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
46201	SU2adj1nf2	${}\phi_{1}q_{1}^{2}$ + ${ }\phi_{1}^{4}$ + ${ }M_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{3}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{4}\tilde{q}_{1}\tilde{q}_{2}$	0.6426	0.819	0.7847	[M:[1.1608, 0.6858, 0.6783, 1.1534], q:[0.75, 0.4034], qb:[0.4108, 0.4358], phi:[0.5]]	[M:[[1, 0], [0, 1], [-2, 0], [-1, -1]], q:[[0, 0], [-1, -1]], qb:[[1, 0], [0, 1]], phi:[[0, 0]]]	2

Relevant Operators	Marginal Operators	$n_{marginal}$$-$$|F_{IR}|$	Superconformal Index	Refined index
${}M_{3}$, ${ }M_{2}$, ${ }q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{2}$, ${ }M_{4}$, ${ }q_{1}q_{2}$, ${ }M_{1}$, ${ }q_{1}\tilde{q}_{1}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{3}^{2}$, ${ }M_{2}M_{3}$, ${ }M_{2}^{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{3}q_{2}\tilde{q}_{1}$, ${ }M_{2}q_{2}\tilde{q}_{1}$, ${ }q_{2}^{2}\tilde{q}_{1}^{2}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{2}\phi_{1}^{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$, ${ }M_{3}M_{4}$, ${ }M_{3}q_{1}q_{2}$, ${ }M_{1}M_{3}$, ${ }M_{2}M_{4}$, ${ }M_{2}q_{1}q_{2}$, ${ }M_{3}q_{1}\tilde{q}_{1}$, ${ }M_{1}M_{2}$, ${ }M_{2}q_{1}\tilde{q}_{1}$, ${ }M_{3}q_{1}\tilde{q}_{2}$, ${ }M_{2}q_{1}\tilde{q}_{2}$, ${ }M_{4}q_{2}\tilde{q}_{1}$, ${ }q_{1}q_{2}^{2}\tilde{q}_{1}$, ${ }q_{1}q_{2}\tilde{q}_{1}^{2}$, ${ }M_{3}\phi_{1}q_{2}^{2}$	${}$	-2	t^2.035 + t^2.057 + t^2.443 + t^3. + 2*t^3.46 + 2*t^3.482 + t^3.557 + t^3.92 + t^4.018 + t^4.04 + t^4.07 + t^4.092 + 2*t^4.115 + t^4.478 + t^4.5 + t^4.885 + t^5.035 + t^5.057 + t^5.443 + 2*t^5.495 + 4*t^5.518 + 2*t^5.54 + t^5.592 + t^5.615 + t^5.903 + t^5.925 + t^5.955 - 2*t^6. - t^6.022 + t^6.053 + t^6.075 + t^6.105 + t^6.127 + 2*t^6.15 + 2*t^6.172 + t^6.363 + t^6.46 + t^6.482 + t^6.513 + t^6.535 + t^6.557 + 4*t^6.92 + 3*t^6.943 + 2*t^6.965 + t^7.018 + t^7.04 + t^7.07 + t^7.092 + 2*t^7.115 + t^7.328 + 2*t^7.381 - 2*t^7.425 + 2*t^7.478 + t^7.5 + 2*t^7.53 + 4*t^7.553 + 5*t^7.575 + 3*t^7.597 + t^7.627 + t^7.65 + 2*t^7.672 + t^7.841 + 2*t^7.938 + t^7.96 - t^7.982 + t^7.99 - t^8.035 - 4*t^8.057 - t^8.08 + t^8.088 + t^8.11 + t^8.132 + t^8.14 + t^8.155 + t^8.162 + 2*t^8.185 + 2*t^8.207 + 3*t^8.229 + t^8.345 + t^8.368 + t^8.398 - 2*t^8.443 - t^8.465 + t^8.495 + t^8.518 + t^8.548 + t^8.57 + t^8.592 + t^8.615 + t^8.806 + 4*t^8.955 + 5*t^8.978 - t^4.5/y - t^6.535/y - t^6.557/y + t^7.018/y + t^7.04/y + t^7.092/y + t^7.478/y + t^7.5/y - t^7.96/y - t^7.982/y + t^8.035/y + t^8.057/y + (2*t^8.443)/y + t^8.465/y + (2*t^8.495)/y + (4*t^8.518)/y + (2*t^8.54)/y - t^8.57/y + (2*t^8.903)/y + (2*t^8.925)/y + t^8.955/y + t^8.978/y - t^4.5*y - t^6.535*y - t^6.557*y + t^7.018*y + t^7.04*y + t^7.092*y + t^7.478*y + t^7.5*y - t^7.96*y - t^7.982*y + t^8.035*y + t^8.057*y + 2*t^8.443*y + t^8.465*y + 2*t^8.495*y + 4*t^8.518*y + 2*t^8.54*y - t^8.57*y + 2*t^8.903*y + 2*t^8.925*y + t^8.955*y + t^8.978*y	t^2.035/g1^2 + g2*t^2.057 + t^2.443/g2 + t^3. + (2*t^3.46)/(g1*g2) + 2*g1*t^3.482 + g2*t^3.557 + t^3.92/(g1^2*g2^2) + t^4.018/g1 + g1*g2*t^4.04 + t^4.07/g1^4 + (g2*t^4.092)/g1^2 + 2*g2^2*t^4.115 + t^4.478/(g1^2*g2) + t^4.5 + t^4.885/g2^2 + t^5.035/g1^2 + g2*t^5.057 + t^5.443/g2 + (2*t^5.495)/(g1^3*g2) + (4*t^5.518)/g1 + 2*g1*g2*t^5.54 + (g2*t^5.592)/g1^2 + g2^2*t^5.615 + t^5.903/(g1*g2^2) + (g1*t^5.925)/g2 + t^5.955/(g1^4*g2^2) - 2*t^6. - g1^2*g2*t^6.022 + t^6.053/g1^3 + (g2*t^6.075)/g1 + t^6.105/g1^6 + (g2*t^6.127)/g1^4 + (2*g2^2*t^6.15)/g1^2 + 2*g2^3*t^6.172 + t^6.363/(g1^2*g2^3) + t^6.46/(g1*g2) + g1*t^6.482 + t^6.513/(g1^4*g2) + t^6.535/g1^2 + g2*t^6.557 + (4*t^6.92)/(g1^2*g2^2) + (3*t^6.943)/g2 + 2*g1^2*t^6.965 + t^7.018/g1 + g1*g2*t^7.04 + t^7.07/g1^4 + (g2*t^7.092)/g1^2 + 2*g2^2*t^7.115 + t^7.328/g2^3 + (2*t^7.381)/(g1^3*g2^3) - (2*g1*t^7.425)/g2 + (2*t^7.478)/(g1^2*g2) + t^7.5 + (2*t^7.53)/(g1^5*g2) + (4*t^7.553)/g1^3 + (5*g2*t^7.575)/g1 + 3*g1*g2^2*t^7.597 + (g2*t^7.627)/g1^4 + (g2^2*t^7.65)/g1^2 + 2*g2^3*t^7.672 + t^7.841/(g1^4*g2^4) + (2*t^7.938)/(g1^3*g2^2) + t^7.96/(g1*g2) - g1*t^7.982 + t^7.99/(g1^6*g2^2) - t^8.035/g1^2 - 4*g2*t^8.057 - g1^2*g2^2*t^8.08 + t^8.088/g1^5 + (g2*t^8.11)/g1^3 + (g2^2*t^8.132)/g1 + t^8.14/g1^8 + g1*g2^3*t^8.155 + (g2*t^8.162)/g1^6 + (2*g2^2*t^8.185)/g1^4 + (2*g2^3*t^8.207)/g1^2 + 3*g2^4*t^8.229 + t^8.345/(g1*g2^3) + (g1*t^8.368)/g2^2 + t^8.398/(g1^4*g2^3) - (2*t^8.443)/g2 - g1^2*t^8.465 + t^8.495/(g1^3*g2) + t^8.518/g1 + t^8.548/(g1^6*g2) + t^8.57/g1^4 + (g2*t^8.592)/g1^2 + g2^2*t^8.615 + t^8.806/(g1^2*g2^4) + (4*t^8.955)/(g1^4*g2^2) + (5*t^8.978)/(g1^2*g2) - t^4.5/y - t^6.535/(g1^2*y) - (g2*t^6.557)/y + t^7.018/(g1*y) + (g1*g2*t^7.04)/y + (g2*t^7.092)/(g1^2*y) + t^7.478/(g1^2*g2*y) + t^7.5/y - t^7.96/(g1*g2*y) - (g1*t^7.982)/y + t^8.035/(g1^2*y) + (g2*t^8.057)/y + (2*t^8.443)/(g2*y) + (g1^2*t^8.465)/y + (2*t^8.495)/(g1^3*g2*y) + (4*t^8.518)/(g1*y) + (2*g1*g2*t^8.54)/y - t^8.57/(g1^4*y) + (2*t^8.903)/(g1*g2^2*y) + (2*g1*t^8.925)/(g2*y) + t^8.955/(g1^4*g2^2*y) + t^8.978/(g1^2*g2*y) - t^4.5*y - (t^6.535*y)/g1^2 - g2*t^6.557*y + (t^7.018*y)/g1 + g1*g2*t^7.04*y + (g2*t^7.092*y)/g1^2 + (t^7.478*y)/(g1^2*g2) + t^7.5*y - (t^7.96*y)/(g1*g2) - g1*t^7.982*y + (t^8.035*y)/g1^2 + g2*t^8.057*y + (2*t^8.443*y)/g2 + g1^2*t^8.465*y + (2*t^8.495*y)/(g1^3*g2) + (4*t^8.518*y)/g1 + 2*g1*g2*t^8.54*y - (t^8.57*y)/g1^4 + (2*t^8.903*y)/(g1*g2^2) + (2*g1*t^8.925*y)/g2 + (t^8.955*y)/(g1^4*g2^2) + (t^8.978*y)/(g1^2*g2)

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
46487	${}\phi_{1}q_{1}^{2}$ + ${ }\phi_{1}^{4}$ + ${ }M_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{3}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{4}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{2}$	0.6352	0.809	0.7853	[M:[1.1397, 0.75, 0.7206, 1.1103], q:[0.75, 0.3603], qb:[0.3897, 0.5], phi:[0.5]]	t^2.162 + 2*t^2.25 + t^3. + 2*t^3.331 + 2*t^3.419 + t^3.662 + t^3.75 + t^4.081 + t^4.169 + t^4.324 + 2*t^4.412 + 4*t^4.5 + t^5.162 + 2*t^5.25 + 2*t^5.493 + 5*t^5.581 + 3*t^5.669 + t^5.824 + 2*t^5.912 - t^6. - t^4.5/y - t^4.5*y	detail
46524	${}\phi_{1}q_{1}^{2}$ + ${ }\phi_{1}^{4}$ + ${ }M_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{3}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{4}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$	0.6364	0.8069	0.7887	[M:[1.114, 0.728, 0.772, 1.158], q:[0.75, 0.408], qb:[0.364, 0.478], phi:[0.5]]	t^2.184 + 2*t^2.316 + t^3. + 2*t^3.342 + 2*t^3.474 + t^3.684 + t^3.948 + t^4.026 + t^4.158 + 2*t^4.368 + 2*t^4.5 + 3*t^4.632 + t^5.184 + 2*t^5.316 + 2*t^5.526 + 5*t^5.658 + 3*t^5.79 - t^6. - t^4.5/y - t^4.5*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
46033	SU2adj1nf2	${}\phi_{1}q_{1}^{2}$ + ${ }\phi_{1}^{4}$ + ${ }M_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{3}\phi_{1}\tilde{q}_{1}^{2}$	0.6567	0.843	0.7791	[M:[1.1525, 0.6728, 0.6949], q:[0.75, 0.4246], qb:[0.4025, 0.4228], phi:[0.5]]	t^2.019 + t^2.085 + t^2.476 + t^2.481 + t^3. + 2*t^3.458 + t^3.519 + t^3.524 + t^3.976 + 2*t^4.037 + t^4.042 + t^4.048 + t^4.103 + t^4.169 + t^4.495 + t^4.5 + t^4.561 + t^4.566 + t^4.952 + t^4.958 + t^4.963 + t^5.019 + t^5.085 + 3*t^5.476 + t^5.481 + t^5.537 + 3*t^5.542 + t^5.603 + t^5.609 + t^5.934 + t^5.939 + t^5.995 - t^6. - t^4.5/y - t^4.5*y	detail