scholarly journals Implication of U-duality for black branes in string/M-theory

2016 ◽  
Vol 31 (01) ◽  
pp. 1650001
Author(s):  
Samrat Bhowmick
Keyword(s):  
String Theory ◽  
Explicit Form ◽  
Energy Momentum Tensor ◽  
Momentum Tensor ◽  
Time Dependent ◽  
Type Ii ◽  
Black Brane ◽  
Duality Symmetry ◽  
M Theory ◽  
Time Dependent System

U-duality symmetry of M-theory and S- and T-duality of string theory can be used to study various black brane solutions. We explore some aspect of this idea here. This symmetry can be used to get relations among various components of the metric of the black brane. These relations in turn give relations among various components of the energy–momentum tensor. We show that, using these relations, without knowing the explicit form of form fields, we can get the black brane solutions. These features were studied previously in the context of M-theory. Here, we extensively studied them in string theory (type II supergravity). We also show that this formulation works for exotic branes. We give an example of a time-dependent system where this method is essential.

scholarly journals BRANE SOLUTIONS IN TIME-DEPENDENT BACKGROUNDS IN D = 11 SUPERGRAVITY AND IN TYPE II STRING THEORIES

2008 ◽  
Vol 23 (16n17) ◽  
pp. 2525-2540 ◽  
Author(s):  
SRIKUMAR SEN GUPTA
Keyword(s):  
String Theory ◽  
Equations Of Motion ◽  
Space Time ◽  
Time Dependent ◽  
Type Ii ◽  
Reduced Equations ◽  
Special Cases ◽  
M Theory ◽  
String Theories

We obtain explicit time-dependent brane solutions in M-theory as well as in string theory by solving the reduced equations of motion (which follow, as in Int. J. Mod. Phys. A17, 4647 (2002), from 11-dimensional supergravity) for a class of brane solutions in curved backgrounds. The behavior of our solutions in both asymptotic and near-horizon limits are studied. It is shown that our time-dependent solutions serve as explicit examples of branes in singular, cosmological backgrounds. In some special cases the asymptotic and the boundary AdS solutions can be identified as Milne × Rn space–time.

scholarly journals Exotic branes and mixed-symmetry potentials. I. Predictions from E11 symmetry

2020 ◽  
Vol 2020 (5) ◽  
Author(s):  
José J Fernández-Melgarejo ◽  
Yuho Sakatani ◽  
Shozo Uehara
Keyword(s):  
String Theory ◽  
Broad Spectrum ◽  
Type Ii ◽  
Duality Symmetry ◽  
Mixed Symmetry ◽  
M Theory

Abstract Type II string theory or M-theory contains a broad spectrum of gauge potentials. In addition to the standard $p$-form potentials, various mixed-symmetry potentials have been predicted, which may couple to exotic branes with non-standard tensions. Together with $p$-forms, mixed-symmetry potentials turn out to be essential to build the multiplets of the $U$-duality symmetry in each dimension. In this paper, we systematically determine the set of mixed-symmetry potentials and exotic branes on the basis of the $E_{11}$ conjecture. We also study the decompositions of $U$-duality multiplets into $T$-duality multiplets and determine which mixed-symmetry tensors are contained in each of the $U$-/$T$-duality multiplets.

scholarly journals QUANTIZING HIGHER-SPIN STRING THEORIES

1995 ◽  
Vol 10 (14) ◽  
pp. 2123-2142 ◽  
Author(s):  
H. LU ◽  
X.J. WANG ◽  
K.-W. XU ◽  
C.N. POPE ◽  
K. THIELEMANS
Keyword(s):  
String Theory ◽  
Classical Theory ◽  
Energy Momentum Tensor ◽  
Standard Form ◽  
Momentum Tensor ◽  
Minimal Models ◽  
Classical Level ◽  
Higher Spin ◽  
String Theories ◽  
The Way

In this paper, we examine the conditions under which a higher-spin string theory can be quantized. The quantizability is crucially dependent on the way in which the matter currents are realized at the classical level. In particular, we construct classical realizations for the W2,s algebra, which is generated by a primary spin-s current in addition to the energy-momentum tensor, and discuss the quantization for s≤8. From these examples we see that quantum BRST operators can exist even when there is no quantum generalization of the classical W2,s algebra. Moreover, we find that there can be several inequivalent ways of quantizing a given classical theory, leading to different BRST operators with inequivalent cohomologies. We discuss their relation to certain minimal models. We also consider the hierarchical embeddings of string theories proposed recently by Berkovits and Vafa, and show how the already known W strings provide examples of this phenomenon. Attempts to find higher-spin fermionic generalizations lead us to examine whether classical BRST operators for [Formula: see text](n odd) algebras can exist. We find that even though such fermionic algebras close up to null fields, one cannot build nilpotent BRST operators, at least of the standard form.

