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
2019	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$	0.6465	0.8499	0.7606	[M:[0.9772, 1.0684, 0.9772, 0.7443, 0.7443, 0.7899], q:[0.7443, 0.2785], qb:[0.4658, 0.4658], phi:[0.5114]]	[M:[[4], [-12], [4], [1], [1], [-7]], q:[[1], [-5]], qb:[[6], [6]], phi:[[-2]]]	1

Relevant Operators	Marginal Operators	$n_{marginal}$$-$$|F_{IR}|$	Superconformal Index	Refined index
${}M_{4}$, ${ }M_{5}$, ${ }q_{2}\tilde{q}_{1}$, ${ }q_{2}\tilde{q}_{2}$, ${ }M_{6}$, ${ }M_{1}$, ${ }M_{3}$, ${ }M_{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }q_{1}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{4}^{2}$, ${ }M_{4}M_{5}$, ${ }M_{5}^{2}$, ${ }M_{4}q_{2}\tilde{q}_{1}$, ${ }M_{5}q_{2}\tilde{q}_{1}$, ${ }q_{2}^{2}\tilde{q}_{1}^{2}$, ${ }M_{4}q_{2}\tilde{q}_{2}$, ${ }M_{5}q_{2}\tilde{q}_{2}$, ${ }q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{2}^{2}\tilde{q}_{2}^{2}$, ${ }M_{4}M_{6}$, ${ }M_{5}M_{6}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }M_{6}q_{2}\tilde{q}_{1}$, ${ }M_{6}q_{2}\tilde{q}_{2}$, ${ }M_{6}^{2}$, ${ }M_{1}M_{4}$, ${ }M_{3}M_{4}$, ${ }M_{1}M_{5}$, ${ }M_{3}M_{5}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{3}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{3}q_{2}\tilde{q}_{2}$, ${ }M_{1}M_{6}$, ${ }M_{3}M_{6}$, ${ }M_{2}M_{4}$, ${ }M_{2}M_{5}$, ${ }M_{4}\phi_{1}q_{2}^{2}$, ${ }M_{5}\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{2}^{3}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}^{3}\tilde{q}_{2}$, ${ }M_{2}M_{6}$, ${ }M_{6}\phi_{1}q_{2}^{2}$, ${ }M_{1}^{2}$, ${ }M_{1}M_{3}$, ${ }M_{3}^{2}$, ${ }M_{4}q_{1}\tilde{q}_{1}$, ${ }M_{5}q_{1}\tilde{q}_{1}$, ${ }q_{1}q_{2}\tilde{q}_{1}^{2}$	${}M_{6}q_{1}\tilde{q}_{1}$	-5	4*t^2.233 + t^2.37 + 2*t^2.932 + 2*t^3.205 + t^3.63 + 3*t^4.329 + 10*t^4.466 + 4*t^4.603 + t^4.739 + 8*t^5.165 + 2*t^5.301 + 6*t^5.438 + 2*t^5.575 + 6*t^5.863 - 5*t^6. + 2*t^6.137 + 3*t^6.41 + 10*t^6.562 + 19*t^6.699 + 8*t^6.835 + 2*t^6.972 + t^7.109 + 4*t^7.261 + 15*t^7.397 + 6*t^7.534 + 14*t^7.671 + 6*t^7.808 + 2*t^7.945 + t^7.959 + 12*t^8.096 - 18*t^8.233 - t^8.37 + 2*t^8.506 + 8*t^8.643 + 5*t^8.658 + 3*t^8.78 + 24*t^8.795 + 18*t^8.932 - t^4.534/y - (2*t^6.767)/y - t^6.904/y + t^7.329/y + (5*t^7.466)/y + (5*t^7.603)/y - t^7.739/y + (9*t^8.165)/y + (4*t^8.301)/y + (8*t^8.438)/y + (2*t^8.575)/y + (5*t^8.863)/y - t^4.534*y - 2*t^6.767*y - t^6.904*y + t^7.329*y + 5*t^7.466*y + 5*t^7.603*y - t^7.739*y + 9*t^8.165*y + 4*t^8.301*y + 8*t^8.438*y + 2*t^8.575*y + 