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
57511	SU3adj1nf2	${}\phi_{1}^{4}$ + ${ }q_{1}\tilde{q}_{1}X_{1}$ + ${ }q_{2}\tilde{q}_{1}X_{2}$ + ${ }q_{1}\tilde{q}_{2}X_{3}$ + ${ }q_{2}\tilde{q}_{2}X_{4}$ + ${ }M_{1}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}q_{2}\tilde{q}_{1}$	0.9709	1.1639	0.8342	[X:[1.5437, 1.4563, 1.5437, 1.4563], M:[0.9563, 0.9563], q:[0.2069, 0.2944], qb:[0.2494, 0.2494], phi:[0.5]]	[X:[[0, 0, -1], [0, -1, 0], [0, 1, 0], [0, 0, 1]], M:[[0, 0, 1], [0, -1, 0]], q:[[-1, -1, 0], [-1, 0, -1]], qb:[[1, 1, 1], [1, 0, 0]], phi:[[0, 0, 0]]]	3

Relevant Operators	Marginal Operators	$n_{marginal}$$-$$|F_{IR}|$	Superconformal Index	Refined index
${}M_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}^{2}$, ${ }\phi_{1}q_{1}^{2}q_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}q_{2}^{2}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{2}$, ${ }X_{2}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{1}$, ${ }X_{4}$, ${ }\phi_{1}^{3}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$, ${ }X_{3}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$, ${ }X_{1}$, ${ }\phi_{1}^{2}q_{1}^{2}q_{2}$, ${ }\phi_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}^{2}\tilde{q}_{1}^{2}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{1}q_{2}^{2}$, ${ }M_{2}^{2}$, ${ }M_{2}\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{1}^{2}\tilde{q}_{2}^{2}$, ${ }M_{1}M_{2}$, ${ }M_{2}\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{1}\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{1}^{2}$, ${ }M_{1}\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{1}^{2}\tilde{q}_{1}^{2}$, ${ }M_{2}\phi_{1}^{2}$, ${ }M_{1}\phi_{1}^{2}$	${}$	-6	4*t^2.87 + t^3. + t^3.62 + 2*t^3.74 + t^3.89 + 4*t^4.37 + t^4.5 + 4*t^4.63 + t^5.12 + 2*t^5.24 + t^5.39 + 9*t^5.74 + 2*t^5.87 - 6*t^6. - 2*t^6.13 - t^6.26 + t^6.36 + 4*t^6.49 + 6*t^6.61 + t^6.62 + 4*t^6.74 - 2*t^6.88 + t^6.89 + t^7.15 + 15*t^7.24 + t^7.25 + 6*t^7.37 + 3*t^7.49 + 11*t^7.5 + t^7.51 + 2*t^7.63 - t^7.76 + t^7.77 - t^7.86 + 4*t^7.99 + 8*t^8.11 - 2*t^8.24 + 4*t^8.26 + 16*t^8.61 - t^8.65 + 10*t^8.74 + t^8.75 - 24*t^8.87 + 4*t^8.99 - t^4.5/y - t^6./y - (2*t^7.37)/y + t^7.5/y + (2*t^7.63)/y + (6*t^8.74)/y - (2*t^8.87)/y - t^4.5*y - t^6.