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
484	SU2adj1nf2	${}\phi_{1}q_{1}q_{2}$ + ${ }M_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }M_{4}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{2}M_{5}$ + ${ }M_{1}M_{5}$	0.669	0.8353	0.8009	[M:[0.7048, 0.7048, 0.6889, 0.6942, 1.2952], q:[0.8172, 0.8331], qb:[0.4781, 0.4728], phi:[0.3497]]	[M:[[1, -5], [1, -5], [-8, 4], [-5, 1], [-1, 5]], q:[[-4, 5], [5, -4]], qb:[[3, 0], [0, 3]], phi:[[-1, -1]]]	2

Relevant Operators	Marginal Operators	$n_{marginal}$$-$$|F_{IR}|$	Superconformal Index	Refined index
${}M_{3}$, ${ }M_{4}$, ${ }\phi_{1}^{2}$, ${ }M_{1}$, ${ }\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }M_{5}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{2}\tilde{q}_{2}$, ${ }M_{3}^{2}$, ${ }M_{3}M_{4}$, ${ }M_{4}^{2}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{1}M_{3}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{1}M_{4}$, ${ }\phi_{1}^{4}$, ${ }M_{1}\phi_{1}^{2}$, ${ }M_{1}^{2}$, ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{4}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{1}q_{2}$, ${ }\phi_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\tilde{q}_{1}^{2}\tilde{q}_{2}^{2}$, ${ }M_{3}q_{1}\tilde{q}_{2}$, ${ }M_{3}M_{5}$, ${ }M_{4}q_{1}\tilde{q}_{2}$, ${ }M_{4}M_{5}$, ${ }M_{3}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{5}\phi_{1}^{2}$, ${ }M_{3}q_{2}\tilde{q}_{2}$, ${ }M_{4}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$	${}M_{4}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}^{3}\tilde{q}_{1}\tilde{q}_{2}$	0	t^2.067 + t^2.082 + t^2.098 + t^2.114 + t^2.852 + t^3.87 + t^3.886 + t^3.902 + t^3.918 + t^4.133 + t^4.149 + 2*t^4.165 + 2*t^4.181 + 2*t^4.197 + t^4.213 + t^4.229 + t^4.919 + t^4.935 + 2*t^4.951 + t^4.967 + t^5.705 + t^5.936 + 2*t^5.952 + 2*t^5.968 + 2*t^5.984 + t^6.2 + t^6.216 + 2*t^6.232 + 3*t^6.247 + 3*t^6.263 + 3*t^6.279 + 3*t^6.295 + 2*t^6.311 + t^6.327 + t^6.343 + t^6.722 + t^6.738 + t^6.754 + t^6.77 + t^6.986 + t^7.001 + 2*t^7.017 + t^7.033 + t^7.049 + t^7.74 + t^7.756 + 2*t^7.771 + t^7.787 + t^7.803 + t^8.003 + 2*t^8.019 + 3*t^8.035 + 3*t^8.051 + t^8.067 - t^8.082 - t^8.098 - 2*t^8.114 - t^8.13 + t^8.266 + t^8.282 + 2*t^8.298 + 3*t^8.314 + 4*t^8.33 + 4*t^8.346 + 5*t^8.362 + 4*t^8.378 + 4*t^8.393 + 3*t^8.409 + 2*t^8.425 + t^8.441 + t^8.457 + t^8.557 + t^8.789 + 2*t^8.805 + 2*t^8.821 + t^8.837 - t^8.852 - t^8.868 - t^8.884 - t^4.049/y - t^6.116/y - t^6.132/y - t^6.148/y - t^6.163/y + t^7.149/y + t^7.165/y + (2*t^7.181)/y + t^7.197/y + t^7.213/y + t^7.919/y + (2*t^7.935)/y + (2*t^7.951)/y + (2*t^7.967)/y + t^7.983/y - t^8.182/y - t^8.198/y - (2*t^8.214)/y - (2*t^8.23)/y - (2*t^8.246)/y - t^8.262/y - t^8.278/y + t^8.936/y + (2*t^8.952)/y + (3*t^8.968)/y + (4*t^8.984)/y - t^4.049*y - t^6.116*y - t^6.132*y - t^6.148*y - t^6.163*y + t^7.149*y + t^7.165*y + 2*t^7.181*y + t^7.197*y + t^7.213*y + t^7.919*y + 2*t^7.935*y + 2*t^7.951*y + 2*t^7.967*y + t^7.983*y - t^8.182*y - t^8.198*y - 2*t^8.214*y - 2*t^8.23*y - 2*t^8.246*y - t^8.262*y - t^8.278*y + t^8.936*y + 2*t^8.952*y + 3*t^8.968*y + 4*t^8.984*y	(g2^4*t^2.067)/g1^8 + (g2*t^2.082)/g1^5 + t^2.098/(g1^2*g2^2) + (g1*t^2.114)/g2^5 + g1^3*g2^3*t^2.852 + (g2^8*t^3.87)/g1^4 + (g2^5*t^3.886)/g1 + g1^2*g2^2*t^3.902 + (g1^5*t^3.918)/g2 + (g2^8*t^4.133)/g1^16 + (g2^5*t^4.149)/g1^13 + (2*g2^2*t^4.165)/g1^10 + (2*t^4.181)/(g1^7*g2) + (2*t^4.197)/(g1^4*g2^4) + t^4.213/(g1*g2^7) + (g1^2*t^4.229)/g2^10 + (g2^7*t^4.919)/g1^5 + (g2^4*t^4.935)/g1^2 + 2*g1*g2*t^4.951 + (g1^4*t^4.967)/g2^2 + g1^6*g2^6*t^5.705 + (g2^12*t^5.936)/g1^12 + (2*g2^9*t^5.952)/g1^9 + (2*g2^6*t^5.968)/g1^6 + (2*g2^3*t^5.984)/g1^3 + (g2^12*t^6.2)/g1^24 + (g2^9*t^6.216)/g1^21 + (2*g2^6*t^6.232)/g1^18 + (3*g2^3*t^6.247)/g1^15 + (3*t^6.263)/g1^12 + (3*t^6.279)/(g1^9*g2^3) + (3*t^6.295)/(g1^6*g2^6) + (2*t^6.311)/(g1^3*g2^9) + t^6.327/g2^12 + (g1^3*t^6.343)/g2^15 + (g2^11*t^6.722)/g1 + g1^2*g2^8*t^6.738 + g1^5*g2^5*t^6.754 + g1^8*g2^2*t^6.77 + (g2^11*t^6.986)/g1^13 + (g2^8*t^7.001)/g1^10 + (2*g2^5*t^7.017)/g1^7 + (g2^2*t^7.033)/g1^4 + t^7.049/(g1*g2) + (g2^16*t^7.74)/g1^8 + (g2^13*t^7.756)/g1^5 + (2*g2^10*t^7.771)/g1^2 + g1*g2^7*t^7.787 + g1^4*g2^4*t^7.803 + (g2^16*t^8.003)/g1^20 + (2*g2^13*t^8.019)/g1^17 + (3*g2^10*t^8.035)/g1^14 + (3*g2^7*t^8.051)/g1^11 + (g2^4*t^8.067)/g1^8 - (g2*t^8.082)/g1^5 - t^8.098/(g1^2*g2^2) - (2*g1*t^8.114)/g2^5 - (g1^4*t^8.13)/g2^8 + (g2^16*t^8.266)/g1^32 + (g2^13*t^8.282)/g1^29 + (2*g2^10*t^8.298)/g1^26 + (3*g2^7*t^8.314)/g1^23 + (4*g2^4*t^8.33)/g1^20 + (4*g2*t^8.346)/g1^17 + (5*t^8.362)/(g1^14*g2^2) + (4*t^8.378)/(g1^11*g2^5) + (4*t^8.393)/(g1^8*g2^8) + (3*t^8.409)/(g1^5*g2^11) + (2*t^8.425)/(g1^2*g2^14) + (g1*t^8.441)/g2^17 + (g1^4*t^8.457)/g2^20 + g1^9*g2^9*t^8.557 + (g2^15*t^8.789)/g1^9 + (2*g2^12*t^8.805)/g1^6 + (2*g2^9*t^8.821)/g1^3 + g2^6*t^8.837 - g1^3*g2^3*t^8.852 - g1^6*t^8.868 - (g1^9*t^8.884)/g2^3 - t^4.049/(g1*g2*y) - (g2^3*t^6.116)/(g1^9*y) - t^6.132/(g1^6*y) - t^6.148/(g1^3*g2^3*y) - t^6.163/(g2^6*y) + (g2^5*t^7.149)/(g1^13*y) + (g2^2*t^7.165)/(g1^10*y) + (2*t^7.181)/(g1^7*g2*y) + t^7.197/(g1^4*g2^4*y) + t^7.213/(g1*g2^7*y) + (g2^7*t^7.919)/(g1^5*y) + (2*g2^4*t^7.935)/(g1^2*y) + (2*g1*g2*t^7.951)/y + (2*g1^4*t^7.967)/(g2^2*y) + (g1^7*t^7.983)/(g2^5*y) - (g2^7*t^8.182)/(g1^17*y) - (g2^4*t^8.198)/(g1^14*y) - (2*g2*t^8.214)/(g1^11*y) - (2*t^8.23)/(g1^8*g2^2*y) - (2*t^8.246)/(g1^5*g2^5*y) - t^8.262/(g1^2*g2^8*y) - (g1*t^8.278)/(g2^11*y) + (g2^12*t^8.936)/(g1^12*y) + (2*g2^9*t^8.952)/(g1^9*y) + (3*g2^6*t^8.968)/(g1^6*y) + (4*g2^3*t^8.984)/(g1^3*y) - (t^4.049*y)/(g1*g2) - (g2^3*t^6.116*y)/g1^9 - (t^6.132*y)/g1^6 - (t^6.148*y)/(g1^3*g2^3) - (t^6.163*y)/g2^6 + (g2^5*t^7.149*y)/g1^13 + (g2^2*t^7.165*y)/g1^10 + (2*t^7.181*y)/(g1^7*g2) + (t^7.197*y)/(g1^4*g2^4) + (t^7.213*y)/(g1*g2^7) + (g2^7*t^7.919*y)/g1^5 + (2*g2^4*t^7.935*y)/g1^2 + 2*g1*g2*t^7.951*y + (2*g1^4*t^7.967*y)/g2^2 + (g1^7*t^7.983*y)/g2^5 - (g2^7*t^8.182*y)/g1^17 - (g2^4*t^8.198*y)/g1^14 - (2*g2*t^8.214*y)/g1^11 - (2*t^8.23*y)/(g1^8*g2^2) - (2*t^8.246*y)/(g1^5*g2^5) - (t^8.262*y)/(g1^2*g2^8) - (g1*t^8.278*y)/g2^11 + (g2^12*t^8.936*y)/g1^12 + (2*g2^9*t^8.952*y)/g1^9 + (3*g2^6*t^8.968*y)/g1^6 + (4*g2^3*t^8.984*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
772	${}\phi_{1}q_{1}q_{2}$ + ${ }M_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }M_{4}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{2}M_{5}$ + ${ }M_{1}M_{5}$ + ${ }M_{3}M_{4}$	0.5822	0.7285	0.7991	[M:[0.6846, 0.6846, 1.0631, 0.9369, 1.3154], q:[0.9866, 0.608], qb:[0.3289, 0.455], phi:[0.4054]]	t^2.054 + t^2.352 + t^2.432 + t^2.811 + 2*t^3.189 + t^3.568 + t^3.946 + t^4.107 + t^4.325 + t^4.405 + t^4.486 + t^4.703 + 2*t^4.784 + 2*t^4.864 + t^5.162 + 2*t^5.243 + 2*t^5.541 + 2*t^5.621 + t^5.92 + t^6. - t^4.216/y - t^4.216*y	detail
774	${}\phi_{1}q_{1}q_{2}$ + ${ }M_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }M_{4}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{2}M_{5}$ + ${ }M_{1}M_{5}$ + ${ }M_{5}M_{6}$	0.6895	0.8745	0.7885	[M:[0.6972, 0.6972, 0.6907, 0.6929, 1.3028, 0.6972], q:[0.823, 0.8295], qb:[0.4798, 0.4777], phi:[0.3475]]	t^2.072 + t^2.079 + t^2.085 + 2*t^2.091 + t^2.872 + t^3.902 + t^3.915 + t^3.921 + t^4.144 + t^4.151 + 2*t^4.157 + 3*t^4.164 + 3*t^4.17 + 2*t^4.177 + 3*t^4.183 + t^4.945 + t^4.951 + 2*t^4.957 + 2*t^4.964 + t^5.745 + t^5.974 + t^5.981 + t^5.987 + 2*t^5.994 - t^6. - t^4.043/y - t^4.043*y	detail
1861	${}\phi_{1}q_{1}q_{2}$ + ${ }M_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }M_{4}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{2}M_{5}$ + ${ }M_{1}M_{5}$ + ${ }M_{6}q_{2}\tilde{q}_{2}$	0.6896	0.8756	0.7876	[M:[0.7038, 0.7038, 0.6833, 0.6901, 1.2962, 0.6901], q:[0.8155, 0.836], qb:[0.4807, 0.4739], phi:[0.3485]]	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^4.045/y - t^4.045*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
310	SU2adj1nf2	${}\phi_{1}q_{1}q_{2}$ + ${ }M_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }M_{4}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{2}M_{5}$	0.6693	0.8377	0.7989	[M:[0.6919, 0.7273, 0.6919, 0.6801, 1.2727], q:[0.8241, 0.8241], qb:[0.4841, 0.4605], phi:[0.3518]]	t^2.04 + 2*t^2.076 + t^2.111 + t^2.834 + t^3.818 + 2*t^3.854 + t^3.889 + t^4.08 + 2*t^4.116 + 4*t^4.151 + 2*t^4.187 + t^4.222 + t^4.874 + 2*t^4.909 + 2*t^4.945 + t^5.667 + t^5.858 + 4*t^5.894 + 5*t^5.929 + 2*t^5.965 - 2*t^6. - t^4.055/y - t^4.055*y	detail