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
3681	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{4}X_{1}$ + ${ }M_{5}\phi_{1}q_{1}^{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$	0.6532	0.8167	0.7999	[X:[1.6152], M:[0.8455, 0.6937, 1.1545, 0.3848, 0.8076, 0.8076], q:[0.4038, 0.7507], qb:[0.4417, 0.8645], phi:[0.3848]]	[X:[[4]], M:[[12], [-28], [-12], [-4], [2], [2]], q:[[1], [-13]], qb:[[11], [17]], phi:[[-4]]]	1

Relevant Operators	Marginal Operators	$n_{marginal}$$-$$|F_{IR}|$	Superconformal Index	Refined index
${}M_{2}$, ${ }\phi_{1}^{2}$, ${ }M_{5}$, ${ }M_{6}$, ${ }M_{1}$, ${ }M_{3}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }M_{2}^{2}$, ${ }M_{2}\phi_{1}^{2}$, ${ }M_{2}M_{5}$, ${ }M_{2}M_{6}$, ${ }M_{1}M_{2}$, ${ }\phi_{1}^{4}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }M_{5}\phi_{1}^{2}$, ${ }M_{6}\phi_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{5}^{2}$, ${ }M_{5}M_{6}$, ${ }M_{6}^{2}$, ${ }M_{1}\phi_{1}^{2}$, ${ }X_{1}$, ${ }M_{1}M_{5}$, ${ }M_{1}M_{6}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{2}M_{3}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{3}M_{5}$, ${ }M_{3}M_{6}$	${}\phi_{1}^{3}q_{1}\tilde{q}_{1}$	-1	t^2.081 + t^2.309 + 2*t^2.423 + t^2.537 + t^3.463 + t^3.691 + 2*t^3.805 + t^4.162 + t^4.39 + 2*t^4.504 + 2*t^4.618 + 2*t^4.732 + 5*t^4.846 + 2*t^4.959 + t^5.073 + t^5.545 + t^5.772 + 2*t^5.886 - t^6. + 2*t^6.114 + 4*t^6.228 + t^6.244 + 2*t^6.342 + t^6.471 + 2*t^6.585 + 2*t^6.699 + 2*t^6.813 + 6*t^6.927 + 2*t^7.041 + 4*t^7.154 + 6*t^7.268 + 2*t^7.382 + 2*t^7.496 + 3*t^7.61 + t^7.626 + t^7.854 + 2*t^7.967 - t^8.081 + 2*t^8.309 + t^8.325 - 4*t^8.423 + t^8.553 + 6*t^8.65 + 2*t^8.666 + 3*t^8.764 + 2*t^8.78 + 2*t^8.878 + 2*t^8.894 - t^4.154/y - t^6.236/y - t^6.463/y - (2*t^6.577)/y + t^7.39/y + (2*t^7.504)/y + t^7.618/y + (4*t^7.732)/y + (3*t^7.846)/y + (2*t^7.959)/y + t^8.073/y - t^8.317/y - (2*t^8.658)/y + t^8.772/y + (2*t^8.886)/y - t^4.154*y - t^6.236*y - t^6.463*y - 2*t^6.577*y + t^7.39*y + 2*t^7.504*y + t^7.618*y + 4*t^7.732*y + 3*t^7.846*y + 2*t^7.959*y + t^8.073*y - t^8.317*y - 2*t^8.658*y + t^8.772*y + 2*t^8.886*y	t^2.081/g1^28 + t^2.309/g1^8 + 2*g1^2*t^2.423 + g1^12*t^2.537 + t^3.463/g1^12 + g1^8*t^3.691 + 2*g1^18*t^3.805 + t^4.162/g1^56 + t^4.39/g1^36 + (2*t^4.504)/g1^26 + (2*t^4.618)/g1^16 + (2*t^4.732)/g1^6 + 5*g1^4*t^4.846 + 2*g1^14*t^4.959 + g1^24*t^5.073 + t^5.545/g1^40 + t^5.772/g1^20 + (2*t^5.886)/g1^10 - t^6. + 2*g1^10*t^6.114 + 4*g1^20*t^6.228 + t^6.244/g1^84 + 2*g1^30*t^6.342 + t^6.471/g1^64 + (2*t^6.585)/g1^54 + (2*t^6.699)/g1^44 + (2*t^6.813)/g1^34 + (6*t^6.927)/g1^24 + (2*t^7.041)/g1^14 + (4*t^7.154)/g1^4 + 6*g1^6*t^7.268 + 2*g1^16*t^7.382 + 2*g1^26*t^7.496 + 3*g1^36*t^7.61 + t^7.626/g1^68 + t^7.854/g1^48 + (2*t^7.967)/g1^38 - t^8.081/g1^28 + (2*t^8.309)/g1^8 + t^8.325/g1^112 - 4*g1^2*t^8.423 + t^8.553/g1^92 + 6*g1^22*t^8.65 + (2*t^8.666)/g1^82 + 3*g1^32*t^8.764 + (2*t^8.78)/g1^72 + 2*g1^42*t^8.878 + (2*t^8.894)/g1^62 - t^4.154/(g1^4*y) - t^6.236/(g1^32*y) - t^6.463/(g1^12*y) - (2*t^6.577)/(g1^2*y) + t^7.39/(g1^36*y) + (2*t^7.504)/(g1^26*y) + t^7.618/(g1^16*y) + (4*t^7.732)/(g1^6*y) + (3*g1^4*t^7.846)/y + (2*g1^14*t^7.959)/y + (g1^24*t^8.073)/y - t^8.317/(g1^60*y) - (2*t^8.658)/(g1^30*y) + t^8.772/(g1^20*y) + (2*t^8.886)/(g1^10*y) - (t^4.154*y)/g1^4 - (t^6.236*y)/g1^32 - (t^6.463*y)/g1^12 - (2*t^6.577*y)/g1^2 + (t^7.39*y)/g1^36 + (2*t^7.504*y)/g1^26 + (t^7.618*y)/g1^16 + (4*t^7.732*y)/g1^6 + 3*g1^4*t^7.846*y + 2*g1^14*t^7.959*y + g1^24*t^8.073*y - (t^8.317*y)/g1^60 - (2*t^8.658*y)/g1^30 + (t^8.772*y)/g1^20 + (2*t^8.886*y)/g1^10

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
3948	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{4}X_{1}$ + ${ }M_{5}\phi_{1}q_{1}^{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{7}\phi_{1}q_{1}\tilde{q}_{1}$	0.6714	0.8496	0.7903	[X:[1.6168], M:[0.8503, 0.6827, 1.1497, 0.3832, 0.8084, 0.8084, 0.7665], q:[0.4042, 0.7455], qb:[0.4461, 0.8712], phi:[0.3832]]	t^2.048 + 2*t^2.299 + 2*t^2.425 + t^2.551 + t^3.449 + 2*t^3.826 + t^4.096 + 2*t^4.347 + 2*t^4.473 + 4*t^4.599 + 4*t^4.725 + 6*t^4.85 + 2*t^4.976 + t^5.102 + t^5.497 + t^5.749 + 2*t^5.874 - 2*t^6. - t^4.15/y - t^4.15*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
3260	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{4}X_{1}$ + ${ }M_{5}\phi_{1}q_{1}^{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$	0.6372	0.7887	0.8079	[X:[1.6157], M:[0.8471, 0.6901, 1.1529, 0.3843, 0.8078], q:[0.4039, 0.749], qb:[0.4432, 0.8667], phi:[0.3843]]	t^2.07 + t^2.306 + t^2.424 + t^2.541 + t^3.459 + t^3.576 + t^3.694 + 2*t^3.812 + t^4.141 + t^4.376 + t^4.494 + 2*t^4.612 + t^4.729 + 3*t^4.847 + t^4.965 + t^5.083 + t^5.529 + t^5.647 + t^5.765 + 2*t^5.882 - t^4.153/y - t^4.153*y	detail