Novel Aspects in p-Brane Theories Weyl-Invariant Light-Like(8)

We consider a novel class of Weyl-conformally invariant p-brane theories which describe intrinsically light-like branes for any odd world-volume dimension, hence the acronym WILL-branes (Weyl-Invariant Light-Like branes). We discuss in some detail the prop

ν √

(56)

(brane)Tµν

FortheWILL-membranesubsystemwecanuseinsteadoftheaction(53)itsdualone(similartothesimplercaseEq.(8)versusEq.(23)):

dualSWILL brane= FρκFσλGρσGκλ,4 (4) x X(σ)δ3Φ( )γab aXκ bXλ,≡ GµκGνλdσ G µ3(4)x X(σ)εabcFbc aXµ.j≡qdσδ(57)(58)1 γγab( aX bX),

isgivenby:(59)wherethevariablebranetensionχ≡

χ(γ,u,A)≡ Φ( ) γ

2χ(γ,u,A)√

2γcd( cX dX) ( au qAa)( bu qAb)

γγab( bu qAb)

√ γγab bXµ+χ(γ,u,A)

r,forr<r0≡rhorizon=2GM1.(66)

Reissner-Norstr¨omblackholeoutsidethehorizon:

A(r)≡A+(r)=1 2GM2

r2,forr>r0≡rhorizon,(67)

44whereQ2=8πq2rhorizon≡128πq2G4M1;

FortheMaxwellsubsystemwehaveA1=...=AD 1=0everywhereand:

8