scholarly journals Nonrelativistic open string and Yang-Mills theory

2021 ◽  
Vol 2021 (3) ◽  
Author(s):  
Jaume Gomis ◽  
Ziqi Yan ◽  
Matthew Yu
Keyword(s):  
Equations Of Motion ◽  
Open String ◽  
Closed String ◽  
Winding Number ◽  
Yang Mills ◽  
Energy Dynamics ◽  
Open Strings ◽  
Nonlinear Equations Of Motion ◽  
String Background ◽  
Galilean Invariant

Abstract The classical and quantum worldsheet theory describing nonrelativistic open string theory in an arbitrary nonrelativistic open and closed string background is constructed. We show that the low energy dynamics of open strings ending on n coincident D-branes in flat spacetime is described by a Galilean invariant U(n) Yang-Mills theory. We also study nonrelativistic open string excitations with winding number and demonstrate that their dynamics can be encoded into a local gauge theory in one higher dimension. By demanding conformal invariance of the boundary couplings, the nonlinear equations of motion that govern the consistent open string backgrounds coupled to an arbitrary closed background (described by a string Newton-Cartan geometry, Kalb-Ramond, and dilaton field) are derived and shown to emerge from a Galilean invariant Dirac-Born-Infeld type action.

scholarly journals ACTION FOR (FREE) OPEN STRING MODES IN AdS SPACE USING THE LOOP VARIABLE APPROACH

2007 ◽  
Vol 22 (02) ◽  
pp. 107-117 ◽  
Author(s):  
B. SATHIAPALAN
Keyword(s):  
Equations Of Motion ◽  
Flat Space ◽  
Open String ◽  
Closed String ◽  
Group Method ◽  
Open Strings ◽  
Variable Approach ◽  
Massive Spin ◽  
Complete Treatment ◽  
Space Case

The loop variable technique (for open strings in flat space) is a gauge-invariant generalization of the renormalization group method for obtaining equations of motion. Unlike the beta functions, which are only proportional to the equations of motion, here it gives the full equation of motion. In an earlier paper, a technique was described for adapting this method to open strings in gravitational backgrounds. However, unlike the flat space case, these equations cannot be derived from an action and are therefore not complete. This is because there are ambiguities in the method that involve curvature couplings that cannot be fixed by appealing to gauge invariance alone but need a more complete treatment of the closed string background. An indirect method to resolve these ambiguities is to require symmetricity of the second derivatives of the action. In general this will involve modifying the equations by terms with arbitrarily high powers of curvature tensors. This is illustrated for the massive spin-two field. It is shown that in the special case of an AdS or dS background, the exact action can easily be determined in this way.

scholarly journals T-duality in nonrelativistic open string theory

2021 ◽  
Vol 2021 (2) ◽  
Author(s):  
Jaume Gomis ◽  
Ziqi Yan ◽  
Matthew Yu
Keyword(s):  
String Theory ◽  
Open String ◽  
Closed String ◽  
Quantization Scheme ◽  
Yang Mills ◽  
Duality Transformations ◽  
Low Energies ◽  
String Spectrum ◽  
String Background ◽  
Noncommutative Open String Theory

Abstract Nonrelativistic open string theory is defined by a worldsheet theory that produces a Galilean invariant string spectrum and is described at low energies by a nonrelativistic Yang-Mills theory [1]. We study T-duality transformations in the path integral for the sigma model that describes nonrelativistic open string theory coupled to an arbitrary closed string background, described by a string Newton-Cartan geometry, Kalb-Ramond, and dilaton field. We prove that T-duality transformations map nonrelativistic open string theory to relativistic and noncommutative open string theory in the discrete light cone quantization (DLCQ), a quantization scheme relevant for Matrix string theory. We also show how the worldvolume dynamics of nonrelativistic open string theory described by the Dirac-Born-Infeld type action found in [1] maps to the Dirac-Born-Infeld actions describing the worldvolume theories of the DLCQ of open string theory and noncommutative open string theory.

scholarly journals PROJECTION OPERATORS AND D-BRANES IN PURELY CUBIC OPEN STRING FIELD THEORY

2001 ◽  
Vol 16 (28) ◽  
pp. 1811-1821 ◽  
Author(s):  
YUTAKA MATSUO
Keyword(s):  
Field Theory ◽  
String Field Theory ◽  
Open String ◽  
Closed String ◽  
Kinetic Term ◽  
Classical Solutions ◽  
Projection Operators ◽  
Open Strings ◽  
String Background ◽  
The Given

