Steven S. Gubser
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View article: Higher melonic theories
Higher melonic theories Open
We classify a large set of melonic theories with arbitrary q-fold interactions, demonstrating that the interaction vertices exhibit a range of symmetries, always of the form Z2n for some n, which may be 0. The number of different theories …
View article: Nonlinear sigma models with compact hyperbolic target spaces
Nonlinear sigma models with compact hyperbolic target spaces Open
We explore the phase structure of nonlinear sigma models with target spaces corresponding to compact quotients of hyperbolic space, focusing on the case of a hyperbolic genus-2 Riemann surface. The continuum theory of these models can be a…
View article: Treelike Interactions and Fast Scrambling with Cold Atoms
Treelike Interactions and Fast Scrambling with Cold Atoms Open
We propose an experimentally realizable quantum spin model that exhibits fast scrambling, based on nonlocal interactions that couple sites whose separation is a power of 2. By controlling the relative strengths of deterministic, nonrandom …
View article: Non-local non-linear sigma models
Non-local non-linear sigma models Open
A bstract We study non-local non-linear sigma models in arbitrary dimension, focusing on the scale invariant limit in which the scalar fields naturally have scaling dimension zero, so that the free propagator is logarithmic. The classical …
View article: Complexified boost invariance and holographic heavy ion collisions
Complexified boost invariance and holographic heavy ion collisions Open
At strong coupling holographic studies have shown that heavy ion collisions do not obey normal boost invariance. Here we study a modified boost invariance through a complex shift in time, and show that this leads to surprisingly good agree…
View article: Melonic theories over diverse number systems
Melonic theories over diverse number systems Open
Melonic field theories are defined over the p-adic numbers with the help of a sign character. Our construction works over the reals as well as the p-adics, and it includes the fermionic and bosonic Klebanov-Tarnopolsky models as special ca…
View article: Continuum limits of sparse coupling patterns
Continuum limits of sparse coupling patterns Open
We exhibit simple lattice systems, motivated by recently proposed cold atom experiments, whose continuum limits interpolate between real and p-adic smoothness as a spectral exponent is varied. A real spatial dimension emerges in the contin…
View article: O(N) and O(N) and O(N)
O(N) and O(N) and O(N) Open
A bstract Three related analyses of ϕ 4 theory with O(N) symmetry are presented. In the first, we review the O( N ) model over the p -adic numbers and the discrete renormalization group transformations which can be understood as spin block…
View article: Geodesic bulk diagrams on the Bruhat–Tits tree
Geodesic bulk diagrams on the Bruhat–Tits tree Open
Geodesic bulk diagrams were recently shown to be the geometric objects which\ncompute global conformal blocks. We show that this duality continues to hold in\n$p$-adic AdS/CFT, where the bulk is replaced by the Bruhat-Tits tree, an\ninfini…
View article: Gapped fermions in top-down holographic superconductors
Gapped fermions in top-down holographic superconductors Open
We use holography to compute spectral functions of certain fermionic\noperators in three different finite-density, zero-temperature states of ABJM\ntheory with a broken U(1) symmetry. In each of the three states, dual to\npreviously studie…
View article: A $p$-adic version of AdS/CFT
A $p$-adic version of AdS/CFT Open
In this summary of my talk at Strings 2016, I explain how classical dynamics on an infinite tree graph can be dual to a conformal field theory defined over the $p$-adic numbers. An informal introduction to $p$-adic numbers is followed by a…
View article: Evolution of segmented strings
Evolution of segmented strings Open
Here, I explain how to evolve segmented strings in de Sitter and anti-de Sitter spaces of any dimension in terms of forward-directed null displacements. The evolution is described entirely in terms of discrete hops which do not require a c…
View article: Segmented strings and the McMillan map
Segmented strings and the McMillan map Open
We present new exact solutions describing motions of closed segmented strings in AdS 3 in terms of elliptic functions. The existence of analytic expressions is due to the integrability of the classical equations of motion, which in our exa…
View article: Perturbations of vortex ring pairs
Perturbations of vortex ring pairs Open
We study pairs of co-axial vortex rings starting from the action for a\nclassical bosonic string in a three-form background. We complete earlier work\non the phase diagram of classical orbits by explicitly considering the case\nwhere the c…
View article: Fermionic response in finite-density ABJM theory with broken symmetry
Fermionic response in finite-density ABJM theory with broken symmetry Open
We calculate fermionic response in domain wall backgrounds of\nfour-dimensional gauged supergravity interpolating between distinct stable AdS\nvacua. The backgrounds, found by Bobev et al., are holographically dual to\nzero-temperature sta…