the space of circle (2k+1)-bundles with connection (given by cocycles in degree 2k+22k+2 ordinary differential cohomology). “I don’t have any morons comparable to DMS and similar stuff. By the way, can you show that the medal was given him for a specific paper? In (Hopkins-Singer 05) is discussed a way to make sense of the further division in general if one passes to a certain notion of twisted differential cohomology.

I often wonder if he is some kind of LQG activist using obvious reverse psychology on his readers to repulse them from strings- becasue that is what happens most of the time!

This contains the above simplified configuration space as the subspace of (2k+1)(2k+1)-connections whose underlying circle (2k+1)(2k+1)-bundle is trivial.

Dmitriy Belov, Greg Moore, Type II Actions from 11-Dimensional Chern-Simons Theories (arXiv:hep-th/0611020) Higher Chern-Simons (super)gravity There are various discussions identifying or conjecturing higher dimensional Chern-Simons theories as parts of or related to gravity and supergravity . In his String2014 "vision talk" Physical Mathematics and the Future Greg Moore in section 5.1 lists some ideas of how to capture the 6d (2,0)-SCFT, only to conclude (on p. 28) that, As stressed to me by Edward Witten, thanks to the AdS/CFT correspondence, we do have an understanding of the complete solution of the theory in the large rank limit for su(N) theories, In the limit in which the Chern-Simons terms in the dual 7d theory dominate this even becomes essentially a mathematical precise definition, where the partition function of the 6d theory is obtained from the geometric quantization of the 7d Chern-Simons theory in direct higher analogy to how the 2d WZW model arises from 3d Chern-Simons theory (CS3/WZW2 correspondence). This prevents him from seeing all new important connections between these subjects that were found between 1989 and 2004.”, “Moreover, it’s just incredibly silly if someone judges the importance of ideas according to some fictitious links between a specific paper and some medal.”, “Moreover, this CS story is just one of tens of important examples how string theory – not just “field theory” – influences math. How many susy is there preserved? In his String2014 "vision talk" Physical Mathematics and the Future Greg Moore in section 5.1 lists some ideas of how to capture the 6d (2,0)-SCFT, only to conclude (on p. 28) that. Replacing this by q λ:x↦x 2+λxq^{\lambda} : x \mapsto x^2 + \lambda x for some real number λ\lambda means keeping the shape of the form, but shifting its minimum from 0 to −12λ-\frac{1}{2}\lambda. Vive les cordes! We discuss how the above definition arises as a special case of the general notion of infinity-Chern-Simons theory. where now the integral is fiber integration in ordinary differential cohomology and in the integrand we have the cup product in ordinary differential cohomology of differential cocycles. Edward Witten first conjectured the existence of such a theory at a string-theory conference at the University of Southern California in the spring of 1995. Recall that for \mathfrak{g} a Lie algebra (not necessarily abelian) with non-generate binary invariant polynomial ⟨−,−⟩\langle -,-\rangle, the corresponding infinity-Chern-Simons theory QFT is ordinary Chern-Simons theory in dimension 3. The abelian higher dimensional Chern-Simons theories in dimension 4k+34k+3 are the special case of this general situation where. We first give the simple local definition and then the full global definition. Therefore the fields themselves need to constitute a twisted λ\lambda-structure. The electron rest mass,symbolized me,as measured when its speed is zero relative to an observer? I would like to understand Robert’s position very well. This lost contact with reality in science also implies that even in 2004, Peter Woit writes entries on his blog that are very far from being up-to-date.

Abstract. This of course only makes sense if XX is such that λ\lambda is further divisible by 2, which we will assume now. By placing the theory on a torus with coordinates $x_5,x_6$ you can consider strings wrapping these directions. While this is a conversation written by physicists for physicists, it should nonetheless be of interest for Edge readers as it’s in the context of previous Edge features with the authors, it’s instructive as to how science is done, and it’s a debate that clarifies, not detracts. But it never seemed to have any obvious connection to the Standard Model and its pattern of internal symmetries. SMOLIN VS. SUSSKIND: THE ANTHROPIC PRINCIPLE.

Toutes-vous avez des excrements entre des oreilles! Einstein did it for the last thirty years of his life, and we would have those from the quantum mechanical perspective who would of thought Einstein Senile? Witten tries to find a supersymmetric QFT that will do what Atiyah wants, but initially doesn’t succeed. This deserve a reminder from time to time. For instance the degree-4 Wu class (for k=1k = 1) is refined by the first fractional Pontryagin class 12p 1\frac{1}{2}p_1. http://www-spires.slac.stanford.edu/spires/find/hep/www?rawcmd=FIND+A+WOIT%2CP+and+date+before+2000. Here $\mathbb{R}^{0,1} \subset \mathbb{R}^{3,1}$ (i.e. What Operator is the Superconformal Index Counting? String theory isn’t mentioned. The supergravity C-field is an example of a general phenomenon of higher abelian Chern-Simons QFTs in the presence of background charge. But this work was done around 1980, long before Witten got interested in string theory.

Both are special cases of infinity-Chern-Simons theory. My understanding is, if this happens 3 times in the same month, Einstein’s ghost will tear the universe a new nether region and we’ll all be sucked through it into the missing 11 dimensions, in a process called “Calabi YEOW”. Voulez-vous des pommes frites avec cela? Here we think of the analogy with a quadratic form q:x↦x 2q : x \mapsto x^2 on the real numbers (a parabola in the plane). A certain symmetry?:)Etc. :) Why do you think Susskind wrong or Smolin wrong? Leading to the undertsanding of kinetic potential values would say to me that the evolution of this instrument, is a continued effort of understanding Mercuries orbits?

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