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
2023	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{2}M_{4}$ + ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{6}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{6}q_{1}\tilde{q}_{1}$	0.6365	0.8356	0.7616	[M:[0.9626, 1.1121, 0.9626, 0.8879, 0.7033, 0.778], q:[0.7407, 0.2967], qb:[0.4813, 0.4065], phi:[0.5187]]	[M:[[4], [-12], [4], [12], [5], [-3]], q:[[1], [-5]], qb:[[2], [10]], phi:[[-2]]]	1

Relevant Operators	Marginal Operators	$n_{marginal}$$-$$|F_{IR}|$	Superconformal Index	Refined index
${}M_{5}$, ${ }q_{2}\tilde{q}_{2}$, ${ }M_{6}$, ${ }q_{2}\tilde{q}_{1}$, ${ }M_{4}$, ${ }M_{1}$, ${ }M_{3}$, ${ }\phi_{1}q_{2}^{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }q_{1}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{5}^{2}$, ${ }M_{5}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{2}^{2}\tilde{q}_{2}^{2}$, ${ }M_{5}M_{6}$, ${ }M_{5}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{6}q_{2}\tilde{q}_{2}$, ${ }q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{6}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }M_{6}q_{2}\tilde{q}_{1}$, ${ }q_{2}^{2}\tilde{q}_{1}^{2}$, ${ }M_{4}M_{5}$, ${ }M_{4}q_{2}\tilde{q}_{2}$, ${ }M_{1}M_{5}$, ${ }M_{3}M_{5}$, ${ }M_{4}M_{6}$, ${ }M_{4}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{3}q_{2}\tilde{q}_{2}$, ${ }M_{1}M_{6}$, ${ }M_{3}M_{6}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{3}q_{2}\tilde{q}_{1}$, ${ }M_{4}^{2}$, ${ }M_{5}\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{2}^{3}\tilde{q}_{2}$, ${ }M_{1}M_{4}$, ${ }M_{3}M_{4}$, ${ }M_{5}q_{1}\tilde{q}_{2}$, ${ }q_{1}q_{2}\tilde{q}_{2}^{2}$, ${ }M_{6}\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{2}^{3}\tilde{q}_{1}$, ${ }M_{1}^{2}$, ${ }M_{1}M_{3}$, ${ }M_{3}^{2}$, ${ }M_{5}q_{1}\tilde{q}_{1}$, ${ }M_{6}q_{1}\tilde{q}_{2}$, ${ }q_{1}q_{2}\tilde{q}_{1}\tilde{q}_{2}$	${}M_{4}\phi_{1}q_{2}^{2}$, ${ }q_{1}q_{2}\tilde{q}_{1}^{2}$	-1	2*t^2.11 + 2*t^2.334 + t^2.664 + 2*t^2.888 + t^3.336 + t^3.442 + t^3.666 + t^3.995 + 4*t^4.22 + 5*t^4.444 + 3*t^4.668 + 2*t^4.773 + 6*t^4.998 + 4*t^5.222 + t^5.327 + t^5.446 + 4*t^5.551 + t^5.671 + 5*t^5.776 - t^6. + 3*t^6.105 - t^6.224 + 9*t^6.329 + 8*t^6.554 + t^6.659 + t^6.673 + 5*t^6.778 + 6*t^6.883 + 2*t^7.002 + 12*t^7.107 - t^7.227 + 9*t^7.332 + 3*t^7.437 + 3*t^7.556 + 10*t^7.661 - t^7.78 + 11*t^7.886 + 2*t^7.991 + t^8.005 + 8*t^8.215 - 8*t^8.334 + 18*t^8.439 - 4*t^8.558 + 14*t^8.664 + 3*t^8.769 + t^8.783 - t^8.888 + 13*t^8.993 - t^4.556/y - t^6.666/y - t^6.89/y + t^7.22/y + (3*t^7.444)/y + (2*t^7.668)/y + (2*t^7.773)/y + (6*t^7.998)/y + (5*t^8.222)/y + (3*t^8.446)/y + (4*t^8.551)/y + (2*t^8.671)/y + (4*t^8.776)/y - t^4.556*y - t^6.666*y - t^6.89*y + t^7.22*y + 3*t^7.444*y + 2*t^7.668*y + 2*t^7.773*y + 6*t^7.998*y + 5*t^8.222*y + 3*t^8.446*y + 4*t^8.551*y + 2*t^8.671*y + 4*t^8.776*y	2*g1^5*t^2.11 + (2*t^2.334)/g1^3 + g1^12*t^2.664 + 2*g1^4*t^2.888 + t^3.336/g1^12 + g1^11*t^3.442 + g1^3*t^3.666 + g1^18*t^3.995 + 4*g1^10*t^4.22 + 5*g1^2*t^4.444 + (3*t^4.668)/g1^6 + 2*g1^17*t^4.773 + 6*g1^9*t^4.998 + 4*g1*t^5.222 + g1^24*t^5.327 + t^5.446/g1^7 + 4*g1^16*t^5.551 + t^5.671/g1^15 + 5*g1^8*t^5.776 - t^6. + 3*g1^23*t^6.105 - t^6.224/g1^8 + 9*g1^15*t^6.329 + 8*g1^7*t^6.554 + g1^30*t^6.659 + t^6.673/g1^24 + (5*t^6.778)/g1 + 6*g1^22*t^6.883 + (2*t^7.002)/g1^9 + 12*g1^14*t^7.107 - t^7.227/g1^17 + 9*g1^6*t^7.332 + 3*g1^29*t^7.437 + (3*t^7.556)/g1^2 + 10*g1^21*t^7.661 - t^7.78/g1^10 + 11*g1^13*t^7.886 + 2*g1^36*t^7.991 + t^8.005/g1^18 + 8*g1^28*t^8.215 - (8*t^8.334)/g1^3 + 18*g1^20*t^8.439 - (4*t^8.558)/g1^11 + 14*g1^12*t^8.664 + 3*g1^35*t^8.769 + t^8.783/g1^19 - g1^4*t^8.888 + 13*g1^27*t^8.993 - t^4.556/(g1^2*y) - (g1^3*t^6.666)/y - t^6.89/(g1^5*y) + (g1^10*t^7.22)/y + (3*g1^2*t^7.444)/y + (2*t^7.668)/(g1^6*y) + (2*g1^17*t^7.773)/y + (6*g1^9*t^7.998)/y + (5*g1*t^8.222)/y + (3*t^8.446)/(g1^7*y) + (4*g1^16*t^8.551)/y + (2*t^8.671)/(g1^15*y) + (4*g1^8*t^8.776)/y - (t^4.556*y)/g1^2 - g1^3*t^6.666*y - (t^6.89*y)/g1^5 + g1^10*t^7.22*y + 3*g1^2*t^7.444*y + (2*t^7.668*y)/g1^6 + 2*g1^17*t^7.773*y + 6*g1^9*t^7.998*y + 5*g1*t^8.222*y + (3*t^8.446*y)/g1^7 + 4*g1^16*t^8.551*y + (2*t^8.671*y)/g1^15 + 4*g1^8*t^8.776*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
3084	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{2}M_{4}$ + ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{6}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{6}q_{1}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$	0.5588	0.7279	0.7677	[M:[1.0588, 0.8235, 1.0588, 1.1765, 0.8235, 0.7059], q:[0.7647, 0.1765], qb:[0.5294, 0.6471], phi:[0.4706]]	2*t^2.118 + 3*t^2.471 + 2*t^3.176 + t^3.529 + t^3.882 + 4*t^4.235 + 6*t^4.588 + 6*t^4.941 + 5*t^5.294 + 5*t^5.647 - t^4.412/y - t^4.412*y	detail	{a: 21963/39304, c: 14305/19652, M1: 18/17, M2: 14/17, M3: 18/17, M4: 20/17, M5: 14/17, M6: 12/17, q1: 13/17, q2: 3/17, qb1: 9/17, qb2: 11/17, phi1: 8/17}
3087	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{2}M_{4}$ + ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{6}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{6}q_{1}\tilde{q}_{1}$ + ${ }M_{7}q_{1}\tilde{q}_{1}$	0.6542	0.8667	0.7548	[M:[0.9647, 1.1058, 0.9647, 0.8942, 0.7059, 0.7765, 0.7765], q:[0.7412, 0.2941], qb:[0.4824, 0.4118], phi:[0.5176]]	2*t^2.118 + 3*t^2.329 + t^2.682 + 2*t^2.894 + t^3.318 + t^3.459 + t^4.024 + 4*t^4.235 + 7*t^4.447 + 6*t^4.659 + 2*t^4.8 + 7*t^5.012 + 6*t^5.224 + t^5.365 + t^5.435 + 4*t^5.577 + 2*t^5.647 + 4*t^5.788 - 3*t^6. - t^4.553/y - t^4.553*y	detail
3086	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{2}M_{4}$ + ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{6}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{6}q_{1}\tilde{q}_{1}$ + ${ }M_{7}q_{1}\tilde{q}_{2}$	0.6504	0.8574	0.7586	[M:[0.9729, 1.0814, 0.9729, 0.9186, 0.7161, 0.7703, 0.8246], q:[0.7432, 0.2839], qb:[0.4864, 0.4322], phi:[0.5136]]	2*t^2.148 + 2*t^2.311 + t^2.474 + t^2.756 + 2*t^2.919 + t^3.244 + t^3.689 + t^4.134 + 4*t^4.297 + 5*t^4.459 + 5*t^4.622 + 2*t^4.785 + 2*t^4.904 + t^4.948 + 6*t^5.067 + 5*t^5.23 + 3*t^5.392 + t^5.512 + t^5.555 + 2*t^5.674 + t^5.718 + 3*t^5.837 - t^6. - t^4.541/y - t^4.541*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
856	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{2}M_{4}$ + ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{6}\phi_{1}q_{2}\tilde{q}_{2}$	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