scholarly journals On BPS World Volume, RR Couplings, and Their α′ Corrections in Type IIB

2020 ◽  
Vol 2020 ◽  
pp. 1-11
Author(s):  
Ehsan Hatefi
Keyword(s):  
Gauge Field ◽  
Correlation Functions ◽  
Closed String ◽  
Effective Field ◽  
Matrix Elements ◽  
Higher Derivative ◽  
World Volume ◽  
S Matrix ◽  
Upper Half Plane ◽  
Algebraic Forms

We compute the asymmetric and symmetric correlation functions of a four-point amplitude of a gauge field, a scalar field, and a closed string Ramond-Ramond (RR) for different nonvanishing BPS branes. All world volume, the Taylor and pull-back couplings, and their all-order α′ corrections have also been explored. Due to various symmetry structures, different restricted BPS Bianchi identities have also been constructed. The prescription of exploring all the corrections of two closed string RR couplings in type IIB is given. We obtain the closed form of the entire S-matrix elements of two closed string RRs and a gauge field on the world volume of BPS branes in type IIB. All the correlation functions of VA0x1VC−1z1,z¯1VC−1z2,z¯2 are also revealed accordingly. The algebraic forms for the most general case of the integrations ∫d2zz−iaz+ibz−z¯cz+z¯d on the upper half plane are derived in terms of Pochhammer and some analytic functions. Lastly, we generate various singularity structures in both effective field theory and IIB string theory, producing different contact interactions as well as their α′ higher derivative corrections.

CONSISTENCY BETWEEN THE S-MATRIX AND THE SIGMA- MODEL APPROACHES TO THE CLOSED STRING EFFECTIVE ACTION ON THE DISC

1988 ◽  
Vol 03 (06) ◽  
pp. 561-569 ◽  
Author(s):  
L.V. ROZHANSKY ◽  
A.A. TSEYTLIN
Keyword(s):  
Field Theory ◽  
Effective Field Theory ◽  
Effective Action ◽  
Sigma Model ◽  
Closed String ◽  
Effective Field ◽  
Cosmological Term ◽  
S Matrix ◽  
String Amplitudes ◽  
Closed Bosonic String

We show that a part of logarithmic divergences in the closed bosonic string amplitudes on the disc was over-looked in the previous studies. The sum of all logarithmic divergences is found to be in agreement with the “tadpole” divergences in the effective field theory with the “cosmological term” representing the disc correction. This resolves the problem raised recently by Fischler, Klebanov and Susskind.

scholarly journals Standard Model EFTs via on-shell methods

2021 ◽  
Vol 2021 (11) ◽  
Author(s):  
Manuel Accettulli Huber ◽  
Stefano De Angelis
Keyword(s):  
Standard Model ◽  
Building Blocks ◽  
Effective Field ◽  
Tree Level ◽  
Matrix Elements ◽  
Effective Interactions ◽  
S Matrix ◽  
The Standard Model ◽  
Mass Dimension ◽  
Mixing Matrix

Abstract We present the Standard Model Effective Field Theories (SMEFT) from purely on-shell arguments. Starting from few basics assumptions such as Poincaré invariance and locality, we classify all the renormalisable and non-renormalisable interactions at lowest order in the couplings. From these building blocks, we review how locality and unitarity enforce Lie algebra structures to appear in the S-matrix elements together with relations among couplings (and hypercharges). Furthermore, we give a fully on-shell algorithm to compute any higher-point tree-level amplitude (or form factor) in generic EFTs, bypassing BCFW-like recursion relations which are known to be problematic when non-renormalisable interactions are involved. Finally, using known amplitudes techniques we compute the mixing matrix of SMEFT marginal interactions up to mass dimension 8, to linear order in the effective interactions.

scholarly journals EFT asymptotics: the growth of operator degeneracy

2021 ◽  
Vol 10 (5) ◽  
Author(s):  
Tom Melia ◽  
Sridip Pal
Keyword(s):  
Effective Field Theory ◽  
Numerical Experiments ◽  
Hilbert Series ◽  
Effective Field ◽  
Partition Functions ◽  
Matrix Elements ◽  
S Matrix ◽  
The Standard Model ◽  
Remarkable Agreement ◽  
Scaling Dimension

We establish formulae for the asymptotic growth (with respect to the scaling dimension) of the number of operators in effective field theory, or equivalently the number of S-matrix elements, in arbitrary spacetime dimensions and with generic field content. This we achieve by generalising a theorem due to Meinardus and applying it to Hilbert series---partition functions for the degeneracy of (subsets of) operators. Although our formulae are asymptotic, numerical experiments reveal remarkable agreement with exact results at very low orders in the EFT expansion, including for complicated phenomenological theories such as the standard model EFT. Our methods also reveal phase transition-like behaviour in Hilbert series. We discuss prospects for tightening the bounds and providing rigorous errors to the growth of operator degeneracy, and of extending the analytic study and utility of Hilbert series to EFT.

scholarly journals ON FACTORIZING CORRELATION FUNCTIONS IN STRING THEORY USING LOOP VARIABLES

1995 ◽  
Vol 10 (31) ◽  
pp. 2381-2389
Author(s):  
B. SATHIAPALAN
Keyword(s):  
String Theory ◽  
Correlation Functions ◽  
Matrix Elements ◽  
S Matrix ◽  
String Amplitudes

Factorization of string amplitudes is one way of constructing string interaction vertices. We show that correlation functions in string theory can be conveniently factorized using loop variables representing delta functionals. We illustrate this construction with some examples where one particle is off-shell. These vertices are “correct” in the sense that they are guaranteed, by construction, to reproduce S-matrix elements when combined with propagators in a well-defined way.

