scholarly journals Evidence for weak-coupling holography from the gauge/gravity correspondence for Dp-branes

2020 ◽  
Vol 2020 (2) ◽  
Author(s):  
Yasuhiro Sekino
Keyword(s):  
Gauge Theory ◽  
Free Field ◽  
Scalar Fields ◽  
Superstring Theory ◽  
Spatial Direction ◽  
Strongly Coupled ◽  
Yang Mills ◽  
Hooft Coupling ◽  
Brane Solution ◽  
Gauge Gravity

Abstract Gauge/gravity correspondence is regarded as a powerful tool for the study of strongly coupled quantum systems, but its proof is not available. An unresolved issue that should be closely related to the proof is what kind of correspondence exists, if any, when gauge theory is weakly coupled. We report progress about this limit for the case associated with D$p$-branes ($0\le p\le 4$), namely, the duality between the $(p+1)$D maximally supersymmetric Yang–Mills theory and superstring theory on the near-horizon limit of the D$p$-brane solution. It has been suggested by supergravity analysis that the two-point functions of certain operators in gauge theory obey a power law with the power different from the free-field value for $p\neq 3$. In this work, we show for the first time that the free-field result can be reproduced by superstring theory on the strongly curved background. The operator that we consider is of the form ${\rm Tr}(Z^J)$, where $Z$ is a complex combination of two scalar fields. We assume that the corresponding string has the worldsheet spatial direction discretized into $J$ bits, and use the fact that these bits become non-interacting when ’t Hooft coupling is zero.

scholarly journals Far beyond the planar limit in strongly-coupled $$ \mathcal{N} $$ = 4 SYM

2021 ◽  
Vol 2021 (1) ◽  
Author(s):  
Shai M. Chester ◽  
Silviu S. Pufu
Keyword(s):  
Free Energy ◽  
Mass Parameter ◽  
Gauge Coupling ◽  
Superstring Theory ◽  
Exact Relation ◽  
Strongly Coupled ◽  
Yang Mills ◽  
Hooft Coupling ◽  
Planar Limit ◽  
Tensor Multiplet

Abstract When the SU(N) $$ \mathcal{N} $$ N = 4 super-Yang-Mills (SYM) theory with complexified gauge coupling τ is placed on a round four-sphere and deformed by an $$ \mathcal{N} $$ N = 2-preserving mass parameter m, its free energy F (m, τ,$$ \overline{\tau} $$ τ ¯ ) can be computed exactly using supersymmetric localization. In this work, we derive a new exact relation between the fourth derivative $$ {\partial}_m^4F\left(m,\tau, \overline{\tau}\right)\left|{{}_m}_{=0}\right. $$ ∂ m 4 F m τ τ ¯ m = 0 of the sphere free energy and the integrated stress-tensor multiplet four-point function in the $$ \mathcal{N} $$ N = 4 SYM theory. We then apply this exact relation, along with various other constraints derived in previous work (coming from analytic bootstrap, the mixed derivative $$ {\partial}_{\tau }{\partial}_{\overline{\tau}}{\partial}_m^2F\left(m,\tau, \overline{\tau}\right)\left|{{}_m}_{=0}\right. $$ ∂ τ ∂ τ ¯ ∂ m 2 F m τ τ ¯ m = 0 , and type IIB superstring theory scattering amplitudes) to determine various perturbative terms in the large N and large ’t Hooft coupling λ expansion of the $$ \mathcal{N} $$ N = 4 SYM correlator at separated points. In particular, we determine the leading large-λ term in the $$ \mathcal{N} $$ N = 4 SYM correlation function at order 1/N8. This is three orders beyond the planar limit.

scholarly journals Second order equilibrium transport in strongly coupled $$ \mathcal{N} $$ = 4 supersymmetric SU(Nc) Yang-Mills plasma via holography

2021 ◽  
Vol 2021 (8) ◽  
Author(s):  
Sebastian Grieninger ◽  
Ashish Shukla
Keyword(s):  
Thermal Equilibrium ◽  
Momentum Tensor ◽  
Second Order ◽  
Strongly Coupled ◽  
Yang Mills ◽  
Hooft Coupling ◽  
Relativistic Fluid ◽  
Analytic Expressions ◽  
Background Curvature ◽  
Gauge Gravity

