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
48219	SU2adj1nf2	${}\phi_{1}q_{1}^{2}$ + ${ }\phi_{1}^{4}$ + ${ }M_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{2}q_{1}q_{2}$ + ${ }M_{3}q_{1}q_{2}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{5}\phi_{1}\tilde{q}_{2}^{2}$	0.6793	0.8839	0.7685	[M:[1.1134, 0.7732, 0.7732, 0.8866, 0.6804], q:[0.75, 0.4768], qb:[0.3634, 0.4098], phi:[0.5]]	[M:[[-1], [2], [2], [1], [-6]], q:[[0], [-2]], qb:[[-1], [3]], phi:[[0]]]

Relevant Operators	Marginal Operators	$n_{marginal}$$-$$|F_{IR}|$	Superconformal Index	Refined index
${}M_{5}$, ${ }M_{2}$, ${ }M_{3}$, ${ }\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{2}\tilde{q}_{1}$, ${ }M_{4}$, ${ }\phi_{1}^{2}$, ${ }M_{1}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{5}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{2}M_{5}$, ${ }M_{3}M_{5}$, ${ }\phi_{1}q_{2}^{2}$, ${ }M_{5}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{5}q_{2}\tilde{q}_{1}$, ${ }M_{2}^{2}$, ${ }M_{2}M_{3}$, ${ }M_{3}^{2}$, ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\tilde{q}_{1}^{2}\tilde{q}_{2}^{2}$, ${ }M_{4}M_{5}$, ${ }M_{2}q_{2}\tilde{q}_{1}$, ${ }M_{3}q_{2}\tilde{q}_{1}$, ${ }q_{2}\tilde{q}_{1}^{2}\tilde{q}_{2}$, ${ }M_{2}M_{4}$, ${ }M_{3}M_{4}$, ${ }M_{4}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{5}\phi_{1}^{2}$, ${ }q_{2}^{2}\tilde{q}_{1}^{2}$, ${ }M_{4}q_{2}\tilde{q}_{1}$, ${ }M_{4}^{2}$, ${ }M_{2}\phi_{1}^{2}$, ${ }M_{3}\phi_{1}^{2}$, ${ }\phi_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{1}M_{5}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$, ${ }M_{5}q_{1}\tilde{q}_{2}$, ${ }M_{1}M_{2}$, ${ }M_{1}M_{3}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{2}q_{1}\tilde{q}_{2}$, ${ }M_{3}q_{1}\tilde{q}_{2}$, ${ }q_{1}\tilde{q}_{1}\tilde{q}_{2}^{2}$, ${ }M_{5}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$	${}M_{1}M_{4}$	-1	t^2.041 + 3*t^2.32 + t^2.521 + t^2.66 + t^3. + t^3.34 + t^3.479 + t^3.82 + t^4.021 + t^4.083 + t^4.16 + 4*t^4.361 + t^4.562 + 6*t^4.639 + t^4.701 + 3*t^4.84 + 3*t^4.979 + 2*t^5.041 + t^5.18 + 4*t^5.32 + t^5.382 + 2*t^5.521 + 3*t^5.66 + 2*t^5.799 + t^5.861 - t^6. + t^6.062 + t^6.124 + 3*t^6.139 + 2*t^6.34 + 4*t^6.402 + 3*t^6.479 + t^6.541 + t^6.603 + 9*t^6.68 + t^6.742 + t^6.82 + 4*t^6.882 + 10*t^6.959 + 3*t^7.021 + 2*t^7.083 + 4*t^7.16 + t^7.222 + 5*t^7.299 + 6*t^7.361 + t^7.423 + t^7.5 + 3*t^7.562 + 8*t^7.639 + 3*t^7.701 + 4*t^7.84 + t^7.902 + 6*t^7.979 + t^8.103 + 3*t^8.118 + t^8.165 + 3*t^8.18 - 4*t^8.32 + 3*t^8.382 + 4*t^8.443 + 5*t^8.459 - t^8.521 + t^8.583 + t^8.645 + 9*t^8.722 + t^8.784 + 5*t^8.799 + t^8.861 + 4*t^8.923 - t^4.5/y - t^6.541/y - (2*t^6.82)/y + (3*t^7.361)/y + t^7.562/y + (3*t^7.639)/y + t^7.701/y + (3*t^7.84)/y + (3*t^7.979)/y + t^8.041/y + (3*t^8.18)/y + (3*t^8.32)/y + t^8.382/y + t^8.459/y + (2*t^8.521)/y - t^8.583/y + (4*t^8.66)/y + (3*t^8.799)/y - t^4.5*y - t^6.541*y - 2*t^6.82*y + 3*t^7.361*y + t^7.562*y + 3*t^7.639*y + t^7.701*y + 3*t^7.84*y + 3*t^7.979*y + t^8.041*y + 3*t^8.18*y + 3*t^8.32*y + t^8.382*y + t^8.459*y + 2*t^8.521*y - t^8.583*y + 4*t^8.66*y + 3*t^8.799*y	