We study a matrix version of the purely cubic open string field theory as describing the expansion around the closed string vacuum. Any D-branes in the given closed string background can appear as classical solutions by using the identity projectors. Expansion around this solution gives the correct kinetic term for the open strings on the created D-branes while there are some subtleties in the unwanted degree of freedom.

scholarly journals KLT factorization of winding string amplitudes

2021 ◽  
Vol 2021 (6) ◽  
Author(s):  
Jaume Gomis ◽  
Ziqi Yan ◽  
Matthew Yu
Keyword(s):  
Scattering Amplitudes ◽  
Open String ◽  
Closed String ◽  
Open Strings ◽  
Toroidal Compactifications ◽  
Quantum Numbers ◽  
String Amplitudes

Abstract We uncover a Kawai-Lewellen-Tye (KLT)-type factorization of closed string amplitudes into open string amplitudes for closed string states carrying winding and momentum in toroidal compactifications. The winding and momentum closed string quantum numbers map respectively to the integer and fractional winding quantum numbers of open strings ending on a D-brane array localized in the compactified directions. The closed string amplitudes factorize into products of open string scattering amplitudes with the open strings ending on a D-brane configuration determined by closed string data.

JACOBI ELLIPTIC MONOPOLE–ANTIMONOPOLE PAIR SOLUTIONS

2012 ◽  
Vol 27 (26) ◽  
pp. 1250148 ◽  
Author(s):  
ROSY TEH ◽  
PEI-YEN TAN ◽  
KHAI-MING WONG
Keyword(s):  
Total Energy ◽  
Equations Of Motion ◽  
Higgs Field ◽  
Elliptic Functions ◽  
Finite Energy ◽  
Generalized Solutions ◽  
Winding Number ◽  
Yang Mills ◽  
Total Energies ◽  
Map Solution

We present new classical generalized Jacobi elliptic one monopole–antimonopole pair (MAP) solutions of the SU(2) Yang–Mills–Higgs theory with the Higgs field in the adjoint representation. These generalized 1-MAP solutions are solved with θ-winding number m = 1 and ϕ-winding number n = 1, 2, 3,…,6. Similar to the generalized Jacobi elliptic one monopole solutions, these generalized 1-MAP solutions are solved by generalizing the large distance behavior of the solutions to the Jacobi elliptic functions and solving the second order equations of motion numerically when the Higgs potential is vanishing (λ = 0) and nonvanishing (λ = 1). These generalized 1-MAP solutions possess total energies that are comparable to the total energy of the 1-MAP solution with winding number m = 1. However these total energies are significantly lower than the total energy of the 1-MAP solution with winding number m = 2. All these new generalized solutions are regular numerical finite energy non-BPS solutions of the Yang–Mills–Higgs field theory.

scholarly journals Classical algebraic structures in string theory effective actions

2020 ◽  
Vol 2020 (11) ◽  
Author(s):  
Harold Erbin ◽  
Carlo Maccaferri ◽  
Martin Schnabl ◽  
Jakub Vošmera
Keyword(s):  
String Theory ◽  
Degrees Of Freedom ◽  
Microscopic Theory ◽  
Open String ◽  
Closed String ◽  
Effective Theory ◽  
Generic Properties ◽  
Vertical Decomposition ◽  
String Background ◽  
New Framework

Abstract We study generic properties of string theory effective actions obtained by classically integrating out massive excitations from string field theories based on cyclic homotopy algebras of A∞ or L∞ type. We construct observables in the UV theory and we discuss their fate after integration-out. Furthermore, we discuss how to compose two subsequent integrations of degrees of freedom (horizontal composition) and how to integrate out degrees of freedom after deforming the UV theory with a new consistent interaction (vertical decomposition). We then apply our general results to the open bosonic string using Witten’s open string field theory. There we show how the horizontal composition can be used to systematically integrate out the Nakanishi-Lautrup field from the set of massless excitations, ending with a non-abelian A∞-gauge theory for just the open string gluon. Moreover we show how the vertical decomposition can be used to construct effective open-closed couplings by deforming Witten OSFT with a tadpole given by the Ellwood invariant. Also, we discuss how the effective theory controls the possibility of removing the tadpole in the microscopic theory, giving a new framework for studying D-brane deformations induced by changes in the closed string background.

