Susskind - Templeton-3-17-final - Stanford Institute … · String Theory is an “S-matrix” theory. It requires asymptotically cold boundaries. Flat supersymmetric backgrounds?

Anne Warren

StringTheoryisan“S-matrix”theory.Itrequiresasymptoticallycoldboundaries.

Flatsupersymmetricbackgrounds?Yes

AntideSitterspace?Yes

deSitterspace?No

Whatcanwelearnfromblackholes?

AdS BlackHole deSitterspace

Nointeractionbetweenleftandrightbutentanglement.

AdS

deSitter

Butsomethinggrows

Butsomethinggrows

Butit’snotentropy.

Butsomethinggrows

Butit’snotentropy.

Computationalcomplexitygrowslongafterthermalequilibriumwhenentropyreachesitsmaximum.

Computationalcomplexityofquantumstate=ActionofWheelerDeWittpatch.

Itgrowslinearlywith(boundary)time.

Action=Mt

SamefordeSitter?Notquite.

FliptodeSitter

Actiongrowsas

Λ� t

Hatsareterminal.

Freivogel,Sekino,LS

𝐴𝑐𝑡𝑖𝑜𝑛 = 𝑚,t

𝐴𝑚𝑝𝑙𝑖𝑡𝑢𝑑𝑒 = 𝑒2345

𝐹𝑇 = 8 𝑒2 39: 5 =1

𝑚 − 𝜔(𝑚 = 𝑚,)@

A

Note:𝑚, isslightlycomplex.

Theneutronisaresonanceinascatteringamplitude.

𝐴𝑐𝑡𝑖𝑜𝑛 ≈ Λ� 𝑡

𝐴𝑚𝑝 = 𝑒2 C� 5

𝐹𝑇 = ∫ 𝑑𝑡𝑒2 C� 9: 5 =1

𝜔 − Λ�

deSitterasaResonanceJonathanMaltz,LS

Note:Lambdaslightlycomplex(ColemanDeLuccia)

AdeSittervacuumisametastablestatethatmanifestsitselfasapoleinatransitionamplitudeconnectingstateswithasymptoticallyflat(supersymmetric)boundaryconditions.