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): 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): 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 symm + (conj.) (not completed) SU(9): 2 rank-2 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 Sp(2): 1 Adj + 2 fund Sp(2): 1 14 + 2 fund Sp(2): 2 Adj Sp(2): 1 Adj + 2 rank-2 anti-symm + 8 fund (not completed) G2: 1 Adj + 1 fund E[USp(6)] (not completed) All theories Data used in arXiv:2408.02953

$a$ =

$c$ =

$\leq a \leq$

$\leq c \leq$

id =

Check if you want only theories with rational 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
46892	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}q_{2}^{2}$ + ${ }M_{5}\tilde{q}_{1}\tilde{q}_{2}$	0.6216	0.8091	0.7682	[M:[0.9492, 0.8475, 0.9492, 0.7288, 1.1525], q:[0.7373, 0.3136], qb:[0.4152, 0.4322], phi:[0.5254]]	[M:[[4], [12], [4], [-18], [-12]], q:[[1], [-5]], qb:[[-13], [25]], phi:[[-2]]]	1

Relevant Operators	Marginal Operators	$n_{marginal}$$-$$|F_{IR}|$	Superconformal Index	Refined index
${}M_{4}$, ${ }q_{2}\tilde{q}_{1}$, ${ }q_{2}\tilde{q}_{2}$, ${ }M_{2}$, ${ }M_{1}$, ${ }M_{3}$, ${ }M_{5}$, ${ }\phi_{1}q_{2}^{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{4}^{2}$, ${ }M_{4}q_{2}\tilde{q}_{1}$, ${ }q_{2}^{2}\tilde{q}_{1}^{2}$, ${ }M_{4}q_{2}\tilde{q}_{2}$, ${ }q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{2}^{2}\tilde{q}_{2}^{2}$, ${ }M_{2}M_{4}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }M_{2}q_{2}\tilde{q}_{1}$, ${ }M_{2}q_{2}\tilde{q}_{2}$, ${ }M_{1}M_{4}$, ${ }M_{3}M_{4}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{3}q_{2}\tilde{q}_{1}$, ${ }M_{2}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{3}q_{2}\tilde{q}_{2}$, ${ }M_{1}M_{2}$, ${ }M_{2}M_{3}$, ${ }M_{4}M_{5}$, ${ }M_{5}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}^{3}\tilde{q}_{1}$, ${ }M_{1}^{2}$, ${ }M_{1}M_{3}$, ${ }M_{3}^{2}$, ${ }M_{4}q_{1}\tilde{q}_{2}$, ${ }M_{5}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}^{3}\tilde{q}_{2}$, ${ }q_{1}q_{2}\tilde{q}_{2}^{2}$, ${ }\phi_{1}q_{2}^{2}\tilde{q}_{1}^{2}$	${}M_{2}M_{5}$	-1	2*t^2.186 + t^2.237 + t^2.542 + 2*t^2.847 + 2*t^3.458 + t^3.509 + t^3.763 + t^4.068 + t^4.119 + t^4.17 + 3*t^4.373 + 2*t^4.424 + t^4.475 + 2*t^4.729 + t^4.78 + 4*t^5.034 + 3*t^5.085 + 2*t^5.39 + 3*t^5.644 + 5*t^5.695 + t^5.746 + t^5.949 - t^6. + 2*t^6.254 + 4*t^6.305 + 3*t^6.356 + t^6.407 + 4*t^6.559 + 4*t^6.61 + t^6.661 + 2*t^6.712 + 5*t^6.915 + 3*t^6.966 + 3*t^7.017 + 6*t^7.22 + 3*t^7.271 + 2*t^7.322 + t^7.525 + 2*t^7.576 + 3*t^7.627 + t^7.678 + 5*t^7.83 + 6*t^7.881 + 5*t^7.932 + t^7.983 + 2*t^8.136 - 3*t^8.186 + t^8.237 + t^8.288 + t^8.339 + 3*t^8.441 + 4*t^8.491 + 5*t^8.542 + 3*t^8.593 + t^8.644 + 5*t^8.746 + 4*t^8.797 - 4*t^8.847 + t^8.898 + 2*t^8.949 - t^4.576/y - t^6.763/y + t^7.373/y + t^7.424/y + (3*t^7.729)/y + t^7.78/y + (4*t^8.034)/y + (2*t^8.085)/y + (3*t^8.39)/y + (4*t^8.644)/y + (5*t^8.695)/y + t^8.746/y + t^8.949/y - t^4.576*y - t^6.763*y + t^7.373*y + t^7.424*y + 3*t^7.729*y + t^7.78*y + 4*t^8.034*y + 2*t^8.085*y + 3*t^8.39*y + 4*t^8.644*y + 5*t^8.695*y + t^8.746*y + t^8.949*y	(2*t^2.186)/g1^18 + g1^20*t^2.237 + g1^12*t^2.542 + 2*g1^4*t^2.847 + (2*t^3.458)/g1^12 + g1^26*t^3.509 + t^3.763/g1^20 + t^4.068/g1^28 + g1^10*t^4.119 + g1^48*t^4.17 + (3*t^4.373)/g1^36 + 2*g1^2*t^4.424 + g1^40*t^4.475 + (2*t^4.729)/g1^6 + g1^32*t^4.78 + (4*t^5.034)/g1^14 + 3*g1^24*t^5.085 + 2*g1^16*t^5.39 + (3*t^5.644)/g1^30 + 5*g1^8*t^5.695 + g1^46*t^5.746 + t^5.949/g1^38 - t^6. + (2*t^6.254)/g1^46 + (4*t^6.305)/g1^8 + 3*g1^30*t^6.356 + g1^68*t^6.407 + (4*t^6.559)/g1^54 + (4*t^6.61)/g1^16 + g1^22*t^6.661 + 2*g1^60*t^6.712 + (5*t^6.915)/g1^24 + 3*g1^14*t^6.966 + 3*g1^52*t^7.017 + (6*t^7.22)/g1^32 + 3*g1^6*t^7.271 + 2*g1^44*t^7.322 + t^7.525/g1^40 + (2*t^7.576)/g1^2 + 3*g1^36*t^7.627 + g1^74*t^7.678 + (5*t^7.83)/g1^48 + (6*t^7.881)/g1^10 + 5*g1^28*t^7.932 + g1^66*t^7.983 + (2*t^8.136)/g1^56 - (3*t^8.186)/g1^18 + g1^20*t^8.237 + g1^58*t^8.288 + g1^96*t^8.339 + (3*t^8.441)/g1^64 + (4*t^8.491)/g1^26 + 5*g1^12*t^8.542 + 3*g1^50*t^8.593 + g1^88*t^8.644 + (5*t^8.746)/g1^72 + (4*t^8.797)/g1^34 - 4*g1^4*t^8.847 + g1^42*t^8.898 + 2*g1^80*t^8.949 - t^4.576/(g1^2*y) - t^6.763/(g1^20*y) + t^7.373/(g1^36*y) + (g1^2*t^7.424)/y + (3*t^7.729)/(g1^6*y) + (g1^32*t^7.78)/y + (4*t^8.034)/(g1^14*y) + (2*g1^24*t^8.085)/y + (3*g1^16*t^8.39)/y + (4*t^8.644)/(g1^30*y) + (5*g1^8*t^8.695)/y + (g1^46*t^8.746)/y + t^8.949/(g1^38*y) - (t^4.576*y)/g1^2 - (t^6.763*y)/g1^20 + (t^7.373*y)/g1^36 + g1^2*t^7.424*y + (3*t^7.729*y)/g1^6 + g1^32*t^7.78*y + (4*t^8.034*y)/g1^14 + 2*g1^24*t^8.085*y + 3*g1^16*t^8.39*y + (4*t^8.644*y)/g1^30 + 5*g1^8*t^8.695*y + g1^46*t^8.746*y + (t^8.949*y)/g1^38

