scholarly journals Low-energy effective actions in N=2, 4 superconformal theories in four dimensions

2000 ◽  
Vol 62 (4) ◽  
Author(s):  
I. L. Buchbinder ◽  
S. M. Kuzenko ◽  
A. A. Tseytlin
Keyword(s):  
Low Energy ◽  
Four Dimensions ◽  
Superconformal Theories

scholarly journals More on holographic correlators: twisted and dimensionally reduced structures

2021 ◽  
Vol 2021 (4) ◽  
Author(s):  
Connor Behan ◽  
Pietro Ferrero ◽  
Xinan Zhou
Keyword(s):  
Field Theory ◽  
Theoretical Data ◽  
Infinite Family ◽  
Tree Level ◽  
Chiral Algebra ◽  
Perfect Agreement ◽  
Four Dimensions ◽  
Independent Field ◽  
Superconformal Theories ◽  
Emergent Structure

Abstract Recently four-point holographic correlators with arbitrary external BPS operators were constructively derived in [1, 2] at tree-level for maximally superconformal theories. In this paper, we capitalize on these theoretical data, and perform a detailed study of their analytic properties. We point out that these maximally supersymmetric holographic correlators exhibit a hidden dimensional reduction structure à la Parisi and Sourlas. This emergent structure allows the correlators to be compactly expressed in terms of only scalar exchange diagrams in a dimensionally reduced spacetime, where formally both the AdS and the sphere factors have four dimensions less. We also demonstrate the superconformal properties of holographic correlators under the chiral algebra and topological twistings. For AdS5× S5 and AdS7× S4, we obtain closed form expressions for the meromorphic twisted correlators from the maximally R-symmetry violating limit of the holographic correlators. The results are compared with independent field theory computations in 4d $$ \mathcal{N} $$ N = 4 SYM and the 6d (2, 0) theory, finding perfect agreement. For AdS4× S7, we focus on an infinite family of near-extremal four-point correlators, and extract various protected OPE coefficients from supergravity. These OPE coefficients provide new holographic predictions to be matched by future supersymmetric localization calculations. In deriving these results, we also develop many technical tools which should have broader applicability beyond studying holographic correlators.

scholarly journals A FOUR-DIMENSIONAL SUPERSTRING FROM THE BOSONIC STRING WITH SOME APPLICATIONS

2005 ◽  
Vol 20 (01) ◽  
pp. 99-128 ◽  
Author(s):  
B. B. DEO ◽  
L. MAHARANA
Keyword(s):  
Standard Model ◽  
Central Charge ◽  
Virasoro Algebra ◽  
Low Energy ◽  
Majorana Fermions ◽  
Modular Invariance ◽  
Model Group ◽  
Supersymmetry Algebra ◽  
Four Dimensions ◽  
Bosonic Representation

A string in four dimensions is constructed by supplementing it with 44 Majorana fermions. The later are represented by 11 vectors in the bosonic representation SO (D-1,1). The central charge is 26. The fermions are grouped in such a way that the resulting action is worldsheet supersymmetric. The energy–momentum and current generators satisfy the super-Virasoro algebra. GSO projections are necessary for proving modular invariance. Space–time supersymmetry algebra is deduced and is substantiated for specific modes of zero mass. The symmetry group of the model can descend to the low energy standard model group SU (3)× SU L(2)× U Y(1) through the Pati–Salam group.

scholarly journals A NONSINGULAR UNIVERSE IN STRING COSMOLOGY

1999 ◽  
Vol 08 (01) ◽  
pp. 43-49 ◽  
Author(s):  
A. A. AL-NOWAISER ◽  
MURAT ÖZER ◽  
M. O. TAHA
Keyword(s):  
General Relativity ◽  
Central Charge ◽  
Energy Condition ◽  
Homogeneous Solution ◽  
Low Energy ◽  
Leading Order ◽  
Tensor Fields ◽  
Strong Energy Condition ◽  
Four Dimensions ◽  
Strong Energy

