Quantum and Gravitational Theory Group

Quantum/Gravity Seminar Series

Unless otherwise noted, seminars take place at 11:15 am on Thursdays in Abelson 333.

Fall 2024 Seminars

September 5, 2024

Gong Cheng, Virginia Tech

September 12, 2024

Title: Gravitational back-reaction is magical.
 
Abstract:  We study the interplay between magic and entanglement in quantum many-body systems. We show that non-local magic, which is supported by the quantum correlations is lower bounded by the non-flatness of entanglement spectrum and upper bounded by the amount of entanglement in the system. We then argue that a smoothed version of non-local magic bounds the hardness of classical simulations for incompressible states. In conformal field theories, we conjecture that the non-local magic should scale linearly with entanglement entropy but sublinearly when an approximation of the state is allowed. We support the conjectures using both analytical arguments based on unitary distillation and numerical data from an Ising CFT. If the CFT has a holographic dual, then we prove that the non-local magic vanishes if and only if there is no gravitational back-reaction. Furthermore, we show that non-local magic is approximately equal to the rate of change of the minimal surface area in response to the change of cosmic brane tension in the bulk.
Matthew Heydeman, Harvard

September 19, 2024

Title: Supersymmetry breaking, anomalies, and the spectrum of black holes from SYK to M-theory.

Abstract: The Bekenstein–Hawking formula gives a coarse-grained count of the number of microstates of a black hole, and it is remarkable that it may sometimes be reproduced from a microscopic count in string theory. However, the standard approach (which we will briefly review) typically relies on supersymmetry and AdS/CFT by counting special BPS states in free CFT, while the bulk is treated semiclassically. This neglects quantum effects which lead to pathologies for both supersymmetric and non-supersymmetric black holes; further, it obscures the fact that a black hole is a highly chaotic quantum system.

For black holes embedded in string theory, we will explain how a more careful treatment of the gravitational path integral using tools from JT gravity leads to predictions about the spectrum of BPS black holes (which agree with the microscopic counting), as well as the spectrum of near-BPS black holes (which obey a version of random matrix universality). Surprisingly, we find explicit examples in M-theory in which neither the Bekenstein-Hawking formula nor the supersymmetric index account for the entropy. This and other features arise from genuinely quantum mechanical aspects of black hole physics, including supersymmetry breaking, 't Hooft anomalies, and the Witten effect.  Many of these observations have an analog in SYK models, so we can see how a more conventional quantum system can reproduce the general expectations of supergravity with or without unbroken supersymmetry.

Nicolás Valdés-Meller, MIT

September 26, 2024

Title: Topological recursion for closed string field theory.

Abstract: Closed string field theory is a field theory which correctly reproduces closed string scattering amplitudes. Unfortunately, the Lagrangian for it has an infinite number of interaction terms. I'll sketch how, using ingredients from Mirzakhani's recursion applied to the recently discovered hyperbolic vertices, one can write all of the interaction terms in the Lagrangian in terms of the cubic term. Time-permitting, I will also comment on potential relations to dualities between low-dimensional string theories and matrix models.

No Seminar

October 3, 2024

Jordan Cotler, Harvard

October 10, 2024

Title: Emergent Holographic Forces from Quantum Circuits and Criticality.

Abstract: I will explain a model of the AdS/CFT correspondence that can be implemented on contemporary quantum simulators.  In particular, using extensive numerics and analytics, I will show that a specific 1+1 critical quantum spin chain has a duality with a 2+1 bulk theory possessing long-range forces that quantitatively match AdS gravity.  This duality is instantiated by a simple quantum circuit which maps the 1+1 theory to the 2+1 theory. We will explore implications for quantum gravity and discuss the role of quantum simulation.

Batoul Banihashemi, Stanford and UC Santa Cruz

October 16, 2024

Note unusual day

Title: Gravity at finite cutoff.

