We construct smooth nonsupersymmetric soliton solutions with D1-brane, D5-brane, and momentum charges in type IIB supergravity compactified on ${T}^{4}\ifmmode\times\else\texttimes\fi{}{S}^{1}$, the along compact directions. This generalizes previous studies of supersymmetric solutions. The are obtained by considering a known family $U(1)\ifmmode\times\else\texttimes\fi{}U(1)$ invariant metrics, studying conditions imposed requiring smoothness. discuss relation our to states CFT describing...

The latest techniques from Neural Networks and Support Vector Machines (SVM) are used to investigate geometric properties of Complete Intersection Calabi-Yau (CICY) threefolds, a class manifolds that facilitate string model building. An advanced neural network classifier SVM employed (1) learn Hodge numbers report remarkable improvement over previous efforts, (2) query for favourability, (3) predict discrete symmetries, highly imbalanced problem which both Synthetic Minority Oversampling...

Calabi–Yau manifolds can be obtained as hypersurfaces in toric varieties built from reflexive polytopes. We generate polytopes various dimensions using a genetic algorithm. As proof of principle, we demonstrate that our algorithm reproduces the full set two and three dimensions, four with small number vertices points. Motivated by this result, construct five-dimensional lowest By calculating normal form polytopes, establish many these are not existing datasets therefore give rise to new...

Kreuzer and Skarke famously produced the largest known database of Calabi-Yau threefolds by providing a complete construction all 473,800,776 reflexive polyhedra that exist in four dimensions [1]. These describe singular limits ambient toric varieties which can as hypersurfaces. In this paper, we review how to extract topological geometric information about using construction, provide, companion online (see http://nuweb1.neu.edu/cydatabase ), detailed inventory these quantities are interest...

A bstract Ricci flat metrics for Calabi-Yau threefolds are not known analytically. In this work, we employ techniques from machine learning to deduce numerical K3, the Fermat quintic, and Dwork quintic. This investigation employs a simple, modular neural network architecture that is capable of approximating Kähler manifolds dimensions two three. We show measures assess flatness consistency metric decrease after training. improvement corroborated by performance trained on an independent...

We present a consistent string theory model which produces simple extension of the standard model, consisting D3-brane at orbifold singularity. envision this as local singularity within warped compactification. The phenomenology has some novel features. note that, for to be viable, scale stringy physics must in multi-TeV range. There are natural hierarchies fermion spectrum and there several possible experimental signatures model.

An important conjecture in knot theory relates the large-N, double scaling limit of colored Jones polynomial JK,N(q) a K to hyperbolic volume complement, Vol(K). A less studied question is whether Vol(K) can be recovered directly from original (N=2). In this report we use deep neural network approximate polynomial. Our robust and correctly predicts with 97.6% accuracy when training on 10% data. This points existence more direct connection between

Supervised machine learning can be used to predict properties of string geometries with previously unknown features. Using the complete intersection Calabi-Yau (CICY) threefold dataset as a theoretical laboratory for this investigation, we use low $h^{1,1}$ training and validate on large $h^{1,1}$. Neural networks Support Vector Machines successfully trends in number K\"ahler parameters CICY threefolds. The numerical accuracy improves upon seeding set small samples at higher

We show that heavy pure states of gravity can appear to be mixed almost all probes. Our arguments are made for AdS 5 Schwarzschild black holes using the field theory dual string in such spacetimes. results follow from applying information theoretic notions operators capable describing very gravity. For certain supersymmetric theory, our account is exact: microstates described by a spacetime "foam", precise details which invisible

A bstract We introduce cymyc, a high-performance Python library for numerical investigation of the geometry large class string compactification manifolds and their associated moduli spaces. develop well-defined geometric ansatz to numerically model tensor fields arbitrary degree on Calabi-Yau manifolds. cymyc includes machine learning component which incorporates this interest these spaces by finding an approximate solution system partial differential equations they should satisfy.

Calabi-Yau compactifications of the <a:math xmlns:a="http://www.w3.org/1998/Math/MathML" display="inline"><a:msub><a:mi>E</a:mi><a:mn>8</a:mn></a:msub><a:mo>×</a:mo><a:msub><a:mi>E</a:mi><a:mn>8</a:mn></a:msub></a:math> heterotic string provide a promising route to recovering four-dimensional particle physics described by Standard Model. While topology space determines overall matter content in low-energy effective field theory, further details compactification geometry are needed calculate...

In this note, we use entanglement entropy as a tool to explore the universal properties of CFTs dual extremal BTZ black holes. We demonstrate that entropies computed in at boundary and near-horizon limit are perfect agreement have form appropriate two-dimensional CFT with only chiral part excited anti-chiral ground state. Furthermore, analyze limits recover correct value thermal for large entangling intervals first-law like relation small interval.

A bstract Superconformal indices of four-dimensional $$ \mathcal{N} <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mi>N</mml:mi> </mml:math> = 1 gauge theories factorize into holomorphic blocks. We interpret this as a modular property resulting from the combined action an SL(3, ℤ ) and SL(2, ⋉ 2 transformation. The former corresponds to gluing transformation latter overall large diffeomorphism, both associated with Heegaard splitting underlying geometry. extension more...

We apply machine learning to understand fundamental aspects of holographic duality, specifically the entropies obtained from apparent and event horizon areas. show that simple features only time series pressure anisotropy, namely values half-widths maxima minima, times these are attained, first zeroes can predict areas horizons in dual bulk geometry at all with a fixed maximum length (10) input vector. also argue entropy functions measures information need be extracted one-point reconstruct...

Field theory in de Sitter space admits a one-parameter family of vacua determined by superselection parameter alpha. Of these vacua, the Euclidean vacuum uniquely extrapolates to flat Minkowski space. States which resemble alpha-vacua can be constructed as excitations above vacuum. Such states have modes alpha(k) decay faster that k^{(1-d)/2}. Fields such exhibit non-local correlations when examined from perspective fields The dynamics entangled are fully consistent. If an alpha-state with...

We review our recent proposal for a background-independent formulation of holographic theory quantum gravity. The present paper incorporates the necessary background material on geometry canonical theory, holography and space–time thermodynamics, Matrix as well specific dynamical geometric mechanics, applied to theory. At heart this is new analysis conceptual problem time closely related phenomenologically relevant vacuum energy in also discussion some observational implications viewpoint energy.

We describe an efficient, construction independent, algorithmic test to determine whether Calabi-Yau threefolds admit a structure compatible with the large volume moduli stabilization scenario of type IIB superstring theory. Using algorithm, we scan complete intersection and toric hypersurface $2\ensuremath{\le}{h}^{1,1}\ensuremath{\le}4$ deduce that 418 among 4434 manifolds have limit single four-cycle. major extensions this survey, which are currently underway.