Ross Dempsey
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View article: Infinite matrix product states for $(1+1)$-dimensional gauge theories
Infinite matrix product states for $(1+1)$-dimensional gauge theories Open
We present a matrix product operator construction that allows us to represent the lattice Hamiltonians of (abelian or non-abelian) gauge theories in a local and manifestly translation-invariant form. In particular, we use symmetric matrix …
View article: Higher-derivative corrections in M-theory from precision numerical bootstrap
Higher-derivative corrections in M-theory from precision numerical bootstrap Open
A bstract We study higher-derivative corrections to the graviton scattering amplitude in M-theory, via the stress tensor correlator of 3d $$ \mathcal{N} $$ = 8 U( N ) k × U( N ) – k ABJM theory (dual to graviton scattering in M-theory on…
View article: More about the lattice Hamiltonian for Adjoint QCD2
More about the lattice Hamiltonian for Adjoint QCD2 Open
A bstract In our earlier work [1], we introduced a lattice Hamiltonian for Adjoint QCD 2 using staggered Majorana fermions. We found the gauge invariant space of states explicitly for the gauge group SU(2) and used them for numerical calcu…
View article: Higher-derivative corrections in M-theory from precision numerical bootstrap
Higher-derivative corrections in M-theory from precision numerical bootstrap Open
We study higher-derivative corrections to the graviton scattering amplitude in M-theory, via the stress tensor correlator of 3d $\mathcal{N} =8$ $\text{U}(N)_k\times \text{U}(N)_{-k}$ ABJM theory (dual to graviton scattering in M-theory on…
View article: Small circle expansion for adjoint QCD2 with periodic boundary conditions
Small circle expansion for adjoint QCD2 with periodic boundary conditions Open
A bstract We study 1 + 1-dimensional SU( N ) gauge theory coupled to one adjoint multiplet of Majorana fermions on a small spatial circle of circumference L . Using periodic boundary conditions, we derive the effective action for the quant…
View article: More About the Lattice Hamiltonian for Adjoint QCD$_2$
More About the Lattice Hamiltonian for Adjoint QCD$_2$ Open
In our earlier work arXiv:2311.09334, we introduced a lattice Hamiltonian for Adjoint QCD$_2$ using staggered Majorana fermions. We found the gauge invariant space of states explicitly for the gauge group $\text{SU}(2)$ and used them for n…
View article: Lattice Hamiltonian for adjoint QCD2
Lattice Hamiltonian for adjoint QCD2 Open
A bstract We introduce a Hamiltonian lattice model for the (1 + 1)-dimensional SU( N c ) gauge theory coupled to one adjoint Majorana fermion of mass m . The discretization of the continuum theory uses staggered Majorana fermions. We analy…
View article: Level repulsion in $$ \mathcal{N} $$ = 4 super-Yang-Mills via integrability, holography, and the bootstrap
Level repulsion in $$ \mathcal{N} $$ = 4 super-Yang-Mills via integrability, holography, and the bootstrap Open
A bstract We combine supersymmetric localization with the numerical conformal bootstrap to bound the scaling dimension and OPE coefficient of the lowest-dimension unprotected operator in $$ \mathcal{N} $$ = 4 SU( N ) super-Yang-Mills the…
View article: Small Circle Expansion for Adjoint QCD$_2$ with Periodic Boundary Conditions
Small Circle Expansion for Adjoint QCD$_2$ with Periodic Boundary Conditions Open
We study $1+1$-dimensional $\text{SU}(N)$ gauge theory coupled to one adjoint multiplet of Majorana fermions on a small spatial circle of circumference $L$. Using periodic boundary conditions, we derive the effective action for the quantum…
View article: Global Symmetry and Integral Constraint on Superconformal Lines in Four Dimensions
Global Symmetry and Integral Constraint on Superconformal Lines in Four Dimensions Open
We study properties of point-like impurities preserving flavor symmetry and supersymmetry in four-dimensional ${\cal N} = 2$ field theories. At large distances, such impurities are described by half-BPS superconformal line defects. By work…
View article: Phase Diagram of the Two-Flavor Schwinger Model at Zero Temperature
Phase Diagram of the Two-Flavor Schwinger Model at Zero Temperature Open
We examine the phase structure of the two-flavor Schwinger model as a function of the θ angle and the two masses, m1 and m2. In particular, we find interesting effects at θ=π: along the SU(2)-invariant line m1=m2=m, in the regime where m i…
View article: Level Repulsion in $\mathcal{N} = 4$ super-Yang-Mills via Integrability, Holography, and the Bootstrap
Level Repulsion in $\mathcal{N} = 4$ super-Yang-Mills via Integrability, Holography, and the Bootstrap Open
We combine supersymmetric localization with the numerical conformal bootstrap to bound the scaling dimension and OPE coefficient of the lowest-dimension operator in $\mathcal{N} = 4$ $\text{SU}(N)$ super-Yang-Mills theory for a wide range …
