Some three-point correlation functions in the η-deformed AdS5 × S5

We compute some normalized structure constants in the [Formula: see text]-deformed [Formula: see text] in the framework of the semiclassical approach. This is done for the cases when the “heavy” string states are finite-size giant magnons carrying one angular momentum and for three different choices of the “light” state: primary scalar operators, dilaton operator with nonzero momentum, singlet scalar operators on higher string levels. Since the dual field theory is still unknown, the results obtained here must be considered as conjectures or as predictions from the string theory side.

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

Modern Physics Letters A ◽

10.1142/s0217732388002014 ◽

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.

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THE STOYANOVSKY–RIBAULT–TESCHNER MAP AND STRING SCATTERING AMPLITUDES

International Journal of Modern Physics A ◽

10.1142/s0217751x06031697 ◽

2006 ◽

Vol 21 (19n20) ◽

pp. 4003-4034 ◽

Cited By ~ 9

Author(s):

GASTON GIRIBET ◽

YU NAKAYAMA

Keyword(s):

Field Theory ◽

Scattering Amplitudes ◽

String Theory ◽

Correlation Functions ◽

Central Charge ◽

Closed String ◽

Liouville Theory ◽

Type Reduction ◽

Point Correlation ◽

Liouville Field Theory

Recently, Ribault and Teschner pointed out the existence of a one-to-one correspondence between N-point correlation functions for the SL (2,ℂ)k/ SU (2) WZNW model on the sphere and certain set of 2N-2-point correlation functions in Liouville field theory. This result is based on a seminal work by Stoyanovsky. Here, we discuss the implications of this correspondence focusing on its application to string theory on curved backgrounds. For instance, we analyze how the divergences corresponding to worldsheet instantons in AdS3 can be understood as arising from the insertion of the dual screening operator in the Liouville theory side. We also study the pole structure of N-point functions in the 2D Euclidean black hole and its holographic meaning in terms of the Little String Theory. This enables us to interpret the correspondence between CFT's as encoding a LSZ-type reduction procedure. Furthermore, we discuss the scattering amplitudes violating the winding number conservation in those backgrounds and provide a formula connecting such amplitudes with observables in Liouville field theory. Finally, we study the WZNW correlation functions in the limit k → 0 and show that, at the point k = 0, the Stoyanovsky–Ribault–Teschner dictionary turns out to be in agreement with the FZZ conjecture at a particular point of the space of parameters where the Liouville central charge becomes cL = -2. This result makes contact with recent studies on the dynamical tachyon condensation in closed string theory.

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THE FREE FIELD REPRESENTATION OF SU(3) CONFORMAL FIELD THEORY

International Journal of Modern Physics A ◽

10.1142/s0217751x9300165x ◽

1993 ◽

Vol 08 (23) ◽

pp. 4031-4053

Author(s):

HOVIK D. TOOMASSIAN

Keyword(s):

Field Theory ◽

Conformal Field Theory ◽

Correlation Functions ◽

Free Field ◽

Field Representation ◽

Conformal Field ◽

Point Correlation

The structure of the free field representation and some four-point correlation functions of the SU(3) conformal field theory are considered.

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Two point functions in defect CFTs

Journal of High Energy Physics ◽

10.1007/jhep04(2021)226 ◽

2021 ◽

Vol 2021 (4) ◽

Author(s):

Christopher P. Herzog ◽

Abhay Shrestha

Keyword(s):

Field Theory ◽

Conformal Field Theory ◽

Correlation Functions ◽

Equations Of Motion ◽

Physical Space ◽

Arbitrary Spin ◽

Momentum Tensor ◽

Maxwell Theory ◽

Conformal Field ◽

Point Correlation

Abstract This paper is designed to be a practical tool for constructing and investigating two-point correlation functions in defect conformal field theory, directly in physical space, between any two bulk primaries or between a bulk primary and a defect primary, with arbitrary spin. Although geometrically elegant and ultimately a more powerful approach, the embedding space formalism gets rather cumbersome when dealing with mixed symmetry tensors, especially in the projection to physical space. The results in this paper provide an alternative method for studying two-point correlation functions for a generic d-dimensional conformal field theory with a flat p-dimensional defect and d − p = q co-dimensions. We tabulate some examples of correlation functions involving a conserved current, an energy momentum tensor and a Maxwell field strength, while analysing the constraints arising from conservation and the equations of motion. A method for obtaining bulk-to-defect correlators is also explained. Some explicit examples are considered: free scalar theory on ℝp× (ℝq/ℤ2) and a free four dimensional Maxwell theory on a wedge.

