M (atrix) theory: Matrix quantum mechanics as a fundamental theory

W Taylor - Reviews of Modern Physics, 2001‏ - APS
This article reviews the matrix model of M theory. M theory is an 11-dimensional quantum
theory of gravity that is believed to underlie all superstring theories. M theory is currently the …

(2, 0) theory on S5× S1 and quantum M2 branes

M Beccaria, S Giombi, AA Tseytlin - Nuclear Physics B, 2024‏ - Elsevier
The superconformal index Z of the 6d (2, 0) theory on S 5× S 1 (which is related to the
localization partition function of 5d SYM on S 5) should be captured at large N by the …

Superpotentials and membrane instantons

JA Harvey, G Moore - arxiv preprint hep-th/9907026, 1999‏ - arxiv.org
We investigate nonperturbative effects in M-theory compactifications arising from wrapped
membranes. In particular, we show that in $ d= 4,\mathcal {N}= 1$ compactifications along …

Introducing Cadabra: a symbolic computer algebra system for field theory problems

K Peeters - arxiv preprint hep-th/0701238, 2007‏ - arxiv.org
Cadabra is a new computer algebra system designed specifically for the solution of
problems encountered in field theory. It has extensive functionality for tensor polynomial …

Matrix perturbation theory for M-theory on a PP-wave

K Dasgupta, MM Sheikh-Jabbari… - Journal of High …, 2002‏ - iopscience.iop.org
In this paper, we study the matrix model proposed by Berenstein, Maldacena, and Nastase
to describe M-theory on the maximally supersymmetric pp-wave. We show that the model …

Vortex loop operators and quantum M2-branes

N Drukker, O Shahpo - SciPost Physics, 2024‏ - scipost.org
We study M2-branes in $ AdS_4× S^ 7/\mathbb {Z} _k $ dual to 1/2 and 1/3 BPS vortex loop
operators in ABJM theory and compute their one-loop correction beyond the classical M2 …

Quantum holographic surface anomalies

N Drukker, O Shahpo, M Trépanier - Journal of Physics A …, 2024‏ - iopscience.iop.org
Expectation values of surface operators suffer from logarithmic divergences reflecting a
conformal anomaly. In a holographic setting, where surface operators can be computed by a …

[HTML][HTML] T-duality in the Green–Schwarz formalism, and the massless/massive IIA duality map

M Cvetič, H Lü, CN Pope, KS Stelle - Nuclear Physics B, 2000‏ - Elsevier
We derive a component-field expansion of the Green–Schwarz action for the type IIA string,
in an arbitrary background of massless NS–NS and R–R bosonic fields, up to quadratic …

The complete AdS4× CP3 superspace for the type IIA superstring and D-branes

J Gomis, D Sorokin, L Wulff - Journal of High Energy Physics, 2009‏ - iopscience.iop.org
We lift the bosonic AdS 4× CP 3 solution of type IIA supergravity preserving 24
supersymmetries to a D= 10 superspace which has 32 Grassmann-odd directions. The type …

Time and M-theory

V Jejjala, M Kavic, D Minic - International Journal of Modern Physics …, 2007‏ - World Scientific
We review our recent proposal for a background-independent formulation of a holographic
theory of quantum gravity. The present paper incorporates the necessary background …