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
4471	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{2}M_{4}$ + ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{5}M_{6}$ + ${ }M_{7}q_{1}\tilde{q}_{1}$ + ${ }M_{8}\phi_{1}q_{2}^{2}$	0.62	0.8023	0.7727	[M:[0.9554, 1.1337, 1.0446, 0.8663, 0.7389, 1.2611, 0.828, 0.8663], q:[0.7389, 0.3057], qb:[0.4331, 0.4331], phi:[0.5223]]	[M:[[4], [-12], [-4], [12], [1], [-1], [-7], [12]], q:[[1], [-5]], qb:[[6], [6]], phi:[[-2]]]	1

Relevant Operators	Marginal Operators	$n_{marginal}$$-$$|F_{IR}|$	Superconformal Index	Refined index
${}q_{2}\tilde{q}_{1}$, ${ }q_{2}\tilde{q}_{2}$, ${ }M_{7}$, ${ }M_{4}$, ${ }M_{8}$, ${ }M_{3}$, ${ }\phi_{1}^{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }M_{6}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }q_{2}^{2}\tilde{q}_{1}^{2}$, ${ }q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{2}^{2}\tilde{q}_{2}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }M_{7}q_{2}\tilde{q}_{1}$, ${ }M_{7}q_{2}\tilde{q}_{2}$, ${ }M_{4}q_{2}\tilde{q}_{1}$, ${ }M_{8}q_{2}\tilde{q}_{1}$, ${ }M_{4}q_{2}\tilde{q}_{2}$, ${ }M_{8}q_{2}\tilde{q}_{2}$, ${ }M_{7}^{2}$, ${ }M_{4}M_{7}$, ${ }M_{7}M_{8}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{4}^{2}$, ${ }M_{4}M_{8}$, ${ }M_{8}^{2}$, ${ }M_{3}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$, ${ }M_{3}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$, ${ }M_{3}M_{4}$, ${ }M_{3}M_{8}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{8}\phi_{1}^{2}$, ${ }q_{1}q_{2}\tilde{q}_{2}^{2}$	${}M_{6}q_{2}\tilde{q}_{1}$, ${ }M_{7}q_{1}\tilde{q}_{2}$, ${ }M_{6}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}^{2}\tilde{q}_{2}^{2}$	-1	2*t^2.217 + t^2.484 + 2*t^2.599 + 2*t^3.134 + t^3.516 + 2*t^3.783 + 3*t^4.166 + 3*t^4.433 + 2*t^4.701 + 4*t^4.815 + t^4.968 + 2*t^5.083 + 3*t^5.198 + 4*t^5.35 + 5*t^5.733 - t^6. + 2*t^6.115 + 3*t^6.267 + 6*t^6.382 + 5*t^6.65 + 6*t^6.764 + 3*t^6.917 + 4*t^7.032 + 7*t^7.299 + 6*t^7.414 + t^7.452 + 3*t^7.567 + 4*t^7.682 + 4*t^7.796 + 9*t^7.949 - 5*t^8.217 + 13*t^8.331 + t^8.484 - t^8.599 + 3*t^8.714 - t^8.752 + 8*t^8.866 + 10*t^8.981 - t^4.567/y - t^7.051/y - t^7.166/y + (2*t^7.433)/y + t^7.701/y + (4*t^7.815)/y + t^7.968/y + (3*t^8.083)/y + t^8.198/y + (4*t^8.35)/y + (2*t^8.618)/y + (6*t^8.733)/y - t^4.567*y - t^7.051*y - t^7.166*y + 2*t^7.433*y + t^7.701*y + 4*t^7.815*y + t^7.968*y + 