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
46009	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}^{3}\tilde{q}_{2}^{2}$	0.6689	0.835	0.8011	[M:[0.7054, 0.6926, 0.6926], q:[0.4758, 0.8189], qb:[0.8316, 0.4758], phi:[0.3495]]	[M:[[1, -5], [-1, -3], [-1, -3]], q:[[0, 3], [-1, 2]], qb:[[1, 0], [0, 3]], phi:[[0, -2]]]	2

Relevant Operators	Marginal Operators	$n_{marginal}$$-$$|F_{IR}|$	Superconformal Index	Refined index
${}M_{2}$, ${ }M_{3}$, ${ }\phi_{1}^{2}$, ${ }M_{1}$, ${ }q_{1}\tilde{q}_{2}$, ${ }q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{2}^{2}$, ${ }M_{2}M_{3}$, ${ }M_{3}^{2}$, ${ }M_{2}\phi_{1}^{2}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{1}M_{2}$, ${ }M_{1}M_{3}$, ${ }\phi_{1}^{4}$, ${ }M_{1}\phi_{1}^{2}$, ${ }M_{1}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }M_{3}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{1}^{2}\tilde{q}_{2}^{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }M_{2}q_{2}\tilde{q}_{2}$, ${ }M_{3}q_{2}\tilde{q}_{2}$, ${ }M_{3}\phi_{1}q_{1}^{2}$, ${ }M_{3}\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$, ${ }M_{2}\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{3}\phi_{1}\tilde{q}_{2}^{2}$	${}\phi_{1}^{3}q_{1}^{2}$, ${ }\phi_{1}^{3}q_{1}\tilde{q}_{2}$	-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*t^2.078)/(g1*g2^3) + t^2.097/g2^4 + (g1*t^2.116)/g2^5 + g2^6*t^2.855 + (g2^5*t^3.884)/g1 + 3*g2^4*t^3.903 + (3*t^4.156)/(g1^2*g2^6) + (2*t^4.175)/(g1*g2^7) + (3*t^4.194)/g2^8 + (g1*t^4.213)/g2^9 + (g1^2*t^4.232)/g2^10 + (2*g2^3*t^4.932)/g1 + 2*g2^2*t^4.952 + g1*g2*t^4.971 + g2^12*t^5.709 + (2*g2^2*t^5.962)/g1^2 + (5*g2*t^5.981)/g1 - t^6. + (g1*t^6.019)/g2 + (4*t^6.233)/(g1^3*g2^9) + (3*t^6.252)/(g1^2*g2^10) + (5*t^6.272)/(g1*g2^11) + (3*t^6.291)/g2^12 + (3*g1*t^6.31)/g2^13 + (g1^2*t^6.329)/g2^14 + (g1^3*t^6.348)/g2^15 + (g2^11*t^6.739)/g1 + 3*g2^10*t^6.758 + (3*t^7.01)/g1^2 + (2*t^7.029)/(g1*g2) + (g1^2*t^7.087)/g2^4 + (g2^10*t^7.768)/g1^2 + (3*g2^9*t^7.787)/g1 + 3*g2^8*t^7.806 - g1*g2^7*t^7.825 + (3*t^8.039)/(g1^3*g2) + (7*t^8.059)/(g1^2*g2^2) - (3*t^8.078)/(g1*g2^3) - (3*g1*t^8.116)/g2^5 + (g1^2*t^8.135)/g2^6 + (5*t^8.311)/(g1^4*g2^12) + (4*t^8.33)/(g1^3*g2^13) + (7*t^8.349)/(g1^2*g2^14) + (5*t^8.368)/(g1*g2^15) + (6*t^8.388)/g2^16 + (3*g1*t^8.407)/g2^17 + (3*g1^2*t^8.426)/g2^18 + (g1^3*t^8.445)/g2^19 + (g1^4*t^8.464)/g2^20 + g2^18*t^8.564 + (2*g2^8*t^8.816)/g1^2 + (4*g2^7*t^8.835)/g1 - 2*g2^6*t^8.855 - g1*g2^5*t^8.874 - t^4.048/(g2^2*y) - (2*t^6.126)/(g1*g2^5*y) - t^6.145/(g2^6*y) - (g1*t^6.165)/(g2^7*y) + t^7.156/(g1^2*g2^6*y) + (2*t^7.175)/(g1*g2^7*y) + (2*t^7.194)/(g2^8*y) + (g1*t^7.213)/(g2^9*y) + (3*g2^3*t^7.932)/(g1*y) + (2*g2^2*t^7.952)/y + (3*g1*g2*t^7.971)/y - (3*t^8.204)/(g1^2*g2^8*y) - (2*t^8.223)/(g1*g2^9*y) - (3*t^8.242)/(g2^10*y) - (g1*t^8.261)/(g2^11*y) - (g1^2*t^8.281)/(g2^12*y) + (2*g2^2*t^8.962)/(g1^2*y) + (7*g2*t^8.981)/(g1*y) - (t^4.048*y)/g2^2 - (2*t^6.126*y)/(g1*g2^5) - (t^6.145*y)/g2^6 - (g1*t^6.165*y)/g2^7 + (t^7.156*y)/(g1^2*g2^6) + (2*t^7.175*y)/(g1*g2^7) + (2*t^7.194*y)/g2^8 + (g1*t^7.213*y)/g2^9 + (3*g2^3*t^7.932*y)/g1 + 2*g2^2*t^7.952*y + 3*g1*g2*t^7.971*y - (3*t^8.204*y)/(g1^2*g2^8) - (2*t^8.223*y)/(g1*g2^9) - (3*t^8.242*y)/g2^10 - (g1*t^8.261*y)/g2^11 - (g1^2*t^8.281*y)/g2^12 + (2*g2^2*t^8.962*y)/g1^2 + (7*g2*t^8.981*y)/g1

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
46230	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}^{3}\tilde{q}_{2}^{2}$ + ${ }M_{4}\phi_{1}^{2}$	0.6484	0.7959	0.8147	[M:[0.7108, 0.6962, 0.6962, 1.2965], q:[0.4724, 0.8169], qb:[0.8314, 0.4724], 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

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
45872	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$	0.669	0.8353	0.8009	[M:[0.7026, 0.6881, 0.6965], q:[0.4795, 0.8179], qb:[0.8324, 0.4712], phi:[0.3498]]	t^2.064 + t^2.089 + t^2.099 + t^2.108 + t^2.852 + t^3.867 + t^3.876 + t^3.901 + t^3.926 + t^4.129 + t^4.154 + t^4.163 + t^4.172 + t^4.179 + t^4.188 + 2*t^4.197 + t^4.206 + t^4.216 + t^4.916 + t^4.941 + 2*t^4.951 + t^4.96 + t^5.704 + t^5.931 + t^5.941 + t^5.956 + 2*t^5.966 + t^5.975 + t^5.984 + t^5.991 - 2*t^6. - t^4.049/y - t^4.049*y	detail