scholarly journals T-DUALITY OF p-BRANES

1996 ◽  
Vol 11 (10) ◽  
pp. 827-834 ◽  
Author(s):  
ASHOKE SEN
Keyword(s):  
Gauge Field ◽  
Imaginary Part ◽  
Heterotic String ◽  
Type Ii ◽  
Dimensional Torus ◽  
Heterotic String Theories ◽  
Z Transformation ◽  
M Theory ◽  
Kaluza Klein ◽  
String Theories

We investigate possible existence of duality symmetries which exchange the Kaluza–Klein modes with the wrapping modes of a BPS saturated p-brane on a torus. Assuming the validity of the conjectured U-duality symmetries of type-II and heterotic string theories and M-theory, we show that for a BPS saturated p-brane there is an SL (2, Z) symmetry that mixes the Kaluza–Klein modes on a (p+1)-dimensional torus T(p+1) with the wrapping modes of the p-brane on T(p+1). The field that transforms as a modular parameter under this SL (2, Z) transformation has as its real part the component of the (p+1)-form gauge field on T(p+1), and as its imaginary part the volume of T(p+1), measured in the metric that couples naturally to the p-brane.

scholarly journals Five-brane current algebras in type II string theories

2021 ◽  
Vol 2021 (3) ◽  
Author(s):  
Machiko Hatsuda ◽  
Shin Sasaki ◽  
Masaya Yata
Keyword(s):  
Poisson Bracket ◽  
Gauge Field ◽  
The Self ◽  
Dirac Bracket ◽  
Type Ii ◽  
Gauge Transformations ◽  
Transition Rules ◽  
Superstring Theories ◽  
Kaluza Klein ◽  
Current Algebras

Abstract We study the current algebras of the NS5-branes, the Kaluza-Klein (KK) five-branes and the exotic $$ {5}_2^2 $$ 5 2 2 -branes in type IIA/IIB superstring theories. Their worldvolume theories are governed by the six-dimensional $$ \mathcal{N} $$ N = (2, 0) tensor and the $$ \mathcal{N} $$ N = (1, 1) vector multiplets. We show that the current algebras are determined through the S- and T-dualities. The algebras of the $$ \mathcal{N} $$ N = (2, 0) theories are characterized by the Dirac bracket caused by the self-dual gauge field in the five-brane worldvolumes, while those of the $$ \mathcal{N} $$ N = (1, 1) theories are given by the Poisson bracket. By the use of these algebras, we examine extended spaces in terms of tensor coordinates which are the representation of ten-dimensional supersymmetry. We also examine the transition rules of the currents in the type IIA/IIB supersymmetry algebras in ten dimensions. Based on the algebras, we write down the section conditions in the extended spaces and gauge transformations of the supergravity fields.

CHIRAL (SUPER) STRING ACTIONS

1990 ◽  
Vol 05 (07) ◽  
pp. 1341-1361 ◽  
Author(s):  
S.M. KUZENKO ◽  
O.A. SOLOVIEV
Keyword(s):  
String Theory ◽  
Space Time ◽  
Heterotic String ◽  
Bosonic String ◽  
Dimensional Case ◽  
Anomaly Cancellation ◽  
Heterotic String Theory ◽  
Covariant Action ◽  
Heterotic String Theories ◽  
String Theories

We present a covariant action describing chiral bosonic string theories in space-time dimensions d<26 and a covariant (1, 0) supersymmetric action describing heterotic string theories in space-time of dimension d<10. The anomaly cancellation conditions are found. In the four-dimensional case the supersymmetric action corresponds to the SO(44) heterotic string theory.

WEYL ORBIFOLD MODELS

1996 ◽  
Vol 11 (28) ◽  
pp. 2285-2296
Author(s):  
HIDEO MIYATA ◽  
NORIYASU OHTSUBO
Keyword(s):  
Heterotic String ◽  
Modular Invariance ◽  
Gauge Groups ◽  
Heterotic String Theories ◽  
String Theories

Superstring models on Weyl orbifolds are investigated in [Formula: see text] heterotic string theories. Some of the Weyl orbifold models are shown to be consistent with worldsheet supersymmetry, N=1 spacetime supersymmetry and modular invariance. Two ways of embedding in [Formula: see text] are studied and residual gauge groups are classified.

scholarly journals (MS)SM-like models on smooth Calabi-Yau manifolds from all three heterotic string theories

2015 ◽  
Vol 63 (9-10) ◽  
pp. 609-632 ◽  
Author(s):  
Stefan Groot Nibbelink ◽  
Orestis Loukas ◽  
Fabian Ruehle
Keyword(s):  
Heterotic String ◽  
Heterotic String Theories ◽  
String Theories ◽  
Calabi Yau Manifolds

scholarly journals Niemeier Lattices in the Free Fermionic Heterotic–String Formulation

2017 ◽  
Vol 2017 ◽  
pp. 1-14 ◽  
Author(s):  
Panos Athanasopoulos ◽  
Alon E. Faraggi
Keyword(s):  
Two Dimensions ◽  
Heterotic String ◽  
Two Dimensional ◽  
Four Dimensions ◽  
Duality Symmetry ◽  
String Compactifications ◽  
Heterotic String Theories ◽  
The One ◽  
String Models ◽  
String Theories

The spinor–vector duality was discovered in free fermionic constructions of the heterotic string in four dimensions. It played a key role in the construction of heterotic–string models with an anomaly-free extra Z′ symmetry that may remain unbroken down to low energy scales. A generic signature of the low scale string derived Z′ model is via diphoton excess that may be within reach of the LHC. A fascinating possibility is that the spinor–vector duality symmetry is rooted in the structure of the heterotic–string compactifications to two dimensions. The two-dimensional heterotic–string theories are in turn related to the so-called moonshine symmetries that underlie the two-dimensional compactifications. In this paper, we embark on exploration of this connection by the free fermionic formulation to classify the symmetries of the two-dimensional heterotic–string theories. We use two complementary approaches in our classification. The first utilises a construction which is akin to the one used in the spinor–vector duality. Underlying this method is the triality property of SO(8) representations. In the second approach, we use the free fermionic tools to classify the twenty-four-dimensional Niemeier lattices.

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