A holographic dual of CFT with flavor on de Sitter space

We introduce a D7-brane probe in AdS_5 x S^5 background in a way that the 4dpart of the induced metric on D7-brane becomes 4d de-Sitter space (dS_4) insideAdS_5 instead of 4d Minkowski space. Although supersymmetry is completelybroken, we obtain a static configuration and show the absence of dynamicaltachyonic modes. Following holographic renormalization we renormalize theDirac-Born-Infeld action of D7-brane and we completely fix the counter termsincluding finite contributions from the consistency under various limits.Through the AdS/CFT correspondence we study the chiral condensate and mesonspectrum of CFT dual theory on dS_4 where the energy scale is identified withthe direction normal to dS_4 space in AdS_5. We identify and properly reproducethe finite temperature effects on dS_4. Our results support the holographicinterpretation of the Randall-Sundrum model with non fine-tuned dS_4 brane(s)and the holography between AdS_p (or dS_p) bulk gravity and CFT on dS_{p-1}called the (A)dS/dS correspondence.Comment: 19 pages, 8 figures; v2: comments added, references added, typos correcte