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
46501	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }\phi_{1}q_{2}^{2}\tilde{q}_{2}^{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{1}$	0.6294	0.8187	0.7688	[M:[0.9719, 0.7992, 1.0281, 0.743], q:[0.743, 0.2852], qb:[0.4578, 0.4578], phi:[0.5141]]	[M:[[4], [-7], [-4], [1]], q:[[1], [-5]], qb:[[6], [6]], phi:[[-2]]]	1

Relevant Operators	Marginal Operators	$n_{marginal}$$-$$|F_{IR}|$	Superconformal Index	Refined index
${}M_{4}$, ${ }q_{2}\tilde{q}_{1}$, ${ }q_{2}\tilde{q}_{2}$, ${ }M_{2}$, ${ }\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{3}$, ${ }\phi_{1}^{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{4}^{2}$, ${ }M_{4}q_{2}\tilde{q}_{1}$, ${ }q_{2}^{2}\tilde{q}_{1}^{2}$, ${ }M_{4}q_{2}\tilde{q}_{2}$, ${ }q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{2}^{2}\tilde{q}_{2}^{2}$, ${ }M_{2}M_{4}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }M_{2}q_{2}\tilde{q}_{1}$, ${ }M_{2}q_{2}\tilde{q}_{2}$, ${ }M_{2}^{2}$, ${ }M_{4}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{2}\tilde{q}_{1}^{2}\tilde{q}_{2}$, ${ }q_{2}\tilde{q}_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{3}M_{4}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{3}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$, ${ }M_{3}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$, ${ }M_{2}M_{3}$, ${ }M_{2}\phi_{1}^{2}$, ${ }M_{4}\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{2}^{3}\tilde{q}_{1}$, ${ }\tilde{q}_{1}^{2}\tilde{q}_{2}^{2}$, ${ }M_{2}\phi_{1}q_{2}^{2}$, ${ }M_{4}q_{1}\tilde{q}_{2}$, ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{1}q_{2}\tilde{q}_{2}^{2}$	${}M_{4}\phi_{1}q_{2}\tilde{q}_{2}$	-1	3*t^2.229 + t^2.398 + t^2.747 + 2*t^3.084 + t^3.253 + t^3.602 + t^3.771 + 3*t^4.289 + 6*t^4.458 + 3*t^4.627 + t^4.795 + 3*t^4.976 + t^5.145 + 6*t^5.313 + 3*t^5.482 + t^5.494 + t^5.651 + 4*t^5.831 - t^6. + 2*t^6.169 + 2*t^6.338 + t^6.349 + t^6.506 + 6*t^6.518 + 11*t^6.687 + 5*t^6.855 + 2*t^7.024 + 3*t^7.036 + t^7.193 + 4*t^7.205 + 5*t^7.373 + 9*t^7.542 + 6*t^7.711 + 3*t^7.723 + 3*t^7.88 + 2*t^7.891 + t^8.048 + 6*t^8.06 - 7*t^8.229 + t^8.241 + 2*t^8.398 + 4*t^8.566 + 9*t^8.578 + 3*t^8.735 + 5*t^8.747 + t^8.904 + 15*t^8.916 - t^4.542/y - t^6.771/y - t^6.94/y + (4*t^7.458)/y + (2*t^7.627)/y + (3*t^7.976)/y + (2*t^8.145)/y + (7*t^8.313)/y + (5*t^8.482)/y + t^8.651/y + (5*t^8.831)/y - t^4.542*y - t^6.771*y - t^6.94*y + 4*t^7.458*y + 2*t^7.627*y + 3*t^7.976*y + 2*t^8.145*y + 7*t^8.313*y + 5*t^8.482*y + t^8.651*y + 5*t^8.831*y	3*g1*t^2.229 + t^2.398/g1^7 + g1^12*t^2.747 + (2*t^3.084)/g1^4 + t^3.253/g1^12 + g1^7*t^3.602 + t^3.771/g1 + 3*g1^10*t^4.289 + 6*g1^2*t^4.458 + (3*t^4.627)/g1^6 + t^4.795/g1^14 + 3*g1^13*t^4.976 + g1^5*t^5.145 + (6*t^5.313)/g1^3 + (3*t^5.482)/g1^11 + g1^24*t^5.494 + t^5.651/g1^19 + 4*g1^8*t^5.831 - t^6. + (2*t^6.169)/g1^8 + (2*t^6.338)/g1^16 + g1^19*t^6.349 + t^6.506/g1^24 + 6*g1^11*t^6.518 + 11*g1^3*t^6.687 + (5*t^6.855)/g1^5 + (2*t^7.024)/g1^13 + 3*g1^22*t^7.036 + t^7.193/g1^21 + 4*g1^14*t^7.205 + 5*g1^6*t^7.373 + (9*t^7.542)/g1^2 + (6*t^7.711)/g1^10 + 3*g1^25*t^7.723 + (3*t^7.88)/g1^18 + 2*g1^17*t^7.891 + t^8.048/g1^26 + 6*g1^9*t^8.06 - 7*g1*t^8.229 + g1^36*t^8.241 + (2*t^8.398)/g1^7 + (4*t^8.566)/g1^15 + 9*g1^20*t^8.578 + (3*t^8.735)/g1^23 + 5*g1^12*t^8.747 + t^8.904/g1^31 + 15*g1^4*t^8.916 - t^4.542/(g1^2*y) - t^6.771/(g1*y) - t^6.94/(g1^9*y) + (4*g1^2*t^7.458)/y + (2*t^7.627)/(g1^6*y) + (3*g1^13*t^7.976)/y + (2*g1^5*t^8.145)/y + (7*t^8.313)/(g1^3*y) + (5*t^8.482)/(g1^11*y) + t^8.651/(g1^19*y) + (5*g1^8*t^8.831)/y - (t^4.542*y)/g1^2 - (t^6.771*y)/g1 - (t^6.94*y)/g1^9 + 4*g1^2*t^7.458*y + (2*t^7.627*y)/g1^6 + 3*g1^13*t^7.976*y + 2*g1^5*t^8.145*y + (7*t^8.313*y)/g1^3 + (5*t^8.482*y)/g1^11 + (t^8.651*y)/g1^19 + 5*g1^8*t^8.831*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
47032	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }\phi_{1}q_{2}^{2}\tilde{q}_{2}^{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}q_{2}^{2}$	0.6253	0.8161	0.7662	[M:[0.9474, 0.8421, 1.0526, 0.7368], q:[0.7368, 0.3158], qb:[0.4211, 0.4211], phi:[0.5263]]	3*t^2.211 + 2*t^2.526 + 2*t^3.158 + 2*t^3.474 + t^3.789 + 3*t^4.105 + 6*t^4.421 + 6*t^4.737 + 3*t^5.053 + 6*t^5.368 + 7*t^5.684 + t^6. - t^4.579/y - t^4.579*y	detail	{a: 34311/54872, c: 11195/13718, M1: 18/19, M2: 16/19, M3: 20/19, M4: 14/19, q1: 14/19, q2: 6/19, qb1: 8/19, qb2: 8/19, phi1: 10/19}
47284	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }\phi_{1}q_{2}^{2}\tilde{q}_{2}^{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{2}$	0.6488	0.8541	0.7596	[M:[0.9712, 0.8004, 1.0288, 0.7428, 0.7428], q:[0.7428, 0.286], qb:[0.4568, 0.4568], phi:[0.5144]]	4*t^2.228 + t^2.401 + t^2.741 + 2*t^3.086 + t^3.259 + t^3.599 + 3*t^4.284 + 10*t^4.457 + 4*t^4.63 + t^4.803 + 4*t^4.969 + t^5.142 + 8*t^5.315 + t^5.481 + 4*t^5.488 + t^5.661 + 5*t^5.827 - 4*t^6. - t^4.543/y - t^4.543*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
46126	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }\phi_{1}q_{2}^{2}\tilde{q}_{2}^{2}$ + ${ }M_{1}M_{3}$	0.6101	0.7833	0.7789	[M:[0.9726, 0.798, 1.0274], q:[0.7431, 0.2843], qb:[0.4589, 0.4589], phi:[0.5137]]	2*t^2.229 + t^2.394 + t^2.753 + 2*t^3.082 + t^3.247 + t^3.606 + 2*t^3.771 + 3*t^4.294 + 3*t^4.459 + 2*t^4.623 + t^4.788 + 2*t^4.983 + t^5.147 + 4*t^5.312 + 2*t^5.476 + t^5.506 + t^5.641 + 3*t^5.835 - t^4.541/y - t^4.541*y	detail