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If long wavelength primordial tensor modes are coupled to short wavelength scalar modes, the scalar curvature two-point function will have an off-diagonal component.
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L. Dai, D. Jeong, and M. Kamionkowski, Seeking Inflation Fossils in the Cosmic Microwave Background
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D. Jeong and F. Schmidt, Large-Scale Structure with Gravitational Waves I: Galaxy Clustering
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F. Schmidt and D. Jeong, Large-Scale Structure with Gravitational Waves II: Shear
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D. Jeong and M. Kamionkowski, Clustering Fossils from the Early Universe
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I. Agullo and S. Shandera, Large non-Gaussian Halo Bias from Single Field Inflation
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A. Aravind, D. Lorshbough, and S. Paban, Non-Gaussianity from Excited Initial Inflationary States
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