scholarly journals On a modular property of $ \mathcal{N}=2 $ superconformal theories in four dimensions

2012 ◽  
Vol 2012 (10) ◽  
Author(s):  
Shlomo S. Razamat
Keyword(s):  
Four Dimensions ◽  
Superconformal Theories ◽  
Modular Property

scholarly journals More on holographic correlators: twisted and dimensionally reduced structures

2021 ◽  
Vol 2021 (4) ◽  
Author(s):  
Connor Behan ◽  
Pietro Ferrero ◽  
Xinan Zhou
Keyword(s):  
Field Theory ◽  
Theoretical Data ◽  
Infinite Family ◽  
Tree Level ◽  
Chiral Algebra ◽  
Perfect Agreement ◽  
Four Dimensions ◽  
Independent Field ◽  
Superconformal Theories ◽  
Emergent Structure

Abstract Recently four-point holographic correlators with arbitrary external BPS operators were constructively derived in [1, 2] at tree-level for maximally superconformal theories. In this paper, we capitalize on these theoretical data, and perform a detailed study of their analytic properties. We point out that these maximally supersymmetric holographic correlators exhibit a hidden dimensional reduction structure à la Parisi and Sourlas. This emergent structure allows the correlators to be compactly expressed in terms of only scalar exchange diagrams in a dimensionally reduced spacetime, where formally both the AdS and the sphere factors have four dimensions less. We also demonstrate the superconformal properties of holographic correlators under the chiral algebra and topological twistings. For AdS5× S5 and AdS7× S4, we obtain closed form expressions for the meromorphic twisted correlators from the maximally R-symmetry violating limit of the holographic correlators. The results are compared with independent field theory computations in 4d $$ \mathcal{N} $$ N = 4 SYM and the 6d (2, 0) theory, finding perfect agreement. For AdS4× S7, we focus on an infinite family of near-extremal four-point correlators, and extract various protected OPE coefficients from supergravity. These OPE coefficients provide new holographic predictions to be matched by future supersymmetric localization calculations. In deriving these results, we also develop many technical tools which should have broader applicability beyond studying holographic correlators.

scholarly journals Low-energy effective actions in N=2, 4 superconformal theories in four dimensions

2000 ◽  
Vol 62 (4) ◽  
Author(s):  
I. L. Buchbinder ◽  
S. M. Kuzenko ◽  
A. A. Tseytlin
Keyword(s):  
Low Energy ◽  
Four Dimensions ◽  
Superconformal Theories

scholarly journals Correlation functions of spinor current multiplets in $$ \mathcal{N} $$ = 1 superconformal theory

2021 ◽  
Vol 2021 (7) ◽  
Author(s):  
Evgeny I. Buchbinder ◽  
Jessica Hutomo ◽  
Sergei M. Kuzenko
Keyword(s):  
Field Theory ◽  
Correlation Functions ◽  
Field Theories ◽  
Point Function ◽  
Superconformal Field Theories ◽  
Superconformal Symmetry ◽  
Four Dimensions ◽  
Superconformal Field Theory ◽  
Superconformal Theories ◽  
Spinor Current

Abstract We consider $$ \mathcal{N} $$ N = 1 superconformal field theories in four dimensions possessing an additional conserved spinor current multiplet Sα and study three-point functions involving such an operator. A conserved spinor current multiplet naturally exists in superconformal theories with $$ \mathcal{N} $$ N = 2 supersymmetry and contains the current of the second supersymmetry. However, we do not assume $$ \mathcal{N} $$ N = 2 supersymmetry. We show that the three-point function of two spinor current multiplets and the $$ \mathcal{N} $$ N = 1 supercurrent depends on three independent tensor structures and, in general, is not contained in the three-point function of the $$ \mathcal{N} $$ N = 2 supercurrent. It then follows, based on symmetry considerations only, that the existence of one more Grassmann odd current multiplet in $$ \mathcal{N} $$ N = 1 superconformal field theory does not necessarily imply $$ \mathcal{N} $$ N = 2 superconformal symmetry.

scholarly journals Modularity of supersymmetric partition functions

2021 ◽  
Vol 2021 (12) ◽  
Author(s):  
Abhijit Gadde
Keyword(s):  
Gauge Theories ◽  
Elliptic Genus ◽  
Partition Functions ◽  
Flavor Symmetry ◽  
Two Dimensional ◽  
Four Dimensions ◽  
Supersymmetric Theories ◽  
Cardy Formula ◽  
Modular Property ◽  
Large Gauge Transformation

