347 citations · 731 across the 26 of their papers we have counts for
30 papers · 1 filter
Liouville Theory and the Weil-Petersson Geometry of Moduli Space
Sarah M. Harrison, Alexander Maloney, Tokiro Numasawa
Liouville theory describes the dynamics of surfaces with constant negative curvature and can be used to study the Weil-Petersson geometry of the moduli space of Riemann surfaces. T…
Snowmass White Paper: Moonshine
Sarah M. Harrison, Jeffrey A. Harvey, Natalie M. Paquette
We present a brief overview of Moonshine with an emphasis on connections to physics. Moonshine collectively refers to a set of phenomena connecting group theory, analytic number th…
3-Manifolds and VOA Characters
Miranda C. N. Cheng, Sungbong Chun, Boris Feigin +4
By studying the properties of -series -invariants, we develop a dictionary between 3-manifolds and vertex algebras. In particular, we generalize previously known ent…
BPS Algebras in 2D String Theory
Sarah M. Harrison, Natalie M. Paquette, Daniel Persson +1
We discuss a set of heterotic and type II string theory compactifications to 1+1 dimensions that are characterized by factorized internal worldsheet CFTs of the form $V_1\otimes \b…
Fun with
Sarah M. Harrison, Natalie M. Paquette, Daniel Persson +1
We study some special features of , the holomorphic superconformal field theory (SCFT) given by 24 chiral free fermions. We construct eight different Lie superalgebr…
Minimal Models: A Holographic Needle in a Symmetric Orbifold Haystack
Alexandre Belin, Nathan Benjamin, Alejandra Castro +2
We explore large- symmetric orbifolds of the minimal models, and find evidence that their moduli spaces each contain a supergravity point. We identify single-trac…
3d Modularity
Miranda C. N. Cheng, Sungbong Chun, Francesca Ferrari +2
We find and propose an explanation for a large variety of modularity-related symmetries in problems of 3-manifold topology and physics of 3d theories where such str…
A Borcherds-Kac-Moody superalgebra with Conway symmetry
Sarah M. Harrison, Natalie M. Paquette, Roberto Volpato
We construct a Borcherds Kac-Moody (BKM) superalgebra on which the Conway group Co acts faithfully. We show that the BKM algebra is generated by the BRST-closed states in a chi…
Properties of extremal CFTs with small central charge
Francesca Ferrari, Sarah M. Harrison
We analyze aspects of extant examples of 2d extremal chiral (super)conformal field theories with . These are theories whose only operators with dimension smaller or equal…
K3 Elliptic Genus and an Umbral Moonshine Module
Vassilis Anagiannis, Miranda C. N. Cheng, Sarah M. Harrison
Umbral moonshine connects the symmetry groups of the 23 Niemeier lattices with 23 sets of distinguished mock modular forms. The 23 cases of umbral moonshine have a uniform relation…
Attractive Strings and Five-Branes, Skew-Holomorphic Jacobi Forms and Moonshine
Miranda C. N. Cheng, John F. R. Duncan, Sarah M. Harrison +3
We show that certain BPS counting functions for both fundamental strings and strings arising from fivebranes wrapping divisors in Calabi--Yau threefolds naturally give rise to skew…
Symmetries of the refined D1/D5 BPS spectrum
Nathan Benjamin, Sarah M. Harrison
We examine the large 1/4-BPS spectrum of the symmetric orbifold CFT Sym deformed to the supergravity point in moduli space for and . We consider refinement…
K3 String Theory, Lattices and Moonshine
Miranda C. N. Cheng, Sarah M. Harrison, Roberto Volpato +1
In this paper we address the following two closely related questions. First, we complete the classification of finite symmetry groups of type IIA string theory on $K3\times \mathbb…
Heterotic sigma models on and the Borcherds automorphic form
Sarah M. Harrison, Shamit Kachru, Natalie M. Paquette +2
We consider the spectrum of BPS states of the heterotic sigma model with supersymmetry and target, as well as its second-quantized counterpart. We show that the count…
Extremal chiral SCFT with
Sarah M. Harrison
We construct an extremal chiral superconformal field theory with central charge 24 from a orbifold of the chiral bosonic theory with target $\mathbb R^…
Landau-Ginzburg Orbifolds and Symmetries of K3 CFTs
Miranda C. N. Cheng, Francesca Ferrari, Sarah M. Harrison +1
Recent developments in the study of the moonshine phenomenon, including umbral and Conway moonshine, suggest that it may play an important role in encoding the action of finite sym…
Equivariant K3 Invariants
Miranda C. N. Cheng, John F. R. Duncan, Sarah M. Harrison +1
In this note, we describe a connection between the enumerative geometry of curves in K3 surfaces and the chiral ring of an auxiliary superconformal field theory. We consider the in…
Exceptional Algebra and Sporadic Groups at c=12
Miranda C. N. Cheng, Sarah M. Harrison, Shamit Kachru +1
In earlier works, it was seen that a orbifold of the theory of 24 free two-dimensional chiral fermions admits various sporadic finite simple groups as global symmet…
On the elliptic genera of manifolds of Spin(7) holonomy
Nathan Benjamin, Sarah M. Harrison, Shamit Kachru +2
Superstring compactification on a manifold of Spin(7) holonomy gives rise to a 2d worldsheet conformal field theory with an extended supersymmetry algebra. The supe…
Towards a Holographic Bose-Hubbard Model
Mitsutoshi Fujita, Sarah Harrison, Andreas Karch +2
We present a holographic construction of the large-N Bose-Hubbard model. The model is based on Maxwell fields coupled to charged scalar fields on the AdS2 hard wall. We realize the…
Mock Modular Mathieu Moonshine Modules
Miranda C. N. Cheng, Xi Dong, John F. R. Duncan +3
We construct super vertex operator algebras which lead to modules for moonshine relations connecting the four smaller sporadic simple Mathieu groups with distinguished mock modular…
Umbral Moonshine and K3 Surfaces
Miranda C. N. Cheng, Sarah Harrison
Recently, 23 cases of umbral moonshine, relating mock modular forms and finite groups, have been discovered in the context of the 23 even unimodular Niemeier lattices. One of the 2…
Twining Genera of (0,4) Supersymmetric Sigma Models on K3
Sarah Harrison, Shamit Kachru, Natalie M. Paquette
Conformal field theories with (0,4) worldsheet supersymmetry and K3 target can be used to compactify the E8xE8 heterotic string to six dimensions in a supersymmetric manner. The da…
Crystalline Scaling Geometries from Vortex Lattices
Ning Bao, Sarah Harrison
We study magnetic geometries with Lifshitz and/or hyperscaling violation exponents (both with a hard wall cutoff in the IR and a smooth black brane horizon) which have a complex sc…