We consider the low-energy effective string action in four dimensions including the leading order-α′ terms. An exact homogeneous solution is obtained. It represents a nonsingular expanding cosmological model in which the tensor fields tend to vanish as t→∞. The scale factor a(t) of the very early universe in this model has the time dependence [Formula: see text]. The violation of the strong energy condition of classical General Relativity to avoid the initial singularity requires that the central charge deficit of the theory be larger than a certain value. The significance of this solution is discussed.

scholarly journals Correlation functions of spinor current multiplets in $$ \mathcal{N} $$ = 1 superconformal theory

2021 ◽  
Vol 2021 (7) ◽  
Author(s):  
Evgeny I. Buchbinder ◽  
Jessica Hutomo ◽  
Sergei M. Kuzenko
Keyword(s):  
Field Theory ◽  
Correlation Functions ◽  
Field Theories ◽  
Point Function ◽  
Superconformal Field Theories ◽  
Superconformal Symmetry ◽  
Four Dimensions ◽  
Superconformal Field Theory ◽  
Superconformal Theories ◽  
Spinor Current

Abstract We consider $$ \mathcal{N} $$ N = 1 superconformal field theories in four dimensions possessing an additional conserved spinor current multiplet Sα and study three-point functions involving such an operator. A conserved spinor current multiplet naturally exists in superconformal theories with $$ \mathcal{N} $$ N = 2 supersymmetry and contains the current of the second supersymmetry. However, we do not assume $$ \mathcal{N} $$ N = 2 supersymmetry. We show that the three-point function of two spinor current multiplets and the $$ \mathcal{N} $$ N = 1 supercurrent depends on three independent tensor structures and, in general, is not contained in the three-point function of the $$ \mathcal{N} $$ N = 2 supercurrent. It then follows, based on symmetry considerations only, that the existence of one more Grassmann odd current multiplet in $$ \mathcal{N} $$ N = 1 superconformal field theory does not necessarily imply $$ \mathcal{N} $$ N = 2 superconformal symmetry.

FLIPPED SU(6) FROM TEN DIMENSIONS

1990 ◽  
Vol 05 (12) ◽  
pp. 2359-2390 ◽  
Author(s):  
C. PANAGIOTAKOPOULOS
Keyword(s):  
Discrete Symmetries ◽  
Model Building ◽  
Realistic Model ◽  
Low Energy ◽  
Internal Space ◽  
Fast Proton ◽  
Hierarchy Problem ◽  
Four Dimensions ◽  
Gauge Hierarchy ◽  
Breaking Scale

We study the compactification of the heterotic superstring on the only known three generation Calabi-Yau space with flux breakings leading to SU (6) × U (1) as the gauge group in four dimensions. We compute the 'massless' spectrum and identify the discrete symmetries of the internal space that survive flux breaking. The possible four-dimensional models are classified according to their honest discrete symmetries. The allowed breaking chains of SU (6) × U (1) are listed. Model building with SU (6) × U (1) is discussed in general and a concrete realistic model is constructed which does not suffer from the gauge hierarchy problem, fast proton decay or any other obvious phenomenological disaster. A distinct experimental signature of this class of models is the presence in the low energy spectrum of vector-like quarks and antiquarks, outside the three known families, with masses of the order of the supersymmetry breaking scale.

scholarly journals MATTER-COUPLED SUPERGRAVITY WITH GAUSS-BONNET INVARIANTS: COMPONENT LAGRANGIAN AND SUPERSYMMETRY BREAKING

1988 ◽  
Vol 03 (07) ◽  
pp. 1675-1733 ◽  
Author(s):  
S. CECOTTI ◽  
S. FERRARA ◽  
L. GIRARDELLO ◽  
A. PASQUINUCCI ◽  
M. PORRATI
Keyword(s):  
Supersymmetry Breaking ◽  
Scalar Potential ◽  
Low Energy ◽  
Closed Form Expression ◽  
Physical Vacuum ◽  
Energy Limit ◽  
Form Expression ◽  
Four Dimensions ◽  
Heterotic Strings ◽  
Infinite Mass

