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
1257	SU2adj1nf2	${}\phi_{1}q_{1}q_{2}$ + ${ }M_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }M_{4}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{2}M_{5}$ + ${ }M_{1}M_{5}$ + ${ }M_{3}M_{4}$ + ${ }M_{3}M_{6}$	0.5881	0.7382	0.7966	[M:[0.6756, 0.6756, 1.0649, 0.9351, 1.3244, 0.9351], q:[0.9933, 0.604], qb:[0.3311, 0.4609], phi:[0.4027]]	[M:[[-20], [-20], [4], [-4], [20], [-4]], q:[[15], [-9]], qb:[[5], [13]], phi:[[-6]]]	1

Relevant Operators	Marginal Operators	$n_{marginal}$$-$$|F_{IR}|$	Superconformal Index	Refined index
${}M_{1}$, ${ }\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{2}$, ${ }M_{4}$, ${ }M_{6}$, ${ }q_{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{5}$, ${ }M_{1}^{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }M_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{1}\phi_{1}^{2}$, ${ }\tilde{q}_{1}^{2}\tilde{q}_{2}^{2}$, ${ }q_{1}q_{2}$, ${ }\phi_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{1}M_{4}$, ${ }M_{1}M_{6}$, ${ }\phi_{1}^{4}$, ${ }M_{4}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{6}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{6}\phi_{1}^{2}$, ${ }M_{1}q_{2}\tilde{q}_{2}$, ${ }q_{2}\tilde{q}_{1}\tilde{q}_{2}^{2}$, ${ }M_{4}^{2}$, ${ }M_{4}M_{6}$, ${ }M_{6}^{2}$, ${ }M_{1}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}\tilde{q}_{2}^{2}$	${}M_{4}q_{2}\tilde{q}_{2}$, ${ }M_{6}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}^{3}\tilde{q}_{1}\tilde{q}_{2}$	1	t^2.027 + t^2.376 + t^2.416 + 2*t^2.805 + t^3.195 + t^3.584 + t^3.973 + t^4.054 + t^4.363 + t^4.403 + t^4.443 + t^4.752 + 2*t^4.792 + 3*t^4.832 + 2*t^5.181 + 2*t^5.221 + t^5.571 + 3*t^5.611 + t^5.96 + t^6. + t^6.08 + t^6.349 + 2*t^6.389 + t^6.47 + t^6.738 + 2*t^6.779 + 3*t^6.859 + t^7.128 + 3*t^7.168 + 2*t^7.208 + 3*t^7.248 + 2*t^7.557 + t^7.597 + 4*t^7.637 + 2*t^7.946 + t^7.987 + t^8.027 + t^8.107 + 2*t^8.336 + 2*t^8.416 + t^8.496 + 2*t^8.725 + t^8.765 - 2*t^8.805 + 3*t^8.886 - t^4.208/y - t^6.235/y - t^6.624/y - t^7.013/y + (2*t^7.403)/y + t^7.443/y + (2*t^7.792)/y + (2*t^7.832)/y + (3*t^8.181)/y + (3*t^8.221)/y - t^8.262/y + t^8.571/y + (3*t^8.611)/y - t^8.651/y + t^8.96/y - t^4.208*y - t^6.235*y - t^6.624*y - t^7.013*y + 2*t^7.403*y + t^7.443*y + 2*t^7.792*y + 2*t^7.832*y + 3*t^8.181*y + 3*t^8.221*y - t^8.262*y + t^8.571*y + 3*t^8.611*y - t^8.651*y + t^8.96*y	t^2.027/g1^20 + g1^18*t^2.376 + t^2.416/g1^12 + (2*t^2.805)/g1^4 + g1^4*t^3.195 + g1^12*t^3.584 + g1^20*t^3.973 + t^4.054/g1^40 + g1^28*t^4.363 + t^4.403/g1^2 + t^4.443/g1^32 + g1^36*t^4.752 + 2*g1^6*t^4.792 + (3*t^4.832)/g1^24 + 2*g1^14*t^5.181 + (2*t^5.221)/g1^16 + g1^22*t^5.571 + (3*t^5.611)/g1^8 + g1^30*t^5.96 + t^6. + t^6.08/g1^60 + g1^38*t^6.349 + 2*g1^8*t^6.389 + t^6.47/g1^52 + g1^46*t^6.738 + 2*g1^16*t^6.779 + (3*t^6.859)/g1^44 + g1^54*t^7.128 + 3*g1^24*t^7.168 + (2*t^7.208)/g1^6 + (3*t^7.248)/g1^36 + 2*g1^32*t^7.557 + g1^2*t^7.597 + (4*t^7.637)/g1^28 + 2*g1^40*t^7.946 + g1^10*t^7.987 + t^8.027/g1^20 + t^8.107/g1^80 + 2*g1^48*t^8.336 + (2*t^8.416)/g1^12 + t^8.496/g1^72 + 2*g1^56*t^8.725 + g1^26*t^8.765 - (2*t^8.805)/g1^4 + (3*t^8.886)/g1^64 - t^4.208/(g1^6*y) - t^6.235/(g1^26*y) - t^6.624/(g1^18*y) - t^7.013/(g1^10*y) + (2*t^7.403)/(g1^2*y) + t^7.443/(g1^32*y) + (2*g1^6*t^7.792)/y + (2*t^7.832)/(g1^24*y) + (3*g1^14*t^8.181)/y + (3*t^8.221)/(g1^16*y) - t^8.262/(g1^46*y) + (g1^22*t^8.571)/y + (3*t^8.611)/(g1^8*y) - t^8.651/(g1^38*y) + (g1^30*t^8.96)/y - (t^4.208*y)/g1^6 - (t^6.235*y)/g1^26 - (t^6.624*y)/g1^18 - (t^7.013*y)/g1^10 + (2*t^7.403*y)/g1^2 + (t^7.443*y)/g1^32 + 2*g1^6*t^7.792*y + (2*t^7.832*y)/g1^24 + 3*g1^14*t^8.181*y + (3*t^8.221*y)/g1^16 - (t^8.262*y)/g1^46 + g1^22*t^8.571*y + (3*t^8.611*y)/g1^8 - (t^8.651*y)/g1^38 + g1^30*t^8.96*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
2296	${}\phi_{1}q_{1}q_{2}$ + ${ }M_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }M_{4}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{2}M_{5}$ + ${ }M_{1}M_{5}$ + ${ }M_{3}M_{4}$ + ${ }M_{3}M_{6}$ + ${ }M_{5}M_{7}$	0.6089	0.7794	0.7812	[M:[0.6737, 0.6737, 1.0653, 0.9347, 1.3263, 0.9347, 0.6737], q:[0.9948, 0.6031], qb:[0.3316, 0.4621], phi:[0.4021]]	2*t^2.021 + t^2.381 + t^2.413 + 2*t^2.804 + t^3.196 + t^3.587 + 3*t^4.042 + t^4.371 + 2*t^4.402 + 2*t^4.434 + t^4.762 + 2*t^4.794 + 5*t^4.825 + 2*t^5.185 + 3*t^5.217 + t^5.577 + 4*t^5.608 + t^5.969 - t^4.206/y - t^4.206*y	detail
2295	${}\phi_{1}q_{1}q_{2}$ + ${ }M_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }M_{4}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{2}M_{5}$ + ${ }M_{1}M_{5}$ + ${ }M_{3}M_{4}$ + ${ }M_{3}M_{6}$ + ${ }q_{1}\tilde{q}_{2}$ + ${ }M_{1}X_{1}$ + ${ }\phi_{1}^{2}X_{2}$	0.4548	0.5262	0.8643	[X:[1.7143, 1.4286], M:[0.2857, 0.2857, 1.1429, 0.8571, 1.7143, 0.8571], q:[1.2857, 0.4286], qb:[0.4286, 0.7143], phi:[0.2857]]	2*t^2.571 + 2*t^3.429 + t^4.286 + 3*t^5.143 - t^3.857/y - t^3.857*y	detail	{a: 156/343, c: 361/686, X1: 12/7, X2: 10/7, M1: 2/7, M2: 2/7, M3: 8/7, M4: 6/7, M5: 12/7, M6: 6/7, q1: 9/7, q2: 3/7, qb1: 3/7, qb2: 5/7, phi1: 2/7}

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
772	SU2adj1nf2	${}\phi_{1}q_{1}q_{2}$ + ${ }M_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }M_{4}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{2}M_{5}$ + ${ }M_{1}M_{5}$ + ${ }M_{3}M_{4}$	0.5822	0.7285	0.7991	[M:[0.6846, 0.6846, 1.0631, 0.9369, 1.3154], q:[0.9866, 0.608], qb:[0.3289, 0.455], phi:[0.4054]]	t^2.054 + t^2.352 + t^2.432 + t^2.811 + 2*t^3.189 + t^3.568 + t^3.946 + t^4.107 + t^4.325 + t^4.405 + t^4.486 + t^4.703 + 2*t^4.784 + 2*t^4.864 + t^5.162 + 2*t^5.243 + 2*t^5.541 + 2*t^5.621 + t^5.92 + t^6. - t^4.216/y - t^4.216*y	detail