7–10 Apr 2025
IGAP/ICTP - Trieste (ITALY)
Europe/Rome timezone

Geometric Approach to Symmetries at Finite Temperature

7 Apr 2025, 14:30
35m
Budinich Lecture Hall (ICTP, Leonardo da Vinci Building) (IGAP/ICTP - Trieste (ITALY))

Budinich Lecture Hall (ICTP, Leonardo da Vinci Building)

IGAP/ICTP - Trieste (ITALY)

Strada Costiera 11, 34151 Trieste (Italy)

Speaker

Jonathan Heckman

Description

Symmetry operators of quantum field theories (QFTs) engineered via stringy backgrounds arise from "branes wrapped at infinity" which topologically link with operators and defects of the QFT. In this talk we show how to calculate the thermal expectation values of symmetry operators in holographic CFTs using the geometry of the gravity dual. Expectation values of zero-form symmetry operators in the CFT are related to branes wrapped on volume minimizing cycles in the bulk, namely the Euclidean continuation of a black hole horizon. We illustrate with a few examples, including duality / triality defects as engineered by bound states of [p,q] 7-branes, and R-symmetries as engineered by metric isometries.

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