scholarly journals String integrability of defect CFT and dynamical reflection matrices

2021 ◽  
Vol 2021 (5) ◽  
Author(s):  
Georgios Linardopoulos ◽  
Konstantin Zarembo

Abstract The D3-D5 probe-brane system is holographically dual to a defect CFT which is known to be integrable. The evidence comes mainly from the study of correlation functions at weak coupling. In the present work we shed light on the emergence of integrability on the string theory side. We do so by constructing the double row transfer matrix which is conserved when the appropriate boundary conditions are imposed. The corresponding reflection matrix turns out to be dynamical and depends both on the spectral parameter and the string embedding coordinates.

2008 ◽  
Vol 67 (2) ◽  
pp. 99-114
Author(s):  
Pieter-Jan Van Bosstraeten

Op 11 oktober 1978 splitste de Belgische Socialistische Partij zich als laatste van de drie unitaire partijen op in twee autonome partijen. Langs Franstalige zijde werd éénzijdig de Parti Socialiste opgericht, twee jaar later volgde de Socialistische Partij. De splitsing vormde het eindpunt van een lange en bewogen geschiedenis van de socialistische eenheidspartij.Ondanks het feit dat heel wat auteurs reeds een licht hebben geworpen op de belangrijkste gebeurtenis uit de na-oorlogse geschiedenis van de BSP, is het antwoord op de vraag naar de oorzaken van de splitsing vrij eenduidig. Overwegend wordt aangenomen dat de splitsing van de BSP het gevolg is van een moeilijke samenwerking in het kader van het communautaire dossier. Andere oorzaken worden amper aangehaald, of onvoldoende verduidelijkt. Tevens wordt slechts het politiek-tactische aspect van het communautaire dossier uitvoerig besproken. In de bestaande literatuur wordt zo goed als nergens dieper ingegaan op de inhoudelijke elementen die binnen de partij problemen teweegbrachten.Onderzoek van twee cruciale documenten heeft de mogelijkheid geboden het verhaal van de splitsing beter te reconstrueren. Daarbij is gebleken dat de splitsing van de partij in een ruimer kader dient te worden geïnterpreteerd dan het communautaire dossier. Aan de splitsing van de partij ging een lang proces van autonomisering en vleugelvorming vooraf. Bovendien werd aangetoond dat de problematiek inzake het Egmont-Stuyvenbergpact niet de enige directe oorzaak vormde voor de splitsing van de partij, in de periode 1977-1978. Enkele andere oorzaken hebben daartoe eveneens bijgedragen.________The division of the Belgian Socialist Party. Two explanatory documentsOn 11 October 1978 the Belgian Socialist Party divided into two autonomous parties, the last of the three unitary parties to do so. First the French speaking section unilaterally founded the ‘Parti Socialiste’, two years later the ‘Socialistische Partij’ followed. The division constituted the termination of the long and eventful history of the socialist unitary party.In spite of the fact that many authors have already shed light on the most important event from the post-war history of the BSP, the answer to the question about the causes for the division are fairly unequivocal. The majority of opinions favour the view that the division of the BSP was the consequence of the difficulty of collaborating within the framework of the community dossier. Other causes are hardly cited, or insufficiently elucidated. Moreover only the politico-tactical aspect of the community dossier is discussed in detail. The existing literature hardly ever carries out a more thorough examination of the intrinsic elements that caused problems within the party.The investigation of the two crucial documents has offered the opportunity to provide a better reconstruction of the division. This showed that the division of the party should be interpreted within a larger framework than the community dossier alone. A long process of autonomisation and the formation of political wings preceded the division of the party. It also demonstrated that the issues concerning the Egmont-Stuyvenberg pact were not the only direct cause for the division of the party, during the period 1977-1978. There were several other causes that also contributed to this division.


2021 ◽  
Vol 2021 (3) ◽  
Author(s):  
Tadashi Okazaki ◽  
Douglas J. Smith

Abstract We derive general BPS boundary conditions in two-dimensional $$ \mathcal{N} $$ N = (2, 2) supersymmetric gauge theories. We analyze the solutions of these boundary conditions, and in particular those that allow the bulk fields to have poles at the boundary. We also present the brane configurations for the half- and quarter-BPS boundary conditions of the $$ \mathcal{N} $$ N = (2, 2) supersymmetric gauge theories in terms of branes in Type IIA string theory. We find that both A-type and B-type brane configurations are lifted to M-theory as a system of M2-branes ending on an M5-brane wrapped on a product of a holomorphic curve in ℂ2 with a special Lagrangian 3-cycle in ℂ3.


2021 ◽  
Vol 2021 (8) ◽  
Author(s):  
Bartomeu Fiol ◽  
Alan Rios Fukelman

Abstract We derive the planar limit of 2- and 3-point functions of single-trace chiral primary operators of $$ \mathcal{N} $$ N = 2 SQCD on S4, to all orders in the ’t Hooft coupling. In order to do so, we first obtain a combinatorial expression for the planar free energy of a hermitian matrix model with an infinite number of arbitrary single and double trace terms in the potential; this solution might have applications in many other contexts. We then use these results to evaluate the analogous planar correlation functions on ℝ4. Specifically, we compute all the terms with a single value of the ζ function for a few planar 2- and 3-point functions, and conjecture general formulas for these terms for all 2- and 3-point functions on ℝ4.