Abstract: I will describe thermodynamics of gravitational systems with conformal boundary conditions, where the conformal class of boundary metrics and the trace of the extrinsic curvature K are kept fixed. The main focus is on comparing the series of subextensive terms in the free energy to predictions from thermal effective field theory. We observe that while there is agreement in terms of the high temperature expansion structure, the first subextensive correction to the free energy is negative. This violates a conjectured bound on this coefficient in quantum field theory, which we interpret as a signal that gravity does not fully decouple in the putative boundary dual. I will also discuss cosmic-type solutions corresponding to negative K, and explore them further in the Einstein-Maxwell theory. These solutions are necessary for consistency with thermal effective field theory on the boundary.

No Seminar

October 24, 2024

Naomi Gendler, Harvard

October 31, 2024

Title: QCD Axion Dark Matter in String Theory.

Abstract: In this talk, I will attempt to answer the question "If we detect the QCD axion, what will we learn about string theory?" In recent years, we have observed a striking fact in the largest class of explicit compactifications of string theory: they all come with axions, and the properties of these axions correlate strongly with the number of four-dimensional "holes" in the compactification geometry. Specifically, I will show that the mass of the QCD axion in these theories increases as the number of holes increases. We can therefore use resonator and broadband searches for the QCD axion as a probe of the topology of string theory's extra dimensions. I will explain what signals from some common axion dark matter experiments (BREAD, MADMAX, ADMX, and DMRadio) would suggest about our place in the string landscape.

Vladimir Narovlansky, Princeton

November 7, 2024

Title: An SYK-like model with curious low energy behavior.

Abstract: I will discuss a disordered quantum mechanical model with interesting low energy dynamics differing from what we have in SYK. One motivation for this model is to describe black holes in Einstein gravity in higher dimensions. Indeed, the equations of this model generalize an uncontrolled truncation of the BFSS model, but correctly describe the large N limit of our model. The entropy at low energies has a non-trivial scaling with temperature, with an exponent that we calculate, and we will discuss additional unusual low temperature features in this model. We study the possibility of a spin glass phase which has been suggested in the past in a similar context.

Liza Rozenberg, Harvard

November 14, 2024

Title: 3d gravity as a random ensemble.
Abstract: We give further evidence that the matrix-tensor model studied in [arXiv:2308.03829] is dual to AdS3 gravity including the sum over topologies. This provides a 3D version of the duality between JT gravity and an ensemble of random Hamiltonians, in which the matrix and tensor provide random CFT2 data subject to a potential that incorporates the bootstrap constraints. We show how the Feynman rules of the ensemble produce a sum over all three-manifolds and how surgery is implemented by the matrix integral. The partition functions of the resulting 3d gravity theory agree with Virasoro TQFT (VTQFT) on a fixed, hyperbolic manifold. However, on non-hyperbolic geometries, our 3d gravity theory differs from VTQFT, leading to a difference in the eigenvalue statistics of the associated ensemble. As explained in [arXiv:2308.03829], the Schwinger-Dyson (SD) equations of the matrix-tensor integral play a crucial role in understanding how gravity emerges in the limit that the ensemble localizes to exact CFT’s. We show how the SD equations can be translated into a combinatorial problem about three-manifolds.
Kenneth Higginbotham, University of Colorado Boulder

November 21, 2024

Title: The backwards-forwards map: new perspectives on the black hole information paradox
Abstract: If you throw your diary into a black hole, are the words lost forever? This question is central to the black hole information paradox: an observer falling in with the diary believes the information is locked behind the horizon, while an exterior observer eventually finds it scrambled into Hawking radiation. Insights from holography allow us to construct a "holographic map" that encodes the interior description within the exterior one, though such a map must annihilate many states seen by the interior observer. In this talk, I will present the "backwards-forwards map," a candidate holographic map that incorporates both interior and exterior dynamics from qubit toy models of a black hole.
No Seminar

November 28, 2024

Zixia Wei, Harvard

December 5, 2024