling Constants ◽  
Simons Theory ◽  
Asymptotic Symmetry ◽  
Chern Simons ◽  
Asymptotic Symmetries ◽  
Chern Simons Theory

AbstractWe present a three-dimensional Chern–Simons gravity based on a deformation of the Maxwell algebra. This symmetry allows introduction of a non-vanishing torsion to the Maxwell Chern–Simons theory, whose action recovers the Mielke–Baekler model for particular values of the coupling constants. By considering suitable boundary conditions, we show that the asymptotic symmetry is given by the $$\widehat{{\mathfrak {bms}}}_3\oplus {\mathfrak {vir}}$$ bms ^ 3 ⊕ vir algebra with three independent central charges.

scholarly journals Quantum D = 3 Euclidean and Poincaré symmetries from contraction limits

2020 ◽  
Vol 2020 (9) ◽  
Author(s):  
Jerzy Kowalski-Glikman ◽  
Jerzy Lukierski ◽  
Tomasz Trześniewski
Keyword(s):  
Quantum Gravity ◽  
Cosmological Constant ◽  
Complete Classification ◽  
Complete List ◽  
Drinfeld Double ◽  
Lorentzian Signature ◽  
Quantum Deformations ◽  
Chern Simons

Abstract Following the recently obtained complete classification of quantum-deformed $$ \mathfrak{o} $$ o (4), $$ \mathfrak{o} $$ o (1, 3) and $$ \mathfrak{o} $$ o (2) algebras, characterized by classical r-matrices, we study their inhomogeneous D = 3 quantum IW contractions (i.e. the limit of vanishing cosmological constant), with Euclidean or Lorentzian signature. Subsequently, we compare our results with the complete list of D = 3 inhomogeneous Euclidean and D = 3 Poincaré quantum deformations obtained by P. Stachura. It turns out that the IW contractions allow us to recover all Stachura deformations. We further discuss the applicability of our results in the models of 3D quantum gravity in the Chern-Simons formulation (both with and with- out the cosmological constant), where it is known that the relevant quantum deformations should satisfy the Fock-Rosly conditions. The latter deformations in part of the cases are associated with the Drinfeld double structures, which also have been recently investigated in detail.

scholarly journals Asymptotic symmetries of three-dimensional Chern-Simons gravity for the Maxwell algebra

2018 ◽  
Vol 2018 (10) ◽  
Author(s):  
Patrick Concha ◽  
Nelson Merino ◽  
Olivera Miskovic ◽  
Evelyn Rodríguez ◽  
Patricio Salgado-Rebolledo ◽  
...  
Keyword(s):  
Three Dimensional ◽  
Chern Simons ◽  
Asymptotic Symmetries

scholarly journals PLUGGING THE GAUGE-FIXING INTO THE LAGRANGIAN

1996 ◽  
Vol 11 (05) ◽  
pp. 975-987 ◽  
Author(s):  
J.M. PONS
Keyword(s):  
Dynamical System ◽  
Complete Analysis ◽  
Full Detail ◽  
Gauge Freedom ◽  
Original Theory ◽  
Gauge Fixing

A complete analysis of the consequences of introducing a set of holonomic gauge-fixing constraints (to fix the dynamics) into a singular Lagrangian is performed. It is shown that in general the dynamical system originating from the reduced Lagrangian erases all the information regarding the first class constraints of the original theory, but retains the second class ones. It is proved that even though the reduced Lagrangian can be singular, it never possesses any gauge freedom. As an application, the example of n·A=0 gauges in electromagnetism is treated in full detail.

scholarly journals TOPOLOGICAL SOLITON MULTIPLETS IN (4+1)-DIMENSIONAL YMCS THEORY

1993 ◽  
Vol 08 (09) ◽  
pp. 1653-1666
Author(s):  
C.S. AULAKH ◽  
V. SONI
Keyword(s):  
Magnetic Moments ◽  
Vital Role ◽  
Multiplet Structure ◽  
Topological Soliton ◽  
Topological Solitons ◽  
Yang Mills ◽  
Chern Simons

We generalize our results1 on charged topological solitons (CTS’s) in (4+1)-dimensional SU (3) Yang-Mills-Chern-Simons (YMCS) theory to SU (N). The SU (N) multiplet structure of two classes of solitons associated with the maximal embeddings SU (2)× U (1)N−2 ⊂ SU (N) and SO (3)× U (1)N−3⊂ SU (N) and the vital role of the SU (N) multiplet of topological currents are clarified. In the case of the first embedding, one obtains a NC2-plet of CTS’s. In the second, for N=3, one obtains neutral solitons which, though (classically) spinless, have magnetic moments. For N≥4, after modding out the above-mentioned nonparticulate feature, one obtains NC3-plets of CTS’s.

