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
457	SU2adj1nf2	${}\phi_{1}q_{1}q_{2}$ + ${ }M_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{4}q_{2}\tilde{q}_{1}$ + ${ }M_{5}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{1}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$	0.6689	0.835	0.8011	[M:[0.699, 1.301, 0.7054, 0.6926, 0.6926], q:[0.8221, 0.8284], qb:[0.479, 0.4726], phi:[0.3495]]	[M:[[-2, -2], [2, 2], [1, -5], [-5, 1], [-5, 1]], q:[[-1, 2], [2, -1]], qb:[[3, 0], [0, 3]], phi:[[-1, -1]]]	2

Relevant Operators	Marginal Operators	$n_{marginal}$$-$$|F_{IR}|$	Superconformal Index	Refined index
${}M_{4}$, ${ }M_{5}$, ${ }M_{1}$, ${ }M_{3}$, ${ }\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }M_{2}$, ${ }q_{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{4}^{2}$, ${ }M_{4}M_{5}$, ${ }M_{5}^{2}$, ${ }M_{1}M_{4}$, ${ }M_{1}M_{5}$, ${ }M_{1}^{2}$, ${ }M_{3}M_{4}$, ${ }M_{3}M_{5}$, ${ }M_{1}M_{3}$, ${ }M_{3}^{2}$, ${ }M_{4}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{5}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{1}q_{2}$, ${ }M_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\tilde{q}_{1}^{2}\tilde{q}_{2}^{2}$, ${ }M_{4}q_{1}\tilde{q}_{2}$, ${ }M_{5}q_{1}\tilde{q}_{2}$, ${ }M_{2}M_{4}$, ${ }M_{2}M_{5}$, ${ }M_{4}q_{2}\tilde{q}_{2}$, ${ }M_{5}q_{2}\tilde{q}_{2}$, ${ }M_{4}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{5}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$	${}M_{1}M_{2}$, ${ }M_{3}q_{1}\tilde{q}_{2}$, ${ }M_{1}q_{2}\tilde{q}_{2}$	-1	2*t^2.078 + t^2.097 + t^2.116 + t^2.855 + t^3.884 + 3*t^3.903 + 3*t^4.156 + 2*t^4.175 + 3*t^4.194 + t^4.213 + t^4.232 + 2*t^4.932 + 2*t^4.952 + t^4.971 + t^5.709 + 2*t^5.962 + 5*t^5.981 - t^6. + t^6.019 + 4*t^6.233 + 3*t^6.252 + 5*t^6.272 + 3*t^6.291 + 3*t^6.31 + t^6.329 + t^6.348 + t^6.739 + 3*t^6.758 + 3*t^7.01 + 2*t^7.029 + t^7.087 + t^7.768 + 3*t^7.787 + 3*t^7.806 - t^7.825 + 3*t^8.039 + 7*t^8.059 - 3*t^8.078 - 3*t^8.116 + t^8.135 + 5*t^8.311 + 4*t^8.33 + 7*t^8.349 + 5*t^8.368 + 6*t^8.388 + 3*t^8.407 + 3*t^8.426 + t^8.445 + t^8.464 + t^8.564 + 2*t^8.816 + 4*t^8.835 - 2*t^8.855 - t^8.874 - t^4.048/y - (2*t^6.126)/y - t^6.145/y - t^6.165/y + t^7.156/y + (2*t^7.175)/y + (2*t^7.194)/y + t^7.213/y + (3*t^7.932)/y + (2*t^7.952)/y + (3*t^7.971)/y - (3*t^8.204)/y - (2*t^8.223)/y - (3*t^8.242)/y - t^8.261/y - t^8.281/y + (2*t^8.962)/y + (7*t^8.981)/y - t^4.048*y - 2*t^6.126*y - t^6.145*y - t^6.165*y + t^7.156*y + 2*t^7.175*y + 2*t^7.194*y + t^7.213*y + 3*t^7.932*y + 2*t^7.952*y + 3*t^7.971*y - 3*t^8.204*y - 2*t^8.223*y - 3*t^8.242*y - t^8.261*y - t^8.281*y + 2*t^8.962*y + 7*t^8.981*y	(2*g2*t^2.078)/g1^5 + t^2.097/(g1^2*g2^2) + (g1*t^2.116)/g2^5 + g1^3*g2^3*t^2.855 + (g2^5*t^3.884)/g1 + 3*g1^2*g2^2*t^3.903 + (3*g2^2*t^4.156)/g1^10 + (2*t^4.175)/(g1^7*g2) + (3*t^4.194)/(g1^4*g2^4) + t^4.213/(g1*g2^7) + (g1^2*t^4.232)/g2^10 + (2*g2^4*t^4.932)/g1^2 + 2*g1*g2*t^4.952 + (g1^4*t^4.971)/g2^2 + g1^6*g2^6*t^5.709 + (2*g2^6*t^5.962)/g1^6 + (5*g2^3*t^5.981)/g1^3 - t^6. + (g1^3*t^6.019)/g2^3 + (4*g2^3*t^6.233)/g1^15 + (3*t^6.252)/g1^12 + (5*t^6.272)/(g1^9*g2^3) + (3*t^6.291)/(g1^6*g2^6) + (3*t^6.31)/(g1^3*g2^9) + t^6.329/g2^12 + (g1^3*t^6.348)/g2^15 + g1^2*g2^8*t^6.739 + 3*g1^5*g2^5*t^6.758 + (3*g2^5*t^7.01)/g1^7 + (2*g2^2*t^7.029)/g1^4 + (g1^5*t^7.087)/g2^7 + (g2^10*t^7.768)/g1^2 + 3*g1*g2^7*t^7.787 + 3*g1^4*g2^4*t^7.806 - g1^7*g2*t^7.825 + (3*g2^7*t^8.039)/g1^11 + (7*g2^4*t^8.059)/g1^8 - (3*g2*t^8.078)/g1^5 - (3*g1*t^8.116)/g2^5 + (g1^4*t^8.135)/g2^8 + (5*g2^4*t^8.311)/g1^20 + (4*g2*t^8.33)/g1^17 + (7*t^8.349)/(g1^14*g2^2) + (5*t^8.368)/(g1^11*g2^5) + (6*t^8.388)/(g1^8*g2^8) + (3*t^8.407)/(g1^5*g2^11) + (3*t^8.426)/(g1^2*g2^14) + (g1*t^8.445)/g2^17 + (g1^4*t^8.464)/g2^20 + g1^9*g2^9*t^8.564 + (2*g2^9*t^8.816)/g1^3 + 4*g2^6*t^8.835 - 2*g1^3*g2^3*t^8.855 - g1^6*t^8.874 - t^4.048/(g1*g2*y) - (2*t^6.126)/(g1^6*y) - t^6.145/(g1^3*g2^3*y) - t^6.165/(g2^6*y) + (g2^2*t^7.156)/(g1^10*y) + (2*t^7.175)/(g1^7*g2*y) + (2*t^7.194)/(g1^4*g2^4*y) + t^7.213/(g1*g2^7*y) + (3*g2^4*t^7.932)/(g1^2*y) + (2*g1*g2*t^7.952)/y + (3*g1^4*t^7.971)/(g2^2*y) - (3*g2*t^8.204)/(g1^11*y) - (2*t^8.223)/(g1^8*g2^2*y) - (3*t^8.242)/(g1^5*g2^5*y) - t^8.261/(g1^2*g2^8*y) - (g1*t^8.281)/(g2^11*y) + (2*g2^6*t^8.962)/(g1^6*y) + (7*g2^3*t^8.981)/(g1^3*y) - (t^4.048*y)/(g1*g2) - (2*t^6.126*y)/g1^6 - (t^6.145*y)/(g1^3*g2^3) - (t^6.165*y)/g2^6 + (g2^2*t^7.156*y)/g1^10 + (2*t^7.175*y)/(g1^7*g2) + (2*t^7.194*y)/(g1^4*g2^4) + (t^7.213*y)/(g1*g2^7) + (3*g2^4*t^7.932*y)/g1^2 + 2*g1*g2*t^7.952*y + (3*g1^4*t^7.971*y)/g2^2 - (3*g2*t^8.204*y)/g1^11 - (2*t^8.223*y)/(g1^8*g2^2) - (3*t^8.242*y)/(g1^5*g2^5) - (t^8.261*y)/(g1^2*g2^8) - (g1*t^8.281*y)/g2^11 + (2*g2^6*t^8.962*y)/g1^6 + (7*g2^3*t^8.981*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
752	${}\phi_{1}q_{1}q_{2}$ + ${ }M_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{4}q_{2}\tilde{q}_{1}$ + ${ }M_{5}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{1}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{6}$	0.6484	0.7959	0.8147	[M:[0.7035, 1.2965, 0.7108, 0.6962, 0.6962, 1.2965], q:[0.8205, 0.8278], qb:[0.476, 0.4687], phi:[0.3518]]	2*t^2.089 + t^2.132 + t^2.834 + t^3.868 + 4*t^3.889 + 3*t^4.177 + 2*t^4.221 + t^4.265 + 2*t^4.923 + t^4.945 + t^4.967 + t^5.668 + 2*t^5.956 + 6*t^5.978 - 4*t^6. - t^4.055/y - t^4.055*y	detail
753	${}\phi_{1}q_{1}q_{2}$ + ${ }M_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{4}q_{2}\tilde{q}_{1}$ + ${ }M_{5}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{1}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}M_{6}$	0.6487	0.7983	0.8127	[M:[0.7076, 1.2924, 0.7271, 0.6881, 0.6881, 1.2729], q:[0.8133, 0.8329], qb:[0.4791, 0.4596], phi:[0.3538]]	2*t^2.064 + t^2.123 + t^2.816 + 2*t^3.819 + 3*t^3.877 + 3*t^4.128 + 2*t^4.187 + t^4.245 + 2*t^4.88 + 2*t^4.939 + t^5.632 + 4*t^5.883 + 6*t^5.941 - 2*t^6. - t^4.061/y - t^4.061*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
283	SU2adj1nf2	${}\phi_{1}q_{1}q_{2}$ + ${ }M_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{4}q_{2}\tilde{q}_{1}$ + ${ }M_{5}\phi_{1}\tilde{q}_{1}^{2}$	0.6689	0.8351	0.801	[M:[0.6951, 1.3008, 0.7072, 0.6951, 0.6911], q:[0.8252, 0.8252], qb:[0.4797, 0.4716], phi:[0.3496]]	t^2.073 + 2*t^2.085 + t^2.122 + t^2.854 + 2*t^3.89 + 2*t^3.902 + t^4.147 + 2*t^4.159 + 3*t^4.171 + t^4.195 + 2*t^4.207 + t^4.243 + t^4.927 + 2*t^4.939 + t^4.951 + t^4.975 + t^5.707 + 2*t^5.964 + 5*t^5.976 + 2*t^5.988 - 3*t^6. - t^4.049/y - t^4.049*y	detail