2021 ◽  
pp. 1-24
Author(s):  
Victor Crochet ◽  
Marcus Gustafsson

Abstract Discontentment is growing such that governments, and notably that of China, are increasingly providing subsidies to companies outside their jurisdiction, ‘buying their way’ into other countries’ markets and undermining fair competition therein as they do so. In response, the European Union recently published a proposal to tackle such foreign subsidization in its own market. This article asks whether foreign subsidies can instead be addressed under the existing rules of the World Trade Organization, and, if not, whether those rules allow States to take matters into their own hands and act unilaterally. The authors shed light on these issues and provide preliminary guidance on how to design a response to foreign subsidization which is consistent with international trade law.


Author(s):  
T. Önsay

Abstract The wave-mode representation is utilized to obtain a more efficient form to the conventional transfer matrix method for bending vibrations of beams. The proposed improvement is based on a phase-variable canonical state representation of the equation governing the time-harmonic flexural vibrations of a beam. Transfer matrices are obtained for external forces, step-change of beam properties, intermediate supports and for boundaries. The transfer matrices are utilized to obtain the vibration response of a point-excited single-span beam with general boundary conditions. The general characteristic equation and the transfer mobility of a single-span beam are determined. The application of the analytical results are demonstrated on physical structures with different boundary conditions. A hybrid model is developed to incorporate measured impedance of nonideal boundaries into the transfer matrix method. The analytical results are found to be in excellent agreement with experimental measurements.


2021 ◽  
pp. 002224292110530
Author(s):  
Lingrui Zhou ◽  
Katherine M. Du ◽  
Keisha M. Cutright

Consumers have grown increasingly skeptical of brands, leaving managers in a dire search for novel ways to connect. The authors suggest that focusing on one’s relationships with competitors is a valuable, albeit unexpected, way for brands to do so. More specifically, the present research demonstrates that praising one’s competitor—via “brand-to-brand praise”— often heightens preference for the praiser more so than other common forms of communication, such as self-promotion or benevolent information. This is because brand-to-brand praise increases perceptions of brand warmth, which leads to enhanced brand evaluations and choice. The authors support this theory with seven studies conducted in the lab, online, and in the field that feature multiple managerially-relevant outcomes, including brand attitudes, social media and advertising engagement, brand choice, and purchase behavior, in a variety of product and service contexts. The authors also identify key boundary conditions and rule alternative explanations, further elucidating the underlying mechanism and important implementation insights. This work contributes to our understanding of brand perception and warmth, providing a novel way for brands to connect to consumers by connecting with each other.


2021 ◽  
Vol 16 (3) ◽  
Author(s):  
Anita Naemi Holm

This article presents a theoretical view on culturally embedded thinking and action in encounters between patient and health professional. A key point of the analysis indicates that a highly efficient health sector may entail an implicit duality: on the one hand, the health professional can and often must relate pragmatically to the patient in order to solve problems and do so quickly, while on the other, the professional may be personally challenged when embedded cultural thinking leads to conflicts or dilemmas. This means that a purely pragmatic perspective will be challenged when such conflicts arise. The article looks at interrelated concepts such as ‘culture’, ‘prejudice’ and ‘meaning’ in order to shed light on the presuppositions that are brought into the cultural encounter between patient and health professional. This kind of analysis will hopefully contribute to a raised awareness of what is actually – apart from pragmatic problem solving – going on in such encounters. The conceptual framework used in this article primarily draws on the German philosopher Hans-Georg Gadamer, which is contrasted with the pragmatic perspective from the American philosopher Richard Rorty.


2012 ◽  
Vol 433-440 ◽  
pp. 3863-3869
Author(s):  
Wei Hua Zong ◽  
Ming Xin Shao ◽  
Xiao Yun Qu

The mode matching method is applied to analyze generalized ridged waveguides. The tangential fields in each region are expressed in terms of the product of several matrices, i.e., a functional matrix about x-F(x), a functional matrix about y-G(y) and a column vector of amplitudes. The boundary conditions are transformed into a set of linear equations by taking the inner products of each element of G(y) with weight functions. Two types of ridged waveguide are calculated to validate the theory. Several new modes not reported in previous analysis are presented.


2021 ◽  
pp. 0308275X2110596
Author(s):  
Matthieu Bolay ◽  
Jeanne Rey

This article situates international expatriate schools in their cultural and political economy by drawing attention to the tensions between a cosmopolitan educational ethos and processes of social, economic and legal enclavement. Based on extensive multi-sited ethnographic research in the international school sector, we show how cosmopolitan claims of openness mirror a relative closure and ‘offshore-like’ enclavement. To do so, we build upon the notions of modularity and extractivism, which we use as heuristics to analyse social and spatial practices of defining boundaries. Gazing beyond the main foundational myth of international schools, we first outline their concomitant extractive roots. Second, we shed light on the conditions of international teachers’ circulation worldwide. Third, we examine the territorial entanglements and disentanglements that characterise international schools. Finally, we investigate the tensions induced by a cosmopolitan educational ethos whose discourse of inclusion is inevitably paired with practices of exclusion.


1991 ◽  
Vol 06 (30) ◽  
pp. 2819-2826 ◽  
Author(s):  
GERALD V. DUNNE ◽  
ALBERTO LERDA ◽  
CARLO A. TRUGENBERGER

We construct exact many-body eigenstates of both energy and angular momentum for the N-anyon problem in an external magnetic field. We show that such states span the full ground state eigenspace and arise as correlation functions of Fubini-Veneziano vertex operators of string theory.


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