Two-Loop Spectroscopy of Short ABJM Operators (2009)
Papathanasiou, Georgios, Spradlin, Marcus
We study the spectrum of anomalous dimensions of short operators in planar ABJM theory at two loops. Specifically we develop a method for solving the OSp(6|4) Bethe ansatz equations for a certain...
From Twistor String Theory To Recursion Relations (2009)
Spradlin, Marcus, Volovich, Anastasia
Witten's twistor string theory gives rise to an enigmatic formula [arXiv:hep-th/0403190] known as the "connected prescription" for tree-level Yang-Mills scattering amplitudes. We derive a link...
The Tree Formula for MHV Graviton Amplitudes (2009)
Nguyen, Dung, Spradlin, Marcus, Volovich, Anastasia, Wen, Congkao
We present and prove a formula for the MHV scattering amplitude of n gravitons at tree level. Some of the more interesting features of the formula, which set it apart as being significantly different...
The Morphology of N=6 Chern-Simons Theory (2009)
Papathanasiou, Georgios, Spradlin, Marcus
We tabulate various properties of the language of N=6 Chern-Simons Theory, in the sense of Polyakov. Specifically we enumerate and compute character formulas for all syllables of up to four letters,...
On Dyonic Giant Magnons on CP^3 (2009)
Kalousios, Chrysostomos, Spradlin, Marcus, Volovich, Anastasia
A new example of AdS/CFT duality relating IIA string theory on AdS_4 x CP^3 to N=6 superconformal Chern-Simons theory has recently been provided by ABJM. By now a number of papers have considered...
Quite a Character: The Spectrum of Yang-Mills on S^3 (2008)
Newton, Taylor H, Spradlin, Marcus
We introduce a simple method to extract the representation content of the spectrum of a system with SU(2) symmetry from its partition function. The method is easily generalized to systems with...
Three Applications of a Bonus Relation for Gravity Amplitudes (2008)
Spradlin, Marcus, Volovich, Anastasia, Wen, Congkao
Arkani-Hamed et. al. have recently shown that all tree-level scattering amplitudes in maximal supergravity exhibit exceptionally soft behavior when two supermomenta are taken to infinity in a...
Quite a Character: The Spectrum of Yang-Mills on S^3 (2008)
Newton, Taylor H., Spradlin, Marcus
We introduce a simple method to extract the representation content of the spectrum of a system with SU(2) symmetry from its partition function. The method is easily generalized to systems with...
Three-Loop Leading Singularities and BDS Ansatz for Five Particles (2008)
Spradlin, Marcus, Volovich, Anastasia, Wen, Congkao
We use the leading singularity technique to determine the planar three-loop five-particle amplitude in N=4 super Yang-Mills in terms of a simple basis of integrals. We analytically compute the...
Leading Singularities of the Two-Loop Six-Particle MHV Amplitude (2008)
Cachazo, Freddy, Spradlin, Marcus, Volovich, Anastasia
We use the leading singularity technique to determine the planar six-particle two-loop MHV amplitude in N=4 super Yang-Mills in terms of a simple basis of integrals. Our result for the parity even...
Scattering of single spikes (2007)
Ishizeki, Riei, Kruczenski, Martin, Spradlin, Marcus, Volovich, Anastasia
We apply the dressing method to a string solution given by a static string wrapped around the equator of a three-sphere and find that the result is the single spike solution recently discussed in the...
New Dual Conformally Invariant Off-Shell Integrals (2007)
Nguyen, Dung, Spradlin, Marcus, Volovich, Anastasia
Evidence has recently emerged for a hidden symmetry of scattering amplitudes in N=4 super Yang-Mills theory called dual conformal symmetry. At weak coupling the presence of this symmetry has been...
Dressing the Giant Gluon (2007)
Jevicki, Antal, Kalousios, Chrysostomos, Spradlin, Marcus, Volovich, Anastasia
We demonstrate the applicability of the dressing method to the problem of constructing new classical solutions for Euclidean worldsheets in anti-de Sitter space. The motivation stems from recent work...
Four-Loop Collinear Anomalous Dimension in N = 4 Yang-Mills Theory (2007)
Cachazo, Freddy, Spradlin, Marcus, Volovich, Anastasia
We report a calculation in N = 4 Yang-Mills of the four-loop term g^4 in the collinear anomalous dimension g(lambda) which governs the universal subleading infrared structure of gluon scattering...
Semiclassical Quantization of the Giant Magnon (2007)
Papathanasiou, Georgios, Spradlin, Marcus
Solitons in field theory provide a window into regimes not directly accessible by the fundamental perturbative degrees of freedom. Motivated by interest in the worldsheet S-matrix of string theory in...
