scholarly journals BPS spectra and 3-manifold invariants

2020 ◽  
Vol 29 (02) ◽  
pp. 2040003
Author(s):  
Sergei Gukov ◽  
Du Pei ◽  
Pavel Putrov ◽  
Cumrun Vafa
Keyword(s):  
Riemann Surfaces ◽  
Index Formula ◽  
Lens Spaces ◽  
Partition Functions ◽  
Flat Connections ◽  
Definition Of ◽  
Bps States ◽  
Chern Simons ◽  
Theory Formula

We provide a physical definition of new homological invariants [Formula: see text] of 3-manifolds (possibly, with knots) labeled by abelian flat connections. The physical system in question involves a 6d fivebrane theory on [Formula: see text] times a 2-disk, [Formula: see text], whose Hilbert space of BPS states plays the role of a basic building block in categorification of various partition functions of 3d [Formula: see text] theory [Formula: see text]: [Formula: see text] half-index, [Formula: see text] superconformal index, and [Formula: see text] topologically twisted index. The first partition function is labeled by a choice of boundary condition and provides a refinement of Chern–Simons (WRT) invariant. A linear combination of them in the unrefined limit gives the analytically continued WRT invariant of [Formula: see text]. The last two can be factorized into the product of half-indices. We show how this works explicitly for many examples, including Lens spaces, circle fibrations over Riemann surfaces, and plumbed 3-manifolds.

scholarly journals Chern-Simons invariants from ensemble averages

2021 ◽  
Vol 2021 (8) ◽  
Author(s):  
Meer Ashwinkumar ◽  
Matthew Dodelson ◽  
Abhiram Kidambi ◽  
Jacob M. Leedom ◽  
Masahito Yamazaki
Keyword(s):  
Three Dimensional ◽  
Lens Spaces ◽  
Kinetic Term ◽  
Simons Theory ◽  
Partition Functions ◽  
Conformal Field Theories ◽  
Integral Quadratic Form ◽  
Conformal Field ◽  
Chern Simons ◽  
Chern Simons Theory

Abstract We discuss ensemble averages of two-dimensional conformal field theories associated with an arbitrary indefinite lattice with integral quadratic form Q. We provide evidence that the holographic dual after the ensemble average is the three-dimensional Abelian Chern-Simons theory with kinetic term determined by Q. The resulting partition function can be written as a modular form, expressed as a sum over the partition functions of Chern-Simons theories on lens spaces. For odd lattices, the dual bulk theory is a spin Chern-Simons theory, and we identify several novel phenomena in this case. We also discuss the holographic duality prior to averaging in terms of Maxwell-Chern-Simons theories.

scholarly journals Partition functions of Chern-Simons theory on handlebodies by radial quantization

2021 ◽  
Vol 2021 (7) ◽  
Author(s):  
Massimo Porrati ◽  
Cedric Yu
Keyword(s):  
Partition Function ◽  
Riemann Surfaces ◽  
Wilson Loop ◽  
Transition Amplitude ◽  
Simons Theory ◽  
Partition Functions ◽  
Initial State ◽  
Gauge Groups ◽  
Arbitrary Genus ◽  
Chern Simons

Abstract We use radial quantization to compute Chern-Simons partition functions on handlebodies of arbitrary genus. The partition function is given by a particular transition amplitude between two states which are defined on the Riemann surfaces that define the (singular) foliation of the handlebody. The final state is a coherent state while on the initial state the holonomy operator has zero eigenvalue. The latter choice encodes the constraint that the gauge fields must be regular everywhere inside the handlebody. By requiring that the only singularities of the gauge field inside the handlebody must be compatible with Wilson loop insertions, we find that the Wilson loop shifts the holonomy of the initial state. Together with an appropriate choice of normalization, this procedure selects a unique state in the Hilbert space obtained from a Kähler quantization of the theory on the constant-radius Riemann surfaces. Radial quantization allows us to find the partition functions of Abelian Chern-Simons theories for handlebodies of arbitrary genus. For non-Abelian compact gauge groups, we show that our method reproduces the known partition function at genus one.