Abstract A relativistic fluid in 3+1 dimensions with a global U(1) symmetry admits nine independent static susceptibilities at the second order in the hydrodynamic derivative expansion, which capture the response of the fluid in thermal equilibrium to the presence of external time-independent sources. Of these, seven are time-reversal $$ \mathbbm{T} $$ T invariant and can be obtained from Kubo formulas involving equilibrium two-point functions of the energy-momentum tensor and the U(1) current. Making use of the gauge/gravity duality along with the aforementioned Kubo formulas, we compute all seven $$ \mathbbm{T} $$ T invariant second order susceptibilities for the $$ \mathcal{N} $$ N = 4 supersymmetric SU(Nc) Yang-Mills plasma in the limit of large Nc and at strong ’t-Hooft coupling λ. In particular, we consider the plasma to be charged under a U(1) subgroup of the global SU(4) R-symmetry of the theory. We present analytic expressions for three of the seven $$ \mathbbm{T} $$ T invariant susceptibilities, while the remaining four are computed numerically. The dual gravitational description for the charged plasma in thermal equilibrium in the absence of background electric and magnetic fields is provided by the asymptotically AdS5 Reissner-Nordström black brane geometry. The susceptibilities are extracted by studying perturbations to the bulk geometry as well as to the bulk gauge field. We also present an estimate of the second order transport coefficient κ, which determines the response of the fluid to the presence of background curvature, for QCD, and compare it with previous determinations made using different techniques.

A DIRECT TEST OF THE GAUGE/GRAVITY DUALITY AND THE STRING THEORETICAL DESCRIPTION OF A BLACK HOLE

2008 ◽  
Vol 23 (14n15) ◽  
pp. 2161-2164 ◽  
Author(s):  
JUN NISHIMURA
Keyword(s):  
Black Hole ◽  
Theoretical Description ◽  
Direct Test ◽  
Strongly Coupled ◽  
Open Strings ◽  
Large N ◽  
Brane Solution ◽  
Gauge Gravity ◽  
Gravity Duality ◽  
Microscopic Origin

We perform a direct test of the gauge/gravity duality by studying one-dimensional U (N) gauge theory with 16 supercharges at finite temperature using Monte Carlo simulation. In the 't Hooft large-N limit and in the strong coupling limit, the model is expected to have a dual gravity description in terms of the near-extremal black 0-brane solution in ten-dimensional type IIA supergravity. Our results provide the first example, in which the microscopic origin of the black hole thermodynamics is accounted for by solving explicitly the strongly coupled dynamics of the open strings attached to the D-branes.

scholarly journals HOLOGRAPHIC FLAVOR IN THEORIES WITH EIGHT SUPERCHARGES

2007 ◽  
Vol 22 (26) ◽  
pp. 4717-4796 ◽  
Author(s):  
DIEGO RODRÍGUEZ-GÓMEZ
Keyword(s):  
Gauge Theory ◽  
Phase Structure ◽  
Gauge Theories ◽  
Meson Spectrum ◽  
Yang Mills ◽  
Holographic Duals ◽  
Gauge Gravity ◽  
Gravity Duality ◽  
Gravity Duals

We review the holographic duals of gauge theories with eight supercharges obtained by adding very few flavors to pure supersymmetric Yang–Mills with 16 supercharges. Assuming a brane-probe limit, the gravity duals are engineered in terms of probe branes (the so-called flavor brane) in the background of the color branes. Both types of branes intersect on a given subspace in which the matter is confined. The gauge theory dual is thus the corresponding flavoring of the gauge theory with 16 supercharges. Those theories have in general a nontrivial phase structure; which is also captured in a beautiful way by the gravity dual. Along the lines of the gauge/gravity duality, we review also some of the results on the meson spectrum in the different phases of the theories.

