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
3764	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{5}q_{1}\tilde{q}_{1}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{2}M_{6}$ + ${ }M_{7}\phi_{1}\tilde{q}_{2}^{2}$	0.6578	0.878	0.7492	[M:[0.9528, 1.1416, 0.9528, 0.7125, 0.8069, 0.8584, 0.6695], q:[0.7382, 0.309], qb:[0.4549, 0.4034], phi:[0.5236]]	[M:[[-4], [12], [-4], [18], [26], [-12], [-28]], q:[[-1], [5]], qb:[[-25], [13]], phi:[[2]]]	1

Relevant Operators	Marginal Operators	$n_{marginal}$$-$$|F_{IR}|$	Superconformal Index	Refined index
${}M_{7}$, ${ }M_{4}$, ${ }q_{2}\tilde{q}_{2}$, ${ }q_{2}\tilde{q}_{1}$, ${ }M_{5}$, ${ }M_{6}$, ${ }M_{1}$, ${ }M_{3}$, ${ }M_{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{7}^{2}$, ${ }M_{4}M_{7}$, ${ }M_{7}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{4}^{2}$, ${ }M_{4}q_{2}\tilde{q}_{2}$, ${ }q_{2}^{2}\tilde{q}_{2}^{2}$, ${ }M_{7}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{5}M_{7}$, ${ }M_{4}q_{2}\tilde{q}_{1}$, ${ }q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{4}M_{5}$, ${ }M_{5}q_{2}\tilde{q}_{2}$, ${ }M_{6}M_{7}$, ${ }q_{2}^{2}\tilde{q}_{1}^{2}$, ${ }M_{4}M_{6}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }M_{5}q_{2}\tilde{q}_{1}$, ${ }M_{6}q_{2}\tilde{q}_{2}$, ${ }M_{5}^{2}$, ${ }M_{1}M_{7}$, ${ }M_{3}M_{7}$, ${ }M_{6}q_{2}\tilde{q}_{1}$, ${ }M_{1}M_{4}$, ${ }M_{3}M_{4}$, ${ }M_{5}M_{6}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{3}q_{2}\tilde{q}_{2}$, ${ }M_{6}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{3}q_{2}\tilde{q}_{1}$, ${ }M_{1}M_{5}$, ${ }M_{3}M_{5}$, ${ }M_{1}M_{6}$, ${ }M_{3}M_{6}$, ${ }M_{2}M_{7}$, ${ }M_{7}\phi_{1}q_{2}^{2}$, ${ }M_{2}M_{4}$, ${ }M_{4}\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{2}^{3}\tilde{q}_{2}$, ${ }M_{1}^{2}$, ${ }M_{1}M_{3}$, ${ }M_{3}^{2}$, ${ }\phi_{1}q_{2}^{3}\tilde{q}_{1}$, ${ }M_{7}\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{2}M_{5}$, ${ }M_{5}\phi_{1}q_{2}^{2}$, ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}^{2}\tilde{q}_{2}^{2}$	${}M_{6}\phi_{1}q_{2}^{2}$	-1	t^2.009 + 2*t^2.137 + t^2.292 + t^2.421 + t^2.575 + 2*t^2.858 + 2*t^3.425 + t^3.708 + t^4.017 + 3*t^4.146 + 3*t^4.275 + 2*t^4.3 + 3*t^4.429 + 2*t^4.558 + 2*t^4.584 + 3*t^4.712 + t^4.841 + 