Quantum Mechanics of Fundamental Systems ppt

[...]... Institutes, of which Claudio is an honorary member Quantum Mechanics of Fundamental Systems: The Quest for Beauty and Simplicity” is the title that we have chosen for the conference This is a wink to the early days of CECS, since the physics meetings organized by Claudio in Santiago in the 1980s, when the center was just created, were precisely entitled Quantum Mechanics of Fundamental Systems. ” We... J Zanelli (eds.), Quantum Mechanics of Fundamental Systems: The Quest for Beauty and Simplicity, DOI 10.1007/978-0-387-87499-9 4, c Springer Science+Business Media LLC 2009 27 28 M Ba˜ ados n is ea = 0 (3) The existence of this solution has not gone unnoticed, e.g., [9,10,13] Its most salient property is that it preserves the full set of diffeomorphisms and for this reason it is often called the ‘unbroken’... of this divergent structure, will give us a window into the workings of M-Theory Similarly the N = 1 Yang–Mills Theory in ten dimensions [3, 4], which is the low-energy limit of the open string theory in ten dimensions has been shown to play an important L Brink Chalmers University of Technology, G¨ teborg, Sweden o e-mail: lars.brink@chalmers.se M Henneaux, J Zanelli (eds.), Quantum Mechanics of Fundamental. .. the g-factor [2] of the boundary state It is given by g(+) = √ = 2V 2 2 k1 R 2 + k2 R 2 1 2 = 2R1 R2 k1 k2 , sin2ϑ (12) where is the length of the D1-brane, V the volume of the two-torus, and the last rewriting follows from straightforward trigonometry The logarithm of the g factor is the invariant entropy of the interface Inspection of the expression (10) shows that the non-zero modes of the fields φ... doubling of spacetime after folding suggests that this may provide the natural setting in which to formulate the defect algebras Time to conclude: conformal interfaces and defects are examples of extended operators, which are a rich and still only partially-explored chapter of quantum field theory They describe a variety of critical phenomena in low-dimensional condensed-matter systems which, for lack of. .. sort of Dirac square root of gravity, for me it was the same fact, but stated as the SUGRA algebra’s relation that the Hamiltonian was the (hermitian) square of the supercharge We compared notes, calculated some more-and it held up! I was eager to publish this final validation of SUGRA as also the savior of GR stability and to finally shake the problem, while you wisely hesitated because our proof was... the entropy of all topological interfaces is non-negative, and it vanishes only for T-duality transformations and for CFT automorphisms The interfaces given by (10)–(12) exist for all values of the bulk radii R1 and R2 By choosing the radii to be equal we obtain a large set of conformal defects whose algebra is an extension of the automorphism group of the CFT For a detailed derivation of this algebra... Zanelli (eds.), Quantum Mechanics of Fundamental Systems: The Quest for Beauty and Simplicity, DOI 10.1007/978-0-387-87499-9 3, c Springer Science+Business Media LLC 2009 17 18 C.P Bachas Here s is the length along the defect worldline C, and the Hamiltonian is a hermitean n × n matrix which depends on the sigma-model fields Φ M (ζ α ) and on their first ˆ derivatives evaluated at the position of the defect... fixed-point operator is the quantum- monodromy matrix of the WZW model [4] It can be constructed explicitly, to all orders in the 1/k expansion, as a central element of the enveloping algebra of the Kac–Moody algebra [3, 32] The above renormalization-group flow describes, for G = SU(2), the screening of a magnetic impurity interacting with the left-moving spin current in a quantum wire This is the celebrated... most direct manifestation of this energy is through gravity, and in fact mc2 is a source of curvature From a Newtonian point of view, the energy of a particle at rest is zero Can we ask the same question in general relativity? Could flat space have an energy-density associated to it? In the standard choice for zero point of energy, flat space has zero energy The very definition of energy in general relativity . x0 y0 w0 h0" alt="" Quantum Mechanics of Fundamental Systems: The Quest for Beauty and Simplicity Marc Henneaux · Jorge Zanelli Editors Quantum Mechanics of Fundamental Systems: The Quest for. CECS, with support from the International Solvay Institutes, of which Claudio is an honorary member. Quantum Mechanics of Fundamental Systems: The Quest for Beauty and Sim- plicity” is the title. validation of SUGRA as also the savior of GR stability and to finally shake the problem, while you wisely hesitated because our proof was seemingly for the purely QUANTUM (because of the fermions)