scholarly journals GAUGE/GRAVITY DUALITY AND SOME APPLICATIONS

2010 ◽  
Vol 25 (34) ◽  
pp. 2859-2872 ◽  
Author(s):  
SPENTA R. WADIA
Keyword(s):  
Black Hole ◽  
Gauge Theory ◽  
Black Hole Physics ◽  
Higher Dimension ◽  
Strongly Coupled ◽  
Open Strings ◽  
Historical Continuity ◽  
Semiclassical Gravity ◽  
Gauge Gravity ◽  
Gravity Duality

We discuss the AdS/CFT correspondence in which spacetime emerges from an interacting theory of D-branes and open strings. These ideas have a historical continuity with QCD which is an interacting theory of quarks and gluons. In particular, we review the classic case of D3 branes and the non-conformal D1 brane system. We outline by some illustrative examples the calculations that are enabled in a strongly coupled gauge theory by correspondence with dynamical horizons in semiclassical gravity in one higher dimension. We also discuss implications of the gauge fluid/gravity correspondence for the information paradox of black hole physics.

Gauge/gravity duality — From lattice gauge theory to black hole

2017 ◽  
Vol 32 (36) ◽  
pp. 1747018 ◽  
Author(s):  
Daisuke Kadoh
Keyword(s):  
Black Hole ◽  
Gauge Theory ◽  
Finite Temperature ◽  
Lattice Gauge Theory ◽  
Yang Mills ◽  
Lattice Gauge ◽  
Large N ◽  
Gauge Gravity ◽  
Gravity Duality

The duality conjecture states that [Formula: see text]-dimensional maximally supersymmetric Yang–Mills theory at finite temperature is expected to be dual to the non extremal black [Formula: see text]-brane at large N. We perform the lattice simulations of SYM for [Formula: see text] to investigate the validity of the conjecture. We show that the conjecture is qualitatively valid by comparing lattice results of the black [Formula: see text]-branes mass with analytic expectations in the gravity side.

scholarly journals Dyons, Superstrings, and Wormholes: Exact Solutions of the Non-Abelian Dirac-Born-Infeld Action

2015 ◽  
Vol 2015 ◽  
pp. 1-14
Author(s):  
Edward A. Olszewski
Keyword(s):  
Gravitational Interaction ◽  
Spatial Dimension ◽  
Adjoint Representation ◽  
Type I ◽  
Superstring Theory ◽  
Duality Transformation ◽  
Yang Mills ◽  
Dimensional Spacetime ◽  
Lorentz Scalar ◽  
Gauge Gravity

We construct dyon solutions on coincidentD4-branes, obtained by applyingT-duality transformations to type ISO(32)superstring theory in 10 dimensions. These solutions, which are exact, are obtained from an action comprising the non-Abelian Dirac-Born-Infeld action and a Wess-Zumino-like action. When one spatial dimension of theD4-branes is taken to be vanishingly small, the dyons are analogous to the ’t Hooft/Polyakov monopole residing in a3+1-dimensional spacetime, where the component of the Yang-Mills potential transforming as a Lorentz scalar is reinterpreted as a Higgs boson transforming in the adjoint representation of the gauge group. Applying aT-duality transformation to the vanishingly small spatial dimension, we obtain a collection ofD3-branes, not all of which are coincident. Two of theD3-branes, distinct from the others, acquire intrinsic, finite curvature and are connected by a wormhole. The dyons possess electric and magnetic charges whose values on eachD3-brane are the negative of one another. The gravitational effects, which arise after theT-duality transformation, occur despite the fact that the action of the system does not explicitly include the gravitational interaction. These solutions provide a simple example of the subtle relationship between the Yang-Mills and gravitational interactions, that is, gauge/gravity duality.

scholarly journals SOFT WALL MODEL WITH INVERSE EXPONENTIAL PROFILE AS A MODEL FOR THE AXIAL AND PSEUDOSCALAR MESONS

2012 ◽  
Vol 27 (29) ◽  
pp. 1250171 ◽  
Author(s):  
S. S. AFONIN
Keyword(s):  
Field Theory ◽  
Chiral Symmetry Breaking ◽  
Axial Vector ◽  
Free Field ◽  
Strongly Coupled ◽  
Original Proposal ◽  
Pseudoscalar Mesons ◽  
Soft Wall Model ◽  
Soft Wall ◽  
Gauge Gravity

