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
774	SU2adj1nf2	${}\phi_{1}q_{1}q_{2}$ + ${ }M_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }M_{4}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{2}M_{5}$ + ${ }M_{1}M_{5}$ + ${ }M_{5}M_{6}$	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]]	[M:[[1, -5], [1, -5], [-8, 4], [-5, 1], [-1, 5], [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
${}M_{3}$, ${ }M_{4}$, ${ }\phi_{1}^{2}$, ${ }M_{1}$, ${ }M_{6}$, ${ }\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{2}\tilde{q}_{2}$, ${ }M_{3}^{2}$, ${ }M_{3}M_{4}$, ${ }M_{4}^{2}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{1}M_{3}$, ${ }M_{3}M_{6}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{1}M_{4}$, ${ }M_{4}M_{6}$, ${ }\phi_{1}^{4}$, ${ }M_{1}\phi_{1}^{2}$, ${ }M_{6}\phi_{1}^{2}$, ${ }M_{1}^{2}$, ${ }M_{1}M_{6}$, ${ }M_{6}^{2}$, ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{4}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{1}q_{2}$, ${ }\phi_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{6}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\tilde{q}_{1}^{2}\tilde{q}_{2}^{2}$, ${ }M_{3}q_{1}\tilde{q}_{2}$, ${ }M_{4}q_{1}\tilde{q}_{2}$, ${ }M_{3}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{6}q_{1}\tilde{q}_{2}$, ${ }M_{3}q_{2}\tilde{q}_{2}$, ${ }M_{4}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$	${}M_{4}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}^{3}\tilde{q}_{1}\tilde{q}_{2}$	-1	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^6.006 + t^6.013 + t^6.217 + t^6.223 + 2*t^6.229 + 4*t^6.236 + 4*t^6.242 + 5*t^6.249 + 6*t^6.255 + 5*t^6.262 + 3*t^6.268 + 4*t^6.274 + t^6.775 + t^6.787 + t^6.794 + t^7.017 + t^7.023 + 2*t^7.03 + 2*t^7.036 + 2*t^7.043 + 2*t^7.049 + 2*t^7.055 + t^7.804 + t^7.817 + t^7.836 + t^8.047 + t^8.053 + 2*t^8.059 + 2*t^8.066 - 2*t^8.079 - 4*t^8.091 + t^8.104 + t^8.289 + t^8.295 + 2*t^8.302 + 4*t^8.308 + 5*t^8.315 + 6*t^8.321 + 9*t^8.327 + 8*t^8.334 + 9*t^8.34 + 9*t^8.347 + 7*t^8.353 + 4*t^8.359 + 5*t^8.366 + t^8.617 + t^8.847 + t^8.853 + t^8.86 - 2*t^8.872 - t^4.043/y - t^6.115/y - t^6.121/y - t^6.128/y - (2*t^6.134)/y + t^7.151/y + t^7.157/y + (3*t^7.164)/y + (2*t^7.17)/y + (2*t^7.177)/y + t^7.183/y + t^7.945/y + (3*t^7.951)/y + (2*t^7.957)/y + (3*t^7.964)/y + t^7.97/y - t^8.187/y - t^8.193/y - (2*t^8.2)/y - (3*t^8.206)/y - (3*t^8.213)/y - (2*t^8.219)/y - (3*t^8.225)/y + t^8.974/y + t^8.981/y + (2*t^8.987)/y + (4*t^8.994)/y - t^4.043*y - t^6.115*y - t^6.121*y - t^6.128*y - 2*t^6.134*y + t^7.151*y + t^7.157*y + 3*t^7.164*y + 2*t^7.17*y + 2*t^7.177*y + t^7.183*y + t^7.945*y + 3*t^7.951*y + 2*t^7.957*y + 3*t^7.964*y + t^7.97*y - t^8.187*y - t^8.193*y - 2*t^8.2*y - 3*t^8.206*y - 3*t^8.213*y - 2*t^8.219*y - 3*t^8.225*y + t^8.974*y + t^8.981*y + 2*t^8.987*y + 4*t^8.994*y	(g2^4*t^2.072)/g1^8 + (g2*t^2.079)/g1^5 + t^2.085/(g1^2*g2^2) + (2*g1*t^2.091)/g2^5 + g1^3*g2^3*t^2.872 + (g2^8*t^3.902)/g1^4 + g1^2*g2^2*t^3.915 + (g1^5*t^3.921)/g2 + (g2^8*t^4.144)/g1^16 + (g2^5*t^4.151)/g1^13 + (2*g2^2*t^4.157)/g1^10 + (3*t^4.164)/(g1^7*g2) + (3*t^4.17)/(g1^4*g2^4) + (2*t^4.177)/(g1*g2^7) + (3*g1^2*t^4.183)/g2^10 + (g2^7*t^4.945)/g1^5 + (g2^4*t^4.951)/g1^2 + 2*g1*g2*t^4.957 + (2*g1^4*t^4.964)/g2^2 + g1^6*g2^6*t^5.745 + (g2^12*t^5.974)/g1^12 + (g2^9*t^5.981)/g1^9 + (g2^6*t^5.987)/g1^6 + (2*g2^3*t^5.994)/g1^3 - t^6. + (g1^3*t^6.006)/g2^3 + (g1^6*t^6.013)/g2^6 + (g2^12*t^6.217)/g1^24 + (g2^9*t^6.223)/g1^21 + (2*g2^6*t^6.229)/g1^18 + (4*g2^3*t^6.236)/g1^15 + (4*t^6.242)/g1^12 + (5*t^6.249)/(g1^9*g2^3) + (6*t^6.255)/(g1^6*g2^6) + (5*t^6.262)/(g1^3*g2^9) + (3*t^6.268)/g2^12 + (4*g1^3*t^6.274)/g2^15 + (g2^11*t^6.775)/g1 + g1^5*g2^5*t^6.787 + g1^8*g2^2*t^6.794 + (g2^11*t^7.017)/g1^13 + (g2^8*t^7.023)/g1^10 + (2*g2^5*t^7.03)/g1^7 + (2*g2^2*t^7.036)/g1^4 + (2*t^7.043)/(g1*g2) + (2*g1^2*t^7.049)/g2^4 + (2*g1^5*t^7.055)/g2^7 + (g2^16*t^7.804)/g1^8 + (g2^10*t^7.817)/g1^2 + g1^7*g2*t^7.836 + (g2^16*t^8.047)/g1^20 + (g2^13*t^8.053)/g1^17 + (2*g2^10*t^8.059)/g1^14 + (2*g2^7*t^8.066)/g1^11 - (2*g2*t^8.079)/g1^5 - (4*g1*t^8.091)/g2^5 + (g1^7*t^8.104)/g2^11 + (g2^16*t^8.289)/g1^32 + (g2^13*t^8.295)/g1^29 + (2*g2^10*t^8.302)/g1^26 + (4*g2^7*t^8.308)/g1^23 + (5*g2^4*t^8.315)/g1^20 + (6*g2*t^8.321)/g1^17 + (9*t^8.327)/(g1^14*g2^2) + (8*t^8.334)/(g1^11*g2^5) + (9*t^8.34)/(g1^8*g2^8) + (9*t^8.347)/(g1^5*g2^11) + (7*t^8.353)/(g1^2*g2^14) + (4*g1*t^8.359)/g2^17 + (5*g1^4*t^8.366)/g2^20 + g1^9*g2^9*t^8.617 + (g2^15*t^8.847)/g1^9 + (g2^12*t^8.853)/g1^6 + (g2^9*t^8.86)/g1^3 - 2*g1^3*g2^3*t^8.872 - t^4.043/(g1*g2*y) - (g2^3*t^6.115)/(g1^9*y) - t^6.121/(g1^6*y) - t^6.128/(g1^3*g2^3*y) - (2*t^6.134)/(g2^6*y) + (g2^5*t^7.151)/(g1^13*y) + (g2^2*t^7.157)/(g1^10*y) + (3*t^7.164)/(g1^7*g2*y) + (2*t^7.17)/(g1^4*g2^4*y) + (2*t^7.177)/(g1*g2^7*y) + (g1^2*t^7.183)/(g2^10*y) + (g2^7*t^7.945)/(g1^5*y) + (3*g2^4*t^7.951)/(g1^2*y) + (2*g1*g2*t^7.957)/y + (3*g1^4*t^7.964)/(g2^2*y) + (g1^7*t^7.97)/(g2^5*y) - (g2^7*t^8.187)/(g1^17*y) - (g2^4*t^8.193)/(g1^14*y) - (2*g2*t^8.2)/(g1^11*y) - (3*t^8.206)/(g1^8*g2^2*y) - (3*t^8.213)/(g1^5*g2^5*y) - (2*t^8.219)/(g1^2*g2^8*y) - (3*g1*t^8.225)/(g2^11*y) + (g2^12*t^8.974)/(g1^12*y) + (g2^9*t^8.981)/(g1^9*y) + (2*g2^6*t^8.987)/(g1^6*y) + (4*g2^3*t^8.994)/(g1^3*y) - (t^4.043*y)/(g1*g2) - (g2^3*t^6.115*y)/g1^9 - (t^6.121*y)/g1^6 - (t^6.128*y)/(g1^3*g2^3) - (2*t^6.134*y)/g2^6 + (g2^5*t^7.151*y)/g1^13 + (g2^2*t^7.157*y)/g1^10 + (3*t^7.164*y)/(g1^7*g2) + (2*t^7.17*y)/(g1^4*g2^4) + (2*t^7.177*y)/(g1*g2^7) + (g1^2*t^7.183*y)/g2^10 + (g2^7*t^7.945*y)/g1^5 + (3*g2^4*t^7.951*y)/g1^2 + 2*g1*g2*t^7.957*y + (3*g1^4*t^7.964*y)/g2^2 + (g1^7*t^7.97*y)/g2^5 - (g2^7*t^8.187*y)/g1^17 - (g2^4*t^8.193*y)/g1^14 - (2*g2*t^8.2*y)/g1^11 - (3*t^8.206*y)/(g1^8*g2^2) - (3*t^8.213*y)/(g1^5*g2^5) - (2*t^8.219*y)/(g1^2*g2^8) - (3*g1*t^8.225*y)/g2^11 + (g2^12*t^8.974*y)/g1^12 + (g2^9*t^8.981*y)/g1^9 + (2*g2^6*t^8.987*y)/g1^6 + (4*g2^3*t^8.994*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
1260	${}\phi_{1}q_{1}q_{2}$ + ${ }M_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }M_{4}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{2}M_{5}$ + ${ }M_{1}M_{5}$ + ${ }M_{5}M_{6}$ + ${ }M_{3}M_{7}$	0.6689	0.8348	0.8013	[M:[0.6952, 0.6952, 0.7054, 0.702, 1.3048, 0.6952, 1.2946], q:[0.8304, 0.8203], qb:[0.4744, 0.4777], phi:[0.3493]]	2*t^2.086 + t^2.096 + t^2.106 + t^2.856 + t^3.884 + t^3.894 + t^3.904 + t^3.924 + 3*t^4.171 + 2*t^4.182 + 3*t^4.192 + t^4.202 + t^4.212 + 2*t^4.942 + 2*t^4.952 + t^4.962 + t^5.713 + 2*t^5.97 + 2*t^5.98 + 2*t^5.99 - t^6. - t^4.048/y - t^4.048*y	detail
2001	${}\phi_{1}q_{1}q_{2}$ + ${ }M_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }M_{4}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{2}M_{5}$ + ${ }M_{1}M_{5}$ + ${ }M_{5}M_{6}$ + ${ }M_{7}q_{1}\tilde{q}_{2}$	0.7101	0.9146	0.7765	[M:[0.6907, 0.6907, 0.6952, 0.6937, 1.3093, 0.6907, 0.6892], q:[0.8292, 0.8247], qb:[0.4801, 0.4816], 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
2003	${}\phi_{1}q_{1}q_{2}$ + ${ }M_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }M_{4}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{2}M_{5}$ + ${ }M_{1}M_{5}$ + ${ }M_{5}M_{6}$ + ${ }M_{7}q_{2}\tilde{q}_{2}$	0.7102	0.9149	0.7762	[M:[0.6964, 0.6964, 0.6854, 0.6891, 1.3036, 0.6964, 0.6891], q:[0.8213, 0.8323], qb:[0.4823, 0.4786], phi:[0.3464]]	t^2.056 + 2*t^2.067 + t^2.078 + 2*t^2.089 + t^2.883 + t^3.9 + t^3.922 + t^4.112 + 2*t^4.123 + 4*t^4.134 + 4*t^4.145 + 5*t^4.156 + 2*t^4.167 + 3*t^4.178 + t^4.939 + 2*t^4.95 + 2*t^4.961 + 2*t^4.972 + t^5.766 + t^5.956 + 2*t^5.967 + t^5.978 + 2*t^5.989 - 2*t^6. - t^4.039/y - t^4.039*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
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]]	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^4.049/y - t^4.049*y	detail