In this talk, I will describe recent progress on moduli stabilization in string theory. In particular, I will describe recently found supersymmetric AdS_4 vacua, with exponential scale separation, of type IIB string compactifications on O3/O7 orientifolds of Calabi-Yau threefolds.
In the gauge/string duality, Wilson loop operators are dual to
open string minimal surfaces anchored on the loop at the boundary of AdS.
In the simplest example, a circular Wilson loop corresponds
to an open string worldsheet with AdS2 geometry. The scattering amplitudes
of the worldsheet fluctuations are…
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Do the postulates of quantum mechanics survive in quantum gravity? The probabilistic interpretation of amplitudes, enforced by the unitarity of time evolution, is not guaranteed within the path integral formulation and has to be checked. Leveraging the gravitational path integral, we find a non-perturbative mechanism whereby a sum…
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We prove that the fluctuations of the eigenvalues converge to the Gaussian Free Field (GFF) on the unit disk. These fluctuations appear on a non-natural scale, due to strong correlations between the eigenvalues.
Then, motivated by the long time behaviour of the ODE \dot{u}=Xu, we give a precise estimate on the eigenvalue with the…
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We study a class of tree-level ansatzes for 2→2 scalar and gauge boson amplitudes inspired by stringy UV completions. These amplitudes manifest Regge boundedness and are exponentially soft for fixed-angle high energy scattering, but unitarity in the form of positive expandability of massive residues is a nontrivial consistency condition. …
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- Aaron HillmanAffiliationPrinceton UniversityPresentationTBA
- Aaron HillmanAffiliationPrinceton UniversityPresentationStringy Completions of the Standard Model from the Bottom Up
I shall review recent progress in computing D-instanton contribution to string theory amplitudes
https://theias.zoom.us/j/84116605050?pwd=VHV6VkRUM3hkM2dFSlo2QWJiUWtPdz09
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Recent studies revealed that wormhole geometries play a central role in understanding quantum gravity. After disorder-averaging over random couplings, Sachdev-Ye-Kitaev (SYK) model has a collective field description of wormhole saddles. A recent paper by Saad, Shenker, Stanford, and Yao studied the SYK model with fixed couplings and found that…
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Based on the framework proposed in 2007.00845 and 2106.10300, we present a class of lattice models of Majorana fermions, that possess two sectors of many-body scar states.
These scar states, realized as group singlets of certain large rank group, generalize the eta-pairing states and zeta states in Ferm-Hubbard model.
They…
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Global symmetries are expected to be violated in quantum gravity. The violation can be captured by nonzero scattering amplitudes with different initial and final global charges. In this talk, I will discuss such processes involving the scattering of high energy spherical shells in AdS spacetime. The focus will be to describe an explicit…
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The study of symmetry lies at the heart of various parts of physics. In equilibrium physics, symmetries are useful in classifying phases of matter and in non-equilibrium physics, they are necessary to understand the phenomenon of thermalization. Most symmetries conventionally studied in the literature are examples of so-called on-site unitary…
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Tremendous progress has been achieved during the last years in bootstrapping conformal correlators at strong coupling using analytical bootstrap methods and the AdS/CFT correspondence. In particular, the development of Lorentzian inversion formulae revealed helpful in reconstructing four-point functions. In this talk I will present how this…
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Motivated by holographic duality and the Ryu-Takyanagi formula, we ask the question, “What quantum problem are Einstein’s equations solving?” Answering this question amounts to dissecting or “deconstructing” AdS/CFT to identify the quantum-mechanical origins of spacetime and gravity. We propose a solution involving a class of dynamical…
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Tensor models exhibit a melonic large-N limit. They were first introduced in zero dimension in the context of random geometry and quantum gravity. They were then generalized in d dimensions where they give rise in the infrared to a new kind of CFTs, analytically accessible, called melonic CFTs. In the first part of the talk, I will briefly…
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Radiation emitted from evaporating black holes is highly mixed, at least for times prior to the so-called "Page time." Usually, the quantum state of the radiation is then treated as void of information. I will discuss two ways in which this early time radiation contains non-trivial quantum information. First, I will characterize (in simple…
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