t^2.041/g1^6 + 3*g1^2*t^2.32 + t^2.521/g1^3 + g1*t^2.66 + t^3. + t^3.34/g1 + g1^3*t^3.479 + g1^2*t^3.82 + t^4.021/g1^3 + t^4.083/g1^12 + g1*t^4.16 + (4*t^4.361)/g1^4 + t^4.562/g1^9 + 6*g1^4*t^4.639 + t^4.701/g1^5 + (3*t^4.84)/g1 + 3*g1^3*t^4.979 + (2*t^5.041)/g1^6 + t^5.18/g1^2 + 4*g1^2*t^5.32 + t^5.382/g1^7 + (2*t^5.521)/g1^3 + 3*g1*t^5.66 + 2*g1^5*t^5.799 + t^5.861/g1^4 - t^6. + t^6.062/g1^9 + t^6.124/g1^18 + 3*g1^4*t^6.139 + (2*t^6.34)/g1 + (4*t^6.402)/g1^10 + 3*g1^3*t^6.479 + t^6.541/g1^6 + t^6.603/g1^15 + (9*t^6.68)/g1^2 + t^6.742/g1^11 + g1^2*t^6.82 + (4*t^6.882)/g1^7 + 10*g1^6*t^6.959 + (3*t^7.021)/g1^3 + (2*t^7.083)/g1^12 + 4*g1*t^7.16 + t^7.222/g1^8 + 5*g1^5*t^7.299 + (6*t^7.361)/g1^4 + t^7.423/g1^13 + t^7.5 + (3*t^7.562)/g1^9 + 8*g1^4*t^7.639 + (3*t^7.701)/g1^5 + (4*t^7.84)/g1 + t^7.902/g1^10 + 6*g1^3*t^7.979 + t^8.103/g1^15 + 3*g1^7*t^8.118 + t^8.165/g1^24 + (3*t^8.18)/g1^2 - 4*g1^2*t^8.32 + (3*t^8.382)/g1^7 + (4*t^8.443)/g1^16 + 5*g1^6*t^8.459 - t^8.521/g1^3 + t^8.583/g1^12 + t^8.645/g1^21 + (9*t^8.722)/g1^8 + t^8.784/g1^17 + 5*g1^5*t^8.799 + t^8.861/g1^4 + (4*t^8.923)/g1^13 - t^4.5/y - t^6.541/(g1^6*y) - (2*g1^2*t^6.82)/y + (3*t^7.361)/(g1^4*y) + t^7.562/(g1^9*y) + (3*g1^4*t^7.639)/y + t^7.701/(g1^5*y) + (3*t^7.84)/(g1*y) + (3*g1^3*t^7.979)/y + t^8.041/(g1^6*y) + (3*t^8.18)/(g1^2*y) + (3*g1^2*t^8.32)/y + t^8.382/(g1^7*y) + (g1^6*t^8.459)/y + (2*t^8.521)/(g1^3*y) - t^8.583/(g1^12*y) + (4*g1*t^8.66)/y + (3*g1^5*t^8.799)/y - t^4.5*y - (t^6.541*y)/g1^6 - 2*g1^2*t^6.82*y + (3*t^7.361*y)/g1^4 + (t^7.562*y)/g1^9 + 3*g1^4*t^7.639*y + (t^7.701*y)/g1^5 + (3*t^7.84*y)/g1 + 3*g1^3*t^7.979*y + (t^8.041*y)/g1^6 + (3*t^8.18*y)/g1^2 + 3*g1^2*t^8.32*y + (t^8.382*y)/g1^7 + g1^6*t^8.459*y + (2*t^8.521*y)/g1^3 - (t^8.583*y)/g1^12 + 4*g1*t^8.66*y + 3*g1^5*t^8.799*y

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
55954	${}\phi_{1}q_{1}^{2}$ + ${ }\phi_{1}^{4}$ + ${ }M_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{2}q_{1}q_{2}$ + ${ }M_{3}q_{1}q_{2}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{5}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{1}M_{6}$	0.6896	0.9011	0.7652	[M:[1.1151, 0.7698, 0.7698, 0.8849, 0.6905, 0.8849], q:[0.75, 0.4802], qb:[0.3651, 0.4048], phi:[0.5]]	t^2.071 + 3*t^2.31 + t^2.536 + 2*t^2.655 + t^3. + t^3.464 + t^3.81 + t^4.036 + t^4.143 + t^4.155 + 4*t^4.381 + t^4.607 + 6*t^4.619 + 2*t^4.726 + 3*t^4.845 + 6*t^4.964 + 2*t^5.071 + 2*t^5.19 + 6*t^5.31 + 2*t^5.536 + t^5.655 + 2*t^5.774 - 2*t^6. - t^4.5/y - t^4.5*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
46659	SU2adj1nf2	${}\phi_{1}q_{1}^{2}$ + ${ }\phi_{1}^{4}$ + ${ }M_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{2}q_{1}q_{2}$ + ${ }M_{3}q_{1}q_{2}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$	0.6585	0.8435	0.7807	[M:[1.1149, 0.7702, 0.7702, 0.8851], q:[0.75, 0.4798], qb:[0.3649, 0.4053], phi:[0.5]]	3*t^2.311 + t^2.534 + t^2.655 + t^3. + t^3.345 + t^3.466 + t^3.811 + t^3.932 + t^4.034 + t^4.155 + t^4.379 + 6*t^4.621 + 3*t^4.845 + 3*t^4.966 + t^5.068 + t^5.189 + 4*t^5.311 + t^5.534 + 3*t^5.655 + 2*t^5.776 - t^6. - t^4.5/y - t^4.5*y	detail