Landscape

Select a theory SU(2): 4 fund + 4 anti-fund (not completed) SU(2): 1 Adj + 1 fund + 1 anti-fund SU(2): 1 Adj + 2 fund + 2 anti-fund (not completed) SU(2): 1 Adj + 3 fund + 3 anti-fund (not completed) SU(2): 2 Adj SU(2): 2 Adj + 1 fund + 1 anti-fund SU(3): 6 fund + 6 anti-fund (not completed) SU(3): 1 Adj + 1 fund + 1 anti-fund SU(3): 1 Adj + 2 fund + 2 anti-fund (not completed) SU(5): 2 rank-2 symm + (conj.) SU(5): 1 rank-2 symm + 1 rank-2 anti-symm + (conj.) SU(5): 1 rank-2 symm + 1 rank-2 anti-symm + 1 fund + (conj.) (not completed) SU(5): 1 rank-2 symm + 1 rank-2 anti-symm + 2 conj. of rank-2 anti-symm + 8 anti-fund (not completed) SU(5): 1 rank-2 symm + 1 rank-2 anti-symm + 2 conj. of rank-2 anti-symm + 1 fund + 9 anti-fund (not completed) SU(5): 1 Adj + 1 rank-2 symm + 1 conj. of rank-2 symm SU(5): 1 Adj + 1 rank-2 symm + 1 conj. of rank-2 symm + 1 fund + 1 anti-fund SU(5): 1 Adj + 1 rank-2 symm + 1 conj. of rank-2 anti-symm + 8 anti-fund (not completed) SU(5): 1 Adj + 1 rank-2 anti-symm + 1 conj. of rank-2 anti-symm SU(5): 1 Adj + 1 rank-2 anti-symm + 1 conj. of rank-2 anti-symm + 1 fund + 1 anti-fund (not completed) SU(5): 1 rank-2 symm + 2 rank-2 anti-symm + (conj.) (not completed) SU(5): 1 rank-2 symm + 2 rank-2 anti-symm + 1 fund + (conj.) (not completed) SU(5): 3 rank-2 anti-symm + (conj.) (not completed) SU(5): 3 rank-2 anti-symm + 1 fund + (conj.) (not completed) SU(5): 1 Adj + 2 rank-2 anti-symm + 2 conj. of rank-2 anti-symm (not completed) SU(5): 2 Adj + 1 anti-symm + 1 conj. of rank-2 anti-symm (not completed) SU(5): 2 Adj + 1 anti-symm + 1 conj. of rank-2 anti-symm + 1 fund + 1 anti-fund (not completed) SU(6): 2 rank-2 symm + (conj.) SU(6): 2 rank-2 symm + 1 fund + (conj.) SU(6): 1 rank-2 symm + 1 rank-2 anti-symm + (conj.) SU(6): 1 rank-2 symm + 1 rank-2 anti-symm + 2 conj. of rank-2 anti-symm + 1 fund + 9 anti-fund (not completed) SU(6): 1 Adj + 1 rank-2 symm + 1 conj. of rank-2 symm SU(6): 1 Adj + 1 rank-2 symm + 1 conj. of rank-2 anti-symm + 1 fund + 9 anti-fund (not completed) SU(7): 1 rank-2 symm + 2 conj. of rank-2 symm + 1 anti-symm + 8 fund (not completed) SU(7): 2 rank-2 symm + 1 fund + (conj.) (not completed) SU(8): 1 rank-2 symm + 2 conj. of rank-2 symm + 1 anti-symm + 9 fund + 1 anti-fund (not completed) SU(9): 2 rank-2 symm + 2 conj. of rank-2 anti-symm + 16 anti-fund (not completed) SU(9): 2 rank-2 anti-symm + (conj.) (not completed) SU(9): 2 rank-2 anti-symm + 1 fund (conj.) (not completed) SU(10): 2 rank-2 symm + 2 conj. of rank-2 anti-symm + 1 fund + 17 anti-fund (not completed) SO(5): 5 vector (not completed) SO(5): 1 Adj + 1 vector SO(5): 1 Adj + 2 vector SO(5): 1 rank-2 symm SO(5): 1 rank-2 symm + 1 vector SO(5): 1 rank-2 symm + 2 vector SO(5): 2 Adj (not completed) SO(5): 2 Adj + 1 vector (not completed) SO(7): 1 rank-2 symm + 1 rank-2 anti-symm SO(8): 1 Adj + 1 rank-2 symm + 1 vector (not completed) SO(11): 2 rank-2 symm SO(12): 2 rank-2 symm + 1 vector Sp(2): 1 Adj + 2 fund Sp(2): 1 Adj + 4 fund (not completed) Sp(2): 1 14 + 2 fund Sp(2): 2 Adj Sp(2): 2 Adj + 2 fund (not completed) Sp(2): 1 Adj + 1 rank-2 anti-symm + 2 fund (not completed) Sp(2): 1 Adj + 2 rank-2 anti-symm + 2 fund (not completed) Sp(2): 2 Adj + 1 rank-2 anti-symm + 2 fund (not completed) Sp(2): 1 Adj + 2 rank-2 anti-symm + 8 fund (not completed) Sp(3): 2 Adj + 1 rank-2 anti-symm Sp(3): 3 rank-2 anti-symm + 2 fund (not completed) Sp(4): 3 rank-2 anti-symm (not completed) Sp(4): 3 rank-2 anti-symm + 2 fund (not completed) Sp(4): 2 rank-2 anti-symm + 2 fund (not completed) Sp(4): 2 rank-2 anti-symm (not completed) Sp(4): 2 rank-2 anti-symm + 2 fund (not completed) G2: 1 Adj + 1 fund H0+H1 (not completed) E[USp(6)] (not completed) All theories Data used in arXiv:2408.02953

