scholarly journals String theory at order α′2 and the generalized Bergshoeff-de Roo identification

2021 ◽  
Vol 2021 (11) ◽  
Author(s):  
Stanislav Hronek ◽  
Linus Wulff
Keyword(s):  
Field Theory ◽  
String Theory ◽  
Strong Evidence ◽  
Degrees Of Freedom ◽  
Heterotic String ◽  
Lorentz Transformations ◽  
Covariant Formalism ◽  
Double Field Theory ◽  
Two Parameter ◽  
Parameter Deformation

Abstract It has been shown by Marques and Nunez that the first α′-correction to the bosonic and heterotic string can be captured in the O(D, D) covariant formalism of Double Field Theory via a certain two-parameter deformation of the double Lorentz transformations. This deformation in turn leads to an infinite tower of α′-corrections and it has been suggested that they can be captured by a generalization of the Bergshoeff-de Roo identification between Lorentz and gauge degrees of freedom in an extended DFT formalism. Here we provide strong evidence that this indeed gives the correct α′2-corrections to the bosonic and heterotic string by showing that it leads to a cubic Riemann term for the former but not for the latter, in agreement with the known structure of these corrections including the coefficient of Riemann cubed.

scholarly journals The generalized Bergshoeff-de Roo identification. Part II

2021 ◽  
Vol 2021 (1) ◽  
Author(s):  
W. Baron ◽  
D. Marques
Keyword(s):  
Field Theory ◽  
Second Order ◽  
Parameter Family ◽  
Heterotic String ◽  
Bosonic String ◽  
Invariant Action ◽  
Higher Derivative ◽  
Double Field Theory ◽  
Two Parameter

Abstract We recently introduced a T-duality covariant mechanism to compute all-order higher-derivative interactions in the heterotic string. Here we extend the formalism to account for a two-parameter family of corrections that also include the bosonic string and HSZ theory. We use our result to compute the full second order Double Field Theory (DFT) for generic values of the parameters, including the generalized Green-Schwarz transformation and its invariant action.

CORRELATION FUNCTIONS IN THE N=2 SUPERCONFORMAL FIELD THEORY CORRESPONDING TO A CALABI-YAU COMPACTIFICATION

1988 ◽  
Vol 03 (17) ◽  
pp. 1673-1676
Author(s):  
KEI ITO
Keyword(s):  
Field Theory ◽  
String Theory ◽  
Correlation Functions ◽  
Heterotic String ◽  
Heterotic String Theory ◽  
Superconformal Field Theory ◽  
Point Correlation

The four-point correlation functions are calculated in the N=2 superconformal field theory corresponding to a Calabi-Yau compactification of the heterotic string theory.

scholarly journals Dynamics of perturbations in Double Field Theory & non-relativistic string theory

2015 ◽  
Vol 2015 (12) ◽  
pp. 1-33 ◽  
Author(s):  
Sung Moon Ko ◽  
Charles M. Melby-Thompson ◽  
René Meyer ◽  
Jeong-Hyuck Park
Keyword(s):  
Field Theory ◽  
String Theory ◽  
Relativistic String ◽  
Double Field Theory

scholarly journals SHAPE OF GAUGE FIELD TADPOLES IN HETEROTIC STRING THEORY

2005 ◽  
Vol 20 (03) ◽  
pp. 155-168
Author(s):  
STEFAN GROOT NIBBELINK
Keyword(s):  
Field Theory ◽  
Fixed Point ◽  
String Theory ◽  
Fixed Points ◽  
Gauge Field ◽  
Heterotic String ◽  
Heterotic String Theory

Orbifolds in field theory are potentially singular objects for at their fixed points the curvature becomes infinite, therefore one may wonder whether field theory calculations near orbifold singularities can be trusted. String theory is perfectly well defined on orbifolds and can therefore be taken as a UV completion of field theory on orbifolds. We investigate the properties of field and string theory near orbifold singularities by reviewing the computation of a one-loop gauge field tadpole. We find that in string theory the twisted states give contributions that have a spread of a couple of string lengths around the singularity, but otherwise the field theory picture is confirmed. One additional surprise is that in some orbifold models one can identify local tachyons that give contributions near the orbifold fixed point.

scholarly journals The OD, D geometry of string theory

2014 ◽  
Vol 29 (15) ◽  
pp. 1450080 ◽  
Author(s):  
David S. Berman ◽  
Chris D. A. Blair ◽  
Emanuel Malek ◽  
Malcolm J. Perry
Keyword(s):  
Field Theory ◽  
String Theory ◽  
Covariant Derivative ◽  
Double Field Theory ◽  
Metric Connection

We construct an action for double field theory using a metric connection that is compatible with both the generalised metric and the OD, D structure. The connection is simultaneously torsionful and flat. Using this connection, one may construct a proper covariant derivative for double field theory. We then write the doubled action in terms of the generalised torsion of this connection. This action then exactly reproduces that required for double field theory and gauged supergravity.

scholarly journals Non-Riemannian isometries from double field theory

2021 ◽  
Vol 2021 (4) ◽  
Author(s):  
Chris D. A. Blair ◽  
Gerben Oling ◽  
Jeong-Hyuck Park
Keyword(s):  
Field Theory ◽  
String Theory ◽  
Relativistic String ◽  
Noether Symmetries ◽  
Dimensional Algebra ◽  
Infinite Dimensional ◽  
Killing Spinors ◽  
Double Field Theory ◽  
Riemannian Geometries ◽  
Killing Equations

Abstract We explore the notion of isometries in non-Riemannian geometries. Such geometries include and generalise the backgrounds of non-relativistic string theory, and they can be naturally described using the formalism of double field theory. Adopting this approach, we first solve the corresponding Killing equations for constant flat non-Riemannian backgrounds and show that they admit an infinite-dimensional algebra of isometries which includes a particular type of supertranslations. These symmetries correspond to known worldsheet Noether symmetries of the Gomis-Ooguri non-relativistic string, which we now interpret as isometries of its non-Riemannian doubled background. We further consider the extension to supersymmetric double field theory and show that the corresponding Killing spinors can depend arbitrarily on the non-Riemannian directions, leading to “supersupersymmetries” that square to supertranslations.