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LANDAU LEVELS AND VERTEX OPERATIONS FOR ANYONS

Modern Physics Letters A ◽

10.1142/s0217732391003286 ◽

1991 ◽

Vol 06 (30) ◽

pp. 2819-2826 ◽

Cited By ~ 27

Author(s):

GERALD V. DUNNE ◽

ALBERTO LERDA ◽

CARLO A. TRUGENBERGER

Keyword(s):

Magnetic Field ◽

Angular Momentum ◽

External Magnetic Field ◽

String Theory ◽

Ground State ◽

Correlation Functions ◽

Landau Levels ◽

Vertex Operators ◽

Many Body

We construct exact many-body eigenstates of both energy and angular momentum for the N-anyon problem in an external magnetic field. We show that such states span the full ground state eigenspace and arise as correlation functions of Fubini-Veneziano vertex operators of string theory.

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Correlation functions of the chiral Potts chain from conformal field theory and finite-size corrections

Nuclear Physics B ◽

10.1016/0550-3213(91)90162-q ◽

1991 ◽

Vol 350 (3) ◽

pp. 745-788 ◽

Cited By ~ 17

Author(s):

Giuseppe Albertini ◽

Barry M. McCoy

Keyword(s):

Field Theory ◽

Conformal Field Theory ◽

Correlation Functions ◽

Finite Size ◽

Conformal Field ◽

Potts Chain ◽

Finite Size Corrections

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Logarithmic Operators in Conformal Field Theory and the ${\mathcal W}_\infty$-Algebra

International Journal of Modern Physics A ◽

10.1142/s0217751x97001912 ◽

1997 ◽

Vol 12 (21) ◽

pp. 3723-3738 ◽

Cited By ~ 18

Author(s):

A. Shafiekhani ◽

M. R. Rahimi Tabar

Keyword(s):

Field Theory ◽

Conformal Field Theory ◽

Correlation Functions ◽

Operator Product Expansion ◽

Field Theories ◽

Operator Product ◽

Tensor Operator ◽

Conformal Field Theories ◽

Conformal Field ◽

Point Correlation

It is shown explicitly that the correlation functions of conformal field theories (CFT) with the logarithmic operators are invariant under the differential realization of Borel subalgebra of [Formula: see text]-algebra. This algebra is constructed by tensor-operator algebra of differential representation of ordinary [Formula: see text]. This method allows us to write differential equations which can be used to find general expression for three- and four-point correlation functions possessing logarithmic operators. The operator product expansion (OPE) coefficients of general logarithmic CFT are given up to third level.

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CORRELATION FUNCTIONS FOR TOPOLOGICAL LANDAU-GINZBURG MODELS WITH c≤3

International Journal of Modern Physics A ◽

10.1142/s0217751x92002817 ◽

1992 ◽

Vol 07 (25) ◽

pp. 6215-6244 ◽

Cited By ~ 23

Author(s):

ALBRECHT KLEMM ◽

STEFAN THEISEN ◽

MICHAEL G. SCHMIDT

Keyword(s):

Field Theory ◽

Differential Equation ◽

Differential Equations ◽

Generating Function ◽

Correlation Functions ◽

Coupling Constant ◽

Superconformal Field Theory ◽

Point Correlation ◽

Marginal Deformation

We discuss c≤3 topological Landau-Ginzburg models. In particular we give the potential for the three exceptional models E6,7,8 in the constant metric coordinates of coupling constant space and derive the generating function F for correlation functions. For the c=3 torus cases with one marginal deformation and relevant perturbations, we derive and solve the differential equation resulting from flatness of coupling constant space. We perform the transformation to constant metric coordinates and calculate the generating function F. Comparing the three-point correlation functions with those of orbifold superconformal field theory, we find agreement. We finally demonstrate that the differential equations derived from flatness of coupling constant space are the same as the ones satisfied by the periods of the tori.

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