Chiral algebras of class S and symplectic varieties

• Tomoyuki Arakawa

Room: Auditorium CSSB, bldg. 15

The superconformal bootstrap

• Christopher Beem

Room: Auditorium CSSB, bldg. 15

Moonshine

• Miranda Cheng

Room: Auditorium CSSB, bldg. 15

Tensor Networks in Low and High Energy Physics

• Ignacio Cirac

Room: Auditorium CSSB, bldg. 15

Anomaly and symmetry-protected critical phases

• Masaki Oshikawa

Room: Auditorium CSSB, bldg. 15

Departure to the Planetarium Hamburg Room: Shuttle bus from the CSSB, bldg. 15

Quantum entanglement in many-body systems

• Shinsei Ryu

Room: Auditorium CSSB, bldg. 15

Quantum information and holography

• Michael Walter

Room: Auditorium CSSB, bldg. 15

Topology, duality, and quantum criticality

• Senthil Todadri

Room: Auditorium CSSB, bldg. 15

Skein module valued open Gromov-Witten invariants and large N duality

• Tobias Eckholm

Room: Auditorium CSSB, bldg. 15 From the perspective of topological string, holomorphic curves in a Calabi-Yau 3-fold ending on a Lagrangian deforms the Chern-Simons theory on the Lagrangian. Mathematically this can be interpreted as open Gromov-Witten invariants with values in the skein module of the Lagrangian. We discuss this definition and show how it combined with a specific deformation of the complex structure known as stretching gives a rather direct proof of large N duality for knots in the three sphere.

Periods and quasiperiods of modular forms and D-brane masses of the quintic

• Albrecht Klemm

Room: Auditorium CSSB, bldg. 15 We consider one complex structure parameter mirror families $W$ of Calabi-Yau 3-folds with Picard-Fuchs equations of hypergeometric type. By mirror symmetry the even D-brane masses of the orginal Calabi-Yau $M$ can be identified with four periods w.r.t. to an integral symplectic basis of $H_3(W,Z)$ at the point of maximal unipotent monodromy. It was discovered by Chad Schoen in 1986 that the singular fibre of the quintic at the conifold point gives rise to a Hecke eigen form of weight four $f_4$ on $\Gamma_0(25)$ whose Fourier coefficients $a_p$ are determined by counting solutions in that fibre over the finite field $\mathbb{F}_{p^k}$. The D-brane masses at the conifold are given by the transition matrix $T_{mc}$ between the integral symplectic basis and a Frobenius basis at the conifold. We predict and verify to very high precision that the entries of $T_{mc}$ relevant for the D2 and D4 brane masses are given by the two periods (or L-values) of $f_4$. These values also determine the behaviour of the Weil-Petersson metric and its curvature at the conifold. Moreover we describe a notion of quasi periods and find that the two quasi period of $f_4$ appear in $T_{mc}$. We extend the analysis to the other hypergeometric one parameter 3-folds and comment on simpler applications to local Calabi-Yau 3-folds and polarized K3 surfaces.

Lessons from six dimensions for geometry, the string landscape/swampland, and the nature of matter

• Washington Taylor

Room: Auditorium CSSB, bldg. 15 The geometrical formulation of string theory through "F-theory" provides a nonperturbative framework that connects geometry with the physics of gauge theories and matter fields coupled to supergravity. In six dimensions, this has led to new insights into the global structure of the "landscape" of supergravity theories and string theory vacua, has provided new mathematical results on Calabi-Yau geometries and mirror symmetry, and shows that certain gauge groups and matter content are "generic" in physical theories, and that while some exotic matter structures can be fine tuned in string theory, most gauge groups and matter representations cannot arise in string vacua. This talk describes many of these developments and some of their implications for four dimensional physics, the standard model and dark matter.

Gauge theory from Geometry

• Sakura Schäfer-Nameki

Room: Auditorium CSSB, bldg. 15

Quantum Gravity and the Swampland

• Gary Shiu

Room: Auditorium CSSB, bldg. 15

Swampland Constraints on High Energy Physics

• Irene Valenzuela

Room: Auditorium CSSB, bldg. 15

A Stringy Test of the Weak Gravity Conjecture

• Timo Weigand

Room: Auditorium CSSB, bldg. 15

W-supergravity

• Dieter Luest

Room: Auditorium CSSB, bldg. 15