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
2396	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{2}M_{4}$ + ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{6}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{7}q_{1}\tilde{q}_{2}$	0.6488	0.8541	0.7596	[M:[0.9712, 1.0864, 1.0288, 0.9136, 0.7428, 0.7428, 0.8004], q:[0.7428, 0.286], qb:[0.4568, 0.4568], phi:[0.5144]]	[M:[[4], [-12], [-4], [12], [1], [1], [-7]], q:[[1], [-5]], qb:[[6], [6]], phi:[[-2]]]	1

Relevant Operators	Marginal Operators	$n_{marginal}$$-$$|F_{IR}|$	Superconformal Index	Refined index
${}M_{5}$, ${ }M_{6}$, ${ }q_{2}\tilde{q}_{1}$, ${ }q_{2}\tilde{q}_{2}$, ${ }M_{7}$, ${ }M_{4}$, ${ }M_{3}$, ${ }\phi_{1}^{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }q_{1}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{5}^{2}$, ${ }M_{5}M_{6}$, ${ }M_{6}^{2}$, ${ }M_{5}q_{2}\tilde{q}_{1}$, ${ }M_{6}q_{2}\tilde{q}_{1}$, ${ }q_{2}^{2}\tilde{q}_{1}^{2}$, ${ }M_{5}q_{2}\tilde{q}_{2}$, ${ }M_{6}q_{2}\tilde{q}_{2}$, ${ }q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{2}^{2}\tilde{q}_{2}^{2}$, ${ }M_{5}M_{7}$, ${ }M_{6}M_{7}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }M_{7}q_{2}\tilde{q}_{1}$, ${ }M_{7}q_{2}\tilde{q}_{2}$, ${ }M_{7}^{2}$, ${ }M_{4}M_{5}$, ${ }M_{4}M_{6}$, ${ }M_{4}q_{2}\tilde{q}_{1}$, ${ }M_{4}q_{2}\tilde{q}_{2}$, ${ }M_{4}M_{7}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{3}M_{5}$, ${ }M_{3}M_{6}$, ${ }M_{5}\phi_{1}^{2}$, ${ }M_{6}\phi_{1}^{2}$, ${ }M_{3}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$, ${ }M_{3}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$, ${ }M_{4}^{2}$, ${ }M_{3}M_{7}$, ${ }M_{7}\phi_{1}^{2}$, ${ }M_{5}\phi_{1}q_{2}^{2}$, ${ }M_{6}\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{2}^{3}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}^{3}\tilde{q}_{2}$, ${ }M_{7}\phi_{1}q_{2}^{2}$, ${ }M_{3}M_{4}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{5}q_{1}\tilde{q}_{1}$, ${ }M_{6}q_{1}\tilde{q}_{1}$, ${ }q_{1}q_{2}\tilde{q}_{1}^{2}$	${}M_{4}\phi_{1}q_{2}^{2}$, ${ }M_{7}q_{1}\tilde{q}_{1}$	-4	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^6.173 + t^6.339 + 2*t^6.346 + 8*t^6.512 + t^6.519 + 21*t^6.685 + 7*t^6.858 + 3*t^7.025 + 2*t^7.031 + 8*t^7.197 + t^7.204 + 5*t^7.37 + 16*t^7.543 + 4*t^7.71 + 10*t^7.716 + 2*t^7.883 + 4*t^7.889 + 8*t^8.055 + t^8.062 + t^8.222 - 17*t^8.228 + 10*t^8.568 + 5*t^8.574 + 10*t^8.741 + 4*t^8.747 + 35*t^8.914 + t^8.92 - t^4.543/y - (2*t^6.772)/y - t^6.945/y + (7*t^7.457)/y + (3*t^7.63)/y + (4*t^7.969)/y + (2*t^8.142)/y + (10*t^8.315)/y + (6*t^8.488)/y + t^8.661/y + (6*t^8.827)/y - t^4.543*y - 2*t^6.772*y - t^6.945*y + 7*t^7.457*y + 3*t^7.63*y + 4*t^7.969*y + 2*t^8.142*y + 10*t^8.315*y + 6*t^8.488*y + t^8.661*y + 6*t^8.827*y	4*g1*t^2.228 + t^2.401/g1^7 + g1^12*t^2.741 + (2*t^3.086)/g1^4 + t^3.259/g1^12 + g1^7*t^3.599 + 3*g1^10*t^4.284 + 10*g1^2*t^4.457 + (4*t^4.63)/g1^6 + t^4.803/g1^14 + 4*g1^13*t^4.969 + g1^5*t^5.142 + (8*t^5.315)/g1^3 + g1^24*t^5.481 + (4*t^5.488)/g1^11 + t^5.661/g1^19 + 5*g1^8*t^5.827 - 4*t^6. + t^6.173/g1^8 + g1^19*t^6.339 + (2*t^6.346)/g1^16 + 8*g1^11*t^6.512 + t^6.519/g1^24 + 21*g1^3*t^6.685 + (7*t^6.858)/g1^5 + 3*g1^22*t^7.025 + (2*t^7.031)/g1^13 + 8*g1^14*t^7.197 + t^7.204/g1^21 + 5*g1^6*t^7.37 + (16*t^7.543)/g1^2 + 4*g1^25*t^7.71 + (10*t^7.716)/g1^10 + 2*g1^17*t^7.883 + (4*t^7.889)/g1^18 + 8*g1^9*t^8.055 + t^8.062/g1^26 + g1^36*t^8.222 - 17*g1*t^8.228 + 10*g1^20*t^8.568 + (5*t^8.574)/g1^15 + 10*g1^12*t^8.741 + (4*t^8.747)/g1^23 + 35*g1^4*t^8.914 + t^8.92/g1^31 - t^4.543/(g1^2*y) - (2*t^6.772)/(g1*y) - t^6.945/(g1^9*y) + (7*g1^2*t^7.457)/y + (3*t^7.63)/(g1^6*y) + (4*g1^13*t^7.969)/y + (2*g1^5*t^8.142)/y + (10*t^8.315)/(g1^3*y) + (6*t^8.488)/(g1^11*y) + t^8.661/(g1^19*y) + (6*g1^8*t^8.827)/y - (t^4.543*y)/g1^2 - (2*t^6.772*y)/g1 - (t^6.945*y)/g1^9 + 7*g1^2*t^7.457*y + (3*t^7.63*y)/g1^6 + 4*g1^13*t^7.969*y + 2*g1^5*t^8.142*y + (10*t^8.315*y)/g1^3 + (6*t^8.488*y)/g1^11 + (t^8.661*y)/g1^19 + 6*g1^8*t^8.827*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
4434	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{2}M_{4}$ + ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{6}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{7}q_{1}\tilde{q}_{2}$ + ${ }M_{7}\phi_{1}q_{2}^{2}$	0.6448	0.8521	0.7568	[M:[0.9474, 1.1579, 1.0526, 0.8421, 0.7368, 0.7368, 0.8421], q:[0.7368, 0.3158], qb:[0.4211, 0.4211], phi:[0.5263]]	4*t^2.211 + 2*t^2.526 + 2*t^3.158 + 2*t^3.474 + 3*t^4.105 + 10*t^4.421 + 8*t^4.737 + 3*t^5.053 + 8*t^5.368 + 9*t^5.684 - 2*t^6. - t^4.579/y - t^4.579*y	detail	{a: 70767/109744, c: 46755/54872, M1: 18/19, M2: 22/19, M3: 20/19, M4: 16/19, M5: 14/19, M6: 14/19, M7: 16/19, q1: 14/19, q2: 6/19, qb1: 8/19, qb2: 8/19, phi1: 10/19}
4435	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{2}M_{4}$ + ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{6}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{7}q_{1}\tilde{q}_{2}$ + ${ }M_{8}\phi_{1}q_{2}^{2}$	0.6589	0.8742	0.7538	[M:[0.9543, 1.1371, 1.0457, 0.8629, 0.7386, 0.7386, 0.83, 0.8629], q:[0.7386, 0.3071], qb:[0.4314, 0.4314], phi:[0.5229]]	4*t^2.216 + t^2.49 + 2*t^2.589 + 2*t^3.137 + t^3.51 + 3*t^4.157 + 10*t^4.431 + 4*t^4.706 + 8*t^4.804 + t^4.98 + 2*t^5.079 + 3*t^5.177 + 8*t^5.353 + 7*t^5.726 - 5*t^6. - t^4.569/y - t^4.569*y	detail
4436	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{2}M_{4}$ + ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{6}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{7}q_{1}\tilde{q}_{2}$ + ${ }M_{8}q_{1}\tilde{q}_{1}$	0.6656	0.8837	0.7532	[M:[0.9783, 1.0651, 1.0217, 0.9349, 0.7446, 0.7446, 0.788, 0.788], q:[0.7446, 0.2771], qb:[0.4674, 0.4674], phi:[0.5109]]	4*t^2.234 + 2*t^2.364 + t^2.805 + 2*t^3.065 + t^3.195 + 3*t^4.337 + 10*t^4.467 + 8*t^4.598 + 3*t^4.728 + 4*t^5.038 + 2*t^5.169 + 8*t^5.299 + 6*t^5.429 + 2*t^5.559 + t^5.609 + t^5.87 - 5*t^6. - t^4.533/y - t^4.533*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
1345	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{2}M_{4}$ + ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{6}\phi_{1}q_{2}\tilde{q}_{2}$	0.6327	0.8272	0.7649	[M:[0.963, 1.1111, 1.037, 0.8889, 0.7407, 0.7407], q:[0.7407, 0.2963], qb:[0.4444, 0.4444], phi:[0.5185]]	4*t^2.222 + t^2.667 + 2*t^3.111 + t^3.333 + 2*t^3.556 + 3*t^4.222 + 10*t^4.444 + 4*t^4.889 + 9*t^5.333 + 2*t^5.556 + 9*t^5.778 - 5*t^6. - t^4.556/y - t^4.556*y	detail	{a: 205/324, c: 67/81, M1: 26/27, M2: 10/9, M3: 28/27, M4: 8/9, M5: 20/27, M6: 20/27, q1: 20/27, q2: 8/27, qb1: 4/9, qb2: 4/9, phi1: 14/27}