Higgs Phase of Gravity in String Theory - LUTh
Higgs Phase of Gravity in String Theory - LUTh
Higgs Phase of Gravity in String Theory - LUTh
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Gauge choice: φ(<br />
t , x)<br />
= t.<br />
Residual symmetry:<br />
<br />
x<br />
→<br />
<br />
x′<br />
( t,<br />
x)<br />
(Unitary gauge)<br />
Write down most general action <strong>in</strong>variant under<br />
this residual symmetry.<br />
( Action for π: undo unitary gauge!)<br />
g = +<br />
Start with flat background μν μν<br />
δh = ∂ ξ + ∂<br />
μν<br />
μ<br />
i<br />
Under residual ξ<br />
ν<br />
0 h0i<br />
0<br />
i<br />
ν<br />
ξ<br />
μ<br />
ij<br />
μν η h<br />
δh = , δ = ∂ ξ , δh<br />
= ∂ ξ + ∂ ξ<br />
00<br />
π δφ<br />
≡ =<br />
i<br />
j<br />
0<br />
j<br />
i
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