$a$ =

$c$ =

$\leq a \leq$

$\leq c \leq$

id =

Search for theories with rational R-charges and central charges.

Chosen Fixed Point

Here is the data for the chosen fixed point.
$F_{UV}$ represents the flavor symmetries in the UV Lagrangian, and $F_{IR}$ represents the flavor symmetries in the IR. $F_{UV}$ and $F_{IR}$ can differ due to accidental symmetry enhancement.
The number of marginal operators, $n_{marginal}$, minus the dimension of flavor symmetries in IR, $|F_{IR}|$, corresponds to the coefficient of $t^6$ in the superconformal index.

#	Theory	Superpotential	Central charge $a$	Central charge $c$	Ratio $a/c$	Matter field: $R$-charge	U(1) part of $F_{UV}$	Rank of $F_{UV}$	Rational
296	SU2adj1nf2	${}\phi_{1}q_{1}q_{2}$ + ${ }M_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{1}M_{2}$ + ${ }M_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$	0.506	0.6461	0.7832	[M:[1.2155, 0.7845, 0.7845], q:[0.4052, 1.1896], qb:[0.3793, 0.4052], phi:[0.4052]]	[M:[[3], [-3], [-3]], q:[[1], [-2]], qb:[[-4], [1]], phi:[[1]]]	1