According to the conjecture of the gauge/gravity duality, a strongly coupled 4D field theory may be described by a dual 5D theory which is a free field theory in the first approximation. The usual description of the axial-vector sector in the bottom–up AdS/QCD models includes, however, the quartic interaction with a bulk scalar field. A question arises, whether it is possible to describe some aspects of the chiral symmetry breaking (CSB) in a way more consistent with the original proposal, i.e. within a free 5D theory? We suggest that a natural candidate for this purpose is the soft wall (SW) model with inverse exponential profile.

scholarly journals Holographic Coulomb branch solitons, quasinormal modes, and black holes

2021 ◽  
Vol 2021 (5) ◽  
Author(s):  
S. Prem Kumar ◽  
Andy O’Bannon ◽  
Anton Pribytok ◽  
Ronnie Rodgers
Keyword(s):  
Black Holes ◽  
Gauge Theory ◽  
Gauge Symmetry ◽  
Quasinormal Modes ◽  
Coulomb Branch ◽  
Asymptotically Flat ◽  
Yang Mills ◽  
Hooft Coupling ◽  
Qualitative And Quantitative ◽  
Extremal Black Holes

Abstract Four-dimensional $$ \mathcal{N} $$ N = 4 supersymmetric Yang-Mills theory, at a point on the Coulomb branch where SU(N) gauge symmetry is spontaneously broken to SU(N − 1) × U(1), admits BPS solitons describing a spherical shell of electric and/or magnetic charges enclosing a region of unbroken gauge symmetry. These solitons have been proposed as gauge theory models for certain features of asymptotically flat extremal black holes. In the ’t Hooft large N limit with large ’t Hooft coupling, these solitons are holographically dual to certain probe D3-branes in the AdS5 × S5 solution of type IIB supergravity. By studying linearised perturbations of these D3-branes, we show that the solitons support quasinormal modes with a spectrum of frequencies sharing both qualitative and quantitative features with asymptotically flat extremal black holes.

scholarly journals BPS Wilson loop in $$ \mathcal{N} $$ = 2 superconformal SU(N) “orientifold” gauge theory and weak-strong coupling interpolation

2021 ◽  
Vol 2021 (7) ◽  
Author(s):  
M. Beccaria ◽  
G. V. Dunne ◽  
A. A. Tseytlin
Keyword(s):  
Gauge Theory ◽  
String Theory ◽  
Wilson Loop ◽  
Weak Coupling ◽  
Vector Multiplet ◽  
Superstring Theory ◽  
Expectation Value ◽  
Hooft Coupling ◽  
Rank 2 ◽  
Analytic Derivation

Abstract We consider the expectation value $$ \left\langle \mathcal{W}\right\rangle $$ W of the circular BPS Wilson loop in $$ \mathcal{N} $$ N = 2 superconformal SU(N) gauge theory containing a vector multiplet coupled to two hypermultiplets in rank-2 symmetric and antisymmetric representations. This theory admits a regular large N expansion, is planar-equivalent to $$ \mathcal{N} $$ N = 4 SYM theory and is expected to be dual to a certain orbifold/orientifold projection of AdS5× S5 superstring theory. On the string theory side $$ \left\langle \mathcal{W}\right\rangle $$ W is represented by the path integral expanded near the same AdS2 minimal surface as in the maximally supersymmetric case. Following the string theory argument in [5], we suggest that as in the $$ \mathcal{N} $$ N = 4 SYM case and in the $$ \mathcal{N} $$ N = 2 SU(N) × SU(N) superconformal quiver theory discussed in [19], the coefficient of the leading non-planar 1/N2 correction in $$ \left\langle \mathcal{W}\right\rangle $$ W should have the universal λ3/2 scaling at large ’t Hooft coupling. We confirm this prediction by starting with the localization matrix model representation for $$ \left\langle \mathcal{W}\right\rangle $$ W . We complement the analytic derivation of the λ3/2 scaling by a numerical high-precision resummation and extrapolation of the weak-coupling expansion using conformal mapping improved Padé analysis.

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