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
2415	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{2}M_{4}$ + ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{5}\phi_{1}q_{2}^{2}$ + ${ }M_{6}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{7}q_{1}\tilde{q}_{1}$	0.6405	0.8589	0.7458	[M:[0.9178, 1.2467, 0.9178, 0.7533, 0.7533, 0.7056, 0.9178], q:[0.7294, 0.3528], qb:[0.3528, 0.4006], phi:[0.5411]]	[M:[[4], [-12], [4], [12], [12], [-10], [4]], q:[[1], [-5]], qb:[[-5], [17]], phi:[[-2]]]	1

Relevant Operators	Marginal Operators	$n_{marginal}$$-$$|F_{IR}|$	Superconformal Index	Refined index
${}M_{6}$, ${ }q_{2}\tilde{q}_{1}$, ${ }M_{4}$, ${ }M_{5}$, ${ }q_{2}\tilde{q}_{2}$, ${ }M_{1}$, ${ }M_{3}$, ${ }M_{7}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{6}^{2}$, ${ }M_{6}q_{2}\tilde{q}_{1}$, ${ }q_{2}^{2}\tilde{q}_{1}^{2}$, ${ }M_{4}M_{6}$, ${ }M_{5}M_{6}$, ${ }M_{4}q_{2}\tilde{q}_{1}$, ${ }M_{5}q_{2}\tilde{q}_{1}$, ${ }M_{6}q_{2}\tilde{q}_{2}$, ${ }q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{4}^{2}$, ${ }M_{4}M_{5}$, ${ }M_{5}^{2}$, ${ }M_{4}q_{2}\tilde{q}_{2}$, ${ }M_{5}q_{2}\tilde{q}_{2}$, ${ }q_{2}^{2}\tilde{q}_{2}^{2}$, ${ }M_{1}M_{6}$, ${ }M_{3}M_{6}$, ${ }M_{6}M_{7}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{3}q_{2}\tilde{q}_{1}$, ${ }M_{7}q_{2}\tilde{q}_{1}$, ${ }M_{1}M_{4}$, ${ }M_{3}M_{4}$, ${ }M_{1}M_{5}$, ${ }M_{3}M_{5}$, ${ }M_{4}M_{7}$, ${ }M_{5}M_{7}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{3}q_{2}\tilde{q}_{2}$, ${ }M_{7}q_{2}\tilde{q}_{2}$, ${ }M_{1}^{2}$, ${ }M_{1}M_{3}$, ${ }M_{3}^{2}$, ${ }M_{1}M_{7}$, ${ }M_{3}M_{7}$, ${ }M_{7}^{2}$, ${ }M_{6}q_{1}\tilde{q}_{2}$, ${ }M_{4}q_{1}\tilde{q}_{2}$, ${ }M_{5}q_{1}\tilde{q}_{2}$, ${ }q_{1}q_{2}\tilde{q}_{2}^{2}$, ${ }M_{6}\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{2}^{3}\tilde{q}_{1}$, ${ }M_{6}\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}^{3}$	${}M_{4}\phi_{1}q_{2}^{2}$, ${ }M_{4}\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{5}\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}q_{2}^{3}\tilde{q}_{2}$, ${ }M_{6}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}^{2}\tilde{q}_{2}$	1	2*t^2.117 + 3*t^2.26 + 3*t^2.753 + t^3.39 + 2*t^3.74 + t^3.883 + t^4.027 + 3*t^4.233 + 6*t^4.377 + 6*t^4.52 + 6*t^4.87 + 9*t^5.013 + 7*t^5.507 + 3*t^5.65 + 2*t^5.857 + t^6. + 5*t^6.143 + 3*t^6.287 + 4*t^6.35 + 10*t^6.493 + 12*t^6.637 + 13*t^6.78 + 6*t^6.987 + 14*t^7.13 + 17*t^7.273 + t^7.417 + 7*t^7.623 + 18*t^7.767 + 7*t^7.91 + 2*t^7.973 + t^8.053 - 5*t^8.117 + 7*t^8.26 + 12*t^8.403 + 5*t^8.467 + 6*t^8.547 + 8*t^8.61 + 2*t^8.753 + 23*t^8.897 - t^4.623/y - t^6.74/y - t^6.883/y + t^7.233/y + (4*t^7.377)/y + (3*t^7.52)/y + (8*t^7.87)/y + (9*t^8.013)/y + t^8.363/y + (6*t^8.507)/y + (3*t^8.65)/y + (3*t^8.857)/y - t^4.623*y - t^6.74*y - t^6.883*y + t^7.233*y + 4*t^7.377*y + 3*t^7.52*y + 8*t^7.87*y + 9*t^8.013*y + t^8.363*y + 6*t^8.507*y + 3*t^8.65*y + 3*t^8.857*y	(2*t^2.117)/g1^10 + 3*g1^12*t^2.26 + 3*g1^4*t^2.753 + g1^18*t^3.39 + (2*t^3.74)/g1^12 + g1^10*t^3.883 + g1^32*t^4.027 + (3*t^4.233)/g1^20 + 6*g1^2*t^4.377 + 6*g1^24*t^4.52 + (6*t^4.87)/g1^6 + 9*g1^16*t^5.013 + 7*g1^8*t^5.507 + 3*g1^30*t^5.65 + (2*t^5.857)/g1^22 + t^6. + 5*g1^22*t^6.143 + 3*g1^44*t^6.287 + (4*t^6.35)/g1^30 + (10*t^6.493)/g1^8 + 12*g1^14*t^6.637 + 13*g1^36*t^6.78 + (6*t^6.987)/g1^16 + 14*g1^6*t^7.13 + 17*g1^28*t^7.273 + g1^50*t^7.417 + (7*t^7.623)/g1^2 + 18*g1^20*t^7.767 + 7*g1^42*t^7.91 + (2*t^7.973)/g1^32 + g1^64*t^8.053 - (5*t^8.117)/g1^10 + 7*g1^12*t^8.26 + 12*g1^34*t^8.403 + (5*t^8.467)/g1^40 + 6*g1^56*t^8.547 + (8*t^8.61)/g1^18 + 2*g1^4*t^8.753 + 23*g1^26*t^8.897 - t^4.623/(g1^2*y) - t^6.74/(g1^12*y) - (g1^10*t^6.883)/y + t^7.233/(g1^20*y) + (4*g1^2*t^7.377)/y + (3*g1^24*t^7.52)/y + (8*t^7.87)/(g1^6*y) + (9*g1^16*t^8.013)/y + t^8.363/(g1^14*y) + (6*g1^8*t^8.507)/y + (3*g1^30*t^8.65)/y + (3*t^8.857)/(g1^22*y) - (t^4.623*y)/g1^2 - (t^6.74*y)/g1^12 - g1^10*t^6.883*y + (t^7.233*y)/g1^20 + 4*g1^2*t^7.377*y + 3*g1^24*t^7.52*y + (8*t^7.87*y)/g1^6 + 9*g1^16*t^8.013*y + (t^8.363*y)/g1^14 + 6*g1^8*t^8.507*y + 3*g1^30*t^8.65*y + (3*t^8.857*y)/g1^22

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
4454	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{2}M_{4}$ + ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{5}\phi_{1}q_{2}^{2}$ + ${ }M_{6}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{7}q_{1}\tilde{q}_{1}$ + ${ }M_{8}\phi_{1}q_{2}^{2}$	0.6596	0.8946	0.7373	[M:[0.9155, 1.2536, 0.9155, 0.7464, 0.7464, 0.7113, 0.9155, 0.7464], q:[0.7289, 0.3556], qb:[0.3556, 0.3908], phi:[0.5423]]	2*t^2.134 + 4*t^2.239 + 3*t^2.746 + t^3.359 + t^3.761 + t^3.866 + t^3.972 + 3*t^4.268 + 8*t^4.373 + 10*t^4.479 + 6*t^4.88 + 12*t^4.986 + 7*t^5.493 + 4*t^5.598 - t^6. - t^4.627/y - t^4.627*y	detail
4455	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{2}M_{4}$ + ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{5}\phi_{1}q_{2}^{2}$ + ${ }M_{6}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{7}q_{1}\tilde{q}_{1}$ + ${ }M_{8}q_{1}\tilde{q}_{2}$	0.6533	0.8791	0.7431	[M:[0.9242, 1.2273, 0.9242, 0.7727, 0.7727, 0.6894, 0.9242, 0.8409], q:[0.7311, 0.3447], qb:[0.3447, 0.428], phi:[0.5379]]	2*t^2.068 + 3*t^2.318 + t^2.523 + 3*t^2.773 + 2*t^3.682 + t^3.932 + 3*t^4.136 + t^4.182 + 6*t^4.386 + 2*t^4.591 + 6*t^4.636 + 9*t^4.841 + t^5.045 + 9*t^5.091 + 3*t^5.295 + 5*t^5.545 + 2*t^5.75 + t^6. - t^4.614/y - t^4.614*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
1347	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{2}M_{4}$ + ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{5}\phi_{1}q_{2}^{2}$ + ${ }M_{6}\phi_{1}q_{2}\tilde{q}_{2}$	0.6331	0.8457	0.7486	[M:[0.9195, 1.2415, 0.9195, 0.7585, 0.7585, 0.7012], q:[0.7299, 0.3506], qb:[0.3506, 0.4079], phi:[0.5402]]	2*t^2.104 + 3*t^2.276 + 2*t^2.759 + t^3.241 + t^3.413 + 2*t^3.724 + t^3.896 + t^4.068 + 3*t^4.207 + 6*t^4.379 + 6*t^4.551 + 4*t^4.862 + 6*t^5.034 + 2*t^5.345 + 7*t^5.517 + 3*t^5.689 + 2*t^5.828 + 3*t^6. - t^4.621/y - t^4.621*y	detail