Chern-Simons theory for electrons in high Landau levels

1999 ◽  
Vol 09 (PR10) ◽  
pp. Pr10-223-Pr10-225
Author(s):  
S. Scheidl ◽  
B. Rosenow
Keyword(s):  
Landau Levels ◽  
Simons Theory ◽  
Chern Simons ◽  
Chern Simons Theory

TOURIST BUSINESS DEVELOPMENT IN UKRAINE

2019 ◽  
pp. 39-46
Author(s):  
Stefania Mosiuk ◽  
Igor Mosiuk ◽  
Vladimir Mosiuk
Keyword(s):  
National Economy ◽  
Methodological Approach ◽  
Business Development ◽  
Tourism Industry ◽  
The State ◽  
Complete Analysis ◽  
Resource Potential ◽  
The World ◽  
Potential Resource ◽  
Favorable Conditions

The purpose of the article is to analyze and substantiate the development of tourism business in Ukraine as a priority component of the national economy. The methodology of this study is to use analytical, spatial, geographical, cultural and other methods. This methodological approach provided an opportunity to carry out a complete analysis of the state of the tourism industry of the state and to draw some conclusions.The scientific novelty lies in the coverage of the real and potential resource potential for the development of the recreational and tourism sphere in Ukraine, detailing the measures for the country ‘s entry into the world tourist market. Conclusions. Analyzing the state and prospects of tourism business development in Ukraine, it should be noted that this industry is one of the priority areas for improving the economy of the country. Historical, cultural – ethnographic, gastronomic, sanatorium and resort potentials of the country will lead the country into world leaders of the tourism industry when creating favorable conditions for investment and proper marketing.

Dosimetry and optimization in digital radiography based on the contrast-detail resolution

2018 ◽  
Vol 6 (3) ◽  
Author(s):  
Wilson Otto Gomes Batista ◽  
Alexandre Gomes De Carvalho
Keyword(s):  
Image Quality ◽  
Inverse Image ◽  
Point Of View ◽  
Complete Analysis ◽  
Portable Devices ◽  
Evaluation Tool ◽  
Air Kerma ◽  
Direct Radiography ◽  
Definition Of ◽  
Entrance Surface Air Kerma

Contrast-detail (C-D) curves are useful in evaluating the radiographic image quality in a global way. The objective of the present study was to obtain the C-D curves and the inverse image quality figure. Both of these parameters were used as an evaluation tool for abdominal and chest imaging protocols. The C-D curves were obtained with the phantom CDRAD 2.0 in computerized radiography and the direct radiography systems (including portable devices). The protocols were 90 and 102 kV in the range of 2 to 20 mAs for the chest and 80 kV in the range of 10 to 80 mAs for the abdomen. The incident air kerma values were evaluated with a solid state sensor. The analysis of these C-D curves help to identify which technique would allow a lower value of the entrance surface air kerma, Ke, while maintaining the image quality from the point of view of C-D detectability. The results showed that the inverse image quality figure, IQFinv, varied little throughout the range of mAs, while the value of Ke varied linearly directly with the mAs values. Also, the complete analysis of the curves indicated that there was an increase in the definition of the details with increasing mAs. It can be concluded that, in the transition phase for the use of the new receptors, it is necessary to evaluate and adjust the practised protocols to ensure, at a minimum, the same levels of the image quality, taking into account the aspects of the radiation protection of the patient.

Degenerate Diffusion Operators Arising in Population Biology (AM-185)

2017 ◽  
Author(s):  
Charles L. Epstein ◽  
Rafe Mazzeo
Keyword(s):  
Adjoint Operator ◽  
Integral Kernel ◽  
Mathematical Finance ◽  
Elliptic Operators ◽  
Complete Analysis ◽  
Time Behavior ◽  
Degenerate Elliptic Operators ◽  
Regularity Properties ◽  
Degenerate Elliptic ◽  
Mathematical Foundations

This book provides the mathematical foundations for the analysis of a class of degenerate elliptic operators defined on manifolds with corners, which arise in a variety of applications such as population genetics, mathematical finance, and economics. The results discussed in this book prove the uniqueness of the solution to the martingale problem and therefore the existence of the associated Markov process. The book uses an “integral kernel method” to develop mathematical foundations for the study of such degenerate elliptic operators and the stochastic processes they define. The precise nature of the degeneracies of the principal symbol for these operators leads to solutions of the parabolic and elliptic problems that display novel regularity properties. Dually, the adjoint operator allows for rather dramatic singularities, such as measures supported on high codimensional strata of the boundary. The book establishes the uniqueness, existence, and sharp regularity properties for solutions to the homogeneous and inhomogeneous heat equations, as well as a complete analysis of the resolvent operator acting on Hölder spaces. It shows that the semigroups defined by these operators have holomorphic extensions to the right half plane. The book also demonstrates precise asymptotic results for the long-time behavior of solutions to both the forward and backward Kolmogorov equations.

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