scholarly journals Matrix theory for the discrete light-cone quantization of type IIB string theory on the AdS and/or plane-wave background

2007 ◽  
Vol 76 (2) ◽  
Author(s):  
Mahdi Torabian
Keyword(s):  
String Theory ◽  
Plane Wave ◽  
Light Cone ◽  
Matrix Theory ◽  
Light Cone Quantization ◽  
Type Iib String Theory ◽  
Plane Wave Background

scholarly journals Solvable type IIA string theory in plane-wave background and D-branes

2003 ◽  
Vol 654 (1-2) ◽  
pp. 114-134 ◽  
Author(s):  
Seungjoon Hyun ◽  
Hyeonjoon Shin
Keyword(s):  
String Theory ◽  
Plane Wave ◽  
Plane Wave Background ◽  
Solvable Type

scholarly journals Matrix Theory Interpretation of Discrete Light Cone Quantization String Worldsheets

2000 ◽  
Vol 85 (16) ◽  
pp. 3343-3346 ◽  
Author(s):  
G. Grignani ◽  
P. Orland ◽  
L. D. Paniak ◽  
G. W. Semenoff
Keyword(s):  
Light Cone ◽  
Matrix Theory ◽  
Light Cone Quantization ◽  
Theory Interpretation

scholarly journals Anomalies for Galilean fields

2018 ◽  
Vol 5 (1) ◽  
Author(s):  
Kristan Jensen
Keyword(s):  
String Theory ◽  
Systematic Study ◽  
Relativistic Theory ◽  
Light Cone ◽  
Field Theories ◽  
One Dimension ◽  
Conformal Field Theories ◽  
Spacetime Dimension ◽  
Conformal Field ◽  
Light Cone Quantization

We initiate a systematic study of ‘t Hooft anomalies in Galilean field theories, focusing on two questions therein. In the first, we consider the non-relativistic theories obtained from a discrete light-cone quantization (DLCQ) of a relativistic theory with flavor or gravitational anomalies. We find that these anomalies survive the DLCQ, becoming mixed flavor/boost or gravitational/boost anomalies. We also classify the pure Weyl anomalies of Schrödinger theories, which are Galilean conformal field theories (CFTs) with z=2z=2. There are no pure Weyl anomalies in even spacetime dimension, and the lowest-derivative anomalies in odd dimension are in one-to-one correspondence with those of a relativistic CFT in one dimension higher. These results classify many of the anomalies that arise in the field theories dual to string theory on Schrödinger spacetimes.

scholarly journals A Representation of Symmetry Generators for Type IIB Superstring on a Plane Wave in the U(4) Formalism

2003 ◽  
Vol 18 (19) ◽  
pp. 1317-1323
Author(s):  
Gautam Trivedi
Keyword(s):  
Plane Wave ◽  
Light Cone ◽  
Explicit Realization ◽  
Symmetry Generators ◽  
Plane Wave Background

We calculate the symmetry currents for type IIB superstring on a maximally supersymmetric plane wave background using the N = (2,2) superconformally covariant U(4) formulation developed by Berkovits, Maldacena and Maoz. An explicit realization of the U(4) generators together with 16 fermionic generators is obtained in terms of the N = (2,2) worldsheet fields. As the action is no longer quadratic, we use a light-cone version to display the currents in terms of the covariant worldsheet variables.

scholarly journals 5d and 4d SCFTs: canonical singularities, trinions and S-dualities

2021 ◽  
Vol 2021 (5) ◽  
Author(s):  
Cyril Closset ◽  
Simone Giacomelli ◽  
Sakura Schäfer-Nameki ◽  
Yi-Nan Wang
Keyword(s):  
String Theory ◽  
Field Theories ◽  
Flavor Symmetry ◽  
Crepant Resolution ◽  
Superconformal Field Theories ◽  
Hypersurface Singularities ◽  
Canonical Singularities ◽  
Type Iib String Theory ◽  
M Theory

