SPECIAL LAGRANGIAN SUB-MANIFOLDS AND SUPER-SYMMETRY

2013 ◽  
Vol 10 (07) ◽  
pp. 1350031
Author(s):  
ALIREZA BAHRAINI
Keyword(s):  
String Theory ◽  
Current Literature ◽  
Nucl Phys ◽  
Essential Ingredient ◽  
Special Lagrangian ◽  
Super Symmetry ◽  
Gravity Theories

Special Lagrangian sub-manifolds of Calabi–Yau (CY) 3-folds are used to describe membrane instanton solutions of N = 1, 11-dimensional super-gravity theories. Super-symmetry is the essential ingredient that relates super-gravity branes to special Lagrangian sub-manifolds [K. Becker, M. Becker and A. Strominger, Fivebranes, membranes and non-perturbative string theory, Nucl. Phys. B456(1–2) (1995) 135–152]. In this note we would like to explain this relation, more explicitly and with more details than in the current literature.

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

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.

scholarly journals A quantized spacetime based on Spin(3,1) symmetry

2016 ◽  
Vol 25 (13) ◽  
pp. 1645004
Author(s):  
Pisin Chen ◽  
Hsu-Wen Chiang ◽  
Yao-Chieh Hu
Keyword(s):  
String Theory ◽  
Quantum Gravity ◽  
Uncertainty Principle ◽  
Loop Quantum Gravity ◽  
Generalized Uncertainty Principle ◽  
Spin Network ◽  
Fundamental Symmetry ◽  
New Type ◽  
Gravity Theories

We introduce a new type of the spacetime quantization based on the spinorial description suggested by loop quantum gravity. Specifically, we build our theory on a string theory inspired [Formula: see text] worldsheet action. Because of its connection with quantum gravity theories, our proposal may in principle link back to string theory, connect to loop quantum gravity where SU(2) is suggested as the fundamental symmetry, or serve as a Lorentzian spin network. We derive the generalized uncertainty principle and demonstrate the holographic nature of our theory. Due to the quantization of spacetime, geodesics in our theory are fuzzy, but the fuzziness is shown to be much below conceivable astrophysical bounds.

scholarly journals “Lagrangian disks” in M-theory

2020 ◽  
Vol 2020 (11) ◽  
Author(s):  
Sebastían Franco ◽  
Sergei Gukov ◽  
Sangmin Lee ◽  
Rak-Kyeong Seong ◽  
James Sparks
Keyword(s):  
String Theory ◽  
Large Class ◽  
Lagrangian Submanifolds ◽  
The Other ◽  
Holomorphic Curves ◽  
Special Lagrangian ◽  
Special Lagrangian Submanifolds ◽  
Brane Models ◽  
The One ◽  
M Theory

Abstract While the study of bordered (pseudo-)holomorphic curves with boundary on Lagrangian submanifolds has a long history, a similar problem that involves (special) Lagrangian submanifolds with boundary on complex surfaces appears to be largely overlooked in both physics and math literature. We relate this problem to geometry of coassociative submanifolds in G2 holonomy spaces and to Spin(7) metrics on 8-manifolds with T2 fibrations. As an application to physics, we propose a large class of brane models in type IIA string theory that generalize brane brick models on the one hand and 2d theories T[M4] on the other.

World-sheet super symmetry in string theory

2012 ◽  
pp. 185-248
Author(s):  
Michael B. Green ◽  
John H. Schwarz ◽  
Edward Witten
Keyword(s):  
String Theory ◽  
World Sheet ◽  
Super Symmetry

scholarly journals Polyakov-like approach to the modified gravity and other geometric theories

2020 ◽  
Vol 17 (03) ◽  
pp. 2050037
Author(s):  
A. A. Sheykin ◽  
M. V. Ioffe ◽  
S. N. Manida ◽  
S. A. Paston
Keyword(s):  
String Theory ◽  
Modified Gravity ◽  
Embedding Theory ◽  
Modified Gravity Theories ◽  
Gravity Theories ◽  
Brane Action ◽  
Mimetic Gravity

We study the procedure that allows to rewrite the actions of some modified gravity theories like mimetic gravity and Regge–Teitelboim embedding theory as Einstein–Hilbert actions with additional matter contributions. It turns out that this procedure can be applied to brane action, which leads to a polynomial brane action. We also examine the connection between this procedure and Polyakov trick in string theory.

Gold liposomes

1996 ◽  
Vol 54 ◽  
pp. 898-899
Author(s):  
James F. Hainfeld
Keyword(s):  
Direct Methods ◽  
Important Class ◽  
Double Bonds ◽  
Membrane Phospholipids ◽  
Essential Ingredient ◽  
Lipid Structures

Lipids are an important class of molecules, being found in membranes, HDL, LDL, and other natural structures, serving essential roles in structure and with varied functions such as compartmentalization and transport. Synthetic liposomes are also widely used as delivery and release vehicles for drugs, cosmetics, and other chemicals; soap is made from lipids. Lipids may form bilayer or multilammellar vesicles, micelles, sheets, tubes, and other structures. Lipid molecules may be linked to proteins, carbohydrates, or other moieties. EM study of this essential ingredient of life has lagged, due to lack of direct methods to visualize lipids without extensive alteration. OsO4 reacts with double bonds in membrane phospholipids, forming crossbridges. This has been the method of choice to both fix and stain membranes, thus far. An earlier work described the use of tungstate clusters (W11) attached to lipid moieties to form lipid structures and lipid probes.

Word Prompt Programs

1997 ◽  
Vol 6 (3) ◽  
pp. 57-65 ◽  
Author(s):  
Lisa A. Wood ◽  
Joan L. Rankin ◽  
David R. Beukelman
Keyword(s):  
Learning Disabilities ◽  
Current Literature ◽  
Word Processing ◽  
Computer Software ◽  
Written Language ◽  
Written Communication ◽  
Speech Language Pathologists ◽  
Basic Word ◽  
The Matrix ◽  
Language Needs

Word prompt programs are computer software programs or program features that are used in addition to basic word processing. These programs provide word lists from which a user selects a desired word and inserts it into a line of text. This software is used to support individuals with severe speech, physical, and learning disabilities. This tutorial describes the features of a variety of word prompt programs and reviews the current literature on the use of these programs by people with oral and written language needs. In addition, a matrix that identifies the features contained in eight sample word prompt programs is provided. The descriptions of features and the matrix are designed to assist speech-language pathologists and teachers in evaluating and selecting word prompt programs to support their clients' oral and written communication.

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