scholarly journals GENERALIZED JACOBI ELLIPTIC ONE-MONOPOLE: TYPE A

2010 ◽  
Vol 25 (31) ◽  
pp. 5731-5746 ◽  
Author(s):  
ROSY TEH ◽  
KHAI-MING WONG ◽  
KOK-GENG LIM
Keyword(s):  
Equations Of Motion ◽  
Higgs Field ◽  
Elliptic Functions ◽  
Finite Energy ◽  
Generalized Solution ◽  
Adjoint Representation ◽  
Winding Number ◽  
Axially Symmetric ◽  
Yang Mills ◽  
Monopole Solution

We present a new classical generalized one-monopole solution of the SU(2) Yang–Mills–Higgs theory with the Higgs field in the adjoint representation. We show that this generalized solution with θ-winding number m = 1 and ϕ-winding number n = 1 is an axially symmetric Jacobi elliptic generalization of the 't Hooft–Polyakov one-monopole. We construct this axially symmetric one-monopole solution by generalizing the large distance asymptotic solution of the 't Hooft–Polyakov one-monopole to the Jacobi elliptic functions and solving the second-order equations of motion numerically when the Higgs potential is vanishing and nonvanishing. These solutions are regular non-BPS finite energy solutions.

scholarly journals 1+1 DIMENSIONAL NCOS AND ITS U(N) GAUGE THEORY DUAL

2001 ◽  
Vol 16 (05) ◽  
pp. 922-935 ◽  
Author(s):  
IGOR R. KLEBANOV ◽  
JUAN MALDACENA
Keyword(s):  
Gauge Theory ◽  
Electric Field ◽  
Electric Fields ◽  
Degrees Of Freedom ◽  
Finite Energy ◽  
Open String ◽  
Closed String ◽  
Dual Theory ◽  
Open Strings ◽  
Electric Flux

We study some aspects of open string theories on D-branes with critical electric fields. We show that the massless open string modes that move in the direction of the electric field decouple. In the 1+1 dimensional case the dual theory is U(N) SYM with electric flux, and the decoupling of massless open strings is dual to the decoupling of the U(1) degrees of freedom. We also show that, if the direction along the electric field is compact, then there are finite energy winding closed string modes. They are dual to Higgs branch excitations of the SYM theory, and their energetics works accordingly. These properties provide new non-trivial evidence for the duality.

scholarly journals ASPECTS OF INTEGRABILITY IN $\mathcal{N} = 4$ SYM

2007 ◽  
Vol 22 (34) ◽  
pp. 2549-2563 ◽  
Author(s):  
ABHISHEK AGARWAL
Keyword(s):  
Gauge Theory ◽  
Integrable Systems ◽  
Closed String ◽  
Quantum Spin ◽  
Spin Chains ◽  
Quantum Spin Chains ◽  
Four Dimensions ◽  
Yang Mills ◽  
Open Strings

Various recently developed connections between supersymmetric Yang–Mills theories in four dimensions and two-dimensional integrable systems serve as crucial ingredients in improving our understanding of the AdS/CFT correspondence. In this review, we highlight some connections between superconformal four-dimensional Yang–Mills theory and various integrable systems. In particular, we focus on the role of Yangian symmetries in studying the gauge theory dual of closed string excitations. We also briefly review how the gauge theory connects to Calogero models and open quantum spin chains through the study of the gauge theory duals of D3 branes and open strings ending on them. This invited review is based on a seminar given at the Institute of Advanced Study, Princeton.

OPEN STRINGS AS Z2-ORBIFOLDS OF CLOSED STRINGS

1991 ◽  
Vol 06 (27) ◽  
pp. 2483-2496
Author(s):  
GREG NAGAO
Keyword(s):  
Open String ◽  
Closed String ◽  
Bosonic String ◽  
Modular Invariant ◽  
Open Strings ◽  
Loop Expansion ◽  
Invariant Formulation ◽  
Closed Bosonic String ◽  
String Theories

We present a modular invariant formulation of the open string in terms of the closed string. Chan–Paton factors are understood as multiplicities which arise from a factorization of the closed string. This interpretation of the Chan–Paton factors suggests that the SO (2D/2) open string is consistent to all orders of the loop expansion. We show that the open string may be viewed as a Z2-orbifold of the closed string. Relations are found between various string theories which seem to reinforce an earlier suggestion by Freund that all string theories are derivable from the D = 26 orientable closed bosonic string.

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