*y - 2*t^7.37*y + t^7.5*y + 2*t^7.63*y + 6*t^8.74*y - 2*t^8.87*y	(2*t^2.87)/g2 + 2*g3*t^2.87 + t^3. + t^3.62/(g1^3*g2^2*g3) + g1^3*g2*g3*t^3.74 + g1^3*g2^2*g3^2*t^3.74 + t^3.89/(g1^3*g2*g3^2) + (2*t^4.37)/g2 + 2*g3*t^4.37 + t^4.5 + 2*g2*t^4.63 + (2*t^4.63)/g3 + t^5.12/(g1^3*g2^2*g3) + g1^3*g2*g3*t^5.24 + g1^3*g2^2*g3^2*t^5.24 + t^5.39/(g1^3*g2*g3^2) + (3*t^5.74)/g2^2 + (3*g3*t^5.74)/g2 + 3*g3^2*t^5.74 + t^5.87/g2 + g3*t^5.87 - 4*t^6. - t^6./(g2*g3) - g2*g3*t^6. - g2*t^6.13 - t^6.13/g3 - (g2*t^6.26)/g3 + t^6.36/(g1^3*g2^3) + (2*t^6.49)/(g1^3*g2^2) + (2*t^6.49)/(g1^3*g2^3*g3) + 2*g1^3*g3*t^6.61 + 2*g1^3*g2*g3^2*t^6.61 + 2*g1^3*g2^2*g3^3*t^6.61 + t^6.62/(g1^3*g2^2*g3) + g1^3*t^6.74 + g1^3*g2*g3*t^6.74 + g1^3*g2^2*g3^2*t^6.74 + g1^3*g2^3*g3^3*t^6.74 - 2*g1^3*g2^2*g3*t^6.88 + t^6.89/(g1^3*g2*g3^2) + t^7.15/(g1^3*g3^3) + (4*t^7.24)/g2^2 + (7*g3*t^7.24)/g2 + 4*g3^2*t^7.24 + t^7.25/(g1^6*g2^4*g3^2) + (3*t^7.37)/g2 + 3*g3*t^7.37 + g1^6*g2^2*g3^2*t^7.49 + g1^6*g2^3*g3^3*t^7.49 + g1^6*g2^4*g3^4*t^7.49 + 5*t^7.5 + (3*t^7.5)/(g2*g3) + 3*g2*g3*t^7.5 + t^7.51/(g1^6*g2^3*g3^3) + g2*t^7.63 + t^7.63/g3 - (g2*t^7.76)/g3 + t^7.77/(g1^6*g2^2*g3^4) - t^7.86/(g1^3*g2^3) + (2*t^7.99)/(g1^3*g2^2) + (2*t^7.99)/(g1^3*g2^3*g3) + 2*g1^3*g3*t^8.11 + 4*g1^3*g2*g3^2*t^8.11 + 2*g1^3*g2^2*g3^3*t^8.11 - g1^3*t^8.24 - g1^3*g2^3*g3^3*t^8.24 + (2*t^8.26)/(g1^3*g2^2*g3^2) + (2*t^8.26)/(g1^3*g2*g3) + (4*t^8.61)/g2^3 + (4*g3*t^8.61)/g2^2 + (4*g3^2*t^8.61)/g2 + 4*g3^3*t^8.61 - t^8.65/(g1^3*g3^3) + (4*t^8.74)/g2^2 + (2*g3*t^8.74)/g2 + 4*g3^2*t^8.74 + t^8.75/(g1^6*g2^4*g3^2) - (10*t^8.87)/g2 - (2*t^8.87)/(g2^2*g3) - 10*g3*t^8.87 - 2*g2*g3^2*t^8.87 + g1^6*g2^2*g3^2*t^8.99 + 2*g1^6*g2^3*g3^3*t^8.99 + g1^6*g2^4*g3^4*t^8.99 - t^4.5/y - t^6./y - t^7.37/(g2*y) - (g3*t^7.37)/y + t^7.5/y + (g2*t^7.63)/y + t^7.63/(g3*y) + t^8.74/(g2^2*y) + (4*g3*t^8.74)/(g2*y) + (g3^2*t^8.74)/y - t^8.87/(g2*y) - (g3*t^8.87)/y - t^4.5*y - t^6.*y - (t^7.37*y)/g2 - g3*t^7.37*y + t^7.5*y + g2*t^7.63*y + (t^7.63*y)/g3 + (t^8.74*y)/g2^2 + (4*g3*t^8.74*y)/g2 + g3^2*t^8.74*y - (t^8.87*y)/g2 - g3*t^8.87*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
60603	${}\phi_{1}^{4}$ + ${ }q_{1}\tilde{q}_{1}X_{1}$ + ${ }q_{2}\tilde{q}_{1}X_{2}$ + ${ }q_{1}\tilde{q}_{2}X_{3}$ + ${ }q_{2}\tilde{q}_{2}X_{4}$ + ${ }M_{1}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{3}\phi_{1}q_{1}^{2}q_{2}$	0.9889	1.1959	0.8269	[X:[1.5343, 1.4657, 1.5343, 1.4657], M:[0.9657, 0.9657, 0.7571], q:[0.2248, 0.2934], qb:[0.2409, 0.2409], phi:[0.5]]	t^2.27 + 4*t^2.9 + t^3. + 2*t^3.67 + t^3.93 + 4*t^4.4 + t^4.5 + t^4.54 + 4*t^4.6 + 6*t^5.17 + t^5.23 + t^5.27 + t^5.43 + 9*t^5.79 + 2*t^5.9 + 2*t^5.94 - 6*t^6. - 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