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
5228	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{5}\phi_{1}^{2}$ + ${ }\phi_{1}q_{2}^{2}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{7}\phi_{1}q_{1}^{2}$ + ${ }M_{8}q_{2}\tilde{q}_{1}$	0.6838	0.867	0.7887	[M:[0.8278, 1.0574, 1.1722, 0.713, 1.0574, 1.0695, 0.713, 0.8157], q:[0.4078, 0.7643], qb:[0.42, 0.5226], phi:[0.4713]]	[M:[[-12], [4], [12], [-20], [4], [-30], [-20], [22]], q:[[11], [1]], qb:[[-23], [19]], phi:[[-2]]]	1

Relevant Operators	Marginal Operators	$n_{marginal}$$-$$|F_{IR}|$	Superconformal Index	Refined index
${}M_{4}$, ${ }M_{7}$, ${ }M_{8}$, ${ }M_{1}$, ${ }M_{2}$, ${ }M_{5}$, ${ }M_{6}$, ${ }M_{3}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{4}^{2}$, ${ }M_{4}M_{7}$, ${ }M_{7}^{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{4}M_{8}$, ${ }M_{7}M_{8}$, ${ }M_{1}M_{4}$, ${ }M_{1}M_{7}$, ${ }M_{8}^{2}$, ${ }M_{1}M_{8}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }M_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{2}M_{4}$, ${ }M_{4}M_{5}$, ${ }M_{2}M_{7}$, ${ }M_{5}M_{7}$, ${ }M_{4}M_{6}$, ${ }M_{6}M_{7}$, ${ }M_{2}M_{8}$, ${ }M_{5}M_{8}$, ${ }M_{1}M_{2}$, ${ }M_{3}M_{4}$, ${ }M_{1}M_{5}$, ${ }M_{3}M_{7}$, ${ }M_{6}M_{8}$	${}$	-2	2*t^2.139 + t^2.447 + t^2.483 + 2*t^3.172 + t^3.209 + t^3.517 + t^3.897 + t^3.934 + t^4.205 + t^4.242 + 3*t^4.278 + t^4.55 + 2*t^4.586 + 2*t^4.623 + t^4.894 + t^4.93 + t^4.967 + 4*t^5.311 + 2*t^5.348 + 2*t^5.619 + 4*t^5.656 - 2*t^6. + t^6.036 + 2*t^6.073 - t^6.308 + 3*t^6.344 + 5*t^6.381 + 6*t^6.417 + t^6.652 + 4*t^6.689 + 3*t^6.725 + 3*t^6.762 + t^6.997 + t^7.033 + t^7.07 + 3*t^7.106 + t^7.142 + t^7.341 + t^7.377 + t^7.414 + 7*t^7.45 + 3*t^7.487 + 3*t^7.758 + 6*t^7.795 + t^7.831 + t^7.868 + 2*t^8.066 - 3*t^8.139 + 2*t^8.175 + 3*t^8.212 - 5*t^8.447 + 3*t^8.483 + 8*t^8.52 + 9*t^8.556 + 3*t^8.791 + 8*t^8.828 + 6*t^8.864 + 5*t^8.901 - t^4.414/y - (2*t^6.553)/y - t^6.861/y + t^7.205/y + t^7.242/y + t^7.278/y + t^7.586/y + t^7.623/y + t^7.93/y + t^7.967/y + (2*t^8.275)/y + (4*t^8.311)/y + (2*t^8.348)/y + (2*t^8.619)/y + (5*t^8.656)/y - (2*t^8.692)/y + t^8.964/y - t^4.414*y - 2*t^6.553*y - t^6.861*y + t^7.205*y + t^7.242*y + t^7.278*y + t^7.586*y + t^7.623*y + t^7.93*y + t^7.967*y + 2*t^8.275*y + 4*t^8.311*y + 2*t^8.348*y + 2*t^8.619*y + 5*t^8.656*y - 2*t^8.692*y + t^8.964*y	(2*t^2.139)/g1^20 + g1^22*t^2.447 + t^2.483/g1^12 + 2*g1^4*t^3.172 + t^3.209/g1^30 + g1^12*t^3.517 + t^3.897/g1^14 + t^3.934/g1^48 + g1^28*t^4.205 + t^4.242/g1^6 + (3*t^4.278)/g1^40 + g1^36*t^4.55 + 2*g1^2*t^4.586 + (2*t^4.623)/g1^32 + g1^44*t^4.894 + g1^10*t^4.93 + t^4.967/g1^24 + (4*t^5.311)/g1^16 + (2*t^5.348)/g1^50 + 2*g1^26*t^5.619 + (4*t^5.656)/g1^8 - 2*t^6. + t^6.036/g1^34 + (2*t^6.073)/g1^68 - g1^42*t^6.308 + 3*g1^8*t^6.344 + (5*t^6.381)/g1^26 + (6*t^6.417)/g1^60 + g1^50*t^6.652 + 4*g1^16*t^6.689 + (3*t^6.725)/g1^18 + (3*t^6.762)/g1^52 + g1^58*t^6.997 + g1^24*t^7.033 + t^7.07/g1^10 + (3*t^7.106)/g1^44 + t^7.142/g1^78 + g1^66*t^7.341 + g1^32*t^7.377 + t^7.414/g1^2 + (7*t^7.45)/g1^36 + (3*t^7.487)/g1^70 + 3*g1^6*t^7.758 + (6*t^7.795)/g1^28 + t^7.831/g1^62 + t^7.868/g1^96 + 2*g1^48*t^8.066 - (3*t^8.139)/g1^20 + (2*t^8.175)/g1^54 + (3*t^8.212)/g1^88 - 5*g1^22*t^8.447 + (3*t^8.483)/g1^12 + (8*t^8.52)/g1^46 + (9*t^8.556)/g1^80 + 3*g1^30*t^8.791 + (8*t^8.828)/g1^4 + (6*t^8.864)/g1^38 + (5*t^8.901)/g1^72 - t^4.414/(g1^2*y) - (2*t^6.553)/(g1^22*y) - (g1^20*t^6.861)/y + (g1^28*t^7.205)/y + t^7.242/(g1^6*y) + t^7.278/(g1^40*y) + (g1^2*t^7.586)/y + t^7.623/(g1^32*y) + (g1^10*t^7.93)/y + t^7.967/(g1^24*y) + (2*g1^18*t^8.275)/y + (4*t^8.311)/(g1^16*y) + (2*t^8.348)/(g1^50*y) + (2*g1^26*t^8.619)/y + (5*t^8.656)/(g1^8*y) - (2*t^8.692)/(g1^42*y) + (g1^34*t^8.964)/y - (t^4.414*y)/g1^2 - (2*t^6.553*y)/g1^22 - g1^20*t^6.861*y + g1^28*t^7.205*y + (t^7.242*y)/g1^6 + (t^7.278*y)/g1^40 + g1^2*t^7.586*y + (t^7.623*y)/g1^32 + g1^10*t^7.93*y + (t^7.967*y)/g1^24 + 2*g1^18*t^8.275*y + (4*t^8.311*y)/g1^16 + (2*t^8.348*y)/g1^50 + 2*g1^26*t^8.619*y + (5*t^8.656*y)/g1^8 - (2*t^8.692*y)/g1^42 + g1^34*t^8.964*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
6785	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{5}\phi_{1}^{2}$ + ${ }\phi_{1}q_{2}^{2}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{7}\phi_{1}q_{1}^{2}$ + ${ }M_{8}q_{2}\tilde{q}_{1}$ + ${ }M_{9}\phi_{1}q_{1}\tilde{q}_{1}$	0.7043	0.9061	0.7773	[M:[0.8291, 1.057, 1.1709, 0.7152, 1.057, 1.0727, 0.7152, 0.8133, 0.6994], q:[0.4067, 0.7642], qb:[0.4224, 0.5206], phi:[0.4715]]	t^2.098 + 2*t^2.145 + t^2.44 + t^2.487 + 2*t^3.171 + t^3.218 + t^3.513 + t^3.949 + 2*t^4.196 + 3*t^4.244 + 3*t^4.291 + 2*t^4.538 + 3*t^4.585 + 2*t^4.633 + t^4.88 + t^4.927 + t^4.975 + 2*t^5.269 + 5*t^5.316 + 2*t^5.364 + 3*t^5.611 + 4*t^5.658 - 2*t^6. - t^4.415/y - t^4.415*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
3554	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{5}\phi_{1}^{2}$ + ${ }\phi_{1}q_{2}^{2}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{7}\phi_{1}q_{1}^{2}$	0.6688	0.8425	0.7938	[M:[0.8199, 1.06, 1.1801, 0.6999, 1.06, 1.0498, 0.6999], q:[0.4151, 0.765], qb:[0.4049, 0.5351], phi:[0.47]]	2*t^2.1 + t^2.46 + t^3.149 + 2*t^3.18 + t^3.51 + t^3.54 + t^3.839 + t^3.87 + 3*t^4.199 + t^4.23 + t^4.261 + 2*t^4.559 + t^4.621 + t^4.92 + 2*t^5.249 + 4*t^5.28 + 2*t^5.609 + 3*t^5.64 + 2*t^5.939 + 2*t^5.969 - 2*t^6. - t^4.41/y - t^4.41*y	detail