EFFECTIVE ACTIONS FOR HETEROTIC STRING THEORY

1994 ◽  
Vol 03 (01) ◽  
pp. 285-288 ◽  
Author(s):  
HAN SUELMANN
Keyword(s):  
Field Theory ◽  
String Theory ◽  
Standard Model ◽  
Perturbation Expansion ◽  
String Tension ◽  
Heterotic String ◽  
Heterotic String Theory ◽  
Normal Field ◽  
The Standard Model ◽  
Physical Fields

Heterotic String Theory is an attempt to construct a description of nature that is more satisfying than the Standard Model. A major problem is that it is very difficult to do explicit calculations in string theory. Therefore, it is useful to construct a ’normal’ field theory that approximates HST. The way to construct such a field theory is described briefly. The result is a perturbation expansion in some parameter α′. related to the inverse string tension. There are problems concerning the supersymmetrisation of the [Formula: see text] contribution. These may be caused by the assumption that the action can be written in terms of a local Lagrangian of the physical fields only.

scholarly journals CHARGING INTERACTING ROTATING BLACK HOLES IN HETEROTIC STRING THEORY

2004 ◽  
Vol 19 (30) ◽  
pp. 2299-2315 ◽  
Author(s):  
ALFREDO HERRERA-AGUILAR
Keyword(s):  
Field Theory ◽  
Black Holes ◽  
String Theory ◽  
Effective Field Theory ◽  
Effective Field ◽  
Low Energy ◽  
Heterotic String ◽  
Target Space ◽  
Heterotic String Theory ◽  
Rotating Black Holes

We present a formulation of the stationary bosonic string sector of the whole toroidally compactified effective field theory of the heterotic string as a double Ernst system which, in the framework of general relativity describes, in particular, a pair of interacting spinning black holes; however, in the framework of low-energy string theory the double Ernst system can in particular be interpreted as the rotating field configuration of two interacting sources of black hole type coupled to dilaton and Kalb–Ramond fields. We clarify the rotating character of the Btφ-component of the antisymmetric tensor field of Kalb–Ramond and discuss on its possible torsion nature. We also recall the fact that the double Ernst system possesses a discrete symmetry which is used to relate physically different string vacua. Therefore we apply the normalized Harrison transformation (a charging symmetry which acts on the target space of the low-energy heterotic string theory preserving the asymptotics of the transformed fields and endowing them with multiple electromagnetic charges) on a generic solution of the double Ernst system and compute the generated field configurations for the 4-D effective field theory of the heterotic string. This transformation generates the U (1)n vector field content of the whole low-energy heterotic string spectrum and gives rise to a pair of interacting rotating black holes endowed with dilaton, Kalb–Ramond and multiple electromagnetic fields where the charge vectors are orthogonal to each other.

scholarly journals Chern-Weil global symmetries and how quantum gravity avoids them

2021 ◽  
Vol 2021 (11) ◽  
Author(s):  
Ben Heidenreich ◽  
Jacob McNamara ◽  
Miguel Montero ◽  
Matthew Reece ◽  
Tom Rudelius ◽  
...  
Keyword(s):  
Field Theory ◽  
String Theory ◽  
Quantum Gravity ◽  
Global Symmetries ◽  
Effective Field Theory ◽  
Degrees Of Freedom ◽  
Effective Field ◽  
Global Symmetry ◽  
Unified Framework ◽  
Particle Phenomenology

Abstract We draw attention to a class of generalized global symmetries, which we call “Chern-Weil global symmetries,” that arise ubiquitously in gauge theories. The Noether currents of these Chern-Weil global symmetries are given by wedge products of gauge field strengths, such as F2 ∧ H3 and tr($$ {F}_2^2 $$ F 2 2 ), and their conservation follows from Bianchi identities. As a result, they are not easy to break. However, it is widely believed that exact global symmetries are not allowed in a consistent theory of quantum gravity. As a result, any Chern-Weil global symmetry in a low-energy effective field theory must be either broken or gauged when the theory is coupled to gravity. In this paper, we explore the processes by which Chern-Weil symmetries may be broken or gauged in effective field theory and string theory. We will see that many familiar phenomena in string theory, such as axions, Chern-Simons terms, worldvolume degrees of freedom, and branes ending on or dissolving in other branes, can be interpreted as consequences of the absence of Chern-Weil symmetries in quantum gravity, suggesting that they might be general features of quantum gravity. We further discuss implications of breaking and gauging Chern-Weil symmetries for particle phenomenology and for boundary CFTs of AdS bulk theories. Chern-Weil global symmetries thus offer a unified framework for understanding many familiar aspects of quantum field theory and quantum gravity.

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