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
2858	SU2adj1nf2	${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}^{4}$ + ${ }M_{2}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{5}q_{1}q_{2}$ + ${ }M_{6}q_{1}\tilde{q}_{1}$	0.7076	0.9351	0.7567	[M:[1.1397, 0.7206, 0.6801, 0.6801, 0.8199, 0.8199], q:[0.75, 0.4301], qb:[0.4301, 0.3897], phi:[0.5]]	[M:[[2], [-4], [-1], [-1], [1], [1]], q:[[0], [-1]], qb:[[-1], [2]], phi:[[0]]]	1

Relevant Operators	Marginal Operators	$n_{marginal}$$-$$|F_{IR}|$	Superconformal Index	Refined index
${}M_{3}$, ${ }M_{4}$, ${ }M_{2}$, ${ }M_{5}$, ${ }M_{6}$, ${ }q_{2}\tilde{q}_{2}$, ${ }\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{2}$, ${ }M_{1}$, ${ }q_{1}\tilde{q}_{2}$, ${ }M_{3}^{2}$, ${ }M_{3}M_{4}$, ${ }M_{4}^{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{2}M_{3}$, ${ }M_{2}M_{4}$, ${ }M_{2}^{2}$, ${ }M_{3}M_{5}$, ${ }M_{4}M_{5}$, ${ }M_{3}M_{6}$, ${ }M_{4}M_{6}$, ${ }M_{3}q_{2}\tilde{q}_{2}$, ${ }M_{4}q_{2}\tilde{q}_{2}$, ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{4}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{2}M_{5}$, ${ }M_{2}M_{6}$, ${ }M_{2}q_{2}\tilde{q}_{2}$, ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{5}^{2}$, ${ }M_{5}M_{6}$, ${ }M_{6}^{2}$, ${ }M_{5}q_{2}\tilde{q}_{2}$, ${ }M_{6}q_{2}\tilde{q}_{2}$, ${ }M_{5}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{6}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{2}^{2}\tilde{q}_{2}^{2}$, ${ }q_{2}\tilde{q}_{1}\tilde{q}_{2}^{2}$, ${ }\tilde{q}_{1}^{2}\tilde{q}_{2}^{2}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{2}\phi_{1}^{2}$, ${ }M_{1}M_{3}$, ${ }M_{1}M_{4}$, ${ }M_{5}\phi_{1}^{2}$, ${ }M_{6}\phi_{1}^{2}$, ${ }M_{3}q_{1}\tilde{q}_{2}$, ${ }M_{4}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{1}M_{2}$, ${ }M_{2}q_{1}\tilde{q}_{2}$, ${ }M_{1}M_{5}$, ${ }M_{1}M_{6}$, ${ }M_{5}q_{1}\tilde{q}_{2}$, ${ }M_{6}q_{1}\tilde{q}_{2}$, ${ }q_{1}q_{2}\tilde{q}_{2}^{2}$, ${ }q_{1}\tilde{q}_{1}\tilde{q}_{2}^{2}$	${}$	-5	2*t^2.04 + t^2.162 + 4*t^2.46 + t^3. + 2*t^3.419 + 6*t^4.081 + 2*t^4.202 + t^4.323 + 8*t^4.5 + 4*t^4.621 + 10*t^4.919 + 2*t^5.04 + t^5.162 + 8*t^5.46 + 2*t^5.581 + 6*t^5.879 - 5*t^6. + 8*t^6.121 + 6*t^6.243 + 2*t^6.364 + t^6.485 + 20*t^6.54 + 8*t^6.662 + 4*t^6.783 + 2*t^6.838 + 16*t^6.96 + 12*t^7.081 + 2*t^7.202 + t^7.323 + 16*t^7.379 + 12*t^7.5 + 4*t^7.621 + 2*t^7.743 + 18*t^7.919 - 8*t^8.04 + 10*t^8.162 + 8*t^8.283 + 12*t^8.338 + 6*t^8.404 - 20*t^8.46 + 2*t^8.525 + 24*t^8.581 + t^8.647 + 20*t^8.702 + 8*t^8.823 + 2*t^8.879 + 4*t^8.945 - t^4.5/y - (2*t^6.54)/y - t^6.662/y - (2*t^6.96)/y + (2*t^7.081)/y + (2*t^7.202)/y + (8*t^7.5)/y + (4*t^7.621)/y + (5*t^7.919)/y + (4*t^8.04)/y + t^8.162/y + t^8.338/y + (10*t^8.46)/y - t^8.581/y - (2*t^8.702)/y - t^8.823/y + (8*t^8.879)/y - t^4.5*y - 2*t^6.54*y - t^6.662*y - 2*t^6.96*y + 2*t^7.081*y + 2*t^7.202*y + 8*t^7.5*y + 4*t^7.621*y + 5*t^7.919*y + 4*t^8.04*y + t^8.162*y + t^8.338*y + 10*t^8.46*y - t^8.581*y - 2*t^8.702*y - t^8.823*y + 8*t^8.879*y	(2*t^2.04)/g1 + t^2.162/g1^4 + 4*g1*t^2.46 + t^3. + 2*g1^2*t^3.419 + (6*t^4.081)/g1^2 + (2*t^4.202)/g1^5 + t^4.323/g1^8 + 8*t^4.5 + (4*t^4.621)/g1^3 + 10*g1^2*t^4.919 + (2*t^5.04)/g1 + t^5.162/g1^4 + 8*g1*t^5.46 + (2*t^5.581)/g1^2 + 6*g1^3*t^5.879 - 5*t^6. + (8*t^6.121)/g1^3 + (6*t^6.243)/g1^6 + (2*t^6.364)/g1^9 + t^6.485/g1^12 + (20*t^6.54)/g1 + (8*t^6.662)/g1^4 + (4*t^6.783)/g1^7 + 2*g1^4*t^6.838 + 16*g1*t^6.96 + (12*t^7.081)/g1^2 + (2*t^7.202)/g1^5 + t^7.323/g1^8 + 16*g1^3*t^7.379 + 12*t^7.5 + (4*t^7.621)/g1^3 + (2*t^7.743)/g1^6 + 18*g1^2*t^7.919 - (8*t^8.04)/g1 + (10*t^8.162)/g1^4 + (8*t^8.283)/g1^7 + 12*g1^4*t^8.338 + (6*t^8.404)/g1^10 - 20*g1*t^8.46 + (2*t^8.525)/g1^13 + (24*t^8.581)/g1^2 + t^8.647/g1^16 + (20*t^8.702)/g1^5 + (8*t^8.823)/g1^8 + 2*g1^3*t^8.879 + (4*t^8.945)/g1^11 - t^4.5/y - (2*t^6.54)/(g1*y) - t^6.662/(g1^4*y) - (2*g1*t^6.96)/y + (2*t^7.081)/(g1^2*y) + (2*t^7.202)/(g1^5*y) + (8*t^7.5)/y + (4*t^7.621)/(g1^3*y) + (5*g1^2*t^7.919)/y + (4*t^8.04)/(g1*y) + t^8.162/(g1^4*y) + (g1^4*t^8.338)/y + (10*g1*t^8.46)/y - t^8.581/(g1^2*y) - (2*t^8.702)/(g1^5*y) - t^8.823/(g1^8*y) + (8*g1^3*t^8.879)/y - t^4.5*y - (2*t^6.54*y)/g1 - (t^6.662*y)/g1^4 - 2*g1*t^6.96*y + (2*t^7.081*y)/g1^2 + (2*t^7.202*y)/g1^5 + 8*t^7.5*y + (4*t^7.621*y)/g1^3 + 5*g1^2*t^7.919*y + (4*t^8.04*y)/g1 + (t^8.162*y)/g1^4 + g1^4*t^8.338*y + 10*g1*t^8.46*y - (t^8.581*y)/g1^2 - (2*t^8.702*y)/g1^5 - (t^8.823*y)/g1^8 + 8*g1^3*t^8.879*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
3423	${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}^{4}$ + ${ }M_{2}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{5}q_{1}q_{2}$ + ${ }M_{6}q_{1}\tilde{q}_{1}$ + ${ }M_{1}M_{7}$	0.7205	0.9585	0.7517	[M:[1.154, 0.692, 0.673, 0.673, 0.827, 0.827, 0.846], q:[0.75, 0.423], qb:[0.423, 0.404], phi:[0.5]]	2*t^2.019 + t^2.076 + 4*t^2.481 + t^2.538 + t^3. + t^3.462 + 6*t^4.038 + 2*t^4.095 + t^4.152 + 8*t^4.5 + 6*t^4.557 + t^4.614 + 10*t^4.962 + 6*t^5.019 + 2*t^5.076 + 6*t^5.481 + 2*t^5.538 + 2*t^5.943 - 4*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
1838	SU2adj1nf2	${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}^{4}$ + ${ }M_{2}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{5}q_{1}q_{2}$	0.6925	0.9093	0.7615	[M:[1.1463, 0.7074, 0.6769, 0.6769, 0.8231], q:[0.75, 0.4269], qb:[0.4269, 0.3963], phi:[0.5]]	2*t^2.031 + t^2.122 + 3*t^2.469 + t^3. + 2*t^3.439 + t^3.531 + 6*t^4.061 + 2*t^4.153 + t^4.244 + 6*t^4.5 + 3*t^4.592 + 6*t^4.939 + 2*t^5.031 + t^5.122 + 7*t^5.469 + 4*t^5.561 + t^5.653 + 4*t^5.908 - 2*t^6. - t^4.5/y - t^4.5*y	detail