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
57510	SU3adj1nf2	${}\phi_{1}^{4}$ + ${ }q_{1}\tilde{q}_{1}X_{1}$ + ${ }q_{2}\tilde{q}_{1}X_{2}$ + ${ }q_{1}\tilde{q}_{2}X_{3}$ + ${ }q_{2}\tilde{q}_{2}X_{4}$ + ${ }M_{1}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{1}\phi_{1}q_{1}\tilde{q}_{2}$	0.9678	1.1567	0.8367	[X:[1.5221, 1.5221, 1.4779, 1.4779], M:[0.9779], q:[0.2498, 0.2498], qb:[0.228, 0.2723], phi:[0.5]]	[X:[[0, -1], [0, -1], [0, 1], [0, 1]], M:[[0, 1]], q:[[-1, -1], [-1, -1]], qb:[[1, 2], [1, 0]], phi:[[0, 0]]]	2

Relevant Operators	Marginal Operators	$n_{marginal}$$-$$|F_{IR}|$	Superconformal Index	Refined index
${}M_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}^{2}q_{2}$, ${ }\phi_{1}q_{1}q_{2}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$, ${ }X_{3}$, ${ }X_{4}$, ${ }\phi_{1}^{3}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$, ${ }X_{1}$, ${ }X_{2}$, ${ }\phi_{1}^{2}\tilde{q}_{1}^{2}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{1}^{2}q_{2}$, ${ }\phi_{1}^{2}q_{1}q_{2}^{2}$, ${ }\phi_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}^{2}$, ${ }M_{1}^{2}$, ${ }M_{1}\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{1}\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{1}^{2}\tilde{q}_{1}^{2}$, ${ }\phi_{1}^{2}q_{1}q_{2}\tilde{q}_{1}^{2}$, ${ }\phi_{1}^{2}q_{2}^{2}\tilde{q}_{1}^{2}$, ${ }M_{1}\phi_{1}^{2}$	${}\phi_{1}^{2}q_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$	-3	3*t^2.93 + t^3. + t^3.07 + t^3.69 + 2*t^3.75 + t^3.82 + 4*t^4.43 + t^4.5 + 4*t^4.57 + t^5.19 + 2*t^5.25 + t^5.32 + 5*t^5.87 + t^5.93 - 3*t^6. - t^6.07 + t^6.55 + 3*t^6.62 + 4*t^6.68 + t^6.69 + 4*t^6.75 + t^6.82 + t^6.88 + t^6.95 + 12*t^7.37 + 5*t^7.43 + 15*t^7.5 + 3*t^7.57 + 3*t^7.63 + t^7.64 - t^8.05 + 3*t^8.12 + 6*t^8.18 + 2*t^8.25 + 2*t^8.31 + t^8.38 - t^8.45 + 7*t^8.8 + 9*t^8.87 - 13*t^8.93 - t^4.5/y - t^6./y - t^7.43/y + t^7.5/y + t^7.57/y + (3*t^8.87)/y - (2*t^8.93)/y - t^4.5*y - t^6.*y - t^7.43*y + t^7.5*y + t^7.57*y + 3*t^8.87*y - 2*t^8.93*y	3*g2*t^2.93 + t^3. + t^3.07/g2 + g1^3*g2^4*t^3.69 + (2*t^3.75)/(g1^3*g2^3) + g1^3*g2^2*t^3.82 + 4*g2*t^4.43 + t^4.5 + (4*t^4.57)/g2 + g1^3*g2^4*t^5.19 + (2*t^5.25)/(g1^3*g2^3) + g1^3*g2^2*t^5.32 + 5*g2^2*t^5.87 + g2*t^5.93 - 3*t^6. - t^6.07/g2 + g1^3*g2^6*t^6.55 + 3*g1^3*g2^5*t^6.62 + (4*t^6.68)/(g1^3*g2^2) + g1^3*g2^4*t^6.69 + (4*t^6.75)/(g1^3*g2^3) + g1^3*g2^2*t^6.82 + g1^3*g2*t^6.88 + g1^3*t^6.95 + 11*g2^2*t^7.37 + g1^6*g2^8*t^7.37 + 5*g2*t^7.43 + 11*t^7.5 + (3*t^7.5)/(g1^6*g2^6) + g1^6*g2^6*t^7.5 + (3*t^7.57)/g2 + (3*t^7.63)/g2^2 + g1^6*g2^4*t^7.64 - g1^3*g2^6*t^8.05 + 3*g1^3*g2^5*t^8.12 + (6*t^8.18)/(g1^3*g2^2) - (2*t^8.25)/(g1^3*g2^3) + 4*g1^3*g2^3*t^8.25 + (2*t^8.31)/(g1^3*g2^4) + g1^3*g2*t^8.38 - g1^3*t^8.45 + 7*g2^3*t^8.8 + 8*g2^2*t^8.87 + g1^6*g2^8*t^8.87 - 13*g2*t^8.93 - t^4.5/y - t^6./y - (g2*t^7.43)/y + t^7.5/y + t^7.57/(g2*y) + (3*g2^2*t^8.87)/y - (2*g2*t^8.93)/y - t^4.5*y - t^6.*y - g2*t^7.43*y + t^7.5*y + (t^7.57*y)/g2 + 3*g2^2*t^8.87*y - 2*g2*t^8.93*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
59056	${}\phi_{1}^{4}$ + ${ }q_{1}\tilde{q}_{1}X_{1}$ + ${ }q_{2}\tilde{q}_{1}X_{2}$ + ${ }q_{1}\tilde{q}_{2}X_{3}$ + ${ }q_{2}\tilde{q}_{2}X_{4}$ + ${ }M_{1}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{1}\phi_{1}q_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}\tilde{q}_{1}^{2}\tilde{q}_{2}$	0.9867	1.1912	0.8283	[X:[1.5136, 1.5136, 1.4864, 1.4864], M:[0.9864, 0.7413], q:[0.2426, 0.2426], qb:[0.2438, 0.271], phi:[0.5]]	t^2.22 + 3*t^2.96 + t^3. + t^3.04 + 2*t^3.68 + t^3.86 + t^4.45 + 4*t^4.46 + t^4.5 + 4*t^4.54 + 5*t^5.18 + t^5.22 + t^5.26 + t^5.28 + t^5.36 + 2*t^5.91 + 5*t^5.92 + t^5.96 - 3*t^6. - t^4.5/y - t^6./y - t^4.5*y - t^6.*y	detail
58586	${}\phi_{1}^{4}$ + ${ }q_{1}\tilde{q}_{1}X_{1}$ + ${ }q_{2}\tilde{q}_{1}X_{2}$ + ${ }q_{1}\tilde{q}_{2}X_{3}$ + ${ }q_{2}\tilde{q}_{2}X_{4}$ + ${ }M_{1}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{1}\phi_{1}q_{1}\tilde{q}_{2}$ + ${ }\phi_{1}^{2}q_{1}^{2}q_{2}$	0.9149	1.1036	0.8291	[X:[1.5185, 1.5185, 1.4815, 1.4815], M:[0.9815], q:[0.3333, 0.3333], qb:[0.1482, 0.1851], phi:[0.5]]	4*t^2.94 + t^3. + 2*t^3.06 + 5*t^4.44 + 3*t^4.5 + 5*t^4.56 + t^5.83 + 9*t^5.89 + 2*t^5.94 - t^4.5/y - t^6./y - t^4.5*y - t^6.*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
47905	SU3adj1nf2	${}\phi_{1}^{4}$ + ${ }q_{1}\tilde{q}_{1}X_{1}$ + ${ }q_{2}\tilde{q}_{1}X_{2}$ + ${ }q_{1}\tilde{q}_{2}X_{3}$ + ${ }q_{2}\tilde{q}_{2}X_{4}$ + ${ }M_{1}\phi_{1}q_{2}\tilde{q}_{2}$	0.9689	1.1591	0.8359	[X:[1.5437, 1.5, 1.5, 1.4563], M:[0.9563], q:[0.2282, 0.2718], qb:[0.2282, 0.2718], phi:[0.5]]	2*t^2.869 + 3*t^3. + 2*t^3.684 + 2*t^3.816 + 2*t^4.369 + 5*t^4.5 + 2*t^4.631 + 2*t^5.184 + 2*t^5.316 + 3*t^5.738 + 3*t^5.869 - t^6. - t^4.5/y - t^6./y - t^4.5*y - t^6.*y	detail