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
58749	SU3adj1nf2	${}\phi_{1}^{4}$ + ${ }q_{1}\tilde{q}_{1}X_{1}$ + ${ }q_{2}\tilde{q}_{1}X_{2}$ + ${ }q_{1}\tilde{q}_{2}X_{3}$ + ${ }q_{2}\tilde{q}_{2}X_{4}$ + ${ }M_{1}\phi_{1}q_{1}^{2}q_{2}$ + ${ }M_{2}\phi_{1}q_{1}q_{2}^{2}$ + ${ }M_{2}\phi_{1}q_{1}\tilde{q}_{1}$	0.9784	1.1912	0.8214	[X:[1.3748, 1.529, 1.471, 1.6252], M:[0.7207, 0.8748], q:[0.3112, 0.157], qb:[0.314, 0.2178], phi:[0.5]]	[X:[[0, -1], [-3, 0], [3, 0], [0, 1]], M:[[3, -2], [0, -1]], q:[[-2, 1], [1, 0]], qb:[[2, 0], [-1, -1]], phi:[[0, 0]]]	2

Relevant Operators	Marginal Operators	$n_{marginal}$$-$$|F_{IR}|$	Superconformal Index	Refined index
${}M_{1}$, ${ }M_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$, ${ }X_{1}$, ${ }M_{1}^{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$, ${ }X_{3}$, ${ }\phi_{1}^{3}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{2}$, ${ }X_{2}$, ${ }M_{1}M_{2}$, ${ }M_{1}\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{1}q_{2}^{2}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{1}$, ${ }X_{4}$, ${ }M_{1}\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{1}\phi_{1}^{2}$, ${ }M_{2}^{2}$, ${ }M_{1}\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{2}\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{2}^{2}\tilde{q}_{2}^{2}$, ${ }\phi_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}^{2}q_{1}^{2}q_{2}$, ${ }M_{1}\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{2}\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{2}\tilde{q}_{1}^{2}\tilde{q}_{2}$, ${ }M_{2}\phi_{1}^{2}$, ${ }M_{2}\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{1}q_{2}\tilde{q}_{2}^{2}$, ${ }\phi_{1}^{2}q_{2}^{2}\tilde{q}_{1}^{2}$, ${ }\phi_{1}^{3}q_{2}^{3}$, ${ }M_{1}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}^{2}$	${}\phi_{1}^{2}q_{1}q_{2}\tilde{q}_{1}\tilde{q}_{2}$	-1	t^2.16 + 2*t^2.62 + t^2.91 + t^3. + t^3.09 + t^3.38 + t^3.75 + t^4.04 + 2*t^4.12 + t^4.32 + 2*t^4.41 + t^4.5 + 2*t^4.59 + 2*t^4.79 + 3*t^4.88 + t^5.07 + t^5.16 + 5*t^5.25 + t^5.34 + 3*t^5.54 + t^5.62 + t^5.71 + t^5.83 + 2*t^5.91 - t^6. + t^6.17 + t^6.2 + 2*t^6.29 + 2*t^6.37 - t^6.46 + t^6.49 + 2*t^6.57 + 2*t^6.66 + 6*t^6.75 + t^6.84 + 3*t^6.95 + 9*t^7.04 + 2*t^7.12 + 5*t^7.21 + t^7.24 + t^7.3 + t^7.32 + 3*t^7.33 + 6*t^7.41 + 9*t^7.5 + t^7.59 + 2*t^7.67 + 3*t^7.7 + 4*t^7.79 + 7*t^7.87 + t^7.96 + t^7.99 + 3*t^8.07 + 3*t^8.16 + 4*t^8.25 + 2*t^8.34 + t^8.36 - t^8.43 + 4*t^8.45 + 5*t^8.54 - 5*t^8.62 + t^8.65 + 3*t^8.74 + 2*t^8.82 + 3*t^8.83 + 2*t^8.91 - t^4.5/y - t^6./y - t^6.66/y - t^7.12/y + t^7.5/y + (2*t^7.79)/y + t^7.88/y + t^8.07/y + (2*t^8.25)/y + t^8.34/y + (3*t^8.54)/y - t^8.62/y + (2*t^8.71)/y - t^8.82/y - t^4.5*y - t^6.