<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.svg"><mml:mover accent="true"><mml:mrow><mml:mi>s</mml:mi><mml:mi>l</mml:mi><mml:mo stretchy="false">(</mml:mo><mml:mn>2</mml:mn><mml:mo stretchy="false">)</mml:mo></mml:mrow><mml:mrow><mml:mo>ˆ</mml:mo></mml:mrow></mml:mover></mml:math> decomposition of denominator formulae of some BKM Lie superalgebras

Govindarajan, Suresh; Shabbir, Mohammad; Viswanath, Sankaran

doi:10.1016/j.nuclphysb.2021.115614

Search citation statements

Order By: Relevance

Paper Sections

Select...

Discussion1

Citation Types

Supporting

Mentioning

Contrasting

Year Published

2023

Publication Types

Select...

Article2

Relationship

Self Cite1

Independent1

Authors

Journals

Cited by 2 publications

(1 citation statement)

References 17 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…The three examples that we have obtained here might lead to such a theory. This is something we hope to report on in the future [34].…”

Section: Discussionmentioning

confidence: 75%

BKM Lie superalgebras from counting twisted CHL dyons – II

Govindarajan

Samanta

2019

Nuclear Physics B

Self Cite

View full text Add to dashboard Cite

We revisit our earlier work which lead to periodic table of Borcherds-Kac-Moody algebras that appeared in the context of the refined generating function of quarter-BPS (dyons) in N = 4 supersymmetric fourdimensional string theory. We make new additions to the periodic table by making use of connections with generalized Mathieu moonshine as well as umbral moonshine. We show the modularity of some Siegel modular forms that appear in umbral moonshine associated with Niemeier lattices constructed from A-type root systems and further show that the same Siegel modular forms appear for generalized Mathieu moonshine in some cases. We argue for the existence of a new kind of BKM Lie superalgebras that arise from the dyon generating functions for the Z 5 and Z 6 CHL orbifolds. * suresh@physics.iitm.ac.in † sutapa@physics.iitm.ac.in

show abstract

“…The three examples that we have obtained here might lead to such a theory. This is something we hope to report on in the future [34].…”

Section: Discussionmentioning

confidence: 75%