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TF1 Snowmass Report: Quantum gravity, string theory, and black holes
Daniel Harlow, Shamit Kachru, Juan Maldacena +35
We give an overview of the field of quantum gravity, string theory and black holes summarizing various white papers in this subject that were submitted as part of the Snowmass proc…
Fractons and exotic symmetries from branes
Hao Geng, Shamit Kachru, Andreas Karch +2
The emerging study of fractons, a new type of quasi-particle with restricted mobility, has motivated the construction of several classes of interesting continuum quantum field theo…
Flux Modularity, F-Theory, and Rational Models
Shamit Kachru, Richard Nally, Wenzhe Yang
In recent work, we conjectured that Calabi-Yau threefolds defined over and admitting a supersymmetric flux compactification are modular, and associated to (the Tate tw…
Holographic non-Fermi liquids at large
Shamit Kachru, Milind Shyani
Motivated by the results of Dynamical Mean Field Theory, we study the two-point function of fermions moving in a charged black brane background in in the limit of large…
K3 metrics
Shamit Kachru, Arnav Tripathy, Max Zimet
We provide an explicit construction of Ricci-flat K3 metrics. It employs the technology of D-geometry, which in the case of interest is equivalent to a hyper-Kähler quotient. We re…
Supersymmetric Flux Compactifications and Calabi-Yau Modularity
Shamit Kachru, Richard Nally, Wenzhe Yang
Flux compactification of IIB string theory associates special points in Calabi-Yau moduli space to choices of (pairs of) integral three-form fluxes. In this paper, we propose that…
de Sitter Vacua from Ten Dimensions
Shamit Kachru, Manki Kim, Liam McAllister +1
We analyze the de Sitter construction of \cite{KKLT} using ten-dimensional supergravity, finding exact agreement with the four-dimensional effective theory. Starting from the fermi…
Semiclassical Entropy of BPS States in 4d Theories and Counts of Geodesics
Shamit Kachru, Richard Nally, Arnav Tripathy +1
We relate a number of results in the theory of flat surfaces to BPS spectra of a class of 4d supersymmetric quantum field theories arising from M5 branes wrapped on…
Black holes and Bhargava's invariant theory
Murat Gunaydin, Shamit Kachru, Arnav Tripathy
Attractor black holes in type II string compactifications on are in correspondence with equivalence classes of binary quadratic forms. The discriminant of the quadr…
Distributions of extremal black holes in Calabi-Yau compactifications
George Hulsey, Shamit Kachru, Sungyeon Yang +1
We study non-supersymmetric extremal black hole excitations of 4d N=2 supersymmetric string vacua arising from compactification on Calabi-Yau threefolds. The values of the (vector…
K3 metrics from little string theory
Shamit Kachru, Arnav Tripathy, Max Zimet
Certain six-dimensional (1,0) supersymmetric little string theories, when compactified on , have moduli spaces of vacua given by smooth K3 surfaces. Using ideas of Gaiotto-Moo…
A comment on 4d and 5d BPS states
Shamit Kachru, Max Zimet
We discuss a phenomenon in supersymmetric field theory and string theory whereby compactifying one of the dimensions of spacetime on an arbitrarily large circle can cause BPS state…
A comment on effective field theories of flux vacua
Shamit Kachru, Sandip Trivedi
We discuss some basic aspects of effective field theory applied to supergravity theories which arise in the low-energy limit of string theory. Our discussion is particularly releva…
Recounting Special Lagrangian Cycles in Twistor Families of K3 Surfaces. Or: How I Learned to Stop Worrying and Count BPS States
Shamit Kachru, Arnav Tripathy, Max Zimet
We consider asymptotics of certain BPS state counts in M-theory compactified on a K3 surface. Our investigation is parallel to (and was inspired by) recent work in the mathematics…
Higher genus Siegel forms and multi-center black holes in N=4 supersymmetric string theory
Frederik Denef, Shamit Kachru, Zimo Sun +1
We conjecture that the Fourier coefficients of a degree three Siegel form, , count the degeneracy of three-center BPS bound states in type II string theory compact…
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…
BPS jumping loci are automorphic
Shamit Kachru, Arnav Tripathy
We show that BPS jumping loci -- loci in the moduli space of string compactifications where the number of BPS states jumps in an upper semi-continuous manner -- naturally appear as…
Black Holes and Hurwitz Class Numbers
Shamit Kachru, Arnav Tripathy
We define a natural counting function for BPS black holes in compactification of type II string theory, and observe that it is given by a weight 3/2 mock modular fo…
Counting spinning dyons in maximal supergravity: The Hodge-elliptic genus for tori
Nathan Benjamin, Shamit Kachru, Arnav Tripathy
We consider -theory compactified on and describe the count of spinning -BPS states. This refines the classic count of Maldacena-Moore-Strominger in the phy…
BPS jumping loci and special cycles
Shamit Kachru, Arnav Tripathy
We study BPS jumping loci, or the subloci in moduli spaces of supersymmetric string vacua where BPS states come into existence discontinuously. This phenomenon is distinct from wal…
The hidden symmetry of the heterotic string
Shamit Kachru, Arnav Tripathy
We propose that Borcherds' Fake Monster Lie algebra is a broken symmetry of heterotic string theory compactified on . As evidence, we study the fully flavored count…
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…
The Hodge-elliptic genus, spinning BPS states, and black holes
Shamit Kachru, Arnav Tripathy
We perform a refined count of BPS states in the compactification of M-theory on , keeping track of the information provided by both the and angul…
Nonsupersymmetric dualities from mirror symmetry
Shamit Kachru, Michael Mulligan, Gonzalo Torroba +1
We study supersymmetry breaking perturbations of the simplest dual pair of 2+1-dimensional N = 2 supersymmetric field theories -- the free chiral multiplet and N = 2 super-QED with…