Relevant Operators	Marginal Operators	$n_{marginal}$$-$$|F_{IR}|$	Superconformal Index	Refined index
${}M_{2}$, ${ }M_{3}$, ${ }\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{2}^{2}$, ${ }M_{2}M_{3}$, ${ }M_{3}^{2}$, ${ }q_{2}\tilde{q}_{1}$, ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\tilde{q}_{1}^{2}\tilde{q}_{2}^{2}$, ${ }M_{2}\phi_{1}^{2}$, ${ }M_{3}\phi_{1}^{2}$, ${ }q_{1}q_{2}$, ${ }M_{2}q_{1}\tilde{q}_{2}$, ${ }M_{3}q_{1}\tilde{q}_{2}$, ${ }q_{2}\tilde{q}_{2}$, ${ }\phi_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{1}\tilde{q}_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}^{4}$, ${ }q_{1}^{2}\tilde{q}_{2}^{2}$, ${ }M_{2}\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{3}\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{1}^{3}\tilde{q}_{2}$, ${ }\phi_{1}^{3}\tilde{q}_{1}^{2}$, ${ }M_{3}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}\tilde{q}_{2}^{2}$	${}\phi_{1}^{3}\tilde{q}_{1}\tilde{q}_{2}$	-3	3*t^2.353 + 2*t^2.431 + t^3.491 + t^3.569 + 7*t^4.707 + 7*t^4.784 + 2*t^4.862 + 3*t^5.845 + 3*t^5.922 - 3*t^6. - 2*t^6.078 + t^6.982 + 13*t^7.06 + 12*t^7.138 + 3*t^7.216 + t^7.293 + 7*t^8.198 + 6*t^8.276 - 12*t^8.353 - 11*t^8.431 - 3*t^8.509 - t^4.216/y - t^6.569/y - t^6.647/y + (3*t^7.707)/y + (7*t^7.784)/y + (2*t^7.862)/y + (3*t^8.845)/y + (4*t^8.922)/y - t^4.216*y - t^6.569*y - t^6.647*y + 3*t^7.707*y + 7*t^7.784*y + 2*t^7.862*y + 3*t^8.845*y + 4*t^8.922*y	(3*t^2.353)/g1^3 + 2*g1^2*t^2.431 + t^3.491/g1^7 + t^3.569/g1^2 + (7*t^4.707)/g1^6 + (7*t^4.784)/g1 + 2*g1^4*t^4.862 + (3*t^5.845)/g1^10 + (3*t^5.922)/g1^5 - 3*t^6. - 2*g1^5*t^6.078 + t^6.982/g1^14 + (13*t^7.06)/g1^9 + (12*t^7.138)/g1^4 + 3*g1*t^7.216 + g1^6*t^7.293 + (7*t^8.198)/g1^13 + (6*t^8.276)/g1^8 - (12*t^8.353)/g1^3 - 11*g1^2*t^8.431 - 3*g1^7*t^8.509 - (g1*t^4.216)/y - t^6.569/(g1^2*y) - (g1^3*t^6.647)/y + (3*t^7.707)/(g1^6*y) + (7*t^7.784)/(g1*y) + (2*g1^4*t^7.862)/y + (3*t^8.845)/(g1^10*y) + (4*t^8.922)/(g1^5*y) - g1*t^4.216*y - (t^6.569*y)/g1^2 - g1^3*t^6.647*y + (3*t^7.707*y)/g1^6 + (7*t^7.784*y)/g1 + 2*g1^4*t^7.862*y + (3*t^8.845*y)/g1^10 + (4*t^8.922*y)/g1^5

Deformation

Here is the data for the deformed fixed points from the chosen fixed point.

#	Superpotential	Central Charge $a$	Central Charge $c$	Ratio $a/c$	$R$-charges	Superconformal Index	More Info.	Rational
470	${}\phi_{1}q_{1}q_{2}$ + ${ }M_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{1}M_{2}$ + ${ }M_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{4}\phi_{1}^{2}$	0.4904	0.6206	0.7902	[M:[1.2249, 0.7751, 0.7751, 1.1834], q:[0.4083, 1.1834], qb:[0.3667, 0.4083], phi:[0.4083]]	3*t^2.325 + t^2.45 + t^3.425 + 2*t^3.55 + 7*t^4.65 + 4*t^4.775 + 3*t^5.751 + 5*t^5.875 - 3*t^6. - t^4.225/y - t^4.225*y	detail

Equivalent Fixed Points from Other Seed Theories

Here is a list of equivalent fixed points from other gauge theories.

#	Theory	Superpotential	Central Charge $a$	Central Charge $c$	Ratio $a/c$	$R$-charges	Superconformal Index	More Info.	Rational

Equivalent Fixed Points from the Same Seed Theory

Below is a list of equivalent fixed points from the same seed theories.

id	Theory	Superpotential	Central Charge $a$	Central Charge $c$	Ratio $a/c$	$R$-charges	More Info.	Rational

Previous Theory

The previous fixed point before deforming to get the chosen fixed point.

#	Theory	Superpotential	Central Charge $a$	Central Charge $c$	Ratio $a/c$	$R$-charges	Superconformal Index	More Info.	Rational
186	SU2adj1nf2	${}\phi_{1}q_{1}q_{2}$ + ${ }M_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{1}M_{2}$ + ${ }M_{1}\tilde{q}_{1}\tilde{q}_{2}$	0.489	0.6143	0.7961	[M:[1.2024, 0.7976], q:[0.4008, 1.1984], qb:[0.3967, 0.4008], phi:[0.4008]]	2*t^2.393 + 2*t^2.405 + t^3.583 + t^3.595 + t^3.607 + 4*t^4.785 + 5*t^4.798 + 2*t^4.81 + 2*t^5.976 + 2*t^5.988 - t^6. - t^4.202/y - t^4.202*y	detail