GRAVITON AMPLITUDES, EFFECTIVE ACTION AND STRING GENERATING FUNCTIONAL ON THE DISC

1989 ◽  
Vol 04 (13) ◽  
pp. 3269-3304 ◽  
Author(s):  
A.A. TSEYTLIN
Keyword(s):  
Field Theory ◽  
String Theory ◽  
General Expression ◽  
Effective Field Theory ◽  
Effective Action ◽  
Closed String ◽  
Effective Field ◽  
Generating Functional ◽  
S Matrix ◽  
String Amplitudes

We discuss some issues related to computation and renormalization of closed string amplitudes and effective action on the disc. The general expression for the O (ln ε) term in the string theory and effective field theory generating functionals for the S matrix is found. It is emphasized that in order to establish the correspondence between the string theory and the effective field theory it is necessary to compare the total coefficients of all (“local” plus “modular” and “N-dependent” plus “N-independent”) infinities present in the amplitudes. The regularized expression for the N=3 graviton amplitude on the disc is explicitly computed and it is suggested that a proper regularization is a key to a resolution of a paradox discussed previously in the literature.

scholarly journals Closed String S-matrix Elements in Open String Field Theory

2005 ◽  
Vol 2005 (03) ◽  
pp. 048-048 ◽  
Author(s):  
Mohammad R Garousi ◽  
G.R Maktabdaran
Keyword(s):  
Field Theory ◽  
String Field Theory ◽  
Open String ◽  
Closed String ◽  
Matrix Elements ◽  
S Matrix

scholarly journals All-order quartic couplings in highly symmetric D-brane-anti-D-brane systems

2021 ◽  
Vol 2021 (5) ◽  
Author(s):  
Ehsan Hatefi ◽  
Per Sundell
Keyword(s):  
Closed String ◽  
Effective Field ◽  
Gauge Fields ◽  
S Matrix ◽  
Holographic Duals ◽  
Higher Spin ◽  
Dual Channels ◽  
Infinite Collection ◽  
Superstring Theories ◽  
String Amplitudes

Abstract We compute six-point string amplitudes for the scattering of one closed string Ramond-Ramond state, two tachyons and two gauge fields in the worldvolume of D-brane-anti-D-brane systems in the Type II superstring theories. From the resulting S-matrix elements, we read off the precise form of the couplings, including their exact numerical coefficients, of two tachyons and two gauge fields in the corresponding highly symmetric effective field eheory (EFT) Lagrangian in the worldvolume of D-brane-Anti-D-brane to all orders in α′, which modify and complete previous proposals. We verify that the EFT reproduces the infinite collection of stringy gauge field singularities in dual channels. Inspired by interesting similarities between the all-order highly symmetric EFTs and holographic duals of Vasiliev’s higher spin gravities à là Nilsson and Vasiliev, we make a proposal for tensionless limits of D-brane-anti-D-brane systems.

scholarly journals 6d (2, 0) and M-theory at 1-loop

2021 ◽  
Vol 2021 (1) ◽  
Author(s):  
Luis F. Alday ◽  
Shai M. Chester ◽  
Himanshu Raj
Keyword(s):  
Flat Space ◽  
Lagrangian Description ◽  
Loop Correction ◽  
Higher Derivative ◽  
Weakly Coupled ◽  
S Matrix ◽  
Space Limit ◽  
Tensor Multiplet ◽  
First Time ◽  
M Theory

Abstract We study the stress tensor multiplet four-point function in the 6d maximally supersymmetric (2, 0) AN−1 and DN theories, which have no Lagrangian description, but in the large N limit are holographically dual to weakly coupled M-theory on AdS7× S4 and AdS7× S4/ℤ2, respectively. We use the analytic bootstrap to compute the 1-loop correction to this holographic correlator coming from Witten diagrams with supergravity R and the first higher derivative correction R4 vertices, which is the first 1-loop correction computed for a non-Lagrangian theory. We then take the flat space limit and find precise agreement with the corresponding terms in the 11d M-theory S-matrix, some of which we compute for the first time using two-particle unitarity cuts.

scholarly journals Extremal correlators and random matrix theory

2021 ◽  
Vol 2021 (4) ◽  
Author(s):  
Alba Grassi ◽  
Zohar Komargodski ◽  
Luigi Tizzano
Keyword(s):  
Field Theory ◽  
Gauge Theory ◽  
Matrix Model ◽  
Effective Field Theory ◽  
Random Matrix ◽  
Correlation Functions ◽  
Matrix Theory ◽  
Effective Field ◽  
Random Matrix Model ◽  
Large Charge

Abstract We study the correlation functions of Coulomb branch operators of four-dimensional $$ \mathcal{N} $$ N = 2 Superconformal Field Theories (SCFTs). We focus on rank-one theories, such as the SU(2) gauge theory with four fundamental hypermultiplets. “Extremal” correlation functions, involving exactly one anti-chiral operator, are perhaps the simplest nontrivial correlation functions in four-dimensional Quantum Field Theory. We show that the large charge limit of extremal correlators is captured by a “dual” description which is a chiral random matrix model of the Wishart-Laguerre type. This gives an analytic handle on the physics in some particular excited states. In the limit of large random matrices we find the physics of a non-relativistic axion-dilaton effective theory. The random matrix model also admits a ’t Hooft expansion in which the matrix is taken to be large and simultaneously the coupling is taken to zero. This explains why the extremal correlators of SU(2) gauge theory obey a nontrivial double scaling limit in states of large charge. We give an exact solution for the first two orders in the ’t Hooft expansion of the random matrix model and compare with expectations from effective field theory, previous weak coupling results, and we analyze the non-perturbative terms in the strong ’t Hooft coupling limit. Finally, we apply the random matrix theory techniques to study extremal correlators in rank-1 Argyres-Douglas theories. We compare our results with effective field theory and with some available numerical bootstrap bounds.

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