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
2407	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{2}M_{4}$ + ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{6}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{7}q_{1}\tilde{q}_{1}$	0.6554	0.8671	0.7559	[M:[0.9578, 1.1265, 0.9578, 0.8735, 0.7395, 0.7395, 0.8238], q:[0.7395, 0.3027], qb:[0.4367, 0.4367], phi:[0.5211]]	[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
${}M_{5}$, ${ }M_{6}$, ${ }q_{2}\tilde{q}_{1}$, ${ }q_{2}\tilde{q}_{2}$, ${ }M_{7}$, ${ }M_{4}$, ${ }M_{1}$, ${ }M_{3}$, ${ }\phi_{1}q_{2}^{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{5}^{2}$, ${ }M_{5}M_{6}$, ${ }M_{6}^{2}$, ${ }M_{5}q_{2}\tilde{q}_{1}$, ${ }M_{6}q_{2}\tilde{q}_{1}$, ${ }q_{2}^{2}\tilde{q}_{1}^{2}$, ${ }M_{5}q_{2}\tilde{q}_{2}$, ${ }M_{6}q_{2}\tilde{q}_{2}$, ${ }q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{2}^{2}\tilde{q}_{2}^{2}$, ${ }M_{5}M_{7}$, ${ }M_{6}M_{7}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }M_{7}q_{2}\tilde{q}_{1}$, ${ }M_{7}q_{2}\tilde{q}_{2}$, ${ }M_{4}M_{5}$, ${ }M_{4}M_{6}$, ${ }M_{4}q_{2}\tilde{q}_{1}$, ${ }M_{4}q_{2}\tilde{q}_{2}$, ${ }M_{7}^{2}$, ${ }M_{1}M_{5}$, ${ }M_{3}M_{5}$, ${ }M_{1}M_{6}$, ${ }M_{3}M_{6}$, ${ }M_{4}M_{7}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{3}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{3}q_{2}\tilde{q}_{2}$, ${ }M_{4}^{2}$, ${ }M_{1}M_{7}$, ${ }M_{3}M_{7}$, ${ }M_{1}M_{4}$, ${ }M_{3}M_{4}$, ${ }M_{5}\phi_{1}q_{2}^{2}$, ${ }M_{6}\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{2}^{3}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}^{3}\tilde{q}_{2}$, ${ }M_{1}^{2}$, ${ }M_{1}M_{3}$, ${ }M_{3}^{2}$, ${ }M_{5}q_{1}\tilde{q}_{2}$, ${ }M_{6}q_{1}\tilde{q}_{2}$, ${ }q_{1}q_{2}\tilde{q}_{2}^{2}$, ${ }M_{7}\phi_{1}q_{2}^{2}$	${}M_{4}\phi_{1}q_{2}^{2}$, ${ }M_{7}q_{1}\tilde{q}_{2}$	-4	4*t^2.218 + t^2.471 + t^2.62 + 2*t^2.873 + t^3.38 + t^3.529 + 3*t^4.184 + 10*t^4.437 + 4*t^4.69 + 4*t^4.839 + t^4.943 + 9*t^5.092 + t^5.241 + 2*t^5.345 + 2*t^5.494 + 2*t^5.598 + 6*t^5.747 + t^5.851 - 4*t^6. + t^6.149 + 10*t^6.402 + 19*t^6.655 + t^6.759 + 3*t^6.804 + 7*t^6.908 + 14*t^7.057 + 2*t^7.161 + 19*t^7.31 + t^7.414 + 4*t^7.459 + 4*t^7.563 + 10*t^7.712 + 4*t^7.816 + t^7.861 + 14*t^7.965 + 2*t^8.069 + 2*t^8.114 - 16*t^8.218 + t^8.322 + 11*t^8.367 - 8*t^8.471 + 20*t^8.62 + t^8.77 + 18*t^8.873 + 2*t^8.977 - t^4.563/y - (2*t^6.782)/y - t^7.035/y + (5*t^7.437)/y + (5*t^7.69)/y + (4*t^7.839)/y + (10*t^8.092)/y + (4*t^8.345)/y + (2*t^8.494)/y + (4*t^8.598)/y + (5*t^8.747)/y + t^8.851/y - t^4.563*y - 2*t^6.782*y - t^7.035*y + 5*t^7.437*y + 5*t^7.69*y + 4*t^7.839*y + 10*t^8.092*y + 4*t^8.345*y + 2*t^8.494*y + 4*t^8.598*y + 5*t^8.747*y + t^8.851*y	4*g1*t^2.218 + t^2.471/g1^7 + g1^12*t^2.62 + 2*g1^4*t^2.873 + t^3.38/g1^12 + g1^7*t^3.529 + 3*g1^10*t^4.184 + 10*g1^2*t^4.437 + (4*t^4.69)/g1^6 + 4*g1^13*t^4.839 + t^4.943/g1^14 + 9*g1^5*t^5.092 + g1^24*t^5.241 + (2*t^5.345)/g1^3 + 2*g1^16*t^5.494 + (2*t^5.598)/g1^11 + 6*g1^8*t^5.747 + t^5.851/g1^19 - 4*t^6. + g1^19*t^6.149 + 10*g1^11*t^6.402 + 19*g1^3*t^6.655 + t^6.759/g1^24 + 3*g1^22*t^6.804 + (7*t^6.908)/g1^5 + 14*g1^14*t^7.057 + (2*t^7.161)/g1^13 + 19*g1^6*t^7.31 + t^7.414/g1^21 + 4*g1^25*t^7.459 + (4*t^7.563)/g1^2 + 10*g1^17*t^7.712 + (4*t^7.816)/g1^10 + g1^36*t^7.861 + 14*g1^9*t^7.965 + (2*t^8.069)/g1^18 + 2*g1^28*t^8.114 - 16*g1*t^8.218 + t^8.322/g1^26 + 11*g1^20*t^8.367 - (8*t^8.471)/g1^7 + 20*g1^12*t^8.62 + g1^31*t^8.77 + 18*g1^4*t^8.873 + (2*t^8.977)/g1^23 - t^4.563/(g1^2*y) - (2*t^6.782)/(g1*y) - t^7.035/(g1^9*y) + (5*g1^2*t^7.437)/y + (5*t^7.69)/(g1^6*y) + (4*g1^13*t^7.839)/y + (10*g1^5*t^8.092)/y + (4*t^8.345)/(g1^3*y) + (2*g1^16*t^8.494)/y + (4*t^8.598)/(g1^11*y) + (5*g1^8*t^8.747)/y + t^8.851/(g1^19*y) - (t^4.563*y)/g1^2 - (2*t^6.782*y)/g1 - (t^7.035*y)/g1^9 + 5*g1^2*t^7.437*y + (5*t^7.69*y)/g1^6 + 4*g1^13*t^7.839*y + 10*g1^5*t^8.092*y + (4*t^8.345*y)/g1^3 + 2*g1^16*t^8.494*y + (4*t^8.598*y)/g1^11 + 5*g1^8*t^8.747*y + (t^8.851*y)/g1^19

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
4444	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{2}M_{4}$ + ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{6}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{7}q_{1}\tilde{q}_{1}$ + ${ }M_{7}\phi_{1}q_{2}^{2}$	0.6546	0.8684	0.7538	[M:[0.9474, 1.1579, 0.9474, 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^2.842 + 2*t^3.474 + 3*t^4.105 + 10*t^4.421 + 8*t^4.737 + 11*t^5.053 + 4*t^5.368 + 8*t^5.684 - 2*t^6. - t^4.579/y - t^4.579*y	detail	{a: 71841/109744, c: 47653/54872, M1: 18/19, M2: 22/19, M3: 18/19, 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}
4446	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{2}M_{4}$ + ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{6}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{7}q_{1}\tilde{q}_{1}$ + ${ }M_{8}q_{1}\tilde{q}_{2}$	0.6708	0.8928	0.7514	[M:[0.9658, 1.1027, 0.9658, 0.8973, 0.7414, 0.7414, 0.8099, 0.8099], q:[0.7414, 0.2928], qb:[0.4486, 0.4486], phi:[0.5171]]	4*t^2.224 + 2*t^2.43 + t^2.692 + 2*t^2.897 + t^3.308 + 3*t^4.243 + 10*t^4.449 + 8*t^4.654 + 3*t^4.86 + 4*t^4.916 + 10*t^5.122 + 4*t^5.327 + t^5.384 + 2*t^5.532 + 2*t^5.589 + 2*t^5.738 + 2*t^5.795 - 5*t^6. - t^4.551/y - t^4.551*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
1351	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{2}M_{4}$ + ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{6}\phi_{1}q_{2}\tilde{q}_{2}$	0.6409	0.8444	0.759	[M:[0.9489, 1.1534, 0.9489, 0.8466, 0.7372, 0.7372], q:[0.7372, 0.3139], qb:[0.4233, 0.4233], phi:[0.5256]]	4*t^2.212 + t^2.54 + 2*t^2.847 + t^3.46 + 2*t^3.481 + 3*t^4.116 + 10*t^4.423 + 4*t^4.751 + 8*t^5.058 + t^5.079 + 2*t^5.386 + 2*t^5.672 + 10*t^5.693 - 5*t^6. - t^4.577/y - t^4.577*y	detail