Cosmic Space in Zero-Dimension: A Discussion on Spatial Question According to the M-Theory

Images of archangels and angels, which were painted on the walls, in the upper parts of the buildings and, on their structural elements, were very popular in Christian Nubian painting as attested by the discoveries from Church SWN.BV on the citadel in Old Dongola. These images, which derive from pre-Christian art, depict the eternal nature of the archangels and angels. Presenting this group of representations, the author traces the origins of these images to highlight the role of these spiritual beings as intermediaries between God and humankind. As such, they move freely between the Heavens and the Earth, so the air and cosmic space are their natural surroundings. Moreover, archangels govern the forces of nature, the planets, and the seven skies. Therefore, their sanctuaries were located on hill summits, in the upper chapels, on structural elements of ecclesiastical buildings, etc. The Nubian tradition is therefore part of a broader Mediterranean tradition, the roots of which should be sought in the Near East.

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Towards a Global History of Culture1

Jahrbuch für Internationale Germanistik ◽

10.3726/ja511_135 ◽

2019 ◽

Vol 51 (1) ◽

pp. 135-146

Author(s):

Yūji Nawata

Keyword(s):

Global History ◽

Short History ◽

Physical Time ◽

Shared Space ◽

Cosmic Space ◽

Parallel Universes ◽

History Of ◽

Shared Context

Abstract Contemporary physics often speaks of “multiverses” or “parallel universes,” seriously debating whether our cosmic space is only one of many2. However many such spaces there may be, for now let us limit ourselves to the space in which we find ourselves; let us focus furthermore on the planet we are on, and further still on humanity upon this planet. Let us attempt to write a short history of the culture produced by humanity on this globe. We humans possessed and indeed possess a shared space, the globe, where a physical time common to us all passes. Let us survey the history of the world’s culture within this shared context.

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Currents, charges and algebras in exceptional generalised geometry

Journal of High Energy Physics ◽

10.1007/jhep06(2021)070 ◽

2021 ◽

Vol 2021 (6) ◽

Author(s):

David Osten

Keyword(s):

Current Algebra ◽

Hamiltonian Formulation ◽

Building Blocks ◽

Lie Derivative ◽

Consistency Check ◽

World Volume ◽

Invariant Currents ◽

Invariant Current ◽

M Theory ◽

A Current

Abstract A classical Ed(d)-invariant Hamiltonian formulation of world-volume theories of half-BPS p-branes in type IIb and eleven-dimensional supergravity is proposed, extending known results to d ≤ 6. It consists of a Hamiltonian, characterised by a generalised metric, and a current algebra constructed s.t. it reproduces the Ed(d) generalised Lie derivative. Ed(d)-covariance necessitates the introduction of so-called charges, specifying the type of p-brane and the choice of section. For p > 2, currents of p-branes are generically non- geometric due to the imposition of U-duality, e.g. the M5-currents contain coordinates associated to the M2-momentum.A derivation of the Ed(d)-invariant current algebra from a canonical Poisson structure is in general not possible. At most, one can derive a current algebra associated to para-Hermitian exceptional geometry.The membrane in the SL(5)-theory is studied in detail. It is shown that in a generalised frame the current algebra is twisted by the generalised fluxes. As a consistency check, the double dimensional reduction from membranes in M-theory to strings in type IIa string theory is performed. Many features generalise to p-branes in SL(p + 3) generalised geometries that form building blocks for the Ed(d)-invariant currents.

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Explicit soft supersymmetry breaking in the heterotic M-theory B − L MSSM

Journal of High Energy Physics ◽

10.1007/jhep08(2021)033 ◽

2021 ◽

Vol 2021 (8) ◽

Author(s):

Anthony Ashmore ◽

Sebastian Dumitru ◽

Burt A. Ovrut

Keyword(s):

Line Bundle ◽

Supersymmetry Breaking ◽

Moduli Space ◽

Initial Conditions ◽

Low Energy ◽

Strongly Coupled ◽

Hidden Sector ◽

Effective Lagrangian ◽

Soft Supersymmetry Breaking ◽

M Theory

Abstract The strongly coupled heterotic M-theory vacuum for both the observable and hidden sectors of the B − L MSSM theory is reviewed, including a discussion of the “bundle” constraints that both the observable sector SU(4) vector bundle and the hidden sector bundle induced from a single line bundle must satisfy. Gaugino condensation is then introduced within this context, and the hidden sector bundles that exhibit gaugino condensation are presented. The condensation scale is computed, singling out one line bundle whose associated condensation scale is low enough to be compatible with the energy scales available at the LHC. The corresponding region of Kähler moduli space where all bundle constraints are satisfied is presented. The generic form of the moduli dependent F-terms due to a gaugino superpotential — which spontaneously break N = 1 supersymmetry in this sector — is presented and then given explicitly for the unique line bundle associated with the low condensation scale. The moduli-dependent coefficients for each of the gaugino and scalar field soft supersymmetry breaking terms are computed leading to a low-energy effective Lagrangian for the observable sector matter fields. We then show that at a large number of points in Kähler moduli space that satisfy all “bundle” constraints, these coefficients are initial conditions for the renormalization group equations which, at low energy, lead to completely realistic physics satisfying all phenomenological constraints. Finally, we show that a substantial number of these initial points also satisfy a final constraint arising from the quadratic Higgs-Higgs conjugate soft supersymmetry breaking term.

