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
2041	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{2}M_{4}$ + ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{5}\phi_{1}q_{2}^{2}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$	0.6256	0.8271	0.7564	[M:[0.9254, 1.2239, 0.9254, 0.7761, 0.7761, 0.8358], q:[0.7313, 0.3433], qb:[0.3433, 0.4328], phi:[0.5373]]	[M:[[4], [-12], [4], [12], [12], [-18]], q:[[1], [-5]], qb:[[-5], [17]], phi:[[-2]]]	1

Relevant Operators	Marginal Operators	$n_{marginal}$$-$$|F_{IR}|$	Superconformal Index	Refined index
${}q_{2}\tilde{q}_{1}$, ${ }M_{4}$, ${ }M_{5}$, ${ }q_{2}\tilde{q}_{2}$, ${ }M_{6}$, ${ }M_{1}$, ${ }M_{3}$, ${ }q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{2}^{2}\tilde{q}_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{4}q_{2}\tilde{q}_{1}$, ${ }M_{5}q_{2}\tilde{q}_{1}$, ${ }q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{6}q_{2}\tilde{q}_{1}$, ${ }M_{4}^{2}$, ${ }M_{4}M_{5}$, ${ }M_{5}^{2}$, ${ }M_{4}q_{2}\tilde{q}_{2}$, ${ }M_{5}q_{2}\tilde{q}_{2}$, ${ }q_{2}^{2}\tilde{q}_{2}^{2}$, ${ }M_{4}M_{6}$, ${ }M_{5}M_{6}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{3}q_{2}\tilde{q}_{1}$, ${ }M_{6}q_{2}\tilde{q}_{2}$, ${ }M_{6}^{2}$, ${ }M_{1}M_{4}$, ${ }M_{3}M_{4}$, ${ }M_{1}M_{5}$, ${ }M_{3}M_{5}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{3}q_{2}\tilde{q}_{2}$, ${ }M_{1}M_{6}$, ${ }M_{3}M_{6}$, ${ }q_{1}q_{2}\tilde{q}_{1}^{2}$, ${ }M_{1}^{2}$, ${ }M_{1}M_{3}$, ${ }M_{3}^{2}$, ${ }M_{4}q_{1}\tilde{q}_{1}$, ${ }M_{5}q_{1}\tilde{q}_{1}$, ${ }M_{6}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}^{3}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}^{3}$	${}M_{4}\phi_{1}q_{2}^{2}$, ${ }M_{3}q_{1}\tilde{q}_{1}$, ${ }M_{4}\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{5}\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}q_{2}^{3}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}^{2}\tilde{q}_{2}$	3	t^2.06 + 3*t^2.328 + t^2.508 + 2*t^2.776 + t^3.224 + 2*t^3.672 + 2*t^3.94 + t^4.119 + t^4.209 + 3*t^4.388 + t^4.567 + 6*t^4.657 + 5*t^4.836 + t^5.015 + 6*t^5.104 + 3*t^5.284 + 5*t^5.552 + t^5.731 + 3*t^6. + 3*t^6.179 + 4*t^6.269 + 5*t^6.448 + 3*t^6.537 + t^6.627 + 8*t^6.716 + 4*t^6.896 + 11*t^6.985 + t^7.075 + 8*t^7.164 + 6*t^7.343 + 11*t^7.433 + t^7.523 + 7*t^7.612 + 3*t^7.791 + 11*t^7.881 + 2*t^8.06 + 2*t^8.149 + 2*t^8.239 + 3*t^8.328 + t^8.418 + 2*t^8.508 + 6*t^8.597 + 3*t^8.687 + t^8.776 + 6*t^8.865 + 5*t^8.955 - t^4.612/y - t^6.94/y - t^7.119/y + (2*t^7.388)/y + t^7.567/y + (3*t^7.657)/y + (6*t^7.836)/y + (7*t^8.104)/y + (4*t^8.284)/y + (4*t^8.552)/y + (3*t^8.731)/y - t^4.612*y - t^6.94*y - t^7.119*y + 2*t^7.388*y + t^7.567*y + 3*t^7.657*y + 6*t^7.836*y + 7*t^8.104*y + 4*t^8.284*y + 4*t^8.552*y + 3*t^8.731*y	t^2.06/g1^10 + 3*g1^12*t^2.328 + t^2.508/g1^18 + 2*g1^4*t^2.776 + t^3.224/g1^4 + (2*t^3.672)/g1^12 + 2*g1^10*t^3.94 + t^4.119/g1^20 + g1^32*t^4.209 + 3*g1^2*t^4.388 + t^4.567/g1^28 + 6*g1^24*t^4.657 + (5*t^4.836)/g1^6 + t^5.015/g1^36 + 6*g1^16*t^5.104 + (3*t^5.284)/g1^14 + 5*g1^8*t^5.552 + t^5.731/g1^22 + 3*t^6. + (3*t^6.179)/g1^30 + 4*g1^22*t^6.269 + (5*t^6.448)/g1^8 + 3*g1^44*t^6.537 + t^6.627/g1^38 + 8*g1^14*t^6.716 + (4*t^6.896)/g1^16 + 11*g1^36*t^6.985 + t^7.075/g1^46 + 8*g1^6*t^7.164 + (6*t^7.343)/g1^24 + 11*g1^28*t^7.433 + t^7.523/g1^54 + (7*t^7.612)/g1^2 + (3*t^7.791)/g1^32 + 11*g1^20*t^7.881 + (2*t^8.06)/g1^10 + 2*g1^42*t^8.149 + (2*t^8.239)/g1^40 + 3*g1^12*t^8.328 + g1^64*t^8.418 + (2*t^8.508)/g1^18 + 6*g1^34*t^8.597 + (3*t^8.687)/g1^48 + g1^4*t^8.776 + 6*g1^56*t^8.865 + (5*t^8.955)/g1^26 - t^4.612/(g1^2*y) - (g1^10*t^6.94)/y - t^7.119/(g1^20*y) + (2*g1^2*t^7.388)/y + t^7.567/(g1^28*y) + (3*g1^24*t^7.657)/y + (6*t^7.836)/(g1^6*y) + (7*g1^16*t^8.104)/y + (4*t^8.284)/(g1^14*y) + (4*g1^8*t^8.552)/y + (3*t^8.731)/(g1^22*y) - (t^4.612*y)/g1^2 - g1^10*t^6.94*y - (t^7.119*y)/g1^20 + 2*g1^2*t^7.388*y + (t^7.567*y)/g1^28 + 3*g1^24*t^7.657*y + (6*t^7.836*y)/g1^6 + 7*g1^16*t^8.104*y + (4*t^8.284*y)/g1^14 + 4*g1^8*t^8.552*y + (3*t^8.731*y)/g1^22

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
3112	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{2}M_{4}$ + ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{5}\phi_{1}q_{2}^{2}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{7}\phi_{1}q_{2}^{2}$	0.6437	0.8602	0.7483	[M:[0.9226, 1.2323, 0.9226, 0.7677, 0.7677, 0.8485, 0.7677], q:[0.7306, 0.3468], qb:[0.3468, 0.4209], phi:[0.5387]]	t^2.081 + 4*t^2.303 + t^2.545 + 2*t^2.768 + t^3.232 + t^3.697 + 2*t^3.919 + t^4.142 + t^4.162 + 4*t^4.384 + 10*t^4.606 + t^4.626 + 6*t^4.848 + 8*t^5.071 + t^5.091 + 3*t^5.313 + 6*t^5.535 + t^6. - t^4.616/y - t^4.616*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
854	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{2}M_{4}$ + ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{5}\phi_{1}q_{2}^{2}$	0.6126	0.807	0.7591	[M:[0.9185, 1.2444, 0.9185, 0.7556, 0.7556], q:[0.7296, 0.3518], qb:[0.3518, 0.4038], phi:[0.5407]]	t^2.111 + 3*t^2.267 + 2*t^2.756 + t^3.244 + t^3.4 + 2*t^3.733 + 2*t^3.889 + t^4.045 + t^4.222 + 3*t^4.378 + 6*t^4.534 + 2*t^4.867 + 6*t^5.022 + t^5.355 + 6*t^5.511 + 3*t^5.667 + 3*t^6. - t^4.622/y - t^4.622*y	detail