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
2807	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ + ${ }M_{2}M_{5}$	0.6216	0.8091	0.7682	[M:[0.9492, 1.1525, 0.9492, 0.7288, 0.8475], q:[0.7373, 0.3136], qb:[0.4322, 0.4152], phi:[0.5254]]	[M:[[-4], [12], [-4], [18], [-12]], q:[[-1], [5]], qb:[[-25], [13]], phi:[[2]]]	1

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

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
3329	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ + ${ }M_{2}M_{5}$ + ${ }M_{5}M_{6}$	0.6085	0.7868	0.7733	[M:[0.9512, 1.1463, 0.9512, 0.7194, 0.8537, 1.1463], q:[0.7378, 0.3109], qb:[0.4453, 0.4085], 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
1795	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$	0.6272	0.8147	0.7699	[M:[0.9777, 1.0668, 0.9777, 0.7484, 0.785], q:[0.7444, 0.2778], qb:[0.4626, 0.4706], phi:[0.5111]]	t^2.221 + 2*t^2.245 + t^2.355 + 2*t^2.933 + 2*t^3.2 + t^3.621 + t^3.779 + t^4.309 + t^4.333 + t^4.357 + t^4.443 + 2*t^4.467 + 3*t^4.491 + t^4.576 + 2*t^4.6 + t^4.71 + 2*t^5.155 + 4*t^5.179 + 2*t^5.288 + t^5.422 + 3*t^5.446 + 2*t^5.555 + t^5.842 + 4*t^5.866 - 3*t^6. - t^4.533/y - t^4.533*y	detail