STUDY OF THE BRS CHARGE IN THE POLYAKOV STRING BY THE KUGO-OJIMA METHOD

1988 ◽  
Vol 03 (04) ◽  
pp. 943-951
Author(s):  
J. ABAD ◽  
R. RODRIGUEZ-TRÍAS
Keyword(s):  
String Theory ◽  
Energy Momentum Tensor ◽  
Momentum Tensor

Using the method of Kugo and Ojima we obtain the Becchi-Rouet-Stora charge in the string theory proposed by Polyakov. When a conformal improved energy-momentum tensor is used, we obtain the same BRS charge that emerges from other methods.

scholarly journals LIE SYMMETRIES OF THE ENERGY–MOMENTUM TENSOR FOR PLANE SYMMETRIC STATIC SPACETIMES

2005 ◽  
Vol 14 (05) ◽  
pp. 797-816 ◽  
Author(s):  
K. SAIFULLAH
Keyword(s):  
Lie Algebra ◽  
Explicit Form ◽  
Vector Fields ◽  
Energy Momentum Tensor ◽  
Momentum Tensor ◽  
The Other ◽  
Ricci Collineations ◽  
Plane Symmetric ◽  
Curvature Collineations ◽  
Paper Plane

Matter collineations (MCs) are the vector fields along which the energy–momentum tensor remains invariant under Lie transport. Invariance of the metric, the Ricci and the Riemann tensors have been studied extensively and the vectors along which these tensors remain invariant are called Killing vectors (KVs), Ricci collineations (RCs) and curvature collineations (CCs), respectively. In this paper, plane symmetric static spacetimes have been studied for their MCs. Explicit form of MCs together with the Lie algebra admitted by them has been presented. Examples of spacetimes have been constructed for which MCs have been compared with their RCs and KVs. The comparison shows that neither of the sets of RCs and MCs contains the other, in general.

scholarly journals ON THE BEKENSTEIN–HAWKING ENTROPY, NONCOMMUTATIVE BRANES AND LOGARITHMIC CORRECTIONS

2006 ◽  
Vol 21 (22) ◽  
pp. 4449-4461 ◽  
Author(s):  
AXEL KRAUSE
Keyword(s):  
String Theory ◽  
Event Horizon ◽  
Dimensional Space ◽  
Logarithmic Correction ◽  
Type Ii ◽  
Logarithmic Corrections ◽  
Higher Dimensional ◽  
M Theory ◽  
Microscopic Origin

We extend our earlier work on the possible microscopic origin of the Bekenstein–Hawking entropy to higher-dimensional space–times. The mechanism of counting chain-like states is shown to work for space–times with event horizon wrapped by a Euclidean doublet (E1,M1)+(E2,M2) of electric–magnetic dual brane pairs of type II string-theory or M-theory. Noncommutativity on the brane worldvolume enters naturally the derivation of the Bekenstein–Hawking entropy including the correct prefactor. Moreover, a logarithmic correction with prefactor 1/2 is predicted.

scholarly journals Energy-momentum tensor of the M-theory fivebrane

1999 ◽  
Vol 459 (1-3) ◽  
pp. 125-133 ◽  
Author(s):  
Oliver Bärwald ◽  
Neil D. Lambert ◽  
Peter C. West
Keyword(s):  
Energy Momentum Tensor ◽  
Momentum Tensor ◽  
M Theory

scholarly journals Bianchi type-II cosmological model: some remarks

Open Physics ◽  
2011 ◽  
Vol 9 (4) ◽  
Author(s):  
Bijan Saha
Keyword(s):  
Cosmological Model ◽  
Bianchi Type ◽  
Energy Momentum Tensor ◽  
Momentum Tensor ◽  
Matter Field ◽  
Type Ii ◽  
Matter Distribution ◽  
Einstein Tensor ◽  
Diagonal Component ◽  
Rotationally Symmetric

AbstractWithin the framework of a Bianchi type-II (BII) cosmological model the behavior of matter distribution has been considered. It is shown that the non-zero off-diagonal component of the Einstein tensor implies some severe restrictions on the choice of matter distribution. In particular, for a locally rotationally symmetric Bianchi type-II (LRS BII) space-time, it is proved that the matter distribution should be strictly isotropic if the corresponding matter field possesses only non-zero diagonal components of the energy-momentum tensor.

DUALITY IN STRING THEORY

2013 ◽  
Vol 10 (08) ◽  
pp. 1360003
Author(s):  
YOLANDA LOZANO
Keyword(s):  
String Theory ◽  
Recent Work ◽  
Moduli Space ◽  
Target Space ◽  
Duality Symmetry ◽  
Abelian Case ◽  
Superstring Theories ◽  
M Theory

Duality symmetries have played a key role in the discovery that the five consistent superstring theories in 10 dimensions emerge as different corners of the moduli space of a single unifying theory, known as M-theory. Focusing on the target space, or T, duality symmetry, we show how it can be formulated in spacetimes with abelian and non-abelian isometries. Finally, we discuss some recent work that realizes non-abelian T-duality as a consistent truncation to seven-dimensional supergravity, thus generalizing to the non-abelian case the realization of abelian T-duality at the supergravity level.

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