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
5384	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{3}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{1}\tilde{q}_{1}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{2}M_{5}$ + ${ }M_{5}M_{7}$ + ${ }M_{8}\phi_{1}\tilde{q}_{1}^{2}$	0.6593	0.8825	0.7472	[M:[0.9534, 1.1399, 0.7668, 0.7099, 0.8601, 0.8032, 1.1399, 0.6735], q:[0.7383, 0.3083], qb:[0.4016, 0.4585], phi:[0.5233]]	[M:[[4], [-12], [20], [-18], [12], [-26], [-12], [28]], q:[[1], [-5]], qb:[[-13], [25]], phi:[[-2]]]	1

Relevant Operators	Marginal Operators	$n_{marginal}$$-$$|F_{IR}|$	Superconformal Index	Refined index
${}M_{8}$, ${ }M_{4}$, ${ }q_{2}\tilde{q}_{1}$, ${ }M_{3}$, ${ }q_{2}\tilde{q}_{2}$, ${ }M_{6}$, ${ }M_{1}$, ${ }\phi_{1}^{2}$, ${ }M_{2}$, ${ }M_{7}$, ${ }\phi_{1}q_{2}^{2}$, ${ }M_{8}^{2}$, ${ }M_{4}M_{8}$, ${ }M_{8}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{4}^{2}$, ${ }M_{4}q_{2}\tilde{q}_{1}$, ${ }q_{2}^{2}\tilde{q}_{1}^{2}$, ${ }M_{3}M_{8}$, ${ }M_{8}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{3}M_{4}$, ${ }M_{6}M_{8}$, ${ }M_{3}q_{2}\tilde{q}_{1}$, ${ }M_{4}q_{2}\tilde{q}_{2}$, ${ }q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{4}M_{6}$, ${ }M_{6}q_{2}\tilde{q}_{1}$, ${ }M_{3}^{2}$, ${ }M_{3}q_{2}\tilde{q}_{2}$, ${ }q_{2}^{2}\tilde{q}_{2}^{2}$, ${ }M_{3}M_{6}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }M_{6}q_{2}\tilde{q}_{2}$, ${ }M_{6}^{2}$, ${ }M_{1}M_{8}$, ${ }M_{1}M_{4}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{1}M_{3}$, ${ }M_{8}\phi_{1}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{1}M_{6}$, ${ }M_{4}\phi_{1}^{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$, ${ }M_{2}M_{8}$, ${ }M_{7}M_{8}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{8}\phi_{1}q_{2}^{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$, ${ }M_{2}M_{4}$, ${ }M_{4}M_{7}$, ${ }M_{6}\phi_{1}^{2}$, ${ }M_{4}\phi_{1}q_{2}^{2}$, ${ }M_{7}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}^{3}\tilde{q}_{1}$, ${ }M_{1}^{2}$, ${ }M_{2}M_{3}$, ${ }M_{3}M_{7}$, ${ }M_{3}\phi_{1}q_{2}^{2}$, ${ }M_{7}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}^{3}\tilde{q}_{2}$, ${ }M_{2}M_{6}$, ${ }M_{6}M_{7}$, ${ }M_{6}\phi_{1}q_{2}^{2}$	${}$	-3	t^2.02 + 2*t^2.13 + 2*t^2.3 + t^2.41 + t^2.86 + t^3.14 + 3*t^3.42 + t^4.041 + 3*t^4.15 + 3*t^4.259 + 3*t^4.321 + 5*t^4.43 + 2*t^4.539 + 3*t^4.601 + 2*t^4.71 + t^4.819 + t^4.881 + 2*t^4.99 + 3*t^5.16 + 3*t^5.27 + 5*t^5.44 + 6*t^5.55 + 5*t^5.72 + 2*t^5.829 - 3*t^6. + t^6.061 + 2*t^6.171 + 5*t^6.28 + 3*t^6.341 + 4*t^6.389 + 7*t^6.45 + 10*t^6.56 + 5*t^6.621 + 3*t^6.669 + 7*t^6.73 + 8*t^6.84 + 5*t^6.901 + 2*t^6.949 + 3*t^7.01 + 3*t^7.119 + 3*t^7.181 + t^7.229 + 4*t^7.29 + 3*t^7.399 + 8*t^7.461 + 10*t^7.57 + 10*t^7.679 + 8*t^7.741 + 9*t^7.85 + 4*t^7.959 + t^8.02 + t^8.082 - 3*t^8.13 + 2*t^8.191 + 2*t^8.239 - 3*t^8.3 + 3*t^8.362 + 3*t^8.41 + 6*t^8.471 + 5*t^8.519 + 11*t^8.58 + 6*t^8.642 + 13*t^8.689 + 10*t^8.751 + 4*t^8.799 + 13*t^8.86 + 8*t^8.921 + 13*t^8.969 - t^4.57/y - t^6.59/y - t^6.7/y - t^6.87/y - t^6.98/y + (3*t^7.15)/y + t^7.259/y + (2*t^7.321)/y + (5*t^7.43)/y + (2*t^7.539)/y + t^7.601/y + (2*t^7.71)/y + t^7.881/y + t^7.99/y + (4*t^8.16)/y + (4*t^8.27)/y + (6*t^8.44)/y + (8*t^8.55)/y - t^8.611/y + (5*t^8.72)/y + (2*t^8.829)/y - t^8.891/y - t^4.57*y - t^6.59*y - t^6.7*y - t^6.87*y - t^6.98*y + 3*t^7.15*y + t^7.259*y + 2*t^7.321*y + 5*t^7.43*y + 2*t^7.539*y + t^7.601*y + 2*t^7.71*y + t^7.881*y + t^7.99*y + 4*t^8.16*y + 4*t^8.27*y + 6*t^8.44*y + 8*t^8.55*y - t^8.611*y + 5*t^8.72*y + 2*t^8.829*y - t^8.891*y	g1^28*t^2.02 + (2*t^2.13)/g1^18 + 2*g1^20*t^2.3 + t^2.41/g1^26 + g1^4*t^2.86 + t^3.14/g1^4 + (3*t^3.42)/g1^12 + g1^56*t^4.041 + 3*g1^10*t^4.15 + (3*t^4.259)/g1^36 + 3*g1^48*t^4.321 + 5*g1^2*t^4.43 + (2*t^4.539)/g1^44 + 3*g1^40*t^4.601 + (2*t^4.71)/g1^6 + t^4.819/g1^52 + g1^32*t^4.881 + (2*t^4.99)/g1^14 + 3*g1^24*t^5.16 + (3*t^5.27)/g1^22 + 5*g1^16*t^5.44 + (6*t^5.55)/g1^30 + 5*g1^8*t^5.72 + (2*t^5.829)/g1^38 - 3*t^6. + g1^84*t^6.061 + 2*g1^38*t^6.171 + (5*t^6.28)/g1^8 + 3*g1^76*t^6.341 + (4*t^6.389)/g1^54 + 7*g1^30*t^6.45 + (10*t^6.56)/g1^16 + 5*g1^68*t^6.621 + (3*t^6.669)/g1^62 + 7*g1^22*t^6.73 + (8*t^6.84)/g1^24 + 5*g1^60*t^6.901 + (2*t^6.949)/g1^70 + 3*g1^14*t^7.01 + (3*t^7.119)/g1^32 + 3*g1^52*t^7.181 + t^7.229/g1^78 + 4*g1^6*t^7.29 + (3*t^7.399)/g1^40 + 8*g1^44*t^7.461 + (10*t^7.57)/g1^2 + (10*t^7.679)/g1^48 + 8*g1^36*t^7.741 + (9*t^7.85)/g1^10 + (4*t^7.959)/g1^56 + g1^28*t^8.02 + g1^112*t^8.082 - (3*t^8.13)/g1^18 + 2*g1^66*t^8.191 + (2*t^8.239)/g1^64 - 3*g1^20*t^8.3 + 3*g1^104*t^8.362 + (3*t^8.41)/g1^26 + 6*g1^58*t^8.471 + (5*t^8.519)/g1^72 + 11*g1^12*t^8.58 + 6*g1^96*t^8.642 + (13*t^8.689)/g1^34 + 10*g1^50*t^8.751 + (4*t^8.799)/g1^80 + 13*g1^4*t^8.86 + 8*g1^88*t^8.921 + (13*t^8.969)/g1^42 - t^4.57/(g1^2*y) - (g1^26*t^6.59)/y - t^6.7/(g1^20*y) - (g1^18*t^6.87)/y - t^6.98/(g1^28*y) + (3*g1^10*t^7.15)/y + t^7.259/(g1^36*y) + (2*g1^48*t^7.321)/y + (5*g1^2*t^7.43)/y + (2*t^7.539)/(g1^44*y) + (g1^40*t^7.601)/y + (2*t^7.71)/(g1^6*y) + (g1^32*t^7.881)/y + t^7.99/(g1^14*y) + (4*g1^24*t^8.16)/y + (4*t^8.27)/(g1^22*y) + (6*g1^16*t^8.44)/y + (8*t^8.55)/(g1^30*y) - (g1^54*t^8.611)/y + (5*g1^8*t^8.72)/y + (2*t^8.829)/(g1^38*y) - (g1^46*t^8.891)/y - (t^4.57*y)/g1^2 - g1^26*t^6.59*y - (t^6.7*y)/g1^20 - g1^18*t^6.87*y - (t^6.98*y)/g1^28 + 3*g1^10*t^7.15*y + (t^7.259*y)/g1^36 + 2*g1^48*t^7.321*y + 5*g1^2*t^7.43*y + (2*t^7.539*y)/g1^44 + g1^40*t^7.601*y + (2*t^7.71*y)/g1^6 + g1^32*t^7.881*y + (t^7.99*y)/g1^14 + 4*g1^24*t^8.16*y + (4*t^8.27*y)/g1^22 + 6*g1^16*t^8.44*y + (8*t^8.55*y)/g1^30 - g1^54*t^8.611*y + 5*g1^8*t^8.72*y + (2*t^8.829*y)/g1^38 - g1^46*t^8.891*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
6885	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{3}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{1}\tilde{q}_{1}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{2}M_{5}$ + ${ }M_{5}M_{7}$ + ${ }M_{8}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{1}M_{9}$	0.655	0.8752	0.7484	[M:[0.9539, 1.1382, 0.7697, 0.7072, 0.8618, 0.7993, 1.1382, 0.6776, 1.0461], q:[0.7385, 0.3076], qb:[0.3997, 0.4622], phi:[0.523]]	t^2.033 + 2*t^2.122 + 2*t^2.309 + t^2.398 + 2*t^3.138 + 3*t^3.414 + t^4.066 + 3*t^4.155 + 3*t^4.243 + 3*t^4.342 + 5*t^4.431 + 2*t^4.52 + 3*t^4.618 + 2*t^4.707 + t^4.796 + 2*t^5.171 + 4*t^5.26 + 7*t^5.447 + 7*t^5.536 + 4*t^5.724 + 2*t^5.813 - 4*t^6. - t^4.569/y - t^4.569*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
3796	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{3}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{1}\tilde{q}_{1}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{2}M_{5}$ + ${ }M_{5}M_{7}$	0.6385	0.8413	0.759	[M:[0.9536, 1.1393, 0.7678, 0.709, 0.8607, 0.8019, 1.1393], q:[0.7384, 0.308], qb:[0.4009, 0.4598], phi:[0.5232]]	2*t^2.127 + 2*t^2.303 + t^2.406 + t^2.861 + t^3.139 + 3*t^3.418 + t^3.975 + t^4.152 + 3*t^4.254 + t^4.328 + 4*t^4.43 + 2*t^4.532 + 3*t^4.607 + 2*t^4.709 + t^4.811 + 2*t^4.988 + 2*t^5.164 + 3*t^5.266 + 2*t^5.443 + 6*t^5.545 + 5*t^5.721 + 2*t^5.824 - 3*t^6. - t^4.57/y - t^4.57*y	detail