View article: Lattice Hamiltonian for Adjoint QCD$_2$
Lattice Hamiltonian for Adjoint QCD$_2$ Open
We introduce a Hamiltonian lattice model for the $(1+1)$-dimensional $\text{SU}(N_c)$ gauge theory coupled to one adjoint Majorana fermion of mass $m$. The discretization of the continuum theory uses staggered Majorana fermions. We analyze…
View article: Phase Diagram of the Two-Flavor Schwinger Model at Zero Temperature
Phase Diagram of the Two-Flavor Schwinger Model at Zero Temperature Open
We examine the phase structure of the two-flavor Schwinger model as a function of the $θ$-angle and the two masses, $m_1$ and $m_2$. In particular, we find interesting effects at $θ=π$: along the $SU(2)$-invariant line $m_1 = m_2 = m$, in …
View article: Discrete chiral symmetry and mass shift in the lattice Hamiltonian approach to the Schwinger model
Discrete chiral symmetry and mass shift in the lattice Hamiltonian approach to the Schwinger model Open
We revisit the lattice formulation of the Schwinger model using the Kogut-Susskind Hamiltonian approach with staggered fermions. This model, introduced by Banks et al. Phys. Rev. D 13, 1043 (1976)10.1103/PhysRevD.13.1043, contains the mass…
View article: Compactifying the Kerr-Schild Double Copy
Compactifying the Kerr-Schild Double Copy Open
We show that the classical double copy relationship for Kerr-Schild spacetimes can be dimensionally reduced to give a natural notion of the double copy for Kaluza-Klein theory with gravity coupled to a gauge field and a dilaton. Under dime…
View article: Adjoint Majorana QCD$_2$ at Finite $N$
Adjoint Majorana QCD$_2$ at Finite $N$ Open
The mass spectrum of $1+1$-dimensional $\mathrm{SU}(N)$ gauge theory coupled to a Majorana fermion in the adjoint representation has been studied in the large $N$ limit using Light-Cone Quantization. Here we extend this approach to theorie…
View article: Discrete Chiral Symmetry and Mass Shift in Lattice Hamiltonian Approach to Schwinger Model
Discrete Chiral Symmetry and Mass Shift in Lattice Hamiltonian Approach to Schwinger Model Open
We revisit the lattice formulation of the Schwinger model using the Kogut-Susskind Hamiltonian approach with staggered fermions. This model, introduced by Banks et al., contains the mass term $m_{\rm lat} \sum_{n} (-1)^{n} χ^\dagger_n χ_n$…
View article: Bootstrapping $\mathcal{N}=4$ super-Yang-Mills on the conformal manifold
Bootstrapping $\mathcal{N}=4$ super-Yang-Mills on the conformal manifold Open
We combine supersymmetric localization results with numerical bootstrap techniques to compute upper bounds on the low-lying CFT data of ${\cal N} = 4$ super-Yang-Mills theory as a function of the complexified gauge coupling $τ$. In particu…
View article: Decoding locomotion from population neural activity in moving C. elegans
Decoding locomotion from population neural activity in moving C. elegans Open
We investigated the neural representation of locomotion in the nematode C. elegans by recording population calcium activity during movement. We report that population activity more accurately decodes locomotion than any single neuron. Rele…
View article: Decoding locomotion from population neural activity in moving <i>C. elegans</i>.
Decoding locomotion from population neural activity in moving <i>C. elegans</i>. Open
We investigated the neural representation of locomotion in the nematode C. elegans by recording population calcium activity during movement. We report that population activity more accurately decodes locomotion than any single neuron. Rele…
View article: A Phase Transition in Minesweeper
A Phase Transition in Minesweeper Open
We study the average-case complexity of the classic Minesweeper game in which players deduce the locations of mines on a two-dimensional lattice. Playing Minesweeper is known to be co-NP-complete. We show empirically that Minesweeper exhib…
View article: Formation of Orion fingers
Formation of Orion fingers Open
‘Orion fingers’ are a system of dozens of bow shocks, with the wings of shocks pointing to a common system of origin, which is centred on a dynamically disintegrating system of several massive stars. The shock heads propagate with velociti…
View article: A Phase Transition in Minesweeper
A Phase Transition in Minesweeper Open
We study the average-case complexity of the classic Minesweeper game in which players deduce the locations of mines on a two-dimensional lattice. Playing Minesweeper is known to be co-NP-complete. We show empirically that Minesweeper exhib…
View article: The spatial extension of extended narrow line regions in MaNGA AGN
The spatial extension of extended narrow line regions in MaNGA AGN Open
In this work, we revisit the size–luminosity relation of the extended narrow line regions (ENLRs) using a large sample of nearby active galactic nuclei (AGNs) from the Mapping Nearby Galaxies at Apache Point Observatory (MaNGA) survey. The…