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Singular BPS boundary conditions in $$ \mathcal{N} $$ = (2, 2) supersymmetric gauge theories

Journal of High Energy Physics ◽

10.1007/jhep03(2021)043 ◽

2021 ◽

Vol 2021 (3) ◽

Author(s):

Tadashi Okazaki ◽

Douglas J. Smith

Keyword(s):

String Theory ◽

Boundary Conditions ◽

Gauge Theories ◽

Holomorphic Curve ◽

Two Dimensional ◽

Supersymmetric Gauge Theories ◽

Special Lagrangian ◽

Supersymmetric Gauge ◽

M Theory

Abstract We derive general BPS boundary conditions in two-dimensional $$ \mathcal{N} $$ N = (2, 2) supersymmetric gauge theories. We analyze the solutions of these boundary conditions, and in particular those that allow the bulk fields to have poles at the boundary. We also present the brane configurations for the half- and quarter-BPS boundary conditions of the $$ \mathcal{N} $$ N = (2, 2) supersymmetric gauge theories in terms of branes in Type IIA string theory. We find that both A-type and B-type brane configurations are lifted to M-theory as a system of M2-branes ending on an M5-brane wrapped on a product of a holomorphic curve in ℂ2 with a special Lagrangian 3-cycle in ℂ3.

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The “Emerging” Reality from “Hidden” Spaces

Universe ◽

10.3390/universe7030075 ◽

2021 ◽

Vol 7 (3) ◽

pp. 75

Author(s):

Richard Pincak ◽

Alexander Pigazzini ◽

Saeid Jafari ◽

Cenap Ozel

Keyword(s):

Dark Matter ◽

String Theory ◽

Topological Approach ◽

New Approach ◽

Topological Interpretation ◽

New Interpretation ◽

M Theory

The main purpose of this paper is to show and introduce some new interpretative aspects of the concept of “emergent space” as geometric/topological approach in the cosmological field. We will present some possible applications of this theory, among which the possibility of considering a non-orientable wormhole, but mainly we provide a topological interpretation, using this new approach, to M-Theory and String Theory in 10 dimensions. Further, we present some conclusions which this new interpretation suggests, and also some remarks considering a unifying approach between strings and dark matter. The approach shown in the paper considers that reality, as it appears to us, can be the “emerging” part of a more complex hidden structure. Pacs numbers: 11.25.Yb; 11.25.-w; 02.40.Ky; 02.40.-k; 04.50.-h; 95.35.+d.

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The 3d $$ \mathcal{N} $$ = 6 bootstrap: from higher spins to strings to membranes

Journal of High Energy Physics ◽

10.1007/jhep05(2021)083 ◽

2021 ◽

Vol 2021 (5) ◽

Author(s):

Damon J. Binder ◽

Shai M. Chester ◽

Max Jerdee ◽

Silviu S. Pufu

Keyword(s):

Block Decomposition ◽

Point Function ◽

Present Evidence ◽

Bootstrap Techniques ◽

Wide Range ◽

Higher Spin ◽

Tensor Multiplet ◽

Higher Spins ◽

M Theory ◽

Chern Simons

Abstract We study the space of 3d $$ \mathcal{N} $$ N = 6 SCFTs by combining numerical bootstrap techniques with exact results derived using supersymmetric localization. First we derive the superconformal block decomposition of the four-point function of the stress tensor multiplet superconformal primary. We then use supersymmetric localization results for the $$ \mathcal{N} $$ N = 6 U(N)k × U(N + M)−k Chern-Simons-matter theories to determine two protected OPE coefficients for many values of N, M, k. These two exact inputs are combined with the numerical bootstrap to compute precise rigorous islands for a wide range of N, k at M = 0, so that we can non-perturbatively interpolate between SCFTs with M-theory duals at small k and string theory duals at large k. We also present evidence that the localization results for the U(1)2M × U (1 + M)−2M theory, which has a vector-like large-M limit dual to higher spin theory, saturates the bootstrap bounds for certain protected CFT data. The extremal functional allows us to then conjecturally reconstruct low-lying CFT data for this theory.

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6d (2, 0) and M-theory at 1-loop

Journal of High Energy Physics ◽

10.1007/jhep01(2021)133 ◽

2021 ◽

Vol 2021 (1) ◽

Author(s):

Luis F. Alday ◽

Shai M. Chester ◽

Himanshu Raj

Keyword(s):

Flat Space ◽

Lagrangian Description ◽

Loop Correction ◽

Higher Derivative ◽

Weakly Coupled ◽

S Matrix ◽

Space Limit ◽

Tensor Multiplet ◽

First Time ◽

M Theory

Abstract We study the stress tensor multiplet four-point function in the 6d maximally supersymmetric (2, 0) AN−1 and DN theories, which have no Lagrangian description, but in the large N limit are holographically dual to weakly coupled M-theory on AdS7× S4 and AdS7× S4/ℤ2, respectively. We use the analytic bootstrap to compute the 1-loop correction to this holographic correlator coming from Witten diagrams with supergravity R and the first higher derivative correction R4 vertices, which is the first 1-loop correction computed for a non-Lagrangian theory. We then take the flat space limit and find precise agreement with the corresponding terms in the 11d M-theory S-matrix, some of which we compute for the first time using two-particle unitarity cuts.

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