scholarly journals An effective matrix model for dynamical end of the world branes in Jackiw-Teitelboim gravity

2022 ◽  
Vol 2022 (1) ◽  
Author(s):  
Ping Gao ◽  
Daniel L. Jafferis ◽  
David K. Kolchmeyer
Keyword(s):  
Matrix Model ◽  
Gravitational Theory ◽  
Effective Theory ◽  
Integration Contour ◽  
Gravitational Instantons ◽  
Model Interpretation ◽  
The World ◽  
The Matrix ◽  
End Of The World ◽  
New Interpretation

Abstract We study Jackiw-Teitelboim gravity with dynamical end of the world branes in asymptotically nearly AdS2 spacetimes. We quantize this theory in Lorentz signature, and compute the Euclidean path integral summing over topologies including dynamical branes. The latter will be seen to exactly match with a modification of the SSS matrix model. The resolution of UV divergences in the gravitational instantons involving the branes will lead us to understand the matrix model interpretation of the Wilsonian effective theory perspective on the gravitational theory. We complete this modified SSS matrix model nonperturbatively by extending the integration contour of eigenvalues into the complex plane. Furthermore, we give a new interpretation of other phases in such matrix models. We derive an effective W(Φ) dilaton gravity, which exhibits similar physics semiclassically. In the limit of a large number of flavors of branes, the effective extremal entropy S0,eff has the form of counting the states of these branes.

scholarly journals Field equations of massless fields in the new interpretation of the matrix model

2007 ◽  
Vol 767 (1-2) ◽  
pp. 82-99 ◽  
Author(s):  
Ko Furuta ◽  
Masanori Hanada ◽  
Hikaru Kawai ◽  
Yusuke Kimura
Keyword(s):  
Matrix Model ◽  
Field Equations ◽  
The Matrix ◽  
New Interpretation ◽  
Massless Fields

scholarly journals MATRIX MODEL FOR NONCOMMUTATIVE GRAVITY AND GRAVITATIONAL INSTANTONS

2004 ◽  
Vol 19 (02) ◽  
pp. 227-247 ◽  
Author(s):  
P. VALTANCOLI
Keyword(s):  
Gauge Group ◽  
Matrix Model ◽  
Equations Of Motion ◽  
Einstein Equations ◽  
Spin Connection ◽  
Metric Tensor ◽  
Gravitational Instantons ◽  
The Matrix ◽  
Noncommutative Gravity ◽  
Set Up

We introduce a matrix model for noncommutative gravity, based on the gauge group U (2)⊗ U (2). The vierbein is encoded in a matrix Yμ, having values in the coset space U (4)/( U (2)⊗ U (2)), while the spin connection is encoded in a matrix Xμ, having values in U (2)⊗ U (2). We show how to recover the Einstein equations from the θ→0 limit of the matrix model equations of motion. We stress the necessity of a metric tensor, which is a covariant representation of the gauge group in order to set up a consistent second order formalism. We finally define noncommutative gravitational instantons as generated by U (2)⊗ U (2) valued quasi-unitary operators acting on the background of the matrix model. Some of these solutions have naturally self-dual or anti-self-dual spin connections.

scholarly journals An optimised credit scorecard to enhance cut-off score determination

2018 ◽  
Vol 21 (1) ◽  
Author(s):  
Nico Kritzinger ◽  
Gary W. Van Vuuren
Keyword(s):  
Matrix Model ◽  
Credit Scoring ◽  
Retail Banking ◽  
Dimensional Model ◽  
Statistical Tool ◽  
One Dimensional ◽  
Study Results ◽  
The World ◽  
The Matrix ◽  
Scoring Matrix