5*t^8.863*y	4*g1*t^2.233 + t^2.37/g1^7 + 2*g1^4*t^2.932 + (2*t^3.205)/g1^12 + g1^7*t^3.63 + 3*g1^10*t^4.329 + 10*g1^2*t^4.466 + (4*t^4.603)/g1^6 + t^4.739/g1^14 + 8*g1^5*t^5.165 + (2*t^5.301)/g1^3 + (6*t^5.438)/g1^11 + (2*t^5.575)/g1^19 + 6*g1^8*t^5.863 - 5*t^6. + (2*t^6.137)/g1^8 + (3*t^6.41)/g1^24 + 10*g1^11*t^6.562 + 19*g1^3*t^6.699 + (8*t^6.835)/g1^5 + (2*t^6.972)/g1^13 + t^7.109/g1^21 + 4*g1^14*t^7.261 + 15*g1^6*t^7.397 + (6*t^7.534)/g1^2 + (14*t^7.671)/g1^10 + (6*t^7.808)/g1^18 + (2*t^7.945)/g1^26 + g1^17*t^7.959 + 12*g1^9*t^8.096 - 18*g1*t^8.233 - t^8.37/g1^7 + (2*t^8.506)/g1^15 + (8*t^8.643)/g1^23 + 5*g1^20*t^8.658 + (3*t^8.78)/g1^31 + 24*g1^12*t^8.795 + 18*g1^4*t^8.932 - t^4.534/(g1^2*y) - (2*t^6.767)/(g1*y) - t^6.904/(g1^9*y) + (g1^10*t^7.329)/y + (5*g1^2*t^7.466)/y + (5*t^7.603)/(g1^6*y) - t^7.739/(g1^14*y) + (9*g1^5*t^8.165)/y + (4*t^8.301)/(g1^3*y) + (8*t^8.438)/(g1^11*y) + (2*t^8.575)/(g1^19*y) + (5*g1^8*t^8.863)/y - (t^4.534*y)/g1^2 - (2*t^6.767*y)/g1 - (t^6.904*y)/g1^9 + g1^10*t^7.329*y + 5*g1^2*t^7.466*y + (5*t^7.603*y)/g1^6 - (t^7.739*y)/g1^14 + 9*g1^5*t^8.165*y + (4*t^8.301*y)/g1^3 + (8*t^8.438*y)/g1^11 + (2*t^8.575*y)/g1^19 + 5*g1^8*t^8.863*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
3074	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{2}M_{6}$	0.6409	0.8449	0.7586	[M:[0.9474, 1.1579, 0.9474, 0.7368, 0.7368, 0.8421], q:[0.7368, 0.3158], qb:[0.4211, 0.4211], phi:[0.5263]]	4*t^2.211 + t^2.526 + 2*t^2.842 + 3*t^3.474 + 3*t^4.105 + 10*t^4.421 + 4*t^4.737 + 9*t^5.053 + 2*t^5.368 + 12*t^5.684 - 3*t^6. - t^4.579/y - t^4.579*y	detail	{a: 1851/2888, c: 305/361, M1: 18/19, M2: 22/19, M3: 18/19, M4: 14/19, M5: 14/19, M6: 16/19, q1: 14/19, q2: 6/19, qb1: 8/19, qb2: 8/19, phi1: 10/19}
3075	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{7}q_{1}\tilde{q}_{1}$	0.6639	0.8812	0.7534	[M:[0.9843, 1.0472, 0.9843, 0.7461, 0.7461, 0.7775, 0.7775], q:[0.7461, 0.2697], qb:[0.4764, 0.4764], phi:[0.5079]]	4*t^2.238 + 2*t^2.333 + 2*t^2.953 + 2*t^3.142 + 3*t^4.382 + 10*t^4.476 + 8*t^4.571 + 3*t^4.665 + 8*t^5.191 + 4*t^5.285 + 6*t^5.38 + 4*t^5.474 + 2*t^5.906 - 6*t^6. - t^4.524/y - t^4.524*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
860	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{2}$	0.6298	0.8212	0.7669	[M:[0.9687, 1.094, 0.9687, 0.7422, 0.7422], q:[0.7422, 0.2892], qb:[0.453, 0.453], phi:[0.5157]]	4*t^2.226 + 2*t^2.906 + 2*t^3.282 + 2*t^3.585 + 3*t^4.265 + 10*t^4.453 + 8*t^5.132 + 6*t^5.509 + 10*t^5.812 - 6*t^6. - t^4.547/y - t^4.547*y	detail