M Theory

We study the supergravity duals of supersymmetric theories arising in the world-volume of D6 branes wrapping holomorphic two-cycles and special Lagrangian three-cycles within the framework of eight dimensional gauged supergravity. When uplifted to 11d, our solutions represent M-theory on the background of, respectively, the small resolution of the conifold and a manifold with G_2 holonomy. We further discuss on the flop and other possible geometrical transitions and its implications.

Chord language is based on chords (quantum spectrum), strings (open, closed, membrane), etc., and is used to express time (music), space (painting), life (meridians, chakras), etc. Chord semantics come from chord (quantum) spectrum and are natural (physical) laws.

Chords (quantum spectrum, strings) express space-time, life, etc.; Is the universe based on chords?

https://www.researchgate.net/publication/340444451_Chord_Language

to describe M2-branes on a cone over the well-known Sasaki-Einstein manifold Q^{1,1,1}. For Chern-Simons levels (k,k,-k,-k) we argue that this theory is dual to AdS_4 x Q^{1,1,1}/Z_k. We derive the Z_k orbifold action and show that it preserves geometrical symmetry U(1)_R x SU(2) x U(1), in agreement with the symmetry of the gauge theory. We analyze the simplest gauge invariant chiral operators, and show that they match Kaluza-Klein harmonics on AdS_4 x Q^{1,1,1}/Z_k. This provides a test of the gauge theory, and in particular of its sextic superpotential which plays an important role in restricting the spectrum of chiral operators. We proceed to study other quiver gauge theories corresponding to more complicated orbifolds of Q^{1,1,1}. In particular, we propose two U(N)^4 Chern-Simons gauge theories whose quiver diagrams are the same as in the 4d theories describing D3-branes on a complex cone over F_0, a Z_2 orbifold of the conifold (in 4d the two quivers are related by the Seiberg duality). The manifest symmetry of these gauge theories is U(1)_R x SU(2) x SU(2). We argue that these gauge theories at levels (k,k,-k,-k) are dual to AdS_4 x Q^{2,2,2}/Z_k. We exhibit calculations of the moduli space and of the chiral operator spectrum which provide support for this conjecture. We also briefly discuss a similar correspondence for AdS_4 x M^{3,2}/Z_k. Finally, we discuss resolutions of the cones and their dual gauge theories.

We construct several examples of (2+1) dimensional N=2 supersymmetric Chern-Simons theories, whose moduli space is given by non-compact toric Calabi-Yau four-folds, which are not derivable from any (3+1) dimensional CFT. One such example is the gauge theory associated with the cone over Q^{111}. For several examples, we explicitly confirm the matter content, superpotential interactions and RG flows suggested by crystal models. Our results provide additional support to the idea that crystal models are relevant for describing the structure of these CFTs.

We study various aspects of \( \mathcal{N} = 2 \) quiver-Chern-Simons theories, conjectured to be dual to M2-branes at toric Calabi-Yau four-fold singularities, under Higgsing. In particular we study in detail the orbifold \( {{{\mathbb{C}^4}} \mathord{\left/{\vphantom {{{\mathbb{C}^4}} {\mathbb{Z}_2^3}}} \right.} {\mathbb{Z}_2^3}} \) , obtaining a number of different quiver-Chern-Simons phases for this model, and all 18 toric partial resolutions thereof. In the process we develop a general un-Higgsing algorithm that allows one to construct quiver-Chern-Simons theories by blowing up, thus obtaining a plethora of new models. In addition we explain how turning on torsion G-flux non-trivially affects the supergravity dual of Higgsing, showing that the supergravity and field theory analyses precisely match in an example based on the Sasaki-Einstein manifold \( {Y^{1,2}}\left( {\mathbb{C}{\mathbb{P}^2}} \right) \) .

