Compactification (mathematics)
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N$$ \mathcal{N} $$ = 1 supersymmetric indices and the four-dimensional A-model Open
We compute the supersymmetric partition function of $\\mathcal{N}{=}1$\nsupersymmetric gauge theories with an $R$-symmetry on $\\mathcal{M}_4 \\cong\n\\mathcal{M}_{g,p}\\times S^1$, a principal elliptic fiber bundle of degree $p$\nover a g…
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Derivation of regularized field equations for the Einstein-Gauss-Bonnet theory in four dimensions Open
We propose a regularization procedure for the novel Einstein-Gauss-Bonnet theory of gravity, which produces a set of field equations that can be written in closed form in four dimensions. Our method consists of introducing a counter term i…
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On geometric classification of 5d SCFTs Open
A bstract We formulate geometric conditions necessary for engineering 5d superconformal field theories (SCFTs) via M-theory compactification on a local Calabi-Yau 3-fold. Extending the classification of the rank 1 cases, which are realized…
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A Tower Weak Gravity Conjecture from Infrared Consistency Open
We analyze infrared consistency conditions of 3D and 4D effective field theories with massive scalars or fermions charged under multiple U (1) gauge fields. At low energies, one can integrate out the massive particles and thus obtain a one…
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Fibers add flavor. Part I. Classification of 5d SCFTs, flavor symmetries and BPS states Open
We propose a graph-based approach to 5d superconformal field theories (SCFTs) based on their realization as M-theory compactifications on singular elliptic Calabi–Yau threefolds. Fieldtheoretically, these 5d SCFTs descend from 6d N = (1, 0…
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S-folds and 4d N $$ \mathcal{N} $$ = 3 superconformal field theories Open
S-folds are generalizations of orientifolds in type IIB string theory, such\nthat the geometric identifications are accompanied by non-trivial S-duality\ntransformations. They were recently used by Garcia-Etxebarria and Regalado to\nprovid…
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Modular symmetry and non-Abelian discrete flavor symmetries in string compactification Open
We study the modular symmetry in magnetized D-brane models on $T^2$.\nNon-Abelian flavor symmetry $D_4$ in the model with magnetic flux $M=2$ (in a\ncertain unit) is a subgroup of the modular symmetry. We also study the modular\nsymmetry i…
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Unsupervised Semantic Segmentation by Distilling Feature Correspondences Open
Unsupervised semantic segmentation aims to discover and localize semantically meaningful categories within image corpora without any form of annotation. To solve this task, algorithms must produce features for every pixel that are both sem…
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Compactification of strata of Abelian differentials Open
We describe the closure of the strata of abelian differentials with\nprescribed type of zeros and poles, in the projectivized Hodge bundle over the\nDeligne-Mumford moduli space of stable curves with marked points. We provide an\nexplicit …
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Machine learning CICY threefolds Open
The latest techniques from Neural Networks and Support Vector Machines (SVM)\nare used to investigate geometric properties of Complete Intersection\nCalabi-Yau (CICY) threefolds, a class of manifolds that facilitate string model\nbuilding.…
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Non-invertible symmetries of class S theories Open
A bstract We study the non-invertible symmetries of class $$ \mathcal{S} $$ theories obtained by compactifying the type $$ {\mathfrak{a}}_{p-1} $$ 6d (2,0) theory on a genus g Riemann surface with no punctures. After setting up the general…
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Phases of 5d SCFTs from M-/F-theory on non-flat fibrations Open
We initiate the systematic investigation of non-flat resolutions of non-minimal singularities in elliptically fibered Calabi-Yau threefolds. Compactification of M-theory on these geometries provides an alternative approach to studying phas…
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1-form symmetries of 4d N=2 class S theories Open
We determine the 1-form symmetry group for any 4d $\\mathcal{N}$ = 2 class S theory constructed by compactifying a 6d $\\mathcal{N}$ =(2,0) SCFT on a Riemann surface with arbitrary regular untwisted and twisted punctures. The 6d theory has…
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Twisted circle compactifications of 6d SCFTs Open
A bstract We study 6 d superconformal field theories (SCFTs) compactified on a circle with arbitrary twists. The theories obtained after compactification, often referred to as 5 d Kaluza-Klein (KK) theories, can be viewed as starting point…
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The F-theory geometry with most flux vacua Open
Applying the Ashok-Denef-Douglas estimation method to elliptic Calabi-Yau fourfolds suggests that a single elliptic fourfold Mmax gives rise to O(10272,000) F-theory flux vacua, and that the sum total of the numbers of flux vacua from all …