3*t^8.083*y + t^8.198*y + 4*t^8.35*y + 2*t^8.618*y + 6*t^8.733*y	2*g1*t^2.217 + t^2.484/g1^7 + 2*g1^12*t^2.599 + (2*t^3.134)/g1^4 + g1^7*t^3.516 + (2*t^3.783)/g1 + 3*g1^10*t^4.166 + 3*g1^2*t^4.433 + (2*t^4.701)/g1^6 + 4*g1^13*t^4.815 + t^4.968/g1^14 + 2*g1^5*t^5.083 + 3*g1^24*t^5.198 + (4*t^5.35)/g1^3 + 5*g1^8*t^5.733 - t^6. + 2*g1^19*t^6.115 + (3*t^6.267)/g1^8 + 6*g1^11*t^6.382 + 5*g1^3*t^6.65 + 6*g1^22*t^6.764 + (3*t^6.917)/g1^5 + 4*g1^14*t^7.032 + 7*g1^6*t^7.299 + 6*g1^25*t^7.414 + t^7.452/g1^21 + (3*t^7.567)/g1^2 + 4*g1^17*t^7.682 + 4*g1^36*t^7.796 + 9*g1^9*t^7.949 - 5*g1*t^8.217 + 13*g1^20*t^8.331 + t^8.484/g1^7 - g1^12*t^8.599 + 3*g1^31*t^8.714 - t^8.752/g1^15 + 8*g1^4*t^8.866 + 10*g1^23*t^8.981 - t^4.567/(g1^2*y) - t^7.051/(g1^9*y) - (g1^10*t^7.166)/y + (2*g1^2*t^7.433)/y + t^7.701/(g1^6*y) + (4*g1^13*t^7.815)/y + t^7.968/(g1^14*y) + (3*g1^5*t^8.083)/y + (g1^24*t^8.198)/y + (4*t^8.35)/(g1^3*y) + (2*t^8.618)/(g1^11*y) + (6*g1^8*t^8.733)/y - (t^4.567*y)/g1^2 - (t^7.051*y)/g1^9 - g1^10*t^7.166*y + 2*g1^2*t^7.433*y + (t^7.701*y)/g1^6 + 4*g1^13*t^7.815*y + (t^7.968*y)/g1^14 + 3*g1^5*t^8.083*y + g1^24*t^8.198*y + (4*t^8.35*y)/g1^3 + (2*t^8.618*y)/g1^11 + 6*g1^8*t^8.733*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
5970	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{2}M_{4}$ + ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{5}M_{6}$ + ${ }M_{7}q_{1}\tilde{q}_{1}$ + ${ }M_{8}\phi_{1}q_{2}^{2}$ + ${ }M_{9}q_{1}\tilde{q}_{2}$	0.6351	0.8273	0.7677	[M:[0.9627, 1.112, 1.0373, 0.888, 0.7407, 1.2593, 0.8153, 0.888, 0.8153], q:[0.7407, 0.2966], qb:[0.444, 0.444], phi:[0.5187]]	2*t^2.222 + 2*t^2.446 + 2*t^2.664 + 2*t^3.112 + 2*t^3.778 + 3*t^4.22 + 3*t^4.444 + 4*t^4.668 + 4*t^4.886 + 3*t^4.892 + 4*t^5.11 + 3*t^5.328 + 4*t^5.334 + 2*t^5.558 + 3*t^5.776 - 2*t^6. - t^4.556/y - t^4.556*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
2428	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{2}M_{4}$ + ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{5}M_{6}$ + ${ }M_{7}q_{1}\tilde{q}_{1}$	0.6101	0.7833	0.7789	[M:[0.9726, 1.0823, 1.0274, 0.9177, 0.7431, 1.2569, 0.798], q:[0.7431, 0.2843], qb:[0.4589, 0.4589], phi:[0.5137]]	2*t^2.229 + t^2.394 + t^2.753 + 2*t^3.082 + t^3.247 + t^3.606 + 2*t^3.771 + 3*t^4.294 + 3*t^4.459 + 2*t^4.623 + t^4.788 + 2*t^4.983 + t^5.147 + 4*t^5.312 + 2*t^5.476 + t^5.506 + t^5.641 + 3*t^5.835 - t^4.541/y - t^4.541*y	detail