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Sphere Packing and Quantum Gravity
/ Hartman, Thomas (Cornell U., Phys. Dept.) ; Mazáč, Dalimil (YITP, Stony Brook ; Stony Brook U., New York, SCGP) ; Rastelli, Leonardo (YITP, Stony Brook ; CERN)
We establish a precise relation between the modular bootstrap, used to constrain the spectrum of 2D CFTs, and the sphere packing problem in Euclidean geometry. The modular bootstrap bound for chiral algebra $U(1)^c$ maps exactly to the Cohn-Elkies linear programming bound on the sphere packing density in $d=2c$ dimensions. [...]
arXiv:1905.01319.-
2019-12-05 - 68 p.
- Published in : JHEP 12 (2019) 048
Article from SCOAP3: scoap3-fulltext - PDF; scoap - PDF; Fulltext: PDF;
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Bootstrapping boundaries and branes
/ Collier, Scott (speaker) (Princeton University)
I will describe recent work with Dalimil Mazac and Yifan Wang initiating the systematic bootstrap study of conformal boundary conditions in 2d CFTs by investigation of the bootstrap equation that arises from the open-closed consistency condition of the annulus partition function with identical boundaries. We find that this deceivingly simple bootstrap equation, when combined with unitarity, leads to surprisingly strong constraints on admissible boundary states. [...]
2022 - 4126.
TH String Theory Seminar
External link: Event details
In : Bootstrapping boundaries and branes
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The sphere packing and beyond
The sphere packing and beyondA conference by Maryna Viazovska, Chair of Number Theory at EPFL,Fields Medal award recipient 2022Maryna Viazovska has been awarded a Fields Medal, a prestigious honor often described as the Nobel Prize of Mathematics, for solving the sphere-packing problem in 8 and 24 dimensions.In doing so, she resolved a question that had stumped mathematicians for more than four centuries: how to pack spheres – such as oranges stacked in a pyramid – as close together as possible.In this lecture we will talk about the history of the sphere-packing problem in different dimensions, the concept of high dimensions and its role in mathematics, and also about new unexpected connections between the sphere-packing in high dimensions and the theory of quantum gravity.In 2022, Viazovska has become only the second female Fields Medallist – after Maryam Mirzakhani in 2014 – and joins a list of over 60 mathematicians to have received the prestigious honor to date. Presentation in English | Event recordedMandatory registration Les empilements de sphère et au-delàUne conférence de Maryna Viazovska, titulaire de la Chaire d’arithmétique à l’EPFL et lauréate de la médaille FieldsMaryna Viazovska vient de recevoir la prestigieuse distinction, souvent décrite comme le prix Nobel des mathématiques, pour avoir résolu le problème de l'empilement des sphères dans les dimensions 8 et 24. Ce faisant, elle a résolu une question qui laissait les mathématiciens perplexes depuis plus de quatre siècles : comment empiler des sphères – comme des oranges empilées dans une pyramide – aussi proches que possible les unes des autres.Dans cette conférence, nous parlerons de l'histoire du problème de l'empilement des sphères dans différentes dimensions, du concept de dimensions supérieures et de son rôle en mathématiques, ainsi que des nouveaux liens inattendus entre l'empilement de sphères en dimensions supérieures et la théorie de la gravité quantique.En 2022, Maryna Viazovska est devenue la deuxième femme médaillée Fields – après Maryam Mirzakhani en 2014 – et rejoint une liste de plus de 60 mathématiciens ayant reçu cette prestigieuse distinction à ce jour. Présentation en anglais | Événement enregistréInscription obligatoire
2022 - 3536.
GLOBE - Public Events
External link: Event details
In : The sphere packing and beyond
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Conformal Field Theories in Fractional Dimensions
/ El-Showk, Sheer (IPhT, Saclay ; CERN) ; Paulos, Miguel (Brown U.) ; Poland, David (Yale U.) ; Rychkov, Slava (CERN ; Ecole Normale Superieure ; UPMC, Paris (main)) ; Simmons-Duffin, David (Princeton, Inst. Advanced Study) ; Vichi, Alessandro (LBL, Berkeley ; UC, Berkeley)
We study the conformal bootstrap in fractional space-time dimensions, obtaining rigorous bounds on operator dimensions. Our results show strong evidence that there is a family of unitary CFTs connecting the 2D Ising model, the 3D Ising model, and the free scalar theory in 4D. [...]
arXiv:1309.5089; CERN-PH-TH-2013-219; CERN-PH-TH-2013-219.-
2014-04-07 - 11 p.
- Published in : Phys. Rev. Lett. 112 (2014) 141601
APS published version, local copy: PDF; Fulltext: PDF; External link: Preprint
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Exact four point function for large $q$ SYK from Regge theory
/ Choi, Changha (SUNY, Stony Brook ; Stony Brook U., New York, SCGP) ; Mezei, Márk (Stony Brook U., New York, SCGP) ; Sárosi, Gábor (CERN)
Motivated by the goal of understanding quantum systems away from maximal chaos, in this note we derive a simple closed form expression for the fermion four point function of the large $q$ SYK model valid at arbitrary temperatures and to leading order in $1/N$. The result captures both the large temperature, weakly coupled regime, and the low temperature, nearly conformal, maximally chaotic regime of the model. [...]
arXiv:1912.00004; CERN-TH-2019-206.-
2021-05-19 - 17 p.
- Published in : JHEP 2105 (2021) 166
Article from SCOAP3: PDF; Fulltext: PDF;
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