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
47247	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }q_{1}q_{2}\tilde{q}_{1}^{2}$ + ${ }M_{3}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{4}\phi_{1}q_{2}^{2}$ + ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{2}$	0.6477	0.8571	0.7557	[M:[0.9554, 0.9554, 0.7009, 0.8661, 0.7835], q:[0.7388, 0.3058], qb:[0.4777, 0.3884], phi:[0.5223]]	[M:[[4], [4], [-18], [12], [-3]], q:[[1], [-5]], qb:[[2], [10]], phi:[[-2]]]	1

Relevant Operators	Marginal Operators	$n_{marginal}$$-$$|F_{IR}|$	Superconformal Index	Refined index
${}q_{2}\tilde{q}_{2}$, ${ }M_{3}$, ${ }M_{5}$, ${ }q_{2}\tilde{q}_{1}$, ${ }M_{4}$, ${ }\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{1}$, ${ }M_{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{2}^{2}\tilde{q}_{2}^{2}$, ${ }M_{3}q_{2}\tilde{q}_{2}$, ${ }M_{3}^{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{5}q_{2}\tilde{q}_{2}$, ${ }q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{3}M_{5}$, ${ }M_{3}q_{2}\tilde{q}_{1}$, ${ }M_{4}q_{2}\tilde{q}_{2}$, ${ }q_{2}\tilde{q}_{1}\tilde{q}_{2}^{2}$, ${ }M_{3}M_{4}$, ${ }M_{5}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }M_{5}q_{2}\tilde{q}_{1}$, ${ }q_{2}^{2}\tilde{q}_{1}^{2}$, ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{4}M_{5}$, ${ }M_{4}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{2}q_{2}\tilde{q}_{2}$, ${ }M_{5}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{2}\tilde{q}_{1}^{2}\tilde{q}_{2}$, ${ }M_{1}M_{3}$, ${ }M_{2}M_{3}$, ${ }M_{4}^{2}$, ${ }M_{4}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\tilde{q}_{1}^{2}\tilde{q}_{2}^{2}$, ${ }M_{1}M_{5}$, ${ }M_{2}M_{5}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{2}q_{2}\tilde{q}_{1}$, ${ }M_{1}M_{4}$, ${ }M_{2}M_{4}$, ${ }M_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{1}q_{2}\tilde{q}_{2}^{2}$, ${ }M_{1}^{2}$, ${ }M_{1}M_{2}$, ${ }M_{2}^{2}$, ${ }M_{5}q_{1}\tilde{q}_{2}$, ${ }M_{4}q_{1}\tilde{q}_{2}$, ${ }q_{1}\tilde{q}_{1}\tilde{q}_{2}^{2}$	${}M_{5}q_{1}\tilde{q}_{1}$	-1	t^2.083 + t^2.103 + 2*t^2.35 + 2*t^2.598 + 2*t^2.866 + t^3.382 + t^3.65 + t^3.917 + 2*t^4.165 + t^4.185 + t^4.205 + 3*t^4.433 + 2*t^4.453 + 2*t^4.681 + 5*t^4.701 + 6*t^4.949 + 2*t^4.969 + 3*t^5.197 + 4*t^5.217 + 5*t^5.464 + 4*t^5.732 + 2*t^5.98 - t^6. + t^6.02 + 4*t^6.248 + t^6.268 + t^6.288 + t^6.308 + 5*t^6.516 + 3*t^6.536 + 2*t^6.556 + 4*t^6.764 + 5*t^6.783 + 5*t^6.803 + 9*t^7.031 + 7*t^7.051 + 2*t^7.071 + 3*t^7.279 + 11*t^7.299 + 3*t^7.319 + 11*t^7.547 + 6*t^7.567 + 4*t^7.795 + 10*t^7.815 + 8*t^8.063 + 3*t^8.083 - 3*t^8.103 + t^8.123 + 10*t^8.33 - 5*t^8.35 + t^8.37 + t^8.39 + t^8.41 + 3*t^8.578 + 2*t^8.598 + 3*t^8.638 + 2*t^8.658 + 7*t^8.846 - 2*t^8.866 + 5*t^8.886 + 5*t^8.906 - t^4.567/y - t^6.67/y - t^6.917/y - t^7.165/y + t^7.185/y + t^7.433/y + (2*t^7.453)/y + (2*t^7.681)/y + (4*t^7.701)/y + (6*t^7.949)/y + (3*t^7.969)/y + t^8.197/y + (5*t^8.217)/y + (6*t^8.464)/y + t^8.484/y + (4*t^8.732)/y + t^8.752/y - t^8.772/y + (2*t^8.98)/y - t^4.567*y - t^6.67*y - t^6.917*y - t^7.165*y + t^7.185*y + t^7.433*y + 2*t^7.453*y + 2*t^7.681*y + 4*t^7.701*y + 6*t^7.949*y + 3*t^7.969*y + t^8.197*y + 5*t^8.217*y + 6*t^8.464*y + t^8.484*y + 4*t^8.732*y + t^8.752*y - t^8.772*y + 2*t^8.98*y	g1^5*t^2.083 + t^2.103/g1^18 + (2*t^2.35)/g1^3 + 2*g1^12*t^2.598 + 2*g1^4*t^2.866 + g1^11*t^3.382 + g1^3*t^3.65 + t^3.917/g1^5 + 2*g1^10*t^4.165 + t^4.185/g1^13 + t^4.205/g1^36 + 3*g1^2*t^4.433 + (2*t^4.453)/g1^21 + 2*g1^17*t^4.681 + (5*t^4.701)/g1^6 + 6*g1^9*t^4.949 + (2*t^4.969)/g1^14 + 3*g1^24*t^5.197 + 4*g1*t^5.217 + 5*g1^16*t^5.464 + 4*g1^8*t^5.732 + 2*g1^23*t^5.98 - t^6. + t^6.02/g1^23 + 4*g1^15*t^6.248 + t^6.268/g1^8 + t^6.288/g1^31 + t^6.308/g1^54 + 5*g1^7*t^6.516 + (3*t^6.536)/g1^16 + (2*t^6.556)/g1^39 + 4*g1^22*t^6.764 + (5*t^6.783)/g1 + (5*t^6.803)/g1^24 + 9*g1^14*t^7.031 + (7*t^7.051)/g1^9 + (2*t^7.071)/g1^32 + 3*g1^29*t^7.279 + 11*g1^6*t^7.299 + (3*t^7.319)/g1^17 + 11*g1^21*t^7.547 + (6*t^7.567)/g1^2 + 4*g1^36*t^7.795 + 10*g1^13*t^7.815 + 8*g1^28*t^8.063 + 3*g1^5*t^8.083 - (3*t^8.103)/g1^18 + t^8.123/g1^41 + 10*g1^20*t^8.33 - (5*t^8.35)/g1^3 + t^8.37/g1^26 + t^8.39/g1^49 + t^8.41/g1^72 + 3*g1^35*t^8.578 + 2*g1^12*t^8.598 + (3*t^8.638)/g1^34 + (2*t^8.658)/g1^57 + 7*g1^27*t^8.846 - 2*g1^4*t^8.866 + (5*t^8.886)/g1^19 + (5*t^8.906)/g1^42 - t^4.567/(g1^2*y) - t^6.67/(g1^20*y) - t^6.917/(g1^5*y) - (g1^10*t^7.165)/y + t^7.185/(g1^13*y) + (g1^2*t^7.433)/y + (2*t^7.453)/(g1^21*y) + (2*g1^17*t^7.681)/y + (4*t^7.701)/(g1^6*y) + (6*g1^9*t^7.949)/y + (3*t^7.969)/(g1^14*y) + (g1^24*t^8.197)/y + (5*g1*t^8.217)/y + (6*g1^16*t^8.464)/y + t^8.484/(g1^7*y) + (4*g1^8*t^8.732)/y + t^8.752/(g1^15*y) - t^8.772/(g1^38*y) + (2*g1^23*t^8.98)/y - (t^4.567*y)/g1^2 - (t^6.67*y)/g1^20 - (t^6.917*y)/g1^5 - g1^10*t^7.165*y + (t^7.185*y)/g1^13 + g1^2*t^7.433*y + (2*t^7.453*y)/g1^21 + 2*g1^17*t^7.681*y + (4*t^7.701*y)/g1^6 + 6*g1^9*t^7.949*y + (3*t^7.969*y)/g1^14 + g1^24*t^8.197*y + 5*g1*t^8.217*y + 6*g1^16*t^8.464*y + (t^8.484*y)/g1^7 + 4*g1^8*t^8.732*y + (t^8.752*y)/g1^15 - (t^8.772*y)/g1^38 + 2*g1^23*t^8.98*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
55652	${}M_{1}q_{1}q_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }q_{1}q_{2}\tilde{q}_{1}^{2}$ + ${ }M_{3}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{4}\phi_{1}q_{2}^{2}$ + ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$	0.6598	0.8774	0.752	[M:[0.9622, 0.9622, 0.6701, 0.8866, 0.7784, 0.854], q:[0.7405, 0.2973], qb:[0.4811, 0.4055], phi:[0.5189]]	t^2.01 + t^2.108 + 2*t^2.335 + t^2.562 + 2*t^2.66 + 2*t^2.887 + t^3.665 + t^3.892 + t^4.021 + t^4.119 + 2*t^4.216 + 2*t^4.345 + 3*t^4.443 + t^4.572 + 6*t^4.67 + 2*t^4.768 + 4*t^4.897 + 6*t^4.995 + t^5.124 + 6*t^5.222 + 3*t^5.32 + t^5.448 + 4*t^5.546 + 2*t^5.773 + t^5.902 - t^6. - t^4.557/y - t^4.557*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
46775	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }q_{1}q_{2}\tilde{q}_{1}^{2}$ + ${ }M_{3}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{4}\phi_{1}q_{2}^{2}$	0.6303	0.8264	0.7627	[M:[0.954, 0.954, 0.707, 0.862], q:[0.7385, 0.3075], qb:[0.477, 0.385], phi:[0.523]]	t^2.078 + t^2.121 + t^2.353 + 2*t^2.586 + 2*t^2.862 + t^3.371 + 2*t^3.647 + t^3.922 + 2*t^4.155 + t^4.198 + t^4.242 + 2*t^4.431 + t^4.474 + 2*t^4.664 + 3*t^4.707 + 4*t^4.94 + 2*t^4.983 + 3*t^5.172 + 2*t^5.216 + 5*t^5.448 + 4*t^5.724 + t^5.767 + 2*t^5.957 - t^6. - t^4.569/y - t^4.569*y	detail