Abstract We discover a modular property of supersymmetric partition functions of supersymmetric theories with R-symmetry in four dimensions. This modular property is, in a sense, the generalization of the modular invariance of the supersymmetric partition function of two-dimensional supersymmetric theories on a torus i.e. of the elliptic genus. The partition functions in question are on manifolds homeomorphic to the ones obtained by gluing solid tori. Such gluing involves the choice of a large diffeomorphism of the boundary torus, along with the choice of a large gauge transformation for the background flavor symmetry connections, if present. Our modular property is a manifestation of the consistency of the gluing procedure. The modular property is used to rederive a supersymmetric Cardy formula for four dimensional gauge theories that has played a key role in computing the entropy of supersymmetric black holes. To be concrete, we work with four-dimensional $$ \mathcal{N} $$ N = 1 supersymmetric theories but we expect versions of our result to apply more widely to supersymmetric theories in other dimensions.

FACT-2 – The Frankfurt Adaptive Concentration Test

2009 ◽  
Vol 25 (2) ◽  
pp. 73-82 ◽  
Author(s):  
Frank Goldhammer ◽  
Helfried Moosbrugger ◽  
Sabine A. Krawietz
Keyword(s):  
Convergent Validity ◽  
Four Dimensions ◽  
Measurement Models ◽  
Cognitive Failures ◽  
Concentration Test ◽  
Cognitive Failures Questionnaire

The Frankfurt Adaptive Concentration Test (FACT-2) requires discrimination between geometric target and nontarget items as quickly and accurately as possible. Three forms of the FACT-2 were constructed, namely FACT-I, FACT-S, and FACT-SR. The aim of the present study was to investigate the convergent validity of the FACT-SR with self-reported cognitive failures. The FACT-SR and the Cognitive Failures Questionnaire (CFQ) were completed by 191 participants. The measurement models confirmed the concentration performance, concentration accuracy, and concentration homogeneity dimensions of FACT-SR. The four dimensions of the CFQ (i.e., memory, distractibility, blunders, and names) were not confirmed. The results showed moderate convergent validity of concentration performance, concentration accuracy, and concentration homogeneity with two CFQ dimensions, namely memory and distractibility/blunders.

The Four Dimensions Of The Catalan Model

2000 ◽  
Vol 33 (First Serie (1) ◽  
pp. 100-111
Author(s):  
Pau Piuig i Scotoni
Keyword(s):  
Four Dimensions

A JOURNEY TO MEASURE STUDENT COMMUNITY ENGAGEMENT BENEFITS: EVIDENCE FROM AUSTRALIA

2019 ◽  
Vol 1 (1) ◽  
pp. 16
Author(s):  
Ellen Chung ◽  
Hamish B Coates
Keyword(s):  
Community Engagement ◽  
Undergraduate Students ◽  
Factor Loading ◽  
Higher Learning ◽  
Four Dimensions ◽  
Student Community ◽  
Institutions Of Higher Learning ◽  
Final Questionnaire ◽  
Civic Skills ◽  
Career Skills

Community engagement is a phenomenon that has received increasing attention among institutions of higher learning in recent years, and students engaging with communities are generally seen as beneficial. Given this, surprisingly little is known about this form of engagement in Australian higher education, let alone methods to measure its benefits on students. This study discussed the development of the Student Community Engagement Benefits Questionnaire (SCEBS), a questionnaire that measures the perceptions of community engagement benefits among undergraduate students in Australia. The final questionnaire has 32 items allocated to four benefit scales: (1) Career skills, (2) Diversity skills, (3) Interpersonal skills, (4) Civic skills. Most benefit items had a factor loading of atleast 0.40 with its own scale. The results of the factor analysis revealed that the four scales accounted for 53% of the total variance. The alpha reliability coefficient for the four scales ranged from 0.79 to 0.91. Based on these findings, the Student Community Engagement Benefits Scale (SCEBS) is a valid and reliable instrument that can be used in the field of education. Undergraduate students also reported statistically significant changes in the four dimensions after participating in community engagement activities.