*y - t^6.66*y - t^7.12*y + t^7.5*y + 2*t^7.79*y + t^7.88*y + t^8.07*y + 2*t^8.25*y + t^8.34*y + 3*t^8.54*y - t^8.62*y + 2*t^8.71*y - t^8.82*y	(g1^3*t^2.16)/g2^2 + (2*t^2.62)/g2 + g1^3*t^2.91 + t^3. + t^3.09/g1^3 + g2*t^3.38 + t^3.75/g2^2 + (g1^3*t^4.04)/g2 + (2*t^4.12)/g2 + (g1^6*t^4.32)/g2^4 + 2*g1^3*t^4.41 + t^4.5 + (2*t^4.59)/g1^3 + (2*g1^3*t^4.79)/g2^3 + 3*g2*t^4.88 + (g1^6*t^5.07)/g2^2 + (g1^3*t^5.16)/g2^2 + (5*t^5.25)/g2^2 + (g2^2*t^5.34)/g1^3 + (3*g1^3*t^5.54)/g2 + t^5.62/g2 + t^5.71/(g1^3*g2) + g1^6*t^5.83 + g1^3*t^5.91 + (g1^3*t^5.91)/g2^4 - t^6. + t^6.17/g1^6 + (g1^6*t^6.2)/g2^3 + (2*g1^3*t^6.29)/g2^3 + (2*t^6.37)/g2^3 + t^6.46/(g1^3*g2^3) - (2*g2*t^6.46)/g1^3 + (g1^9*t^6.49)/g2^6 + (2*g1^6*t^6.57)/g2^2 + (2*g1^3*t^6.66)/g2^2 + (7*t^6.75)/g2^2 - g2^2*t^6.75 + t^6.84/(g1^3*g2^2) + (2*g1^6*t^6.95)/g2^5 + (g1^6*t^6.95)/g2 + (9*g1^3*t^7.04)/g2 + (2*t^7.12)/g2 + (5*t^7.21)/(g1^3*g2) + (g1^9*t^7.24)/g2^4 + (g2^3*t^7.3)/g1^6 + (g1^6*t^7.32)/g2^4 + 3*g1^6*t^7.33 + g1^3*t^7.41 + (5*g1^3*t^7.41)/g2^4 + 8*t^7.5 + t^7.5/g2^4 + t^7.59/g1^3 + (2*t^7.67)/g1^6 + (3*g1^6*t^7.7)/g2^3 + (2*g1^3*t^7.79)/g2^3 + 2*g1^3*g2*t^7.79 + (7*t^7.87)/g2^3 - t^7.96/(g1^3*g2^3) + (2*g2*t^7.96)/g1^3 + (g1^9*t^7.99)/g2^2 + (g1^6*t^8.07)/g2^6 + (2*g1^6*t^8.07)/g2^2 + (3*g1^3*t^8.16)/g2^2 + (4*t^8.25)/g2^2 + (3*t^8.34)/(g1^3*g2^2) - (g2^2*t^8.34)/g1^3 + (g1^9*t^8.36)/g2^5 - (g2^2*t^8.43)/g1^6 + (2*g1^6*t^8.45)/g2^5 + (2*g1^6*t^8.45)/g2 + (2*g1^3*t^8.54)/g2^5 + (3*g1^3*t^8.54)/g2 + t^8.62/g2^5 - (6*t^8.62)/g2 + (g1^12*t^8.65)/g2^8 + t^8.71/(g1^3*g2) - (g2^3*t^8.71)/g1^3 + g1^9*t^8.74 + (2*g1^9*t^8.74)/g2^4 + t^8.8/(g1^6*g2) - (g2^3*t^8.8)/g1^6 + (2*g1^6*t^8.82)/g2^4 + 3*g1^6*t^8.83 - 5*g1^3*t^8.91 + (7*g1^3*t^8.91)/g2^4 - t^4.5/y - t^6./y - (g1^3*t^6.66)/(g2^2*y) - t^7.12/(g2*y) + t^7.5/y + (2*g1^3*t^7.79)/(g2^3*y) + (g2*t^7.88)/y + (g1^6*t^8.07)/(g2^2*y) + (2*t^8.25)/(g2^2*y) + (g2^2*t^8.34)/(g1^3*y) + (3*g1^3*t^8.54)/(g2*y) - t^8.62/(g2*y) + (2*t^8.71)/(g1^3*g2*y) - (g1^6*t^8.82)/(g2^4*y) - (g1^3*t^8.91)/y + (g1^3*t^8.91)/(g2^4*y) - t^4.5*y - t^6.*y - (g1^3*t^6.66*y)/g2^2 - (t^7.12*y)/g2 + t^7.5*y + (2*g1^3*t^7.79*y)/g2^3 + g2*t^7.88*y + (g1^6*t^8.07*y)/g2^2 + (2*t^8.25*y)/g2^2 + (g2^2*t^8.34*y)/g1^3 + (3*g1^3*t^8.54*y)/g2 - (t^8.62*y)/g2 + (2*t^8.71*y)/(g1^3*g2) - (g1^6*t^8.82*y)/g2^4 - g1^3*t^8.91*y + (g1^3*t^8.91*y)/g2^4

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

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
57747	SU3adj1nf2	${}\phi_{1}^{4}$ + ${ }q_{1}\tilde{q}_{1}X_{1}$ + ${ }q_{2}\tilde{q}_{1}X_{2}$ + ${ }q_{1}\tilde{q}_{2}X_{3}$ + ${ }q_{2}\tilde{q}_{2}X_{4}$ + ${ }M_{1}\phi_{1}q_{1}^{2}q_{2}$ + ${ }M_{2}\phi_{1}q_{1}q_{2}^{2}$	1.0062	1.2289	0.8188	[X:[1.5, 1.5, 1.5, 1.5], M:[0.7183, 0.7183], q:[0.2606, 0.2606], qb:[0.2394, 0.2394], phi:[0.5]]	2*t^2.15 + 5*t^3. + 2*t^3.65 + 3*t^4.31 + 9*t^4.5 + 12*t^5.15 + 2*t^5.35 + 4*t^5.81 + 2*t^6. - t^4.5/y - t^6./y - t^4.5*y - t^6.*y	detail