Supersymmetric gauge field theory and string theory, d. Maldacena 235 other words, the spacetime action on this background has the form s 73 j dl0xvgr h, so we can cancel the factor of af in the metric and the newton constant, leaving a theory with a finite planck length in the limit. Na rutgerskovi univerzi je opravil podoktorski studij. Juan maldacena black holes and the structure of space. Wittens original conjecture was proved by maxim kontsevich in. Arkani hamed and jm, jm and pimentel inflation is the leading candidate for a theory that produces the primordial fluctuations. Juan maldacena, pondering quantum gravity by the pond.
Instantons and the hartlehawking maldacena proposal for dscft. Professional societies and other activities member of the world academy of sciences twas member of the national academy of sciences member of the committee for the mathematical sciences in 2025 study of the. Q, in other words for rational points on the curve. When applied to kfold symmetric products of k3 surfaces the expression is wellsuited to studying the adscft correspondence on ads3 x s3. Causalityconstraintsongraviton threepointfunc4ons juan maldacena prospectsintheore4calphysicssummerschool 2014 basedon.
On the other hand, the right hand side is related to the precise dynamics of matter and it depends on all the details of particle physics. Leta 1996 je doktoriral na univerzi princeton pod mentorstvom curtisa callana. Inflation and string theory institute for advanced study. Large n field theories, string theory and gravity o. Previously he was in the physics department at harvard university from 1997 to 2001. Professional societies and other activities member of the world academy of sciences twas member of the national academy of sciences member of the committee for the mathematical sciences in. We test the conjecture by evaluating the correlator of the stressenergy tensor in the strong coupling field theory and comparing to the string theory prediction of its behavior as a function of the distance. In theoretical physics, the antide sitterconformal field theory correspondence, sometimes called maldacena duality or gaugegravity duality, is a conjectured relationship between two kinds of physical theories. Ictp is governed by unesco, iaea, and italy, and is a unesco category 1 institute. Our numerical results support the maldacena conjecture and are within 1015% of the predicted results. He has made significant contributions to the foundations of string theory and. Sergey frolov, lax pair for strings in lunin maldacena background.
The expression also elucidates an sl2,z invariant phase diagram for the d1d5 system involving deconfining transitions in the limit as k goes to infinity. Speculative research, the kind that is fundamental to the advancement of human understanding of the world of nature and of humanity, is not a product that can be made to order. This appendix is designed only for people with the right mathematical back. His most famous discovery is the adscft correspondence, a realization of the.
Instantons and the hartlehawkingmaldacena proposal for. He is currently studying various aspects of the duality conjecture described in this article. Months ago, quanta magazine set out to photograph some of the worlds most accomplished scientists and mathematicians in their favorite places to think, tinker and create. We derive an exact expression for the fourier coefficients of elliptic genera of calabiyau manifolds. If we consider a nonsingular projective model c of the curve, then. Grand ideas have a way of turning up in unusual settings, far from an office or a chalkboard. Continuum limits of berensteinmaldacenanastase matrix. He studied physics at the university of buenos aires and earned a masters degree from. On one side are antide sitter spaces which are used in theories of quantum gravity, formulated in terms of string theory or mtheory. Comments on emergent spacetime einstein looked at his equation and he noticed that the left hand side is very beautiful and geometrical. Published version pdf, 322kb accepted version pdf, 209kb authors. Inflation and string theory juan maldacena strings 2015, bangalore based on. Juan maldacena presents at the it from qubit complexity workshop at sitp on march 22, 2017. By 2015, maldacenas article had over 10,000 citations, becoming the most highly cited article in the field of high energy physics.
The scale of inflation can be very high are there possible signatures from string. Juan maldacena institute for advanced study, eternal. On the other side of the correspondence are conformal field theories which are quantum field. The large n limit of superconformal field theories and. He has made significant contributions to the foundations of string theory and quantum gravity. In this thesis we study some applications of the gaugegravity correspondence.
Eternal black holes in ads juan maldacena institute for advanced study audio for this talk requires sound hardware, and realplayer or realaudio by realnetworks. Entangled wormholes could pave the way for quantum gravity. It should be noted that the piecewise linear or di. Dbranes have been used to describe many properties of extremal and near extremal black holes. Instead a rather detailed account is presented of a number of the most elementary aspects. Maldacena, large n field theories, string theory and gravity, prepared for conference on topics in mathematical physics, general relativity, and cosmology on the occasion of the 75th birthday of jerzy f. A more quantitative description of the economic analogy warning.
In algebraic geometry, the witten conjecture is a conjecture about intersection numbers of stable classes on the moduli space of curves, introduced by edward witten in the paper witten, and generalized in witten 1993. Abstractwe discuss the continuum limits of berenstein maldacena nastase matrix model. Formal secondperson singular usted present indicative form of conjeturar. Black holes and the structure of space time juan maldacena, blackholes, spacetime, gravitation, gravity, special relativity, quantum mechanics, einstein, equivalence. Mathematical appendix for the nancial ether juan maldacena institute for advanced study, princeton, nj 08540, usa. Maldacena considered a black hole in a model of spacetime with five macroscopic dimensionsthe socalled antide sitter space. Introduction to the maldacena conjecture on ads cft. Large n field theories, string theory and gravity o aharony, s s gubser, j maldacena, h oog pdf.