Four-Loop Cusp Anomalous Dimension From Obstructions (2006)
Cachazo, Freddy, Spradlin, Marcus, Volovich, Anastasia
We introduce a method for extracting the cusp anomalous dimension at L loops from four-gluon amplitudes in N=4 Yang-Mills without evaluating any integrals that depend on the kinematical invariants....
Dressing the Giant Magnon II (2006)
Kalousios, Chrysostomos, Spradlin, Marcus, Volovich, Anastasia
We extend our earlier work by demonstrating how to construct classical string solutions describing arbitrary superpositions of scattering and bound states of dyonic giant magnons on S^5 using the...
Dressing the Giant Magnon (2006)
Spradlin, Marcus, Volovich, Anastasia
We apply the dressing method to construct new classical string solutions describing various scattering and bound states of magnons. These solutions carry one, two or three SO(6) charges and...
Hidden beauty in multiloop amplitudes (2006)
Cachazo, Freddy, Spradlin, Marcus, Volovich, Anastasia
Planar L-loop maximally helicity violating amplitudes in N = 4 supersymmetric Yang-Mills theory are believed to possess the remarkable property of satisfying iteration relations in L. We propose a...
Iterative Structure Within The Five-Particle Two-Loop Amplitude (2006)
Cachazo, Freddy, Spradlin, Marcus, Volovich, Anastasia
We find an unexpected iterative structure within the two-loop five-gluon amplitude in N = 4 supersymmetric Yang-Mills theory. Specifically, we show that a subset of diagrams contributing to the full...
Hidden Beauty in Multiloop Amplitudes (2006)
Cachazo, Freddy, Spradlin, Marcus, Volovich, Anastasia
Planar L-loop maximally helicity violating amplitudes in N = 4 supersymmetric Yang-Mills theory are believed to possess the remarkable property of satisfying iteration relations in L. We propose a...
String Theory in Beta Deformed Spacetimes (2005)
Spradlin, Marcus, Takayanagi, Tadashi, Volovich, Anastasia
Fluxbrane-like backgrounds obtained from flat space by a sequence of T-dualities and shifts of polar coordinates (beta deformations) provide an interesting class of exactly solvable string theories....
All Split Helicity Tree-Level Gluon Amplitudes (2005)
Britto, Ruth, Feng, Bo, Roiban, Radu, Spradlin, Marcus, Volovich, Anastasia
Recently a new recursion relation for tree-level gluon amplitudes in gauge theory has been discovered. We solve this recursion to obtain explicit formulas for the closed set of amplitudes with...
Dissolving N=4 loop amplitudes into QCD tree amplitudes (2004)
Roiban, Radu, Spradlin, Marcus, Volovich, Anastasia
We use the infrared consistency of one-loop amplitudes in N=4 Yang-Mills theory to derive a compact analytic formula for a tree-level NNMHV gluon scattering amplitude in QCD, the first such formula...
Two-Loop Partition Function in the Planar Plane-Wave Matrix Model (2004)
Spradlin, Marcus, Van Raamsdonk, Mark, Volovich, Anastasia
We perform two independent calculations of the two-loop partition function for the large N 't Hooft limit of the plane-wave matrix model, conjectured to be dual to the decoupled little string theory...
A Pendant for Polya: The One-Loop Partition Function of N=4 SYM on R x S^3 (2004)
Spradlin, Marcus, Volovich, Anastasia
We study weakly coupled SU(N) N = 4 super Yang-Mills theory on R x S^3 at infinite N, which has interesting thermodynamics, including a Hagedorn transition, even at zero Yang-Mills coupling. We...
On the Tree-Level S-Matrix of Yang-Mills Theory (2004)
Roiban, Radu, Spradlin, Marcus, Volovich, Anastasia
In this note we further investigate the procedure for computing tree-level amplitudes in Yang-Mills theory from connected instantons in the B-model on P^{3|4}, emphasizing that the problem of...
A Googly Amplitude from the B-model in Twistor Space (2004)
Roiban, Radu, Spradlin, Marcus, Volovich, Anastasia
Recently it has been proposed that gluon scattering amplitudes in gauge theory can be computed from the D-instanton expansion of the topological B-model on P^{3|4}, although only maximally helicity...
Light-Cone String Field Theory in a Plane Wave Background (2003)
Spradlin, Marcus, Volovich, Anastasia
These lecture notes present an elementary introduction to light-cone string field theory, with an emphasis on its application to the study of string interactions in the plane wave limit of AdS/CFT....
On the S-matrix of Type 0 String Theory (2003)
DeWolfe, Oliver, Roiban, Radu, Spradlin, Marcus, Volovich, Anastasia, Walcher, Johannes
The recent discovery of non-perturbatively stable two-dimensional string backgrounds and their dual matrix models allows the study of complete scattering matrices in string theory. In this note we...
