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
53101	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{7}\phi_{1}^{2}$ + ${ }M_{3}^{2}$ + ${ }M_{2}M_{5}$	0.7287	0.8998	0.8098	[M:[0.809, 1.0, 1.0, 0.809, 1.0, 0.809, 1.0955], q:[0.5, 0.691], qb:[0.5, 0.5], phi:[0.4523]]	[M:[[-4, 0], [0, 1], [0, 0], [-4, -1], [0, -1], [-4, 1], [2, 0]], q:[[0, 0], [4, 0]], qb:[[0, -1], [0, 1]], phi:[[-1, 0]]]	2

Relevant Operators	Marginal Operators	$n_{marginal}$$-$$|F_{IR}|$	Superconformal Index	Refined index
${}M_{1}$, ${ }M_{4}$, ${ }M_{6}$, ${ }M_{2}$, ${ }M_{3}$, ${ }M_{5}$, ${ }M_{5}$, ${ }M_{2}$, ${ }M_{7}$, ${ }\phi_{1}q_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{1}^{2}$, ${ }M_{4}M_{6}$, ${ }M_{4}^{2}$, ${ }M_{1}M_{4}$, ${ }M_{1}M_{6}$, ${ }M_{6}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{1}M_{3}$, ${ }M_{2}M_{4}$, ${ }M_{5}M_{6}$, ${ }M_{4}M_{5}$, ${ }M_{3}M_{4}$, ${ }M_{1}M_{5}$, ${ }M_{1}M_{2}$, ${ }M_{3}M_{6}$, ${ }M_{2}M_{6}$, ${ }\phi_{1}q_{2}^{2}$, ${ }M_{1}M_{7}$, ${ }M_{4}M_{7}$, ${ }M_{6}M_{7}$	${}M_{2}^{2}$, ${ }M_{2}M_{3}$, ${ }M_{3}M_{5}$, ${ }M_{5}^{2}$	-4	3*t^2.427 + 3*t^3. + t^3.286 + 6*t^4.357 + 6*t^4.854 + 3*t^4.93 + 6*t^5.427 + t^5.503 + 3*t^5.714 - 4*t^6. + 3*t^6.286 - 3*t^6.573 + 15*t^6.784 + 10*t^7.281 + 15*t^7.357 + 10*t^7.854 + 6*t^8.141 - 17*t^8.427 + 21*t^8.714 - t^4.357/y - (3*t^6.784)/y + (3*t^7.854)/y + (3*t^7.93)/y + (9*t^8.427)/y + (3*t^8.714)/y - t^4.357*y - 3*t^6.784*y + 3*t^7.854*y + 3*t^7.93*y + 9*t^8.427*y + 3*t^8.714*y	t^2.427/g1^4 + t^2.427/(g1^4*g2) + (g2*t^2.427)/g1^4 + t^3. + t^3./g2 + g2*t^3. + g1^2*t^3.286 + (2*t^4.357)/g1 + t^4.357/(g1*g2^2) + t^4.357/(g1*g2) + (g2*t^4.357)/g1 + (g2^2*t^4.357)/g1 + (2*t^4.854)/g1^8 + t^4.854/(g1^8*g2^2) + t^4.854/(g1^8*g2) + (g2*t^4.854)/g1^8 + (g2^2*t^4.854)/g1^8 + g1^3*t^4.93 + (g1^3*t^4.93)/g2 + g1^3*g2*t^4.93 + (2*t^5.427)/g1^4 + t^5.427/(g1^4*g2^2) + t^5.427/(g1^4*g2) + (g2*t^5.427)/g1^4 + (g2^2*t^5.427)/g1^4 + g1^7*t^5.503 + t^5.714/g1^2 + t^5.714/(g1^2*g2) + (g2*t^5.714)/g1^2 - 2*t^6. - t^6./g2 - g2*t^6. + g1^2*t^6.286 + (g1^2*t^6.286)/g2 + g1^2*g2*t^6.286 - g1^4*t^6.573 - (g1^4*t^6.573)/g2 - g1^4*g2*t^6.573 + (3*t^6.784)/g1^5 + t^6.784/(g1^5*g2^3) + (2*t^6.784)/(g1^5*g2^2) + (3*t^6.784)/(g1^5*g2) + (3*g2*t^6.784)/g1^5 + (2*g2^2*t^6.784)/g1^5 + (g2^3*t^6.784)/g1^5 + (2*t^7.281)/g1^12 + t^7.281/(g1^12*g2^3) + t^7.281/(g1^12*g2^2) + (2*t^7.281)/(g1^12*g2) + (2*g2*t^7.281)/g1^12 + (g2^2*t^7.281)/g1^12 + (g2^3*t^7.281)/g1^12 + (3*t^7.357)/g1 + t^7.357/(g1*g2^3) + (2*t^7.357)/(g1*g2^2) + (3*t^7.357)/(g1*g2) + (3*g2*t^7.357)/g1 + (2*g2^2*t^7.357)/g1 + (g2^3*t^7.357)/g1 + (2*t^7.854)/g1^8 + t^7.854/(g1^8*g2^3) + t^7.854/(g1^8*g2^2) + (2*t^7.854)/(g1^8*g2) + (2*g2*t^7.854)/g1^8 + (g2^2*t^7.854)/g1^8 + (g2^3*t^7.854)/g1^8 + (2*t^8.141)/g1^6 + t^8.141/(g1^6*g2^2) + t^8.141/(g1^6*g2) + (g2*t^8.141)/g1^6 + (g2^2*t^8.141)/g1^6 - (5*t^8.427)/g1^4 - (2*t^8.427)/(g1^4*g2^2) - (4*t^8.427)/(g1^4*g2) - (4*g2*t^8.427)/g1^4 - (2*g2^2*t^8.427)/g1^4 + (5*t^8.714)/g1^2 + t^8.714/(g1^2*g2^4) + t^8.714/(g1^2*g2^3) + (3*t^8.714)/(g1^2*g2^2) + (3*t^8.714)/(g1^2*g2) + (3*g2*t^8.714)/g1^2 + (3*g2^2*t^8.714)/g1^2 + (g2^3*t^8.714)/g1^2 + (g2^4*t^8.714)/g1^2 - t^4.357/(g1*y) - t^6.784/(g1^5*y) - t^6.784/(g1^5*g2*y) - (g2*t^6.784)/(g1^5*y) + t^7.854/(g1^8*y) + t^7.854/(g1^8*g2*y) + (g2*t^7.854)/(g1^8*y) + (g1^3*t^7.93)/y + (g1^3*t^7.93)/(g2*y) + (g1^3*g2*t^7.93)/y + (3*t^8.427)/(g1^4*y) + t^8.427/(g1^4*g2^2*y) + (2*t^8.427)/(g1^4*g2*y) + (2*g2*t^8.427)/(g1^4*y) + (g2^2*t^8.427)/(g1^4*y) + t^8.714/(g1^2*y) + t^8.714/(g1^2*g2*y) + (g2*t^8.714)/(g1^2*y) - (t^4.357*y)/g1 - (t^6.784*y)/g1^5 - (t^6.784*y)/(g1^5*g2) - (g2*t^6.784*y)/g1^5 + (t^7.854*y)/g1^8 + (t^7.854*y)/(g1^8*g2) + (g2*t^7.854*y)/g1^8 + g1^3*t^7.93*y + (g1^3*t^7.93*y)/g2 + g1^3*g2*t^7.93*y + (3*t^8.427*y)/g1^4 + (t^8.427*y)/(g1^4*g2^2) + (2*t^8.427*y)/(g1^4*g2) + (2*g2*t^8.427*y)/g1^4 + (g2^2*t^8.427*y)/g1^4 + (t^8.714*y)/g1^2 + (t^8.714*y)/(g1^2*g2) + (g2*t^8.714*y)/g1^2

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
56427	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{7}\phi_{1}^{2}$ + ${ }M_{3}^{2}$ + ${ }M_{2}M_{5}$ + ${ }M_{2}M_{8}$	0.7298	0.9024	0.8087	[M:[0.8094, 1.0232, 1.0, 0.7862, 0.9768, 0.8327, 1.0953, 0.9768], q:[0.5, 0.6906], qb:[0.4768, 0.5232], phi:[0.4524]]	t^2.359 + t^2.428 + t^2.498 + 2*t^2.93 + t^3. + t^3.286 + t^4.218 + t^4.287 + 2*t^4.357 + t^4.427 + t^4.496 + t^4.717 + t^4.787 + 2*t^4.857 + t^4.859 + t^4.926 + t^4.929 + t^4.996 + t^4.998 + 2*t^5.289 + 2*t^5.359 + 2*t^5.428 + t^5.5 + t^5.645 + t^5.714 + t^5.784 + 2*t^5.861 - 3*t^6. - t^4.357/y - t^4.357*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
46978	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{7}\phi_{1}^{2}$ + ${ }M_{3}^{2}$	0.7536	0.9338	0.807	[M:[0.693, 0.8465, 1.0, 0.8465, 0.8465, 0.8465, 1.1535], q:[0.6535, 0.6535], qb:[0.5, 0.5], phi:[0.4233]]	t^2.079 + 4*t^2.54 + t^3. + t^3.46 + t^4.158 + 3*t^4.27 + 4*t^4.619 + 4*t^4.73 + 11*t^5.079 + 3*t^5.191 + t^5.54 - 3*t^6. - t^4.27/y - t^4.27*y	detail