Papers by Veronica Pasquarella
arXiv (Cornell University), Apr 11, 2024
This introductory work combines bottom-up and top-down approaches towards understanding the under... more This introductory work combines bottom-up and top-down approaches towards understanding the underlying categorical structure of possible unifying theories descending from string theory. Guided by well-established developments in the realm of categorical algebraic geometry, we explain why abelianisation could potentially lead to furthering the understanding of how to embed Beyond the Standard Model scenarios in supersymmetric setups.
arXiv (Cornell University), Dec 10, 2023
Based on recent advancements in algebraic geometry, algebraic topology, and higher-categorical st... more Based on recent advancements in algebraic geometry, algebraic topology, and higher-categorical structures, we show how ground state degeneracies in closed stratified manifolds can be used for describing class S theories whose AGT dual requires generalised Moore-Segal bordism operators lacking reparametrisation-invariance.
arXiv (Cornell University), Oct 1, 2023
We propose a generalisation of the Moore-Tachikawa varieties for the case in which the target cat... more We propose a generalisation of the Moore-Tachikawa varieties for the case in which the target category of the 2D TFT is a hyperkähler quotient. The setup requires generalising the bordism operators of Moore and Segal to the case involving lack of reparametrisation-invariance on the Riemann surface, ultimately enabling to relate this to the issue of defining a Drinfeld center for composite class S theories.
Vacuum Transitions in Two-Dimensions and their Holographic Interpretation
arXiv (Cornell University), Nov 14, 2022
arXiv (Cornell University), May 29, 2023
Exploiting the symmetry topological field theory/topological order correspondence (SymTFT/TO), to... more Exploiting the symmetry topological field theory/topological order correspondence (SymTFT/TO), together with the higher-categorical structure of 6D N =(2,0) SCFTs, we prove that the total quantum dimension of the relative condensation algebra leading to intrinsic non-invertible symmetries between class S theories is greater with respect to the non-intrinsic case. From a higher-categorical perspective, this supports the idea that multiplicity is allowed to exceed unity in some superselection sectors.
Fortschritte der Physik, Aug 20, 2020
Quantum transitions among de Sitter and Minkowski spacetimes through bubble nucleation are revisi... more Quantum transitions among de Sitter and Minkowski spacetimes through bubble nucleation are revisited using the Hamiltonian formalism. We interpret tunnelling probabilities as relative probabilities: the ratio of the squared wave functionals P = |Ψ N | 2 |Ψ B | 2 , with Ψ B,N solutions of the Wheeler-DeWitt equation corresponding to the spacetimes N and B, gives the probability of nucleating the state N relative to the probability of having the state B. We find that the transition amplitude from de Sitter to de Sitter for both up-and down-tunnelling agrees with the original result based on Euclidean instanton methods. Expanding on the work of Fischler, Morgan and Polchinski we find that the Minkowski to de Sitter transition is possible as in the original Euclidean approach of Farhi, Guth and Guven. We further generalise existing calculations by computing the wave function away from the turning points for the classical motion of the wall in de Sitter to de Sitter transitions. We address several challenges for the viability of the Minkowski to de Sitter transition, including consistency with detailed balance and AdS/CFT. This sets this transition on firmer grounds but opens further questions. Our arguments also validate the Coleman-De Luccia formulae in the presence of gravity since it has no issues involving negative eigenmodes and other ambiguities of the Euclidean approach. We briefly discuss the implications of our results for early universe cosmology and the string landscape.
arXiv (Cornell University), Jun 21, 2023
The present work shows that magnetic quivers encode the necessary information for determining the... more The present work shows that magnetic quivers encode the necessary information for determining the Drinfeld center in the symmetry topological field theory constructions (SymTFT) associated to a given absolute theory. The crucial argument resides in their common aim of generalising homological mirror symmetry.
Journal of High Energy Physics
We calculate amplitudes for 2D vacuum transitions by means of the Euclidean methods of Coleman-De... more We calculate amplitudes for 2D vacuum transitions by means of the Euclidean methods of Coleman-De Luccia (CDL) and Brown-Teitelboim (BT), as well as the Hamiltonian formalism of Fischler, Morgan and Polchinski (FMP). The resulting similarities and differences in between the three approaches are compared with their respective 4D realisations. For CDL, the total bounce can be expressed as the product of relative entropies, whereas, for the case of BT and FMP, the transition rate can be written as the difference of two generalised entropies. By means of holographic arguments, we show that the Euclidean methods, as well as the Lorentzian cases without non-extremal black holes, provide examples of an AdS2/CFT1 ⊂ AdS3/CFT2 correspondence. Such embedding is not possible in the presence of islands for which the setup corresponds to AdS2/CFT1 ⊄ AdS3/CFT2. We find that whenever an island is present, up-tunnelling is possible.
Fortschritte der Physik, 2020
Quantum transitions among de Sitter and Minkowski spacetimes through bubble nucleation are revisi... more Quantum transitions among de Sitter and Minkowski spacetimes through bubble nucleation are revisited using the Hamiltonian formalism. We interpret tunnelling probabilities as relative probabilities: the ratio of the squared wave functionals P = |Ψ N | 2 |Ψ B | 2 , with Ψ B,N solutions of the Wheeler-DeWitt equation corresponding to the spacetimes N and B, gives the probability of nucleating the state N relative to the probability of having the state B. We find that the transition amplitude from de Sitter to de Sitter for both up-and down-tunnelling agrees with the original result based on Euclidean instanton methods. Expanding on the work of Fischler, Morgan and Polchinski we find that the Minkowski to de Sitter transition is possible as in the original Euclidean approach of Farhi, Guth and Guven. We further generalise existing calculations by computing the wave function away from the turning points for the classical motion of the wall in de Sitter to de Sitter transitions. We address several challenges for the viability of the Minkowski to de Sitter transition, including consistency with detailed balance and AdS/CFT. This sets this transition on firmer grounds but opens further questions. Our arguments also validate the Coleman-De Luccia formulae in the presence of gravity since it has no issues involving negative eigenmodes and other ambiguities of the Euclidean approach. We briefly discuss the implications of our results for early universe cosmology and the string landscape.
Journal of Holography Applications in Physics, 2023
We propose a generalization of the Moore-Tachikawa varieties for the case in which the target cat... more We propose a generalization of the Moore-Tachikawa varieties for the case in which the target category of the 2D TFT is a hyperkähler quotient. The setup requires generalizing the bordism operators of Moore and Segal to the case involving lack of reparametrization-invariance on the Riemann surface, ultimately enabling to relate this to the issue of dening a Drinfeld center for composite class S theories.
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Papers by Veronica Pasquarella