scholarly journals A Penrose limit for type IIB AdS6 solutions

2021 ◽  
Vol 2021 (7) ◽  
Author(s):  
Michael Gutperle ◽  
Nicholas Klein
Keyword(s):  
Riemann Surface ◽  
Gauge Theories ◽  
Null Geodesic ◽  
Two Dimensional ◽  
Unique Point ◽  
World Sheet ◽  
Light Cone Gauge ◽  
The World ◽  
Pp Wave ◽  
Penrose Limit

Abstract In this paper a Penrose limit is constructed for type IIB AdS6× S2× Σ supergravity solutions. These solutions are dual to five dimensional SCFTs related to (p,q) five brane webs, which can often be described in terms of long quiver gauge theories. The null geodesic from which the Penrose limit is constructed is localized at a unique point on the two dimensional Riemann surface Σ, where the AdS6 and S2 metric factors are extremal. The resulting pp-wave spacetime takes a universal form. The world sheet action of the Green-Schwarz string is quadratic in the light cone gauge and the spectrum of string excitations is obtained.

scholarly journals ON SIX-DIMENSIONAL FUNDAMENTAL SUPERSTRINGS AS HOLOGRAMS

2009 ◽  
Vol 24 (01) ◽  
pp. 141-159 ◽  
Author(s):  
MOHSEN ALISHAHIHA ◽  
SUBIR MUKHOPADHYAY
Keyword(s):  
Field Theory ◽  
Conformal Field Theory ◽  
Sigma Model ◽  
Two Dimensional ◽  
World Sheet ◽  
Black String ◽  
Light Cone Gauge ◽  
Conformal Field ◽  
The World ◽  
Horizon Geometry

In this paper we discuss a possible holographic dual of the two-dimensional conformal field theory associated with the world-sheet of a macroscopic superstring in a compactification on a four-torus. We assume that the near-horizon geometry of the black string has symmetries of AdS 3×S3×T4 and construct a sigma model in the bulk. Analyzing the symmetries of the bulk theory and comparing them with those of the CFT in a special light-cone gauge, we find agreement between global symmetries. Due to nonstandard gauge realization it is not clear how affine symmetries can be realized.

scholarly journals Long way to Ricci flatness

2020 ◽  
Vol 2020 (10) ◽  
Author(s):  
Jin Chen ◽  
Chao-Hsiang Sheu ◽  
Mikhail Shifman ◽  
Gianni Tallarita ◽  
Alexei Yung
Keyword(s):  
Sigma Model ◽  
Ultra Violet ◽  
The Other ◽  
Target Space ◽  
Linear Sigma Model ◽  
Close Relative ◽  
Two Dimensional ◽  
World Sheet ◽  
Ricci Flat ◽  
The World

Abstract We study two-dimensional weighted $$ \mathcal{N} $$ N = (2) supersymmetric ℂℙ models with the goal of exploring their infrared (IR) limit. 𝕎ℂℙ(N,$$ \tilde{N} $$ N ˜ ) are simplified versions of world-sheet theories on non-Abelian strings in four-dimensional $$ \mathcal{N} $$ N = 2 QCD. In the gauged linear sigma model (GLSM) formulation, 𝕎ℂℙ(N,$$ \tilde{N} $$ N ˜ ) has N charges +1 and $$ \tilde{N} $$ N ˜ charges −1 fields. As well-known, at $$ \tilde{N} $$ N ˜ = N this GLSM is conformal. Its target space is believed to be a non-compact Calabi-Yau manifold. We mostly focus on the N = 2 case, then the Calabi-Yau space is a conifold. On the other hand, in the non-linear sigma model (NLSM) formulation the model has ultra-violet logarithms and does not look conformal. Moreover, its metric is not Ricci-flat. We address this puzzle by studying the renormalization group (RG) flow of the model. We show that the metric of NLSM becomes Ricci-flat in the IR. Moreover, it tends to the known metric of the resolved conifold. We also study a close relative of the 𝕎ℂℙ model — the so called zn model — which in actuality represents the world sheet theory on a non-Abelian semilocal string and show that this zn model has similar RG properties.