Explicit formulas for Neumann coefficients in the plane-wave geometry (2003)
He, Yang-Hui, Schwarz, John H., Spradlin, Marcus, Volovich, Anastasia
We obtain explicit formulas for the Neumann coefficients and associated quantities that appear in the three-string vertex for type IIB string theory in a plane-wave background, for any value of the...
Note on Plane Wave Quantum Mechanics (2003)
Spradlin, Marcus, Volovich, Anastasia
We study the quantum mechanics of BMN operators with two scalar impurities and arbitrarily many traces, at one loop and all genus. We prove an operator identity which partially elucidates the...
On light-cone SFT contact terms in a plane wave (2002)
Roiban, Radu, Spradlin, Marcus, Volovich, Anastasia
Testing the BMN correspondence at non-zero string coupling g_s requires a one-loop string field theory calculation. At order g_s^2, matrix elements of the light-cone string field theory Hamiltonian...
Explicit Formulas for Neumann Coefficients in the Plane-Wave Geometry (2002)
He, Yang-Hui, Schwarz, John H., Spradlin, Marcus, Volovich, Anastasia
We obtain explicit formulas for the Neumann coefficients and associated quantities that appear in the three-string vertex for type IIB string theory in a plane-wave background, for any value of the...
Tracing the String: BMN correspondence at Finite J^2/N (2002)
Pearson, John, Spradlin, Marcus, Vaman, Diana, Verlinde, Herman, Volovich, Anastasia
Employing the string bit formalism of hep-th/0209215, we identify the basis transformation that relates BMN operators in N=4 gauge theory to string states in the dual string field theory at finite...
New Effects in Gauge Theory from pp-wave Superstrings (2002)
Klebanov, Igor R., Spradlin, Marcus, Volovich, Anastasia
It has recently been observed that IIB string theory in the pp-wave background can be used to calculate certain quantities, such as the dimensions of BMN operators, as exact functions of the...
Superstring Interactions in a pp-wave Background II (2002)
Spradlin, Marcus, Volovich, Anastasia
In type IIB light-cone superstring field theory, the cubic interaction has two pieces: a delta-functional overlap and an operator inserted at the interaction point. In this paper we extend our...
Superstring Interactions in a pp-wave Background (2002)
Spradlin, Marcus, Volovich, Anastasia
We construct light-cone gauge superstring field theory in a pp-wave background with Ramond-Ramond flux. The leading term in the interaction Hamiltonian is determined up to an overall function of...
Vacuum States and the S-Matrix in dS/CFT (2001)
Spradlin, Marcus, Volovich, Anastasia
We propose a definition of dS/CFT correlation functions by equating them to S-matrix elements for scattering particles from I^- to I^+. In planar coordinates, which cover half of de Sitter space, we...
Les Houches Lectures on De Sitter Space (2001)
Spradlin, Marcus, Strominger, Andrew, Volovich, Anastasia
These lectures present an elementary discussion of some background material relevant to the problem of de Sitter quantum gravity. The first two lectures discuss the classical geometry of de Sitter...
Noncommutative solitons on Kahler manifolds (2001)
Spradlin, Marcus, Volovich, Anastasia
We construct a new class of scalar noncommutative multi-solitons on an arbitrary Kahler manifold by using Berezin's geometric approach to quantization and its generalization to deformation...
On Noncommutative Multi-solitons (2001)
Gopakumar, Rajesh, Headrick, Matthew, Spradlin, Marcus
We find the moduli space of multi-solitons in noncommutative scalar field theories at large theta, in arbitrary dimension. The existence of a non-trivial moduli space at leading order in 1/theta is a...
Superconformal Multi-Black Hole Moduli Spaces in Four Dimensions (1999)
Maloney, Alexander, Spradlin, Marcus, Strominger, Andrew
Quantum mechanics on the moduli space of N supersymmetric Reissner-Nordstrom black holes is shown to admit 4 supersymmetries using an unconventional supermultiplet which contains 3N bosons and 4N...
Supergravity spectrum on AdS_2 x S^2 (1999)
Michelson, Jeremy, Spradlin, Marcus
The Kaluza-Klein spectrum of N=2, D=4 supergravity compactified on AdS_2 x S^2 is found and shown to consist of two infinite towers of SU(1,1|2) representations. In addition to `pure gauge' modes...
Vacuum States for AdS_2 Black Holes (1999)
Spradlin, Marcus, Strominger, Andrew
An AdS_2 black hole spacetime is an AdS_2 spacetime together with a preferred choice of time. The Boulware, Hartle-Hawking and SL(2,R) invariant vacua are constructed, together with their Green...