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
3699	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{4}X_{1}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{5}\phi_{1}q_{1}^{2}$ + ${ }M_{6}\phi_{1}q_{1}^{2}$	0.6475	0.812	0.7974	[X:[1.6], M:[0.7678, 0.8322, 1.2, 0.4, 0.7839, 0.7839], q:[0.4081, 0.8242], qb:[0.3919, 0.7758], phi:[0.4]]	[X:[[0]], M:[[4], [-4], [0], [0], [2], [2]], q:[[-1], [-3]], qb:[[1], [3]], phi:[[0]]]	1

Relevant Operators	Marginal Operators	$n_{marginal}$$-$$|F_{IR}|$	Superconformal Index	Refined index
${}M_{1}$, ${ }M_{5}$, ${ }M_{6}$, ${ }\phi_{1}^{2}$, ${ }M_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }M_{3}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{1}^{2}$, ${ }M_{1}M_{5}$, ${ }M_{1}M_{6}$, ${ }M_{5}^{2}$, ${ }M_{5}M_{6}$, ${ }M_{6}^{2}$, ${ }M_{1}\phi_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{5}\phi_{1}^{2}$, ${ }M_{6}\phi_{1}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{1}M_{2}$, ${ }\phi_{1}^{4}$, ${ }X_{1}$, ${ }M_{2}M_{5}$, ${ }M_{2}M_{6}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{2}\phi_{1}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }M_{2}^{2}$, ${ }M_{1}\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{1}M_{3}$, ${ }M_{5}\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{6}\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{5}q_{1}\tilde{q}_{2}$, ${ }M_{6}q_{1}\tilde{q}_{2}$, ${ }M_{3}M_{5}$, ${ }M_{3}M_{6}$, ${ }M_{5}\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{6}\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}^{3}\tilde{q}_{1}^{2}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{2}$	${}\phi_{1}^{3}q_{1}\tilde{q}_{1}$	-1	t^2.303 + 2*t^2.352 + t^2.4 + t^2.497 + 2*t^3.552 + 2*t^3.6 + t^4.607 + 2*t^4.655 + 4*t^4.703 + 2*t^4.752 + 3*t^4.8 + 2*t^4.848 + t^4.897 + t^4.993 + 2*t^5.855 + 5*t^5.903 + 4*t^5.952 - t^6. + t^6.097 + t^6.91 + 2*t^6.958 + 4*t^7.007 + 6*t^7.055 + 7*t^7.103 + 6*t^7.152 + 4*t^7.2 - 2*t^7.248 + t^7.297 + 2*t^7.345 + t^7.393 + t^7.49 + 2*t^8.158 + 5*t^8.207 + 8*t^8.255 + 3*t^8.303 - 2*t^8.352 - 2*t^8.448 - 3*t^8.497 + t^8.593 - t^4.2/y - t^6.503/y - (2*t^6.552)/y - t^6.697/y + (2*t^7.655)/y + (3*t^7.703)/y + (2*t^7.752)/y + t^7.8/y + (4*t^7.848)/y + (2*t^7.897)/y - t^8.807/y + (3*t^8.903)/y + (6*t^8.952)/y - t^4.2*y - t^6.503*y - 2*t^6.552*y - t^6.697*y + 2*t^7.655*y + 3*t^7.703*y + 2*t^7.752*y + t^7.8*y + 4*t^7.848*y + 2*t^7.897*y - t^8.807*y + 3*t^8.903*y + 6*t^8.952*y	g1^4*t^2.303 + 2*g1^2*t^2.352 + t^2.4 + t^2.497/g1^4 + 2*g1^2*t^3.552 + 2*t^3.6 + g1^8*t^4.607 + 2*g1^6*t^4.655 + 4*g1^4*t^4.703 + 2*g1^2*t^4.752 + 3*t^4.8 + (2*t^4.848)/g1^2 + t^4.897/g1^4 + t^4.993/g1^8 + 2*g1^6*t^5.855 + 5*g1^4*t^5.903 + 4*g1^2*t^5.952 - t^6. + t^6.097/g1^4 + g1^12*t^6.91 + 2*g1^10*t^6.958 + 4*g1^8*t^7.007 + 6*g1^6*t^7.055 + 7*g1^4*t^7.103 + 6*g1^2*t^7.152 + 4*t^7.2 - (2*t^7.248)/g1^2 + t^7.297/g1^4 + (2*t^7.345)/g1^6 + t^7.393/g1^8 + t^7.49/g1^12 + 2*g1^10*t^8.158 + 5*g1^8*t^8.207 + 8*g1^6*t^8.255 + 3*g1^4*t^8.303 - 2*g1^2*t^8.352 - (2*t^8.448)/g1^2 - (3*t^8.497)/g1^4 + t^8.593/g1^8 - t^4.2/y - (g1^4*t^6.503)/y - (2*g1^2*t^6.552)/y - t^6.697/(g1^4*y) + (2*g1^6*t^7.655)/y + (3*g1^4*t^7.703)/y + (2*g1^2*t^7.752)/y + t^7.8/y + (4*t^7.848)/(g1^2*y) + (2*t^7.897)/(g1^4*y) - (g1^8*t^8.807)/y + (3*g1^4*t^8.903)/y + (6*g1^2*t^8.952)/y - t^4.2*y - g1^4*t^6.503*y - 2*g1^2*t^6.552*y - (t^6.697*y)/g1^4 + 2*g1^6*t^7.655*y + 3*g1^4*t^7.703*y + 2*g1^2*t^7.752*y + t^7.8*y + (4*t^7.848*y)/g1^2 + (2*t^7.897*y)/g1^4 - g1^8*t^8.807*y + 3*g1^4*t^8.903*y + 6*g1^2*t^8.952*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
3967	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{4}X_{1}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{5}\phi_{1}q_{1}^{2}$ + ${ }M_{6}\phi_{1}q_{1}^{2}$ + ${ }M_{2}M_{7}$	0.6346	0.794	0.7993	[X:[1.6], M:[0.7249, 0.8751, 1.2, 0.4, 0.7625, 0.7625, 1.1249], q:[0.4188, 0.8563], qb:[0.3812, 0.7437], phi:[0.4]]	t^2.175 + 2*t^2.287 + t^2.4 + t^3.375 + 2*t^3.487 + 2*t^3.6 + t^4.349 + 2*t^4.462 + 4*t^4.575 + 2*t^4.687 + 2*t^4.8 + t^5.549 + 4*t^5.662 + 6*t^5.775 + 4*t^5.887 - t^6. - t^4.2/y - t^4.2*y	detail
3968	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{4}X_{1}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{5}\phi_{1}q_{1}^{2}$ + ${ }M_{6}\phi_{1}q_{1}^{2}$ + ${ }M_{3}M_{7}$	0.664	0.841	0.7895	[X:[1.6], M:[0.7678, 0.8322, 1.2, 0.4, 0.7839, 0.7839, 0.8], q:[0.4081, 0.8242], qb:[0.3919, 0.7758], phi:[0.4]]	t^2.303 + 2*t^2.352 + 2*t^2.4 + t^2.497 + 2*t^3.552 + t^3.6 + t^4.607 + 2*t^4.655 + 5*t^4.703 + 4*t^4.752 + 5*t^4.8 + 2*t^4.848 + 2*t^4.897 + t^4.993 + 2*t^5.855 + 4*t^5.903 + 4*t^5.952 - t^6. - t^4.2/y - t^4.2*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
3268	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{4}X_{1}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{5}\phi_{1}q_{1}^{2}$	0.6303	0.7808	0.8072	[X:[1.6], M:[0.7831, 0.8169, 1.2, 0.4, 0.7915], q:[0.4042, 0.8127], qb:[0.3958, 0.7873], phi:[0.4]]	t^2.349 + t^2.375 + t^2.4 + t^2.451 + 2*t^3.575 + 2*t^3.6 + t^3.625 + t^4.699 + t^4.724 + 2*t^4.749 + t^4.775 + 3*t^4.8 + t^4.825 + t^4.851 + t^4.901 + 2*t^5.924 + 3*t^5.949 + 3*t^5.975 - t^4.2/y - t^4.2*y	detail