Background: Credit scoring is a statistical tool allowing banks to distinguish between good and bad clients. However, literature in the world of credit scoring is limited. In this article parametric and non-parametric statistical techniques that are used in credit scoring are reviewed. Aim: To build an optimal credit scoring matrix model to predict which clients will go bad in the future. This article also illustrates the use of the credit scoring matrix model to determine an appropriate cut-off score on a more granular level. Setting: Data used in this article are based on a bank in South Africa and are Retail Banking specific. Methods: The methods used in this article were regression, statistical analysis, matrix and comparative study. Results: The matrix provides uplift in the Gini-coefficient when compared to a one-dimensional model and provides greater granularity when setting the appropriate cut-off. Conclusion: The article provides steps to construct a credit scoring matrix model to optimise separation between good and bad clients. An added contribution of the article is the manner in which the credit scoring matrix model provides a greater granularity option for establishing the cut-off score for accepting clients, more appropriately than a one-dimensional scorecard.

The Book of Tribulations: The Syrian Muslim Apocalyptic Tradition'

2017 ◽  
Author(s):  
David Cook ◽  
Nu'aym b. Hammad al-Marwazi
Keyword(s):  
Civil Wars ◽  
The World ◽  
End Of The World ◽  
To Come

“The Book of Tribulations by Nu`aym b. Hammad al-Marwazi (d. 844) is the earliest Muslim apocalyptic work to come down to us. Its contents focus upon the cataclysmic events to happen before the end of the world, the wars against the Byzantines, and the Turks, and the Muslim civil wars. There is extensive material about the Mahdi (messianic figure), the Muslim Antichrist and the return of Jesus, as well as descriptions of Gog and Magog. Much of the material in Nu`aym today is utilized by Salafi-jihadi groups fighting in Syria and Iraq.

The Disinherited in Shakespeare’s Plays

Moreana ◽  
2008 ◽  
Vol 45 (Number 173) (1) ◽  
pp. 167-174
Author(s):  
Peter Milward
Keyword(s):  
William Shakespeare ◽  
Historical Record ◽  
English History ◽  
The World ◽  
End Of The World

In conjunction with the current “revisionism” of English history from a Catholic viewpoint, it is time to undertake a corresponding revision of the plays and personality of William Shakespeare. For this purpose it is not enough to rest content with the meagre historical record, but we have to go ahead in the light of recusant history with a reinterpretation of the plays, considering the extent to which they lend themselves to the Catholic viewpoint. This is not merely a matter of nostalgia for the mediaeval past, but it looks above all to the present sufferings of the “disinherited” English Catholics — in the light of the continued presence of Christ who is suffering, as Pascal famously noted, in his faithful even till the end of the world.

The World after the End of the World

2017 ◽  
Vol 39 (2) ◽  
pp. 265-276 ◽  
Author(s):  
Kas Saghafi
Keyword(s):  
The Other ◽  
The World ◽  
History Of ◽  
The Absolute ◽  
End Of The World

In several late texts, Derrida meditated on Paul Celan's poem ‘Grosse, Glühende Wölbung’, in which the departure of the world is announced. Delving into the ‘origin’ and ‘history’ of the ‘conception’ of the world, this paper suggests that, for Derrida, the end of the world is determined by and from death—the death of the other. The death of the other marks, each and every time, the absolute end of the world.

Slavery and the Trumpocene: It's Not the End of the World

2019 ◽  
Vol 41 (1) ◽  
pp. 40-50
Author(s):  
Claire Colebrook
Keyword(s):  
Living System ◽  
Racial Violence ◽  
First Century ◽  
The West ◽  
The Earth ◽  
The World ◽  
End Of The World ◽  
Twenty First Century ◽  
Geological Period

There is something more catastrophic than the end of the world, especially when ‘world’ is understood as the horizon of meaning and expectation that has composed the West. If the Anthropocene is the geological period marking the point at which the earth as a living system has been altered by ‘anthropos,’ the Trumpocene marks the twenty-first-century recognition that the destruction of the planet has occurred by way of racial violence, slavery and annihilation. Rather than saving the world, recognizing the Trumpocene demands that we think about destroying the barbarism that has marked the earth.

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