Adjoint action of a finite loop space

New Finite Loop Space 3 adic

We construct a space BDI(4) whose mod 2 cohomology ring is the ring of rank 4 mod 2 Dickson invariants. The loop space on BDI(4) is the rst example of an exotic nite loop space at 2. We conjecture that it is also the last one. From the point of view of homotopy theory a compact Lie group G has the following remarkable combination of properties: (1) G can be given the structure of a nite CW-comp...

Finite Loop Space with Maximal Tori have Finite Weyl Groups

A New Finite Loop Space at the Prime Two

From the point of view of homotopy theory a compact Lie group G has the following remarkable combination of properties: (1) G can be given the structure of a finite CW-complex, and (2) there is a pointed space BG and a homotopy equivalence from G to the loop space QB G . Of course the space BG in (2) is the ordinary classifying space of G. In general, a finite complex X together with a chosen e...

QED Effective Action at Finite Temperature: Two-Loop Dominance

We calculate the two-loop effective action of QED for arbitrary constant electromagnetic fields at finite temperature T in the limit of T much smaller than the electron mass. It is shown that in this regime the two-loop contribution always exceeds the influence of the one-loop part due to the thermal excitation of the internal photon. As an application, we study light propagation and photon spl...

One - Loop Effective Action around De - Sitter Space ∗

⋆ Supported in part by the EEC contracts SC1-CT92-0792, CHRX-CT93-0340 and CHRXCT94-0621 and by the Greek Ministry of Research grant ΠENE∆ 91E∆358 † Laboratoire Propre du CNRS UPR A.0014 ‡ Unité Propre du CNRS associée à l’ENS et à l’Université de Paris Sud. § email: [email protected] The non-local one-loop contribution to the gravitational effective action around de Sitter space is comput...