3*t^4.867 + 5*t^4.996 + 3*t^5.15 + 2*t^5.279 + 4*t^5.433 + 3*t^5.562 + 4*t^5.717 + 3*t^5.846 - t^6. + t^6.026 + t^6.129 + 2*t^6.154 + 6*t^6.283 + 2*t^6.309 + 4*t^6.412 + 4*t^6.438 + 6*t^6.567 + 3*t^6.592 + 3*t^6.695 + 5*t^6.721 + 6*t^6.85 + 5*t^6.875 + 2*t^6.979 + 7*t^7.004 + 9*t^7.133 + 5*t^7.159 + t^7.262 + 5*t^7.288 + 4*t^7.416 + 6*t^7.442 + 7*t^7.571 + 6*t^7.7 + 6*t^7.725 + 8*t^7.854 + 4*t^7.983 + 2*t^8.009 + t^8.034 + 2*t^8.163 + 3*t^8.266 + 4*t^8.292 + 2*t^8.317 + 5*t^8.421 + 4*t^8.446 + 6*t^8.55 + 5*t^8.575 + 4*t^8.601 + 8*t^8.704 + 5*t^8.729 + 4*t^8.833 + 2*t^8.858 + 6*t^8.884 + 9*t^8.987 - t^4.571/y - t^6.579/y - t^6.708/y - t^6.991/y + (2*t^7.146)/y + t^7.275/y + t^7.3/y + (2*t^7.429)/y + (2*t^7.558)/y + t^7.584/y + (4*t^7.712)/y + (3*t^7.867)/y + (5*t^7.996)/y + (3*t^8.15)/y + (2*t^8.279)/y + (5*t^8.433)/y + (5*t^8.562)/y - t^8.588/y + (3*t^8.717)/y + (3*t^8.846)/y - t^4.571*y - t^6.579*y - t^6.708*y - t^6.991*y + 2*t^7.146*y + t^7.275*y + t^7.3*y + 2*t^7.429*y + 2*t^7.558*y + t^7.584*y + 4*t^7.712*y + 3*t^7.867*y + 5*t^7.996*y + 3*t^8.15*y + 2*t^8.279*y + 5*t^8.433*y + 5*t^8.562*y - t^8.588*y + 3*t^8.717*y + 3*t^8.846*y	t^2.009/g1^28 + 2*g1^18*t^2.137 + t^2.292/g1^20 + g1^26*t^2.421 + t^2.575/g1^12 + (2*t^2.858)/g1^4 + 2*g1^12*t^3.425 + g1^20*t^3.708 + t^4.017/g1^56 + (3*t^4.146)/g1^10 + 3*g1^36*t^4.275 + (2*t^4.3)/g1^48 + (3*t^4.429)/g1^2 + 2*g1^44*t^4.558 + (2*t^4.584)/g1^40 + 3*g1^6*t^4.712 + g1^52*t^4.841 + (3*t^4.867)/g1^32 + 5*g1^14*t^4.996 + (3*t^5.15)/g1^24 + 2*g1^22*t^5.279 + (4*t^5.433)/g1^16 + 3*g1^30*t^5.562 + (4*t^5.717)/g1^8 + 3*g1^38*t^5.846 - t^6. + t^6.026/g1^84 + g1^46*t^6.129 + (2*t^6.154)/g1^38 + 6*g1^8*t^6.283 + (2*t^6.309)/g1^76 + 4*g1^54*t^6.412 + (4*t^6.438)/g1^30 + 6*g1^16*t^6.567 + (3*t^6.592)/g1^68 + 3*g1^62*t^6.695 + (5*t^6.721)/g1^22 + 6*g1^24*t^6.85 + (5*t^6.875)/g1^60 + 2*g1^70*t^6.979 + (7*t^7.004)/g1^14 + 9*g1^32*t^7.133 + (5*t^7.159)/g1^52 + g1^78*t^7.262 + (5*t^7.288)/g1^6 + 4*g1^40*t^7.416 + (6*t^7.442)/g1^44 + 7*g1^2*t^7.571 + 6*g1^48*t^7.7 + (6*t^7.725)/g1^36 + 8*g1^10*t^7.854 + 4*g1^56*t^7.983 + (2*t^8.009)/g1^28 + t^8.034/g1^112 + (2*t^8.163)/g1^66 + 3*g1^64*t^8.266 + (4*t^8.292)/g1^20 + (2*t^8.317)/g1^104 + 5*g1^26*t^8.421 + (4*t^8.446)/g1^58 + 6*g1^72*t^8.55 + (5*t^8.575)/g1^12 + (4*t^8.601)/g1^96 + 8*g1^34*t^8.704 + (5*t^8.729)/g1^50 + 4*g1^80*t^8.833 + (2*t^8.858)/g1^4 + (6*t^8.884)/g1^88 + 9*g1^42*t^8.987 - (g1^2*t^4.571)/y - t^6.579/(g1^26*y) - (g1^20*t^6.708)/y - (g1^28*t^6.991)/y + (2*t^7.146)/(g1^10*y) + (g1^36*t^7.275)/y + t^7.3/(g1^48*y) + (2*t^7.429)/(g1^2*y) + (2*g1^44*t^7.558)/y + t^7.584/(g1^40*y) + (4*g1^6*t^7.712)/y + (3*t^7.867)/(g1^32*y) + (5*g1^14*t^7.996)/y + (3*t^8.15)/(g1^24*y) + (2*g1^22*t^8.279)/y + (5*t^8.433)/(g1^16*y) + (5*g1^30*t^8.562)/y - t^8.588/(g1^54*y) + (3*t^8.717)/(g1^8*y) + (3*g1^38*t^8.846)/y - g1^2*t^4.571*y - (t^6.579*y)/g1^26 - g1^20*t^6.708*y - g1^28*t^6.991*y + (2*t^7.146*y)/g1^10 + g1^36*t^7.275*y + (t^7.3*y)/g1^48 + (2*t^7.429*y)/g1^2 + 2*g1^44*t^7.558*y + (t^7.584*y)/g1^40 + 4*g1^6*t^7.712*y + (3*t^7.867*y)/g1^32 + 5*g1^14*t^7.996*y + (3*t^8.15*y)/g1^24 + 2*g1^22*t^8.279*y + (5*t^8.433*y)/g1^16 + 5*g1^30*t^8.562*y - (t^8.588*y)/g1^54 + (3*t^8.717*y)/g1^8 + 3*g1^38*t^8.846*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
5373	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{5}q_{1}\tilde{q}_{1}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{2}M_{6}$ + ${ }M_{7}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{6}M_{8}$	0.6455	0.8571	0.7531	[M:[0.9544, 1.1369, 0.9544, 0.7054, 0.7966, 0.8631, 0.6806, 1.1369], q:[0.7386, 0.307], qb:[0.4648, 0.3983], phi:[0.5228]]	t^2.042 + 2*t^2.116 + t^2.315 + t^2.39 + 2*t^2.863 + 3*t^3.411 + t^3.685 + t^4.083 + 3*t^4.158 + 3*t^4.232 + 2*t^4.357 + 3*t^4.432 + 2*t^4.506 + t^4.631 + t^4.705 + t^4.78 + 2*t^4.905 + 4*t^4.979 + 2*t^5.179 + 2*t^5.253 + 3*t^5.452 + 5*t^5.527 + 5*t^5.726 + 4*t^5.801 - 3*t^6. - t^4.568/y - t^4.568*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
3328	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{5}q_{1}\tilde{q}_{1}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{2}M_{6}$	0.6369	0.8365	0.7614	[M:[0.9529, 1.1414, 0.9529, 0.712, 0.8063, 0.8586], q:[0.7382, 0.3089], qb:[0.4555, 0.4031], phi:[0.5236]]	2*t^2.136 + t^2.293 + t^2.419 + t^2.576 + 2*t^2.859 + 2*t^3.424 + t^3.707 + t^3.99 + t^4.147 + 3*t^4.272 + t^4.304 + 2*t^4.429 + 2*t^4.555 + t^4.586 + 3*t^4.712 + t^4.838 + t^4.869 + 5*t^4.995 + 3*t^5.152 + 2*t^5.278 + 2*t^5.435 + 3*t^5.56 + 3*t^5.717 + 3*t^5.843 - t^6. - t^4.571/y - t^4.571*y	detail