bio | website | ncatlab.org/nlab/show/… |
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visits | member for | 5 years, 5 months |
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I am a postdoc in maths with a degree in theoretical physics. I am interested in mathematical structures in quantum field theory and string theory, see here.
Mar 23 |
awarded | Nice Answer |
Mar 11 |
awarded | Announcer |
Feb 23 |
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How to write BRST-BV for dg-Lie?
ncatlab.org/schreiber/show/derived+critical+locus |
Feb 20 |
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The groupoid of algebraic expressions and proofs
@goblin, that seems rather close in spirit to type theory ncatlab.org/nlab/show/type theory . In its flavors as homotopy type theory ncatlab.org/nlab/show/homotopy+type+theory this is precisely about groupoids whose morphisms are proofs of equivalences... and higher groupoids whose higher morphisms are proofs of equivalences of proofs of equivalences, and so on. |
Feb 19 |
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space at the Planck scale
No, this is not true for string theory. I have sent an explanation over at PhysicsOverflow: physicsoverflow.org/27295/… |
Feb 6 |
answered | Reference request: a guide through quantum probability |
Feb 5 |
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consistent orientation for functorial pull-push in generalized cohomology
Ah, right, fixed now. Thanks. |
Feb 5 |
revised |
consistent orientation for functorial pull-push in generalized cohomology
fixed trivial typo |
Jan 26 |
awarded | Nice Question |
Jan 3 |
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Reference Request for TQFTs
For mathematical supersymmetry I recommend the articles by D. Freed listed here ncatlab.org/nlab/show/… particularly the "Five lectures on supersymmetry" ncatlab.org/nlab/show/Five+lectures+on+supersymmetry and his article with Deligne ncatlab.org/nlab/show/supersymmetry#DeligneFreed99 |
Jan 3 |
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Reference Request for TQFTs
I'd suggest Witten 91 ncatlab.org/nlab/show/topological+quantum+field+theory#Witten91 and Cordes-Moore-Ramgoolam 94 ncatlab.org/nlab/show/… |
Jan 3 |
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Reference Request for TQFTs
Did you look at the original articles by Witten here ncatlab.org/nlab/show/… ? |
Jan 3 |
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Reference Request for TQFTs
A commented list of references with further pointers is here: ncatlab.org/nlab/show/… |
Dec 28 |
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pullback of Lie algebra cocycles along Cartan connections
Literature on the cocycles that I am thinking of is listed here: ncatlab.org/nlab/show/… Discussion of the need to prolong these to closed forms on curved superspace is listed here: ncatlab.org/nlab/show/… I am preparing some notes on this extension problem. Will send you more once its ready. |
Dec 27 |
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pullback of Lie algebra cocycles along Cartan connections
Thanks for your comment. My main motivating class of examples is that where $\mathfrak{g}$ is an extended super-Poincare Lie algebra and $\mathfrak{h}$ is the Lie algebra of the Lorentz group. Then $\mathfrak{g}/\mathfrak{h}$ is extended Minkowski-spacetime regarded as a super-translation Lie algebra. There are a finite number of exceptional super-Lie algebra cocycles on these, and in supergravity theory it is of key interest to prolong these to closed forms over a curved superspacetime, hence over an $(\mathfrak{h} \hookrightarrow \mathfrak{g})$-Cartan geometry. |
Dec 25 |
awarded | Announcer |
Dec 18 |
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What is torsion in differential geometry intuitively?
Further putting this all together, it seems we should say that given an $(H \to G)$-Cartan connection ncatlab.org/nlab/show/Cartan+connection (which subsumes G-structures and soldering forms) then torsion is the projection of its curvature under $\mathfrak{g}\to \mathfrak{g}/\mathfrak{h}$. |
Dec 17 |
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What, precisely, does Klein's Erlangen Program state?
Riemannian geometry (and many other types of geometries) is subsumed by the globalization of Klein geometry known as "Cartan geometry". ncatlab.org/nlab/show/Cartan+geometry |
Dec 15 |
awarded | Announcer |
Dec 11 |
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Artin L-function and Zeta function of twisted Dirac operator
John Baez points out that discussion of more analogy along these lines is in D. Brown "Lifting properties of prime geodesics" ncatlab.org/nlab/show/Selberg+zeta+function#Brown09 . On p. 9 there is a comprehensive table of pertinent analogies. |