We study a stationary "black" brane in M/superstring theory. Assuming BPS-type relations between the first-order derivatives of metric functions, we present general stationary black brane solutions with a traveling wave for the Einstein equations in D-dimensions. The solutions are given by a few independent harmonic equations (and plus the Poisson equation). General solutions are constructed by superposition of a complete set of those harmonic functions. Using the hyperspherical coordinate system, we explicitly give the solutions in 11-dimensional M theory for the case with M2-M5 intersecting branes and a traveling wave. Compactifying these solutions into five dimensions, we show that these solutions include the BMPV black hole and the Brinkmann wave solution. We also find new solutions similar to the Brinkmann wave. We prove that the solutions preserve the 1/8 supersymmetry if the gravi-electromagnetic field F, which is a rotational part of gravity, is self-dual. We also ...

We show that there exists a cut-off version of Nambu-Poisson bracket which defines a finite dimensional Lie 3-algebra. The algebra still satisfies the fundamental identity and thus produces N=8 supersymmetric BLG type equation of motion for multiple M2 branes. By counting the number of the moduli and the degree of freedom, we derive an entropy formula which scales as N^3/2 as expected for the multiple M2 branes.

This paper proposes an M-theory(MT)-derived special type of bijective particle (toy-)theory (BPT), in which each type geometric/topological entity (brane) is assigned one and only one type of physical particle and vice versa. BPT is essentially a topological/geometrical toy-theory (and mainly an exercise of imagination) which tries to explain gravity as a quantum field mediated by 3 types of scale-specific hypothetical massless, heavy and ultra-heavy gravitons: BPT may be thus considered a “trigravity” toy-theory and proposes a way to (at least partially) fill the “gap” between M-Theory (on which BPT is based) and the Standard model (SM) of particle physics. BPT also offers alternative geometrical explanations for rest mass and for electromagnetic charge. This paper continues (from alternative angles of view) the work of other past articles/preprints of the same author in physics (listed from the newest to the oldest).
#DONATIONS. Anyone can donate for dr. Dragoi’s independent research and original music at: https://www.paypal.com/donate/?hosted_button_id=AQYGGDVDR7KH2

It is described how the Extended Relativity Theory in [Formula: see text]-spaces (Clifford spaces) allows a unified formulation of point particles, strings, membranes and [Formula: see text]-branes, moving in ordinary target spacetime backgrounds, within the description of a single polyparticle moving in [Formula: see text]-spaces. The degrees of freedom of the latter are provided by Clifford polyvector-valued coordinates (antisymmetric tensorial coordinates). A correspondence between the [Formula: see text]-brane ([Formula: see text]-loop) “Schrödinger-like” equations of Ansoldi–Aurilia–Spallucci and the polyparticle wave equation in [Formula: see text]-spaces is found via the polyparticle/[Formula: see text]-brane correspondence. This correspondence might provide another unexplored avenue to quantize [Formula: see text]-branes (a notoriously difficult and unsolved problem) from the more straightforward quantization of the polyparticle in [Formula: see text]-spaces, even in the pre...

In this paper, the low-energy effective dynamics of M-theory, eleven-dimensional supergravity, is taken off-shell in a manifestly supersymmetric formulation. We show that a previously proposed relaxation of the superspace torsion constraints does indeed accommodate a current supermultiplet which lifts the equations of motion corresponding to the ordinary second order derivative supergravity lagrangian. Whether the auxiliary fields obtained this way can be used to construct an off-shell lagrangian is not yet known. We comment on the relation and application of this completely general formalism to higher-derivative (R^4) corrections. Some details of the calculation are saved for a later publication.

A new static partially twisted solution of N = 4, SO(4) gauged supergravity in D = 11 is obtained in this work using Cvetiĉ et al embedding of four dimensional into eleven dimensional supergravities. In four dimensions we get two solutions: an asymptotic one corresponding to AdS4 and a near horizon fixed point solution of the form AdS2 × H2. Hence, while the former solution has 32 supercharges the latter turns out to have only 4 conserved. Moreover, we managed to find an exact interpolating solution, thus connecting the above two. Aiming at a future study of AdS/CFT duality for the theory at hand we derived the Penrose limit of the four dimensional solutions. Interestingly the pp-wave limit of the near horizon solution suggests itself as being of the supernumerary supersymmetric type. In D = 11 we exhibit the uplift of the four dimensional solutions: one associated to AdS4 × S7 and the other to a foliation of AdS2 × H2 × S7, as well as their pp-wave limits.