Skip to main content

All Questions

Filter by
Sorted by
Tagged with
1 vote
0 answers
48 views

Question on gamma matrices

Let $(M,g)$ be a pseudo-Riemannian spin manifold and let us denote by $S$ the spinor bundle, i.e. the associated vector bundle with respect to the spin representation. Usually, the "gamma ...
B.Hueber's user avatar
  • 1,171
0 votes
0 answers
134 views

Positive mass theorem and Seiberg-Witten equations

Apologies for not a very rigorous question. I came across this PhD thesis by XIAO ZHANG, a student of Yau. From the thesis: "We also investigate some basic facts on Spin$^c$ structure on $4$-...
Partha's user avatar
  • 954
19 votes
2 answers
4k views

Exact Definition of Dirac Operator

Many definitions of the Dirac operator in the tradition of the Physics literature are hard to grasp for a mathematician. I would like to ask for a precise, general, definition of the Dirac operator ...
Jjm's user avatar
  • 2,091
4 votes
1 answer
1k views

Conformal Killing spinors

In general I would like to know about the significance of conformal Killing spinors (especially keeping in mind supersymmetric theories on curved space-time). If $\epsilon$ and the $\bar{\epsilon}$ ...
Anirbit's user avatar
  • 3,541