scholarly journals Poisson–Lie Groups and Gauge Theory

Symmetry ◽  
2021 ◽  
Vol 13 (8) ◽  
pp. 1324
Author(s):  
Catherine Meusburger
Keyword(s):  
Gauge Theory ◽  
Lie Groups ◽  
Moduli Spaces ◽  
Integrable Systems ◽  
Mathematical Physics ◽  
Flat Connections ◽  
Poisson Lie Groups ◽  
Chern Simons

We review Poisson–Lie groups and their applications in gauge theory and integrable systems from a mathematical physics perspective. We also comment on recent results and developments and their applications. In particular, we discuss the role of quasitriangular Poisson–Lie groups and dynamical r-matrices in the description of moduli spaces of flat connections and the Chern–Simons gauge theory.

Challenges of Fear Conditioning Research in the Age of RDoC

2017 ◽  
Vol 225 (3) ◽  
pp. 189-199 ◽  
Author(s):  
Tina B. Lonsdorf ◽  
Jan Richter
Keyword(s):  
Fear Conditioning ◽  
Clinical Diagnosis ◽  
Research Domain Criteria ◽  
Major Focus ◽  
The Future ◽  
Definition Of ◽  
Methodological Considerations ◽  
Research Domain

Abstract. As the criticism of the definition of the phenotype (i.e., clinical diagnosis) represents the major focus of the Research Domain Criteria (RDoC) initiative, it is somewhat surprising that discussions have not yet focused more on specific conceptual and procedural considerations of the suggested RDoC constructs, sub-constructs, and associated paradigms. We argue that we need more precise thinking as well as a conceptual and methodological discussion of RDoC domains and constructs, their interrelationships as well as their experimental operationalization and nomenclature. The present work is intended to start such a debate using fear conditioning as an example. Thereby, we aim to provide thought-provoking impulses on the role of fear conditioning in the age of RDoC as well as conceptual and methodological considerations and suggestions to guide RDoC-based fear conditioning research in the future.

Business Model Literature Overview

2014 ◽  
pp. 79-130 ◽  
Author(s):  
Ales Novak
Keyword(s):  
Business Model ◽  
Financial Reporting ◽  
Business Models ◽  
Potential Role ◽  
Financial Instruments ◽  
Business Logic ◽  
Literature Overview ◽  
Ifrs 9 ◽  
Definition Of

The term ?business model' has recently attracted increased attention in the context of financial reporting and was formally introduced into the IFRS literature when IFRS 9 Financial Instruments was published in November 2009. However, IFRS 9 did not fully define the term ‘business model'. Furthermore, the literature on business models is quite diverse. It has been conducted in largely isolated fashion; therefore, no generally accepted definition of ?business model' has emerged. Therefore, a better understanding of the notion itself should be developed before further investigating its potential role within financial reporting. The aim of this paper is to highlight some of the perceived key themes and to identify other bases for grouping/organizing the literature based on business models. The contributions this paper makes to the literature are twofold: first, it complements previous review papers on business models; second, it contains a clear position on the distinction between the notions of the business model and strategy, which many authors identify as a key element in better explaining and communicating the notion of the business model. In this author's opinion, the term ‘strategy' is a dynamic and forward-looking notion, a sort of directional roadmap for future courses of action, whereas, ‘business model' is a more static notion, reflecting the conceptualisation of the company's underlying core business logic. The conclusion contains the author's thoughts on the role of the business model in financial reporting.

