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
2387	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{5}q_{2}\tilde{q}_{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{6}$ + ${ }M_{3}M_{5}$ + ${ }M_{7}q_{1}\tilde{q}_{2}$ + ${ }M_{6}M_{8}$	0.7145	0.883	0.8091	[M:[0.8676, 1.0507, 1.031, 0.9296, 0.969, 1.0704, 0.8281, 0.9296], q:[0.6366, 0.4958], qb:[0.4338, 0.5352], phi:[0.4746]]	[M:[[8, 0], [-2, 2], [-4, -4], [0, -8], [4, 4], [0, 8], [4, -12], [0, -8]], q:[[-4, 8], [-4, -8]], qb:[[4, 0], [0, 4]], phi:[[1, -1]]]	2

Relevant Operators	Marginal Operators	$n_{marginal}$$-$$|F_{IR}|$	Superconformal Index	Refined index
${}M_{7}$, ${ }M_{1}$, ${ }M_{4}$, ${ }M_{8}$, ${ }M_{5}$, ${ }M_{3}$, ${ }M_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{7}^{2}$, ${ }M_{1}M_{7}$, ${ }M_{1}^{2}$, ${ }\phi_{1}q_{1}^{2}$, ${ }M_{4}M_{7}$, ${ }M_{7}M_{8}$, ${ }M_{1}M_{4}$, ${ }M_{5}M_{7}$, ${ }M_{1}M_{8}$, ${ }M_{1}M_{5}$, ${ }M_{4}^{2}$, ${ }M_{3}M_{7}$, ${ }M_{4}M_{8}$, ${ }M_{8}^{2}$, ${ }M_{2}M_{7}$, ${ }M_{1}M_{3}$, ${ }M_{4}M_{5}$, ${ }M_{5}M_{8}$, ${ }M_{1}M_{2}$, ${ }M_{3}M_{4}$, ${ }M_{3}M_{8}$, ${ }M_{2}M_{4}$, ${ }M_{2}M_{8}$	${}$	-3	t^2.484 + t^2.603 + 2*t^2.789 + t^2.907 + t^3.093 + t^3.152 + t^4.027 + t^4.213 + t^4.331 + t^4.398 + t^4.517 + 2*t^4.635 + t^4.821 + t^4.94 + t^4.969 + t^5.087 + t^5.206 + t^5.244 + 2*t^5.273 + 2*t^5.391 + t^5.51 + 3*t^5.577 + t^5.637 + t^5.696 + t^5.755 + t^5.882 + 2*t^5.941 - 3*t^6. + t^6.059 - t^6.118 + t^6.245 - 2*t^6.304 - t^6.423 + t^6.511 - t^6.609 + t^6.63 + t^6.697 + 3*t^6.815 + t^6.883 + 2*t^6.934 + 3*t^7.001 + 4*t^7.12 + 2*t^7.187 + 2*t^7.238 + 3*t^7.306 + 3*t^7.424 + t^7.453 + t^7.491 + t^7.542 + t^7.572 + t^7.61 + t^7.69 + t^7.728 + 2*t^7.758 + t^7.808 + 2*t^7.876 + 2*t^7.994 + t^8.053 + 3*t^8.062 + t^8.113 + t^8.121 + 2*t^8.18 + 2*t^8.239 + 2*t^8.358 + 3*t^8.366 + 3*t^8.425 - 3*t^8.484 + 3*t^8.544 - 5*t^8.603 + t^8.611 + 3*t^8.662 - t^8.721 + 4*t^8.729 - 8*t^8.789 + t^8.797 + 3*t^8.848 - 7*t^8.907 + t^8.915 + 2*t^8.966 - t^8.975 + t^8.996 - t^4.424/y - t^6.908/y - t^7.027/y - t^7.213/y + t^7.635/y + t^7.821/y + t^7.94/y + t^8.087/y + (2*t^8.273)/y + (3*t^8.391)/y + t^8.51/y + (2*t^8.577)/y + t^8.637/y + (3*t^8.696)/y + t^8.755/y + (2*t^8.882)/y + (2*t^8.941)/y - t^4.424*y - t^6.908*y - t^7.027*y - t^7.213*y + t^7.635*y + t^7.821*y + t^7.94*y + t^8.087*y + 2*t^8.273*y + 3*t^8.391*y + t^8.51*y + 2*t^8.577*y + t^8.637*y + 3*t^8.696*y + t^8.755*y + 2*t^8.882*y + 2*t^8.941*y	(g1^4*t^2.484)/g2^12 + g1^8*t^2.603 + (2*t^2.789)/g2^8 + g1^4*g2^4*t^2.907 + t^3.093/(g1^4*g2^4) + (g2^2*t^3.152)/g1^2 + (g1^9*t^4.027)/g2 + (g1*t^4.213)/g2^9 + g1^5*g2^3*t^4.331 + t^4.398/(g1^7*g2^17) + t^4.517/(g1^3*g2^5) + 2*g1*g2^7*t^4.635 + t^4.821/(g1^7*g2) + (g2^11*t^4.94)/g1^3 + (g1^8*t^4.969)/g2^24 + (g1^12*t^5.087)/g2^12 + g1^16*t^5.206 + (g2^15*t^5.244)/g1^7 + (2*g1^4*t^5.273)/g2^20 + (2*g1^8*t^5.391)/g2^8 + g1^12*g2^4*t^5.51 + (3*t^5.577)/g2^16 + (g1^2*t^5.637)/g2^10 + (g1^4*t^5.696)/g2^4 + g1^6*g2^2*t^5.755 + t^5.882/(g1^4*g2^12) + (2*t^5.941)/(g1^2*g2^6) - 3*t^6. + g1^2*g2^6*t^6.059 - g1^4*g2^12*t^6.118 + t^6.245/(g1^6*g2^2) - (2*g2^4*t^6.304)/g1^4 - g2^16*t^6.423 + (g1^13*t^6.511)/g2^13 - (g2^8*t^6.609)/g1^8 + (g1^17*t^6.63)/g2 + (g1^5*t^6.697)/g2^21 + (3*g1^9*t^6.815)/g2^9 + t^6.883/(g1^3*g2^29) + 2*g1^13*g2^3*t^6.934 + (3*g1*t^7.001)/g2^17 + (4*g1^5*t^7.12)/g2^5 + (2*t^7.187)/(g1^7*g2^25) + 2*g1^9*g2^7*t^7.238 + (3*t^7.306)/(g1^3*g2^13) + (3*g1*t^7.424)/g2 + (g1^12*t^7.453)/g2^36 + t^7.491/(g1^11*g2^21) + g1^5*g2^11*t^7.542 + (g1^16*t^7.572)/g2^24 + t^7.61/(g1^7*g2^9) + (g1^20*t^7.69)/g2^12 + (g2^3*t^7.728)/g1^3 + (2*g1^8*t^7.758)/g2^32 + g1^24*t^7.808 + (2*g1^12*t^7.876)/g2^20 + (2*g1^16*t^7.994)/g2^8 + (g1^18*t^8.053)/g2^2 + (3*g1^4*t^8.062)/g2^28 + g1^20*g2^4*t^8.113 + (g1^6*t^8.121)/g2^22 + (2*g1^8*t^8.18)/g2^16 + (2*g1^10*t^8.239)/g2^10 + 2*g1^14*g2^2*t^8.358 + (3*t^8.366)/g2^24 + (3*g1^2*t^8.425)/g2^18 - (3*g1^4*t^8.484)/g2^12 + (3*g1^6*t^8.544)/g2^6 - 5*g1^8*t^8.603 + t^8.611/(g1^6*g2^26) + 3*g1^10*g2^6*t^8.662 - g1^12*g2^12*t^8.721 + (4*t^8.729)/(g1^2*g2^14) - (8*t^8.789)/g2^8 + t^8.797/(g1^14*g2^34) + (3*g1^2*t^8.848)/g2^2 - 7*g1^4*g2^4*t^8.907 + t^8.915/(g1^10*g2^22) + 2*g1^6*g2^10*t^8.966 - t^8.975/(g1^8*g2^16) + (g1^17*t^8.996)/g2^25 - (g1*t^4.424)/(g2*y) - (g1^5*t^6.908)/(g2^13*y) - (g1^9*t^7.027)/(g2*y) - (g1*t^7.213)/(g2^9*y) + (g1*g2^7*t^7.635)/y + t^7.821/(g1^7*g2*y) + (g2^11*t^7.94)/(g1^3*y) + (g1^12*t^8.087)/(g2^12*y) + (2*g1^4*t^8.273)/(g2^20*y) + (3*g1^8*t^8.391)/(g2^8*y) + (g1^12*g2^4*t^8.51)/y + (2*t^8.577)/(g2^16*y) + (g1^2*t^8.637)/(g2^10*y) + (3*g1^4*t^8.696)/(g2^4*y) + (g1^6*g2^2*t^8.755)/y + (2*t^8.882)/(g1^4*g2^12*y) + (2*t^8.941)/(g1^2*g2^6*y) - (g1*t^4.424*y)/g2 - (g1^5*t^6.908*y)/g2^13 - (g1^9*t^7.027*y)/g2 - (g1*t^7.213*y)/g2^9 + g1*g2^7*t^7.635*y + (t^7.821*y)/(g1^7*g2) + (g2^11*t^7.94*y)/g1^3 + (g1^12*t^8.087*y)/g2^12 + (2*g1^4*t^8.273*y)/g2^20 + (3*g1^8*t^8.391*y)/g2^8 + g1^12*g2^4*t^8.51*y + (2*t^8.577*y)/g2^16 + (g1^2*t^8.637*y)/g2^10 + (3*g1^4*t^8.696*y)/g2^4 + g1^6*g2^2*t^8.755*y + (2*t^8.882*y)/(g1^4*g2^12) + (2*t^8.941*y)/(g1^2*g2^6)

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
4407	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{5}q_{2}\tilde{q}_{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{6}$ + ${ }M_{3}M_{5}$ + ${ }M_{7}q_{1}\tilde{q}_{2}$ + ${ }M_{6}M_{8}$ + ${ }\phi_{1}q_{2}^{2}$	0.6364	0.7932	0.8023	[M:[0.6974, 1.048, 1.2067, 1.1107, 0.7933, 0.8893, 1.0147, 1.1107], q:[0.5406, 0.762], qb:[0.3487, 0.4447], phi:[0.476]]	t^2.092 + t^2.38 + t^3.044 + t^3.144 + 2*t^3.332 + t^3.52 + t^3.62 + t^3.808 + 2*t^4.096 + t^4.184 + t^4.384 + t^4.472 + t^4.672 + t^4.76 + t^5.136 + t^5.236 + 2*t^5.424 + t^5.524 + t^5.612 + t^5.712 + 2*t^5.9 - 2*t^6. - t^4.428/y - t^4.428*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
1333	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{5}q_{2}\tilde{q}_{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{6}$ + ${ }M_{3}M_{5}$ + ${ }M_{7}q_{1}\tilde{q}_{2}$	0.709	0.8723	0.8128	[M:[0.8671, 1.0452, 1.0426, 0.9522, 0.9574, 1.0478, 0.8619], q:[0.6142, 0.5187], qb:[0.4336, 0.5239], phi:[0.4774]]	t^2.586 + t^2.601 + t^2.857 + t^2.872 + t^3.128 + t^3.135 + t^3.143 + t^4.034 + t^4.289 + t^4.305 + t^4.544 + t^4.56 + 2*t^4.576 + t^4.831 + t^4.846 + t^5.117 + t^5.172 + t^5.187 + t^5.203 + t^5.442 + t^5.458 + t^5.474 + t^5.713 + t^5.721 + t^5.729 + t^5.737 + t^5.745 + t^5.992 - 2*t^6. - t^4.432/y - t^4.432*y	detail