Beta functions in Chirally deformed supersymmetric sigma models in two dimensions

2016 ◽  
Vol 31 (28n29) ◽  
pp. 1645040
Author(s):  
Arkady Vainshtein
Keyword(s):  
Sigma Models ◽  
Two Dimensions ◽  
Two Dimensional ◽  
World Sheet ◽  
Yang Mills ◽  
Anomalous Dimensions ◽  
Straightforward Method ◽  
The World ◽  
Original Formula

We study two-dimensional sigma models where the chiral deformation diminished the original [Formula: see text] supersymmetry to the chiral one, [Formula: see text]. Such heterotic models were discovered previously on the world sheet of non-Abelian stringy solitons supported by certain four-dimensional [Formula: see text] theories. We study geometric aspects and holomorphic properties of these models, and derive a number of exact expressions for the [Formula: see text] functions in terms of the anomalous dimensions analogous to the NSVZ [Formula: see text] function in four-dimensional Yang-Mills. Instanton calculus provides a straightforward method for the derivation.

scholarly journals ON HIGHER-SPIN GENERALIZATIONS OF STRING THEORY

1994 ◽  
Vol 09 (09) ◽  
pp. 1527-1543 ◽  
Author(s):  
H. LU ◽  
C. N. POPE ◽  
X. J. WANG
Keyword(s):  
String Theory ◽  
Gauge Field ◽  
Virasoro Algebra ◽  
Two Dimensional ◽  
Minimal Models ◽  
World Sheet ◽  
The World ◽  
Higher Spin ◽  
String Theories

We construct BRST operators for certain higher-spin extensions of the Virasoro algebra, in which there is a spin-s gauge field on the world sheet, as well as the spin-2 gauge field corrresponding to the two-dimensional metric. We use these BRST operators to study the physical states of the associated string theories, and show how they are related to certain minimal models.

scholarly journals On the mass of the world-sheet ‘axion’ in SU(N) gauge theories in 3 + 1 dimensions

2017 ◽  
Vol 771 ◽  
pp. 408-414 ◽  
Author(s):  
Andreas Athenodorou ◽  
Michael Teper
Keyword(s):  
Gauge Theories ◽  
World Sheet ◽  
The World

scholarly journals Non-Abelian strings in N = 1 supersymmetric QCD

2018 ◽  
Vol 191 ◽  
pp. 06003
Author(s):  
Evgenii Ievlev ◽  
Alexei Yung
Keyword(s):  
Abelian Group ◽  
Mass Term ◽  
Effective Theory ◽  
Two Dimensional ◽  
World Sheet ◽  
Flux Tubes ◽  
Zero Modes ◽  
Fermionic Sector ◽  
The World ◽  
Quark Flavors

Non-Abelian flux tubes (strings) are well studied in N = 2 supersymmetric QCD in (3+1) dimensions. In addition to translational zero modes they have also orientational moduli associated with rotations of their fluxes inside a non- Abelian group. The dynamics of the orientational moduli is described by the two dimensional CP(N - 1) model living on the world sheet of the non-Abelian string. In this paper we consider a deformation of N = 2 supersymmetric QCD with the U(N) gauge group and Nf = N quark flavors with a mass term μ of the adjoint matter. In the limit of large μ the theory flows to an N = 1 supersymmetric QCD. We study the solution for the non-Abelian string in this limit and derive an effective theory on the string world sheet. The bosonic sector of this theory is still given by the CP(N -1) model. We study also the fermionic sector of the world sheet theory. Upon the deformation the non-Abelian string is no longer BPS and we show that the fermionic superorientational zero modes are all lifted. This leaves us with the pure bosonic CP(N-1) model on the string world sheet in the limit of N = 1 QCD. We discuss what happens to confined monopoles at large μ.

