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 =

Search for theories with rational R-charges and central 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
46141	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{3}\phi_{1}q_{1}^{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{4}\tilde{q}_{1}\tilde{q}_{2}$	0.6896	0.8756	0.7876	[M:[0.6901, 0.6901, 0.6833, 0.7038], q:[0.4841, 0.8258], qb:[0.8258, 0.4705], phi:[0.3485]]	[M:[[-7, 1], [-7, 1], [-10, 2], [-1, -1]], q:[[6, -1], [1, 0]], qb:[[1, 0], [0, 1]], phi:[[-2, 0]]]	2

Relevant Operators	Marginal Operators	$n_{marginal}$$-$$|F_{IR}|$	Superconformal Index	Refined index
${}M_{3}$, ${ }M_{1}$, ${ }M_{2}$, ${ }\phi_{1}^{2}$, ${ }M_{4}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{3}^{2}$, ${ }M_{1}M_{3}$, ${ }M_{2}M_{3}$, ${ }M_{1}^{2}$, ${ }M_{1}M_{2}$, ${ }M_{2}^{2}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{3}M_{4}$, ${ }M_{1}\phi_{1}^{2}$, ${ }M_{2}\phi_{1}^{2}$, ${ }M_{1}M_{4}$, ${ }M_{2}M_{4}$, ${ }\phi_{1}^{4}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{4}^{2}$, ${ }M_{3}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{4}q_{1}\tilde{q}_{2}$, ${ }q_{1}^{2}\tilde{q}_{2}^{2}$, ${ }M_{3}\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{1}\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{2}\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{3}\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{3}\tilde{q}_{2}^{2}$, ${ }\phi_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{4}\phi_{1}\tilde{q}_{2}^{2}$	${}\phi_{1}q_{2}^{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}^{3}q_{1}\tilde{q}_{2}$	-1	t^2.05 + 2*t^2.07 + t^2.091 + t^2.111 + t^2.864 + t^3.868 + t^3.889 + t^3.909 + t^4.1 + 2*t^4.12 + 4*t^4.141 + 3*t^4.161 + 3*t^4.182 + t^4.202 + t^4.223 + t^4.914 + 2*t^4.934 + 2*t^4.955 + t^4.975 + t^5.728 + t^5.918 + 3*t^5.939 + 3*t^5.959 + 2*t^5.98 - t^6. - t^6.02 - t^6.041 + t^6.15 + 2*t^6.17 + 4*t^6.191 + 7*t^6.211 + 6*t^6.232 + 6*t^6.252 + 4*t^6.272 + 3*t^6.293 + t^6.313 + t^6.334 + t^6.732 + t^6.753 + t^6.773 + t^6.964 + 2*t^6.984 + 4*t^7.005 + 3*t^7.025 + 2*t^7.045 + t^7.737 + t^7.757 + 2*t^7.777 + t^7.798 - t^7.839 - t^7.859 + t^7.968 + 3*t^7.989 + 6*t^8.009 + 5*t^8.03 + 2*t^8.05 - 4*t^8.07 - 4*t^8.091 - 5*t^8.111 - 2*t^8.132 - t^8.152 + t^8.2 + 2*t^8.22 + 4*t^8.241 + 7*t^8.261 + 11*t^8.282 + 10*t^8.302 + 11*t^8.322 + 8*t^8.343 + 7*t^8.363 + 4*t^8.384 + 3*t^8.404 + t^8.425 + t^8.445 + t^8.591 + t^8.782 + 3*t^8.802 + 3*t^8.823 + t^8.843 - 2*t^8.864 - 3*t^8.884 - 2*t^8.905 - t^4.045/y - t^6.095/y - (2*t^6.116)/y - t^6.136/y - t^6.157/y + (2*t^7.12)/y + (2*t^7.141)/y + (3*t^7.161)/y + (2*t^7.182)/y + t^7.202/y + t^7.914/y + (3*t^7.934)/y + (2*t^7.955)/y + (3*t^7.975)/y + t^7.995/y - t^8.145/y - (2*t^8.166)/y - (4*t^8.186)/y - (3*t^8.207)/y - (3*t^8.227)/y - t^8.247/y - t^8.268/y + t^8.918/y + (3*t^8.939)/y + (4*t^8.959)/y + (4*t^8.98)/y - t^4.045*y - t^6.095*y - 2*t^6.116*y - t^6.136*y - t^6.157*y + 2*t^7.12*y + 2*t^7.141*y + 3*t^7.161*y + 2*t^7.182*y + t^7.202*y + t^7.914*y + 3*t^7.934*y + 2*t^7.955*y + 3*t^7.975*y + t^7.995*y - t^8.145*y - 2*t^8.166*y - 4*t^8.186*y - 3*t^8.207*y - 3*t^8.227*y - t^8.247*y - t^8.268*y + t^8.918*y + 3*t^8.939*y + 4*t^8.959*y + 4*t^8.98*y	(g2^2*t^2.05)/g1^10 + (2*g2*t^2.07)/g1^7 + t^2.091/g1^4 + t^2.111/(g1*g2) + g1^6*t^2.864 + (g2^2*t^3.868)/g1^2 + g1*g2*t^3.889 + g1^4*t^3.909 + (g2^4*t^4.1)/g1^20 + (2*g2^3*t^4.12)/g1^17 + (4*g2^2*t^4.141)/g1^14 + (3*g2*t^4.161)/g1^11 + (3*t^4.182)/g1^8 + t^4.202/(g1^5*g2) + t^4.223/(g1^2*g2^2) + (g2^2*t^4.914)/g1^4 + (2*g2*t^4.934)/g1 + 2*g1^2*t^4.955 + (g1^5*t^4.975)/g2 + g1^12*t^5.728 + (g2^4*t^5.918)/g1^12 + (3*g2^3*t^5.939)/g1^9 + (3*g2^2*t^5.959)/g1^6 + (2*g2*t^5.98)/g1^3 - t^6. - (g1^3*t^6.02)/g2 - (g1^6*t^6.041)/g2^2 + (g2^6*t^6.15)/g1^30 + (2*g2^5*t^6.17)/g1^27 + (4*g2^4*t^6.191)/g1^24 + (7*g2^3*t^6.211)/g1^21 + (6*g2^2*t^6.232)/g1^18 + (6*g2*t^6.252)/g1^15 + (4*t^6.272)/g1^12 + (3*t^6.293)/(g1^9*g2) + t^6.313/(g1^6*g2^2) + t^6.334/(g1^3*g2^3) + g1^4*g2^2*t^6.732 + g1^7*g2*t^6.753 + g1^10*t^6.773 + (g2^4*t^6.964)/g1^14 + (2*g2^3*t^6.984)/g1^11 + (4*g2^2*t^7.005)/g1^8 + (3*g2*t^7.025)/g1^5 + (2*t^7.045)/g1^2 + (g2^4*t^7.737)/g1^4 + (g2^3*t^7.757)/g1 + 2*g1^2*g2^2*t^7.777 + g1^5*g2*t^7.798 - (g1^11*t^7.839)/g2 - (g1^14*t^7.859)/g2^2 + (g2^6*t^7.968)/g1^22 + (3*g2^5*t^7.989)/g1^19 + (6*g2^4*t^8.009)/g1^16 + (5*g2^3*t^8.03)/g1^13 + (2*g2^2*t^8.05)/g1^10 - (4*g2*t^8.07)/g1^7 - (4*t^8.091)/g1^4 - (5*t^8.111)/(g1*g2) - (2*g1^2*t^8.132)/g2^2 - (g1^5*t^8.152)/g2^3 + (g2^8*t^8.2)/g1^40 + (2*g2^7*t^8.22)/g1^37 + (4*g2^6*t^8.241)/g1^34 + (7*g2^5*t^8.261)/g1^31 + (11*g2^4*t^8.282)/g1^28 + (10*g2^3*t^8.302)/g1^25 + (11*g2^2*t^8.322)/g1^22 + (8*g2*t^8.343)/g1^19 + (7*t^8.363)/g1^16 + (4*t^8.384)/(g1^13*g2) + (3*t^8.404)/(g1^10*g2^2) + t^8.425/(g1^7*g2^3) + t^8.445/(g1^4*g2^4) + g1^18*t^8.591 + (g2^4*t^8.782)/g1^6 + (3*g2^3*t^8.802)/g1^3 + 3*g2^2*t^8.823 + g1^3*g2*t^8.843 - 2*g1^6*t^8.864 - (3*g1^9*t^8.884)/g2 - (2*g1^12*t^8.905)/g2^2 - t^4.045/(g1^2*y) - (g2^2*t^6.095)/(g1^12*y) - (2*g2*t^6.116)/(g1^9*y) - t^6.136/(g1^6*y) - t^6.157/(g1^3*g2*y) + (2*g2^3*t^7.12)/(g1^17*y) + (2*g2^2*t^7.141)/(g1^14*y) + (3*g2*t^7.161)/(g1^11*y) + (2*t^7.182)/(g1^8*y) + t^7.202/(g1^5*g2*y) + (g2^2*t^7.914)/(g1^4*y) + (3*g2*t^7.934)/(g1*y) + (2*g1^2*t^7.955)/y + (3*g1^5*t^7.975)/(g2*y) + (g1^8*t^7.995)/(g2^2*y) - (g2^4*t^8.145)/(g1^22*y) - (2*g2^3*t^8.166)/(g1^19*y) - (4*g2^2*t^8.186)/(g1^16*y) - (3*g2*t^8.207)/(g1^13*y) - (3*t^8.227)/(g1^10*y) - t^8.247/(g1^7*g2*y) - t^8.268/(g1^4*g2^2*y) + (g2^4*t^8.918)/(g1^12*y) + (3*g2^3*t^8.939)/(g1^9*y) + (4*g2^2*t^8.959)/(g1^6*y) + (4*g2*t^8.98)/(g1^3*y) - (t^4.045*y)/g1^2 - (g2^2*t^6.095*y)/g1^12 - (2*g2*t^6.116*y)/g1^9 - (t^6.136*y)/g1^6 - (t^6.157*y)/(g1^3*g2) + (2*g2^3*t^7.12*y)/g1^17 + (2*g2^2*t^7.141*y)/g1^14 + (3*g2*t^7.161*y)/g1^11 + (2*t^7.182*y)/g1^8 + (t^7.202*y)/(g1^5*g2) + (g2^2*t^7.914*y)/g1^4 + (3*g2*t^7.934*y)/g1 + 2*g1^2*t^7.955*y + (3*g1^5*t^7.975*y)/g2 + (g1^8*t^7.995*y)/g2^2 - (g2^4*t^8.145*y)/g1^22 - (2*g2^3*t^8.166*y)/g1^19 - (4*g2^2*t^8.186*y)/g1^16 - (3*g2*t^8.207*y)/g1^13 - (3*t^8.227*y)/g1^10 - (t^8.247*y)/(g1^7*g2) - (t^8.268*y)/(g1^4*g2^2) + (g2^4*t^8.918*y)/g1^12 + (3*g2^3*t^8.939*y)/g1^9 + (4*g2^2*t^8.959*y)/g1^6 + (4*g2*t^8.98*y)/g1^3

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
46482	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{3}\phi_{1}q_{1}^{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{4}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{5}\phi_{1}\tilde{q}_{2}^{2}$	0.7101	0.9146	0.7765	[M:[0.6907, 0.6907, 0.6892, 0.6937, 0.6952], q:[0.4824, 0.827], qb:[0.827, 0.4794], phi:[0.3461]]	t^2.068 + 2*t^2.072 + t^2.076 + t^2.081 + t^2.085 + t^2.885 + t^3.919 + t^3.924 + t^4.135 + 2*t^4.14 + 4*t^4.144 + 3*t^4.148 + 4*t^4.153 + 3*t^4.157 + 2*t^4.162 + t^4.166 + t^4.171 + t^4.953 + 2*t^4.957 + 2*t^4.962 + t^4.966 + t^4.971 + t^5.771 + t^5.987 + 2*t^5.991 + t^5.996 - t^6. - t^4.038/y - t^4.038*y	detail
46498	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{3}\phi_{1}q_{1}^{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{4}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{5}\phi_{1}^{2}$	0.6691	0.8361	0.8002	[M:[0.6932, 0.6932, 0.6855, 0.7086, 1.2991], q:[0.482, 0.8248], qb:[0.8248, 0.4666], phi:[0.3505]]	t^2.057 + 2*t^2.08 + t^2.126 + t^2.846 + t^3.851 + t^3.874 + 2*t^3.897 + t^4.113 + 2*t^4.136 + 3*t^4.159 + t^4.182 + 2*t^4.205 + t^4.251 + t^4.903 + 2*t^4.926 + t^4.949 + t^4.972 + t^5.692 + t^5.908 + 3*t^5.931 + 3*t^5.954 + 3*t^5.977 - 2*t^6. - t^4.051/y - t^4.051*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
45958	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{3}\phi_{1}q_{1}^{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$	0.6897	0.8762	0.7872	[M:[0.6829, 0.6979, 0.6829, 0.6979], q:[0.4841, 0.8331], qb:[0.818, 0.469], phi:[0.349]]	2*t^2.049 + 3*t^2.094 + t^2.859 + 2*t^3.861 + t^3.906 + 3*t^4.097 + 6*t^4.142 + 6*t^4.188 + 2*t^4.908 + 4*t^4.953 + t^5.718 + 4*t^5.909 + 6*t^5.955 - 2*t^6. - t^4.047/y - t^4.047*y	detail