Jan Troost
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View article: Inverse Monoid Topological Quantum Field Theories and Open-Closed Grand Canonical Symmetric Orbifolds
Inverse Monoid Topological Quantum Field Theories and Open-Closed Grand Canonical Symmetric Orbifolds Open
We present an open-closed topological quantum field theory for inverse monoids which generalizes the theory of principle fiber bundles with finite gauge group over Riemann surfaces with boundary. The theory is constructed using the isomorp…
View article: Mixed solutions to the Liouville equation
Mixed solutions to the Liouville equation Open
We enlarge the set of explicit classical solutions to the Liouville equation with three singularities to the cases with mixed hyperbolic and elliptic monodromies. We analyze the large hyperbolic monodromy limit of the solutions and the far…
View article: The string dual to two-dimensional Yang-Mills theory
The string dual to two-dimensional Yang-Mills theory Open
A bstract We propose that chiral two-dimensional Yang-Mills theory on a Riemann surface is dual to a deformed stationary subsector of the Gromov-Witten theory of that surface. Firstly, we argue that the algebraic structure that underlies t…
View article: The String Dual to Two-dimensional Yang-Mills Theory Revisited
The String Dual to Two-dimensional Yang-Mills Theory Revisited Open
We propose that chiral two-dimensional Yang-Mills theory on a Riemann surface is dual to a deformed stationary subsector of the Gromov-Witten theory of that Riemann surface. Firstly, we argue that the algebraic structure that underlies the…
View article: Symmetric group gauge theories and simple gauge/string dualities
Symmetric group gauge theories and simple gauge/string dualities Open
We study two-dimensional topological gauge theories with gauge group equal to the symmetric group S n and their string theory duals. The simplest such theory is the topological quantum field theory of principal S n fiber bundles. Its corre…
View article: The operator rings of topological symmetric orbifolds and their large N limit
The operator rings of topological symmetric orbifolds and their large N limit Open
A bstract We compute the structure constants of topological symmetric orbifold theories up to third order in the large N expansion. The leading order structure constants are dominated by topological metric contractions. The first order int…
View article: The Operator Rings of Topological Symmetric Orbifolds and their Large N Limit
The Operator Rings of Topological Symmetric Orbifolds and their Large N Limit Open
We compute the structure constants of topological symmetric orbifold theories up to third order in the large N expansion. The leading order structure constants are dominated by topological metric contractions. The first order interactions …
View article: More on pure gravity with a negative cosmological constant
More on pure gravity with a negative cosmological constant Open
A bstract We identify an ambiguity in the Chern-Simons formulation of three-dimensional gravity with negative cosmological constant that originates in an outer automorphism of the Lie algebra $$ \mathfrak{sl} $$ (2 , ℝ). It has important…
View article: More On Pure Gravity with a Negative Cosmological Constant
More On Pure Gravity with a Negative Cosmological Constant Open
We identify an ambiguity in the Chern-Simons formulation of three-dimensional gravity with negative cosmological constant that originates in an outer automorphism of the Lie algebra sl(2,R). It has important consequences for the stability …
View article: The Chiral Ring of a Symmetric Orbifold and its Large N Limit
The Chiral Ring of a Symmetric Orbifold and its Large N Limit Open
We analyze the chiral operator ring of the symmetric orbifold conformal field theory on the complex two-plane. We compute the large N limit of the ring and exhibit its factorized leading order behaviour. We moreover calculate all structure…
View article: Topological two-dimensional gravity on surfaces with boundary
Topological two-dimensional gravity on surfaces with boundary Open
We solve two-dimensional gravity on surfaces with boundary in terms of contact interactions and surface degenerations. The known solution of the bulk theory in terms of a contact algebra is generalized to include boundaries and an enlarged…
View article: Topological Two-Dimensional Gravity on Surfaces with Boundary
Topological Two-Dimensional Gravity on Surfaces with Boundary Open
We solve two-dimensional gravity on surfaces with boundary in terms of contact interactions and surface degenerations. The known solution of the bulk theory in terms of a contact algebra is generalized to include boundaries and an enlarged…
View article: Experimental data of "Mesoscopic Klein-Schwinger effect in graphene"
Experimental data of "Mesoscopic Klein-Schwinger effect in graphene" Open
Current-to-voltage characteristics of the devices studied in the main and supplementary text of the article "Mesoscopic Klein-Schwinger effect in graphene" by A. Schmitt et al. Dimensions of devices are provided in the article
View article: Experimental data of "Mesoscopic Klein-Schwinger effect in graphene"
Experimental data of "Mesoscopic Klein-Schwinger effect in graphene" Open
Current-to-voltage characteristics of the devices studied in the main and supplementary text of the article "Mesoscopic Klein-Schwinger effect in graphene" by A. Schmitt et al. Dimensions of devices are provided in the article
View article: Mesoscopic Klein-Schwinger effect in graphene
Mesoscopic Klein-Schwinger effect in graphene Open
Strong electric field annihilation by particle-antiparticle pair creation, also known as the Schwinger effect, is a non-perturbative prediction of quantum electrodynamics. Its experimental demonstration remains elusive, as threshold electr…
View article: Long Strings and Quasinormal Winding Modes
Long Strings and Quasinormal Winding Modes Open
We compute the path integral for a particle on the covering group of SL(2,R) using a decomposition of the Lie algebra into adjoint orbits. We thus intuitively derive the Hilbert space of the particle on the group including discrete and con…
View article: Twisted Strings in Three-dimensional Black Holes
Twisted Strings in Three-dimensional Black Holes Open
We revisit the classical dynamics of fundamental strings in BTZ black holes with NSNS flux. We analyse probe strings in the black hole background and determine their classical energy using a Nambu-Goto action. Three-dimensional gravity has…
View article: The AdS3 × S1 chiral ring
The AdS3 × S1 chiral ring Open
A bstract We study AdS 3 × S 1 × Y supersymmetric string theory backgrounds with Neveu-Schwarz-Neveu-Schwarz flux that are dual to $$ \mathcal{N} $$ = 2 superconformal theories on the boundary. We classify all worldsheet vertex operators…
View article: The $AdS_3 \times S^1$ Chiral Ring
The $AdS_3 \times S^1$ Chiral Ring Open
We study $AdS_3 \times S^1 \times Y$ supersymmetric string theory backgrounds with Neveu-Schwarz-Neveu-Schwarz flux that are dual to ${\cal N}=2$ superconformal theories on the boundary. We classify all worldsheet vertex operators that cor…
View article: Liouville quantum gravity
Liouville quantum gravity Open
We define a three-dimensional quantum theory of gravity as the holographic\ndual of the Liouville conformal field theory. The theory is consistent and\nunitary by definition. The corresponding theory of gravity with negative\ncosmological …