A FUNCTIONAL LIGHT-CONE GAUGE CONSTRUCTION OF A BOSONIC STRING COMPACTIFIED ON A TORUS

1988 ◽  
Vol 03 (02) ◽  
pp. 451-486 ◽  
Author(s):  
P.C. BRESSLOFF ◽  
J.G. TAYLOR ◽  
A. RESTUCCIA
Keyword(s):  
Open String ◽  
Bosonic String ◽  
Complex Conjugate ◽  
World Sheet ◽  
Light Cone Gauge ◽  
Open Strings ◽  
The World ◽  
Left And Right ◽  
Quantized Field ◽  
String Amplitudes

The closed bosonic string compactified on a torus is decomposed into two open strings corresponding to left and right movers respectively. Multiloop amplitudes are expressed as a product of a holomorphic and an anti-holomorphic function of the moduli of the world-sheet Riemann surface. Such a product is obtained by analytically continuing left and right open string amplitudes such that one is the complex conjugate of the other. A justification for this analytic continuation is provided using a second quantized field theory of strings. The extra parameters needed for complexification are shown to arise from the constraint expressing invariance under choice of origin for string parametrization. The chiral string is discussed.

scholarly journals PHYSICAL STATES IN TWO-DIMENSIONAL TOPOLOGICAL GAUGE THEORIES

1993 ◽  
Vol 08 (17) ◽  
pp. 1603-1609
Author(s):  
YOSHIAKI TANII ◽  
MASAKAZU YAMASHITA
Keyword(s):  
Infinite Number ◽  
Light Cone ◽  
Gauge Theories ◽  
Two Dimensional ◽  
Light Cone Gauge ◽  
Abelian Theory

Physical states of two-dimensional topological gauge theories are studied using the BRST formalism in the light-cone gauge. All physical states are obtained for the Abelian theory. An infinite number of physical states with different ghost numbers exist. Simple examples of physical states in a non-Abelian theory are also given.

scholarly journals JT gravity limit of Liouville CFT and matrix model

2021 ◽  
Vol 2021 (11) ◽  
Author(s):  
Kenta Suzuki ◽  
Tadashi Takayanagi
Keyword(s):  
String Theory ◽  
Matrix Model ◽  
Semiclassical Limit ◽  
Liouville Theory ◽  
Partition Functions ◽  
Two Dimensional ◽  
De Sitter ◽  
World Sheet ◽  
Boundary Terms ◽  
The World

Abstract In this paper we study a connection between Jackiw-Teitelboim (JT) gravity on two-dimensional anti de-Sitter spaces and a semiclassical limit of c < 1 two-dimensional string theory. The world-sheet theory of the latter consists of a space-like Liouville CFT coupled to a non-rational CFT defined by a time-like Liouville CFT. We show that their actions, disk partition functions and annulus amplitudes perfectly agree with each other, where the presence of boundary terms plays a crucial role. We also reproduce the boundary Schwarzian theory from the Liouville theory description. Then, we identify a matrix model dual of our two-dimensional string theory with a specific time-dependent background in c = 1 matrix quantum mechanics. Finally, we also explain the corresponding relation for the two-dimensional de-Sitter JT gravity.

ON THE BRST APPROACH TO TWO-DIMENSIONAL GAUGE THEORIES IN THE LIGHT-CONE GAUGE

1990 ◽  
Vol 05 (12) ◽  
pp. 927-933 ◽  
Author(s):  
YOSHIAKI TANII
Keyword(s):  
Scalar Field ◽  
Gauge Field ◽  
Physical Meaning ◽  
Light Cone ◽  
Gauge Theories ◽  
Two Dimensional ◽  
Light Cone Gauge ◽  
Brst Charge

The physical meaning of the second BRST-like charge, which exists in addition to the ordinary BRST charge in two-dimensional gauge theories in the light-cone gauge, is clarified. It results from the redundancy of the parametrization of the gauge field in terms of a group-valued scalar field and has a similar structure to the ordinary one.

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