Calculating the Higgs mass in string theory
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72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS↗
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Two 6D origins of 4D SCFTs: Class S and 6D (1, 0) on a torus
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72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS↗
T duality and hints of generalized geometry in string α ′ corrections
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72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS↗
Natural F-theory constructions of standard model structure from E 7 flux breaking
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72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS↗
T-duality building blocks for α ′ string corrections
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71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSIC↗
Generalized symmetries of nonsupersymmetric orbifolds
We determine generalized symmetries for 4D theories engineered via type II strings on nonsupersymmetric orbifold backgrounds ℝ 3,1 × ℝ 6 /Γ. Probe branes detect generalized symmetries via the adjacency matrix for fermionic degrees of freedom in an associated quiver gauge theory. In situations where the tachyons are sequestered away from the boundary 𝑆 5 /Γ, this exactly matches the result extracted from singular homology. In situations with an unsequestered tachyon which stretches out to the boundary, the presence of tachyonic pulses partitions up the space into several distinct sectors, and the net contribution again matches with the answer expected via quiver methods. For IIA backgrounds, the presence of a localized closed string tachyon leads to transitions in the spectrum of states, generalized symmetries, higher-group symmetries, as well as the level matrix of the associated symmetry topological field theory (SymTFT). For IIB backgrounds with a stack of spacetime filling probe D3-branes, the onset of a radiatively generated potential leads to similar considerations involving scale dependent transitions in the symmetries of the theory, including structures such as duality defects/interfaces.
compactification↗
Cornering relative symmetry theories
The symmetry data of a 𝑑-dimensional quantum field theory (QFT) can often be captured in terms of a higher-dimensional symmetry topological field theory. In top-down (i.e., stringy) realizations of this structure, the QFT in question is localized in a higher-dimensional bulk. In many cases of interest, however, the associated (𝑑+1)-dimensional bulk is not fully gapped and one must instead consider a filtration of theories to reach a gapped bulk in 𝐷 =𝑑 + 𝑚 dimensions. Overall, this leads us to a nested structure of relative symmetry theories which descend to coupled edge modes, with the original QFT degrees of freedom localized at a corner of this 𝐷-dimensional bulk system. We present a bottom-up characterization of this structure and also show how it naturally arises in a number of string-based constructions of QFTs with both finite and continuous symmetries.
M-theory↗
SUSY in silico: Numerical D-brane bound state spectroscopy
We numerically construct here the supersymmetric and non-supersymmetric wave functions of an $\mathcal{N}=4$ quiver quantum mechanics with two Abelian nodes and a single arrow. This model captures the dynamics of a pair of wrapped D-branes interacting via a single light string mode. A dimensionless parameter ${\nu}$, which is inversely proportional to the Fayet-Iliopoulos parameter, controls whether the bulk of the wave functions are supported on the Higgs branch or the Coulomb branch. We demonstrate how the supersymmetric and excited states morph as ${\nu}$ is tuned. We also numerically compute the energy gap between the ground state and the first excited states as a function of ${\nu}$. An expression for the gap, computed on the Coulomb branch, matches nicely with our numerics at large ${\nu}$ but deviates at small ${\nu}$ where the Higgs branch becomes the relevant description of the physics. In the appendix, we provide the Schrödinger equations fully reduced via symmetries which, in principle, allow for the numerical determination of the entire spectrum at any point in moduli space. For the ground states, this numerical determination of the spectrum can be thought of as the first in silico check of various Witten index calculations.
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS↗
Exploring the spectrum of regularized bosonic string theory
We implement a UV regularization of the bosonic string by truncating its mode expansion and keeping the regularized theory “as diffeomorphism invariant as possible.” We compute the regularized determinant of the 2d Laplacian for the closed string winding around a compact dimension, obtaining the effective action in this way. The minimization of the effective action reliably determines the energy of the string ground state for a long string and/or for a large number of space-time dimensions. We discuss the possibility of a scaling limit when the cutoff is taken to infinity.
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS↗