Thermodynamics of Higher Spin Black Holes in AdS3_3

We discuss the thermodynamics of recently constructed three-dimensional higher spin black holes in SL(N,R)\times SL(N,R) Chern-Simons theory with generalized asymptotically-anti-de Sitter boundary conditions. From a holographic perspective, these bulk theories are dual to two-dimensional CFTs with W_N symmetry algebras, and the black hole solutions are dual to thermal states with higher spin chemical potentials and charges turned on. Because the notion of horizon area is not gauge-invariant in the higher spin theory, the traditional approaches to the computation of black hole entropy must be reconsidered. One possibility, explored in the recent literature, involves demanding the existence of a partition function in the CFT, and consistency with the first law of thermodynamics. This approach is not free from ambiguities, however, and in particular different definitions of energy result in different expressions for the entropy. In the present work we show that there are natural definitions of the thermodynamically conjugate variables that follow from careful examination of the variational principle, and moreover agree with those obtained via canonical methods. Building on this intuition, we derive general expressions for the higher spin black hole entropy and free energy which are written entirely in terms of the Chern-Simons connections, and are valid for both static and rotating solutions. We compare our results to other proposals in the literature, and provide a new and efficient way to determine the generalization of the Cardy formula to a situation with higher spin charges.Comment: 30 pages, PDFLaTeX; v2: typos corrected, explicit expressions for the free energy adde

Dynamical systems analysis of fluid transport in time-periodic vortex ring flows

It is known that the stable and unstable manifolds of dynamical systems theory provide a powerful tool for understanding Lagrangian aspects of time-periodic flows. In this work we consider two time-periodic vortex ring flows. The first is a vortex ring with an elliptical core. The manifolds provide information about entrainment and detrainment of irrotational fluid into and out of the volume transported with the ring. The likeness of the manifolds with features observed in flow visualization experiments of turbulent vortex rings suggests that a similar process might be at play. However, what precise modes of unsteadiness are responsible for stirring in a turbulent vortex ring is left as an open question. The second situation is that of two leapfrogging rings. The unstable manifold shows striking agreement with even the fine features of smoke visualization photographs, suggesting that fluid elements in the vicinity of the manifold are drawn out along it and begin to reveal its structure. We suggest that interpretations of these photographs that argue for complex vorticity dynamics ought to be reconsidered. Recently, theoretical and computational tools have been developed to locate structures analogous to stable and unstable manifolds in aperiodic, or finite-time systems. The usefulness of these analogs is demonstrated, using vortex ring flows as an example, in the paper by Shadden, Dabiri, and Marsden [Phys. Fluids 18, 047105 (2006)]

Two Disputes of Methods Three Constructivisms and Three Liberalisms. Part I

The paper proposes to reconsider the methodology and history of economics radically, whether present day mainstream or heterodox versions of it. The profession of economists must definitely abandon Cartesian dualism and adopt Vygotskian constructivism. In fact constructivist economics already existed in the past and was cognitively very successful and socially very useful. It was the economics of Gustav Schmoller’s historico-ethical school and the institutionalist economics of John R. Commons, traditions of which are totally ignored by the contemporary community of economists. The former tradition was based on Dilthey’s hermeneutics and the latter on Peirce’s pragmatism. It is worth to underline that hermeneutics and pragmatism are both predecessors of Vygotskian constructivism. During the last two decades a lot was written by economists on pragmatist, constructivist and discursive approaches to the methodology and history of economics, but those who wrote on these topics viewed them from the dualistic point of view. My paper is an appeal to economists to reconsider Methodenstreit. The dispute of methods between Schmoller and Menger can be considered as a repetition of a similar dispute taking place more than two hundred years earlier between Robert Boyle and Thomas Hobbes. Schmoller-Menger dispute started soon after the beginning of the institutionalisation of experimentally-oriented economics which happened with the creation in 1873 of the Vereinf?r Sozialpolitik. Boyle-Hobbes dispute started in 1660, when the Royal Society of London had been founded, the cradle of the institution of science. Schmoller was one of the creators of the Verein, and Boyle was one of the founders of the Royal Society. The activities of both societies were similar in several respects: they represented efforts to collect data, working out of detailed reports and collective evaluation of obtained results. For Hobbes, as for Menger, the model of ‘science’ was geometry. Boyle and Schmoller privileged collecting and analysing data. Boyle did win the dispute, Schmoller did loose. It happened because of different attitudes of powerful groups in societies towards natural scientific experimental research and experimental social research. They were interested in the former, and they saw much more danger than benefit for them in the latter. On the contrary, they were interested in abstract theoretical constructions justifying the market vision of society and laissez-faire. This kind of constructions corresponded to deeply enrooted scholastic traditions of European universities to teach theology and linked with it philosophy. In the framework of these traditions, mathematics was considered as a summit of the scientific approach. On the one hand, the adoption of constructivism by economists would turn their discipline into a science functionally close to natural sciences. On the other hand the Vygotskian constructivism, as a social and political philosophy, once accepted by economists, may lead them to become preachers of the communitarian liberalism with its emphasis on social responsibility, deliberative democracy, and discourse ethics

