Institute for Advanced Study/Princeton University Early Universe/Cosmology Lunch Discussion

Topic 1: Weak lensing: globally optimal estimator and a new probe of the high-redshift Universe Topic 2: Hidden symmetries of black holes and the vanishing of the Love numbers

Abstract 1: In recent years, weak lensing of the cosmic microwave background (CMB) has emerged as a powerful tool to probe fundamental physics. The prime target of CMB lensing surveys is the lensing potential, which is reconstructed from observed CMB temperature T and polarization E and B fields. In this talk, I will show that the classic Hu-Okamoto (HO02) estimator used for the lensing potential reconstruction is not the absolute optimal lensing estimator that can be constructed out of quadratic combinations of T, E and B fields. Instead, I will derive the global-minimum-variance (GMV) lensing quadratic estimator and show explicitly that the HO02 estimator is suboptimal to the GMV estimator.

Rapidly expanding field of the line intensity mapping (LIM) promises to revolutionise our understanding of the galaxy formation and evolution. Although primarily a tool for galaxy astrophysics, LIM technique can be used as a cosmological probe and I will point out one such application in rest of the talk. I will show that a linear combination of lensing maps from the cosmic microwave background (CMB) and from line intensity maps (LIMs) allows to exactly null the low-redshift contribution to CMB lensing, and extract only the contribution from the Universe from/beyond reionization. This would provide a unique probe of the Dark Ages, complementary with 21 cm. I will quantify the interloper bias (which is a key hurdle to LIM techniques) to LIM lensing for the first time, and derive a "LIM-pair" estimator which nulls it exactly.

Abstract 2: It is well known that asymptotically flat black holes in general relativity have a vanishing static tidal response (i.e., zero Love numbers). I will show that this is the result of a hidden structure of ladder symmetries governing static (spin 0,1,2) perturbations around black holes, and I will discuss their underlying geometric origin.

Date & Time

November 29, 2021 | 12:30pm – 2:00pm


Zoom; IAS, Bloomberg Hall, Biology Conference Room


Abhishek Maniyar and Luca Santoni

Speaker Affiliation

New York University and ICTP