Calendar
- 31March 31, 2023
CMSA Quantum Matter in Mathematics and Physics: A Plane Defect in the 3d O(N) Model
20 Garden Street, Cambridge, MA 02138It was recently found that the classical 3d O(N) model in the semi-infinite geometry can exhibit an “extraordinary-log” boundary universality class, where the spin-spin correlation function on the boundary falls off as (log x)^(-q). This universality class exists for a range 2≤N<Nc and Monte-Carlo simulations and conformal bootstrap indicate Nc>3. In this talk, I’ll extend this result to the 3d O(N) model in an infinite geometry with a plane defect. I’ll explain using the renormalization group (RG) that the extraordinary-log universality class is present for any finite N≥2, and that a line of defect fixed points is present at N=∞. This line of defect fixed points is lifted to the ordinary, special (no defect) and extraordinary-log universality classes by
1/N corrections. I’ll show that the line of defect fixed points and the 1/N corrections agree with an a-theorem by Jensen and O’Bannon for 3d CFTs with a boundary. Finally, I’ll conclude by noting some physical systems where the extraordinary-log universality class can be observed.
This seminar offers the option to attend by Zoom. For information on how to join, please see:Quantum Matter in Mathematics and Physics (QMMP) 2023:
https://cmsa.fas.harvard.edu/event_category/quantum-matter- seminar/ ——–
Subscribe to Harvard CMSA Quantum Matter and other seminar videos
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https://www.youtube.com/playlist?list= PL0NRmB0fnLJQAnYwkpt9PN2PBKx4r vdup Subscribe to Harvard CMSA seminar mailing list:
https://forms.gle/1ewa7KeP6BxBuBeRA CMSA Quantum Matter in Mathematics and Physics: A Plane Defect in the 3d O(N) Model
20 Garden Street, Cambridge, MA 02138It was recently found that the classical 3d O(N) model in the semi-infinite geometry can exhibit an “extraordinary-log” boundary universality class, where the spin-spin correlation function on the boundary falls off as (log x)^(-q). This universality class exists for a range 2≤N<Nc and Monte-Carlo simulations and conformal bootstrap indicate Nc>3. In this talk, I’ll extend this result to the 3d O(N) model in an infinite geometry with a plane defect. I’ll explain using the renormalization group (RG) that the extraordinary-log universality class is present for any finite N≥2, and that a line of defect fixed points is present at N=∞. This line of defect fixed points is lifted to the ordinary, special (no defect) and extraordinary-log universality classes by
1/N corrections. I’ll show that the line of defect fixed points and the 1/N corrections agree with an a-theorem by Jensen and O’Bannon for 3d CFTs with a boundary. Finally, I’ll conclude by noting some physical systems where the extraordinary-log universality class can be observed.
This seminar offers the option to attend by Zoom. For information on how to join, please see:Quantum Matter in Mathematics and Physics (QMMP) 2023:
https://cmsa.fas.harvard.edu/event_category/quantum-matter- seminar/ ——–
Subscribe to Harvard CMSA Quantum Matter and other seminar videos
(more to be uploaded):
https://www.youtube.com/playlist?list= PL0NRmB0fnLJQAnYwkpt9PN2PBKx4r vdup Subscribe to Harvard CMSA seminar mailing list:
https://forms.gle/1ewa7KeP6BxBuBeRA Special Lecture on Complex Analysis/Probability Theory: "Jordan curves with piecewise geodesic property"
1 Oxford Street, Cambridge, MA 02138 USAThis talk will concern cyclic chains of arcs on the Riemann sphere such that each arc is a hyperbolic geodesic in the complement of the remaining arcs.
Location: Science Center 507 at 1:30pm on Friday, March 31st.
Please see the seminar page for more details: https://www.math.harvard.edu/~ctm/sem