Gender and belief factors on attitude towards Social and Environmental Accounting (SEA)

2009 ◽  
Vol 6 (2) ◽  
pp. 51
Author(s):  
Salina Abdullah ◽  
Ern Chen Loo
Keyword(s):  
Natural Resources ◽  
Undergraduate Students ◽  
Environmental Issues ◽  
Environmental Accounting ◽  
Future Generations ◽  
Business And Society ◽  
Four Dimensions ◽  
Sustain Ability ◽  
The Relationship

Research on social and environmental accounting (SEA) has mainly concentrated on disclosure of SEA by corporate bodies, where investigations on ones attitude towards SEA are rarely discussed. SEA is a medium that develops relationships between business and society, community and nature. In addition, SEA involves a concept of sustain ability; where natural resources need to be sustained for the needs of future generations (Alhabshi et al., 2003). SEA also tries to recognise the role of accounting in sustainable development and the use of environmental resources. There are arguments that the young generations today are not fully aware of preserving these natural resources as well as handling social and environmental issues wisely. This perhaps link closely to their belief and cultural background. Hence, this paper examines the influence of gender and belief factors on the undergraduate students’ attitude towards SEA. Four dimensions of belief (fixed ability, quick learning, simple knowledge and certain knowledge) proposed by Schommer (2005) were adapted to analyse how belief factors have influence on their attitude towards SEA. An independent sample t-test was used to examine the relationship between gender and students’ attitude towards SEA. Spearmen’s correlation was employed to show the relationship between belief and attitude towards SEA. The results revealed that gender differences did not show influences on their attitude towards SEA. It was found that there is a significant relationship between belief and students’ attitude towards SEA. Students who believe on the importance of SEA tend to report positive attitude towards SEA. Perhaps findings of this study may provide some information on the SEA education and further be incorporated in the syllabus.

Four Dimensions of Diamond T: Combination Trade Marks of Colours And Shapes

2006 ◽  
Vol 37 (4) ◽  
pp. 583
Author(s):  
Michael McGowan
Keyword(s):  
Three Dimensional ◽  
Trade Mark ◽  
Fourth Dimension ◽  
Trade Marks ◽  
Four Dimensions ◽  
Trade Mark Law ◽  
Dimensional Shape ◽  
Three Dimensional Shape

This article examines the relatively new fields of colour and shape trade marks. It was initially feared by some academics that the new marks would encroach on the realms of patent and copyright.  However, the traditional requirements of trade mark law, such as functionality and descriptiveness, have meant that trade marks in colour and shape are extremely hard to acquire if they do not have factual distinctiveness. As colour and shape trade marks have no special restrictions, it is proposed that the combination trade mark theory and analysis from the Diamond T case should be used as a way to make them more accessible. The combination analysis can be easily applied because every product has a three dimensional shape and a fourth dimension of colour.

Quantifying idiosyncratic and shared contributions to stimulus evaluations

2018 ◽  
Author(s):  
Joel Eduardo Martinez ◽  
Friederike Funk ◽  
Alexander Todorov
Keyword(s):  
Repeated Measures ◽  
Variance Component ◽  
Psychological Problem ◽  
Psychological Research ◽  
Large Variability ◽  
Four Dimensions ◽  
Stimulus Evaluation ◽  
Crossed Random Effects ◽  
Novel Objects ◽  
Variance Component Estimates

A fundamental psychological problem is identifying the idiosyncratic and shared contributions to stimulus evaluation. However, there is no established method for estimating these contributions and the existing methods have led to divergent estimates. Moreover, in many studies participants rate the stimuli only once, although at least two measurements are required to estimate idiosyncratic contributions. Here, participants rated faces or novel objects on four dimensions (beautiful, approachable, likeable, dangerous) for a total of ten blocks to better estimate the preferences of individual raters. First, we show that both intra-rater and inter-rater agreement – measures related to idiosyncratic and shared contributions, respectively – increase with repeated measures. Second, to find best practices, we compared estimates from correlation indices and variance component approaches on stimulus-generality, evaluation-generality, data preprocessing steps, and sensitivity to measurement error (a largely ignored issue). The correlation indices changed monotonically and nonlinearly with more repeated measures. Variance component analyses showed large variability in estimates from only two repeated measures, but stabilized with more measures. While there was general agreement among approaches, the correlation approach was problematic for certain stimulus types and evaluation dimensions. Our results suggest that variance component estimates are more reliable as long as one collects more than two repeated measures, which is not the current norm in psychological research, and can be implemented using mixed models with crossed random effects. Recommendations for analysis and interpretations are provided.

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