6,141 reputation
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bio website ncatlab.org/nlab/show/…
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I am a postdoc in mathematics, but have my degree in theoretical physics. My work is about mathematical structures motivated from quantum field theory and string theory. For more see here.


Nov
16
awarded  Announcer
Nov
15
answered Etale bundles and sheaves
Nov
15
revised SUSY's Critical role in String Theory
fixed a link
Nov
15
answered SUSY's Critical role in String Theory
Nov
13
awarded  Nice Answer
Nov
10
comment How algebraic geometry and motives appears in physics?
For the appearance of motivic Galois groups in perturbative quantization see Connes-Marcolli's textbook ncatlab.org/nlab/show/… . For the appearance of generalized pure motives in higher geometric quantization see this thesis: ncatlab.org/schreiber/show/master+thesis+Nuiten .
Nov
7
awarded  Announcer
Nov
7
comment How algebraic geometry and motives appears in physics?
More details and more references are on the nLab at ncatlab.org/nlab/show/motives+in+physics .
Nov
7
revised How algebraic geometry and motives appears in physics?
fixed typos
Nov
7
revised How algebraic geometry and motives appears in physics?
deleted 1 characters in body
Nov
7
answered How algebraic geometry and motives appears in physics?
Oct
9
awarded  Yearling
Sep
22
answered Is there a proof from the first principle that the Lagrangian L = T - V?
Sep
22
awarded  Necromancer
Sep
20
comment Global Chern-Simons forms and topological gauge theories
Okay, I have added a second part to the reply above with some comments on how this relates to Yang-Mills.
Sep
20
revised Global Chern-Simons forms and topological gauge theories
added 3111 characters in body, added reply to comments on how this relates to Yang-Mills
Sep
20
revised Global Chern-Simons forms and topological gauge theories
added 3111 characters in body
Sep
20
comment Global Chern-Simons forms and topological gauge theories
The difference with the Yang-Mills Lagrangian 4-form is that this happens to always be globally defined right away! This is becaus it is built only from the curvatures. The curvatures transform in the adjoint under gauge transformation, and the invariant form $\langle -,-\rangle$ that defines the (topological)YM-Lagrangian (the Killing form,the trace) $\langle F_{A_i} \wedge F_{A_i}\rangle$ is precisely such as to guarantee that on double overlaps we have an actual equality $\langle F_{A_i} \wedge F_{A_i}\rangle = \langle F_{A_j} \wedge F_{A_j}\rangle$. I'll add a comment to the above reply
Sep
18
revised Global Chern-Simons forms and topological gauge theories
deleted 2 characters in body
Sep
18
answered Global Chern-Simons forms and topological gauge theories