Abstract Canonical threefold singularities in M-theory and Type IIB string theory give rise to superconformal field theories (SCFTs) in 5d and 4d, respectively. In this paper, we study canonical hypersurface singularities whose resolutions contain residual terminal singularities and/or 3-cycles. We focus on a certain class of ‘trinion’ singularities which exhibit these properties. In Type IIB, they give rise to 4d $$ \mathcal{N} $$ N = 2 SCFTs that we call $$ {D}_p^b $$ D p b (G)-trinions, which are marginal gaugings of three SCFTs with G flavor symmetry. In order to understand the 5d physics of these trinion singularities in M-theory, we reduce these 4d and 5d SCFTs to 3d $$ \mathcal{N} $$ N = 4 theories, thus determining the electric and magnetic quivers (or, more generally, quiverines). In M-theory, residual terminal singularities give rise to free sectors of massless hypermultiplets, which often are discretely gauged. These free sectors appear as ‘ugly’ components of the magnetic quiver of the 5d SCFT. The 3-cycles in the crepant resolution also give rise to free hypermultiplets, but their physics is more subtle, and their presence renders the magnetic quiver ‘bad’. We propose a way to redeem the badness of these quivers using a class $$ \mathcal{S} $$ S realization. We also discover new S-dualities between different $$ {D}_p^b $$ D p b (G)-trinions. For instance, a certain E8 gauging of the E8 Minahan-Nemeschansky theory is S-dual to an E8-shaped Lagrangian quiver SCFT.

scholarly journals The holographic conformal manifold of 3d $$ \mathcal{N} $$ = 2 S-fold SCFTs

2021 ◽  
Vol 2021 (7) ◽  
Author(s):  
Nikolay Bobev ◽  
Friðrik Freyr Gautason ◽  
Jesse van Muiden
Keyword(s):  
String Theory ◽  
Three Dimensional ◽  
Parameter Family ◽  
Global Symmetry ◽  
Maximal Supergravity ◽  
All Solutions ◽  
Operator Spectrum ◽  
Type Iib String Theory ◽  
Two Parameter

Abstract We employ a non-compact gauging of four-dimensional maximal supergravity to construct a two-parameter family of AdS4 J-fold solutions preserving $$ \mathcal{N} $$ N = 2 supersymmetry. All solutions preserve $$ \mathfrak{u} $$ u (1) × $$ \mathfrak{u} $$ u (1) global symmetry and in special limits we recover the previously known $$ \mathfrak{su} $$ su (2) × $$ \mathfrak{u} $$ u (1) invariant $$ \mathcal{N} $$ N = 2 and $$ \mathfrak{su} $$ su (2) × $$ \mathfrak{su} $$ su (2) invariant $$ \mathcal{N} $$ N = 4 J-fold solutions. This family of AdS4 backgrounds can be uplifted to type IIB string theory and is holographically dual to the conformal manifold of a class of three-dimensional S-fold SCFTs obtained from the $$ \mathcal{N} $$ N = 4 T [U(N)] theory of Gaiotto-Witten. We find the spectrum of supergravity excitations of the AdS4 solutions and use it to study how the operator spectrum of the three-dimensional SCFT depends on the exactly marginal couplings.

scholarly journals An overview of branes in the plane wave background

2003 ◽  
Vol 20 (12) ◽  
pp. S567-S573 ◽  
Author(s):  
Kostas Skenderis ◽  
Marika Taylor
Keyword(s):  
Plane Wave ◽  
Plane Wave Background

scholarly journals A REVIEW OF INTEGRABLE DEFORMATIONS IN AdS/CFT

2007 ◽  
Vol 22 (13) ◽  
pp. 915-930 ◽  
Author(s):  
IAN SWANSON
Keyword(s):  
String Theory ◽  
Bethe Ansatz ◽  
Energy Spectra ◽  
Yang Mills ◽  
Twisted String ◽  
Pp Wave ◽  
Integrable Deformations ◽  
Type Iib String Theory ◽  
Bethe Equations ◽  
Wave Limit

Marginal β deformations of [Formula: see text] super-Yang–Mills theory are known to correspond to a certain class of deformations of the S5 background subspace of type IIB string theory in AdS5×S5. An analogous set of deformations of the AdS5 subspace is reviewed here. String energy spectra computed in the near-pp-wave limit of these backgrounds match predictions encoded by discrete, asymptotic Bethe equations, suggesting that the twisted string theory is classically integrable in this regime. These Bethe equations can be derived algorithmically by relying on the existence of Lax representations, and on the Riemann–Hilbert interpretation of the thermodynamic Bethe ansatz. This letter is a review of a seminar given at the Institute for Advanced Study, based on research completed in collaboration with McLoughlin.

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