Results 1 to 10 of about 333 (49)
Survey of mathematical foundations of QFT and perturbative string theory [PDF]
, 2011 Recent years have seen noteworthy progress in the mathematical formulation of quantum field theory and perturbative string theory. We give a brief survey of these developments.
Sati, Hisham, Schreiber, Urs
core +9 more sources
Bose-Fermi Transformation In Three Dimensional Space [PDF]
, 1993 A generalization of the Jordan-Wigner transformation to three (or higher) dimensions is constructed. The nonlocal mapping of spin to fermionic variables is expressed as a gauge transformation with topological charge equal to one.
Huerta, Luis, Zanelli, Jorge
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Loop Spaces and Connections [PDF]
, 2011 We examine the geometry of loop spaces in derived algebraic geometry and extend in several directions the well known connection between rotation of loops and the de Rham differential.
Ben-Zvi, David, Nadler, David
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The cotangent complex and Thom spectra [PDF]
, 2020 We first prove, in the context of $\infty$-categories and using Goodwillie's calculus of functors, that various definitions of the cotangent complex of a map of $E_\infty$-ring spectra that exist in the literature are equivalent.
Rasekh, Nima, Stonek, Bruno
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Quantization of Field Theories Generalizing Gravity-Yang-Mills Systems on the Cylinder [PDF]
, 1994 Pure gravity and gauge theories in two dimensions are shown to be special cases of a much more general class of field theories each of which is characterized by a Poisson structure on a finite dimensional target space.
A. Ashtekar +14 more
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Spinning Braid Group Representation and the Fractional Quantum Hall Effect [PDF]
, 1992 The path integral approach to representing braid group is generalized for particles with spin. Introducing the notion of {\em charged} winding number in the super-plane, we represent the braid group generators as homotopically constrained Feynman kernels.
Balachandran +42 more
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The WZW term of the M5-brane and differential cohomotopy
, 2015 We combine rational homotopy theory and higher Lie theory to describe the WZW term in the M5-brane sigma model. We observe that this term admits a natural interpretation as a twisted 7-cocycle on super-Minkowski spacetime with coefficients in the ...
Fiorenza, Domenico +2 more
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Rational motivic path spaces and Kim's relative unipotent section conjecture
, 2018 We initiate a study of path spaces in the nascent context of "motivic dga's", under development in doctoral work by Gabriella Guzman. This enables us to reconstruct the unipotent fundamental group of a pointed scheme from the associated augmented motivic
Dan-Cohen, Ishai, Schlank, Tomer
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On the Lie algebroid of a derived self-intersection
, 2014 Let $i:X\hookrightarrow Y$ be a closed embedding of smooth algebraic varieties. Denote by $N$ the normal bundle of $X$ in $Y$. We describe the construction of two Lie-type structures on the shifted bundle $N[-1]$ which encode the information of the ...
Calaque, Damien +2 more
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Combinatorial Descent Data for Gerbes
, 2014 We consider descent data in cosimplicial crossed groupoids. This is a combinatorial abstraction of the descent data for gerbes in algebraic geometry. The main result is this: a weak equivalence between cosimplicial crossed groupoids induces a bijection ...
Yekutieli, Amnon
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