We present the component Lagrangian for the general coupling of N=1 matter to a higher curvature four-dimensional supergravity in which the (curvature)2 terms enter the Lagrangian only through the Gauss-Bonnet and Hirzebruch invariants. This is the situation suggested by the low-energy limit of heterotic strings, after compactification to four dimensions. The model obtained from the string by SU(3)-invariant truncation of the toroidal compactification is discussed in detail. We give the closed-form expression for the scalar potential and discuss supersymmetry breaking via gaugino condensation. We show that, in this last case, the cosmological constant Λ remains exactly zero even when the higher curvature corrections are taken into account. We also discuss briefly the problem of auxiliary field propagation and show that the spurious states decouple (i.e. they get an infinite mass) on the physical vacuum with Λ=0, irrespective of whether SUSY is broken or not. Some new, stringy, developments are discussed in the last section.

scholarly journals EXACT LOW-ENERGY EFFECTIVE ACTIONS FOR HYPERMULTIPLETS IN FOUR DIMENSIONS

2000 ◽  
Vol 15 (17) ◽  
pp. 2661-2713
Author(s):  
SERGEI V. KETOV
Keyword(s):  
Low Energy ◽  
Nonlinear Sigma Model ◽  
Kahler Geometry ◽  
Harmonic Superspace ◽  
N Transformations ◽  
Four Dimensions ◽  
Supersymmetric Gauge ◽  
Supersymmetric Nonlinear Sigma Model ◽  
Quartic Polynomials

We consider the general hypermultiplet low-energy effective action (LEEA) that may appear in quantized, four-dimensional, N=2 supersymmetric, gauge theories, e.g. in the Coulomb and Higgs branches. Our main purpose is a description of the exact LEEA of n magnetically charged hypermultiplets. The hypermultiplet LEEA is given by the N=2 supersymmetric nonlinear sigma-model (NLSM) with a 4n-dimensional hyper-Kähler metric, subject to nonanomalous symmetries. Harmonic superspace (HSS) and the NLSM isometries are very useful to constrain the hyper-Kähler geometry of the LEEA. We use N=2 supersymmetric projections of HSS superfields to N=2 linear (tensor) O(2) and O(4) multiplets in N=2projective superspace (PSS) to deduce the explicit form of the LEEA in some particular cases. As the by-product, a simple new classification of all multimonopole moduli space metrics having su (2)R symmetry is proposed in terms of real quartic polynomials of 2n variables, modulo Sp (n) transformations. The 4d hypermultiplet LEEA for n=2 can be encoded in terms of an elliptic curve.

scholarly journals DYONIC BLACK HOLES WITH STRING-LOOP CORRECTIONS

2003 ◽  
Vol 18 (11) ◽  
pp. 1903-1933
Author(s):  
MIKHAIL Z. IOFA
Keyword(s):  
Black Holes ◽  
Black Hole ◽  
Black Hole Solution ◽  
Low Energy ◽  
Tree Level ◽  
Coupling Constant ◽  
Heterotic String Theory ◽  
Four Dimensions ◽  
First Order ◽  
String Loop

In heterotic string theory compactified to four dimensions with N = 2 supersymmetry, string-loop corrections to the universal sector of the low-energy effective action are studied. Within the framework of N = 2 supersymmetric formulation of the theory, in the first order in string coupling constant, we solve the system of the loop-corrected Maxwell and Killing spinor equations. Taking as the input the tree-level dyonic black hole solution, we calculate string-loop corrections to the string tree-level metric and moduli of dyonic black hole.

COUPLING THE WESS-ZUMINO-WITTEN MODEL TO YANG-MILLS FIELDS

1991 ◽  
Vol 06 (11) ◽  
pp. 969-976 ◽  
Author(s):  
C.M. HULL ◽  
B. SPENCE
Keyword(s):  
Effective Action ◽  
Dimensional Space ◽  
Low Energy ◽  
Field Theories ◽  
Gauge Fields ◽  
Conformal Field Theories ◽  
Gauge Invariant ◽  
Four Dimensions ◽  
Yang Mills ◽  
Conformal Field

The coupling of the 2n-dimensional Wess-Zumino-Witten action to gauge fields is discussed and a simple manifestly gauge-invariant form of the gauged Wess-Zumino term is found which is an integral over a (2n+1)-dimensional space whose boundary is space-time. In two and four dimensions, our actions give simple forms for the action describing coset conformal field theories and the low-energy QCD effective action, respectively.

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