The Role of Moral Education on the Dress Code in the Higher Learning Institution

Sains Insani ◽  
2016 ◽  
Vol 1 (1) ◽  
pp. 10-14
Author(s):  
Ira Meilita Ibrahim ◽  
Taufik A. Latif ◽  
Afi Roshezry Abu Bakar ◽  
Muthualagan Thangavelu
Keyword(s):  
Moral Education ◽  
Private University ◽  
Public University ◽  
Higher Learning ◽  
Private Institutions ◽  
Dress Code ◽  
Institutions Of Higher Learning ◽  
The World ◽  
Definition Of

The advancement of European dress to the rest of the world was linked to the definition of civilization as “a stage of social development considered to be more advanced” and “polite and good-mannered”. The widespread of their fashion style in the 19th and 20th centuries influenced the way the rest of the world attire. The fashion trend and dressing style thus change the purpose of dressing through time. The dressing style in campuses especially in private institutions of higher learning is under particular scrutiny, as it is often said to be inappropriate for a learning environment. This study looked at the importance of moral education, and its role in implementing the dress code for students among university students especially between two types of university i.e. public university and private university. It looked on the dressing style of students, both male and female, and the factors that lead to their dressing pattern which is common among students. This study also advocated the students’ understanding of the content of dress codes in their learning institution and the role played by moral education in regard to dress code. The overall study highlighted students’ perception towards the implementation of the dress code and punishment in their learning institution. The methodologies used to carry out this study are questionnaires and interviews. This study will therefore ascertain the important of dress code among students at higher learning institution and the role of moral education in cultivating values in order to dress properly or decently. Key Words: moral education, dress code, higher learning institution, civilization.

Two Representations of the Moscow Art Theater Audience

2020 ◽  
Vol 17 (5) ◽  
pp. 462-476
Author(s):  
Alexander A. Ushkarev ◽  
Galina G. Gedovius ◽  
Tatyana V. Petrushina
Keyword(s):  
Online Community ◽  
Modern Art ◽  
Virtual Space ◽  
Demographic Parameters ◽  
Cultural Consumption ◽  
Cultural Activity ◽  
Behavioral Differences ◽  
Technological Revolution ◽  
Definition Of

The technological revolution of recent decades has already brought art to the broadest masses, and the unexpected intervention of the pandemic has significantly accelerated the process of migration of theatrical art to the virtual space, causing the corresponding dynamics of the audience. What is the theater audience in the era of digitalization and the spread of alternative forms of cultural consumption? How does the theater build its relationship with the audience today? In search of answers, we conducted a series of sociological surveys of the Chekhov Moscow Art Theater’s audience — both at the theater’s performances and in the online community of its fans. The purpose of this phase of the study was to answer the fundamental questions: do spectators surveyed in the theater and those surveyed online represent the same audience; what are their main differences; and what are the drivers of their spectator behavior? The article presents the main results of a comparative analysis of two images of the Moscow Art Theatre’s audience based on a number of content parameters by two types of surveys, as well as the results of a regression analysis of the theater attendance. The study resulted in definition of the qualitative and behavioral differences between the theater visitors and the viewers surveyed online, and identification of the factors of theater attendance for both of the represented audience groups. The study made it possible to clarify the role of age and other socio-demographic parameters in cultural activity, as well as the influence of preferred forms of cultural consumption (live contacts or online views) on one’s attitude to art, motivation and spectator behavior. The conclusions of the study, despite the uniqueness of the object, reflect the general patterns of the modern art audience’s dynamics.

DIGITAL ECONOMY AND GLOBALIZATION: THE IMPORTANCE OF DIGITAL ENTREPRENEURSHIP DEVELOPMENT

2020 ◽  
Vol 6 (3) ◽  
pp. 17-20
Author(s):  
Farxod Tursunov ◽  
Keyword(s):  
Business Models ◽  
Digital Economy ◽  
Management Systems ◽  
Entrepreneurship Development ◽  
New Business ◽  
Definition Of ◽  
Digital Enterprise ◽  
New Business Models ◽  
Digital Entrepreneurship

The article discusses the role of the digital economy in the development of the country, how it becomes the basis of the economy, new business models and management systems. The opinion of scientistsis analyzed, a definition of a digital enterprise is given

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