Framing the Game: Objections to Bapat’s Game-Theoretic Modeling of the Afghan Surge

In a recently published article in the prestigious journal Foreign Policy Analysis, Navin A. Bapat uses a rationalist approach to explain key bargaining processes related to the Afghanistan conflict, concluding that “the Afghan mission may continue for political reasons until it is impossible to sustain militarily.” The article captures the essence of the strategic situation in Afghanistan: the losing dynamic involved. This brief commentary in response is an attempt to shed light on where the tenets of Bapat’s game-theoretic model may be erroneous, even while the model does produce conclusions that appear valid overall

H.L.A. Hart’s "The concept of law" and the moderate indeterminacy thesis reconsidered

In this article the author, in the context of the fiftieth anniversary of H.L.A. Hart’s “The Concept of Law”, reconsiders the moderate indeterminacy of law thesis, which derives from the open texture of language. For that purpose, he intends: first, to analyze Hart’s moderate indeterminacy thesis, i.e. determinacy in “easy cases” and indeterminacy in “hard cases”, which resembles Aristotle’s "doctrine of the mean"; second, to criticize his moderate indeterminacy thesis as failing to embody the virtues of a center in between the vices of the extremes, by insisting that the exercise of discretion required constitutes an “interstitial” legislation; and, third, to reorganize an argument for a truly “mean” position, which requires a form of weak interpretative discretion, instead of a strong legislative discretion

Traveling Theory: The Legacy of Edward W. Said in Eastern Europe

This text is a pre-publication format made available for the University of Lodz online repository with the permission of the publisher, Éditions québécoises de l’oeuvre.This paper discusses the circulation of Edward W. Said’s concepts in Eastern Europe. In his text “Traveling Theory” Said examines intercultural translations of Western ideas for use in new historical contexts. The phenomenon of traveling applies as well to Said’s notion of Orientalism. Many researchers of Eastern Europe have applied Said’s concept to analyze post-communist societies. The cultural translation has led both to creative interpretations of Said’s thought and to an ideological voice trapped in the post-communist discourse of modernization.Cet article étudie la circulation des concepts formulés par Edward W. Said en Europe de l’Est. Dans son texte « Traveling Theory », Said analyse la traduction interculturelle d’idées occidentales en vue de leur utilisation dans de nouveaux contextes historiques. Le phénomène de traveling s’applique aussi à la notion d’orientalisme de Said. De nombreux chercheurs en Europe de l’Est ont utilisé ce concept de Sain pour analyser des sociétés postcommunistes. Cette traduction interculturelle a donné lieu à la fois à des interprétations créatrices de la pensée de Said et à une voix idéologique enfermée dans le discours postcommuniste de modernisation.This paper was supported by the Polish Ministry of Science and Higher Education through a grant to young scholars research