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Heterotic and bosonic string amplitudes via field theory Open
A bstract Previous work has shown that massless tree amplitudes of the type I and IIA/B superstrings can be dramatically simplified by expressing them as double copies between field-theory amplitudes and scalar disk/sphere integrals, the l…
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Frozen singularities in M and F theory Open
We revisit the duality between ALE singularities in M-theory and 7-branes on a circle in F-theory. We see that a frozen M-theory singularity maps to a circle compactification involving a rotation of the plane transverse to the 7-brane, sho…
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Robust Inflation from fibrous strings Open
Successful inflationary models should (i) describe the data well; (ii) arise generically from sensible UV completions; (iii) be insensitive to detailed fine-tunings of parameters and (iv) make interesting new predictions. We argue that a c…
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Runaway quintessence, out of the swampland Open
We propose a simple, well-motivated and robust alternative to a metastable de Sitter vacuum in string theory, consistent with current observations of dark energy and naturally satisfying conjectured swampland constraints. Inflation ends in…
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A geometric dual of c-extremization Open
A bstract We consider supersymmetric AdS 3 × Y 7 and AdS 2 × Y 9 solutions of type IIB and D = 11 supergravity, respectively, that are holographically dual to SCFTs with (0 , 2) supersymmetry in two dimensions and $$ \mathcal{N} $$ = 2 sup…
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Compactification of 6D minimal SCFTs on Riemann surfaces Open
We study compactifications on Riemann surfaces with punctures of N=(1,0) 6d SCFTs with a one dimensional tensor branch and no continuous global symmetries. The effective description of such models on the tensor branch is in terms of pure g…
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Pixelated Dark Energy Open
We study the phenomenology of a recent string construction with a quantum mechanically stable dark energy. A mild supersymmetry protects the vacuum energy but also allows TeV scale superpartner masses. The construction is holographic in th…
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Maximal supersymmetry and B-mode targets Open
Extending the work of Ferrara and one of the authors, we present dynamical\ncosmological models of $\\alpha$-attractors with plateau potentials for\n$3\\alpha=1,2,3,4,5,6,7$. These models are motivated by geometric properties of\nmaximally…
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Burg-Metzner-Sachs symmetry, string theory, and soft theorems Open
We study the action of the BMS group in critical, bosonic string theory\nliving on a target space of the form $\\mathbb{M}^{d}\\times C$. Here $M^{d}$ is\n$d$-dimensional (asymptotically) flat spacetime and $C$ is an arbitrary\ncompactific…
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The median class and superrigidity of actions on CAT(0) cube complexes Open
We define a bounded cohomology class, called the median class, in the second bounded cohomology, with appropriate coefficients, of the automorphism group of a finite-dimensional CAT(0) cube complex $X$. The median class of $X$ behaves natu…
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Ends of the moduli space of Higgs bundles Open
We associate to each stable Higgs pair $(A_0,\\Phi_0)$ on a compact Riemann\nsurface $X$ a singular limiting configuration $(A_\\infty,\\Phi_\\infty)$,\nassuming that $\\det \\Phi$ has only simple zeroes. We then prove a\ndesingularization…
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Nothing is certain in string compactifications Open
A bubble of nothing is a spacetime instability where a compact dimension collapses. After nucleation, it expands at the speed of light, leaving “nothing” behind. We argue that the topological and dynamical mechanisms which could protect a …
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Twisted supergravity and its quantization Open
Twisted supergravity is supergravity in a background where the bosonic ghost field takes a non-zero value. This is the supergravity counterpart of the familiar concept of twisting supersymmetric field theories. In this paper, we give conje…
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A hyper-Kähler compactification of the intermediate Jacobian fibration associated with a cubic 4-fold Open
Let $X$ be a general cubic $4$-fold. It was observed by Donagi and Markman that the relative intermediate Jacobian fibration $\\mathcal{J}_U/U$ (with $U=(\\mathbb{P}^5)^\\vee\\setminus X^\\vee$) associated with the family of smooth hyperpl…
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Modular symmetry anomaly in magnetic flux compactification Open
We study modular symmetry anomalies in four-dimensional low-energy effective\nfield theory, which is derived from six-dimensional supersymmetric $U(N)$\nYang-Mills theory by magnetic flux compactification. The gauge symmetry $U(N)$\nis bro…