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
55323	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}q_{2}^{2}$ + ${ }M_{5}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}M_{6}$	0.6085	0.7868	0.7733	[M:[0.9512, 0.8537, 0.9512, 0.7194, 1.1463, 1.1463], q:[0.7378, 0.3109], qb:[0.4085, 0.4453], phi:[0.5244]]	2*t^2.158 + t^2.269 + 2*t^2.854 + 3*t^3.439 + t^3.549 + t^3.731 + t^4.024 + t^4.134 + t^4.245 + 3*t^4.316 + 2*t^4.427 + t^4.537 + 4*t^5.012 + 2*t^5.122 + 5*t^5.597 + 6*t^5.707 + t^5.818 + t^5.89 - 3*t^6. - t^4.573/y - t^4.573*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
46662	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}q_{2}^{2}$	0.6351	0.8325	0.7629	[M:[0.9472, 0.8415, 0.9472, 0.7377], q:[0.7368, 0.316], qb:[0.4217, 0.4198], phi:[0.5264]]	t^2.208 + 2*t^2.213 + 2*t^2.525 + 2*t^2.842 + t^3.47 + t^3.475 + t^3.792 + t^4.098 + t^4.104 + t^4.109 + t^4.415 + 2*t^4.421 + 3*t^4.426 + 2*t^4.732 + 4*t^4.738 + 5*t^5.049 + 4*t^5.055 + 4*t^5.366 + t^5.678 + 4*t^5.683 + t^5.689 + t^5.994 - t^6. - t^4.579/y - t^4.579*y	detail