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
2946	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{2}M_{3}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{6}q_{1}\tilde{q}_{1}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$	0.6498	0.8607	0.755	[M:[0.9465, 1.1605, 0.8395, 0.7325, 0.7407, 0.8395], q:[0.7366, 0.3169], qb:[0.4239, 0.4157], phi:[0.5267]]	[M:[[4], [-12], [12], [20], [-18], [12]], q:[[1], [-5]], qb:[[-13], [25]], phi:[[-2]]]	1

Relevant Operators	Marginal Operators	$n_{marginal}$$-$$|F_{IR}|$	Superconformal Index	Refined index
${}M_{4}$, ${ }q_{2}\tilde{q}_{2}$, ${ }M_{5}$, ${ }q_{2}\tilde{q}_{1}$, ${ }M_{3}$, ${ }M_{6}$, ${ }M_{1}$, ${ }\phi_{1}^{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{4}^{2}$, ${ }M_{4}q_{2}\tilde{q}_{2}$, ${ }q_{2}^{2}\tilde{q}_{2}^{2}$, ${ }M_{4}M_{5}$, ${ }M_{4}q_{2}\tilde{q}_{1}$, ${ }M_{5}q_{2}\tilde{q}_{2}$, ${ }q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{5}^{2}$, ${ }M_{5}q_{2}\tilde{q}_{1}$, ${ }q_{2}^{2}\tilde{q}_{1}^{2}$, ${ }M_{3}M_{4}$, ${ }M_{4}M_{6}$, ${ }M_{3}q_{2}\tilde{q}_{2}$, ${ }M_{6}q_{2}\tilde{q}_{2}$, ${ }M_{3}M_{5}$, ${ }M_{5}M_{6}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }M_{3}q_{2}\tilde{q}_{1}$, ${ }M_{6}q_{2}\tilde{q}_{1}$, ${ }M_{3}^{2}$, ${ }M_{1}M_{4}$, ${ }M_{3}M_{6}$, ${ }M_{6}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{1}M_{5}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{1}M_{3}$, ${ }M_{1}M_{6}$, ${ }M_{4}\phi_{1}^{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$, ${ }M_{5}\phi_{1}^{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$, ${ }M_{4}q_{1}\tilde{q}_{2}$, ${ }q_{1}q_{2}\tilde{q}_{2}^{2}$, ${ }M_{1}^{2}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{6}\phi_{1}^{2}$, ${ }M_{4}\phi_{1}q_{2}^{2}$, ${ }M_{5}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}^{3}\tilde{q}_{2}$, ${ }M_{5}\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{2}^{3}\tilde{q}_{1}$, ${ }M_{3}q_{1}\tilde{q}_{2}$, ${ }M_{6}q_{1}\tilde{q}_{2}$	${}M_{3}\phi_{1}q_{2}^{2}$	-1	2*t^2.198 + 2*t^2.222 + 2*t^2.519 + t^2.84 + t^3.16 + t^3.457 + t^3.481 + t^4.074 + t^4.099 + t^4.123 + 3*t^4.395 + 4*t^4.42 + 3*t^4.444 + 4*t^4.716 + 4*t^4.741 + 5*t^5.037 + 2*t^5.062 + 4*t^5.358 + 2*t^5.383 + 2*t^5.654 + 5*t^5.679 + t^5.704 + t^5.975 - t^6. - t^6.025 + 2*t^6.272 + 3*t^6.296 + 2*t^6.321 + 2*t^6.346 + 6*t^6.593 + 7*t^6.617 + 7*t^6.642 + 4*t^6.666 + 7*t^6.914 + 7*t^6.938 + 5*t^6.963 + 9*t^7.235 + 7*t^7.259 + 2*t^7.284 + t^7.531 + 10*t^7.556 + 5*t^7.58 + 2*t^7.605 + 3*t^7.852 + 9*t^7.877 + 4*t^7.901 + t^7.926 + t^8.148 + 3*t^8.173 + 2*t^8.198 - 5*t^8.222 - t^8.247 + 3*t^8.469 + 6*t^8.494 + 3*t^8.568 + 9*t^8.79 + 11*t^8.815 + 5*t^8.84 + 8*t^8.864 + 5*t^8.889 - t^4.58/y - t^6.778/y - t^6.802/y - t^7.099/y + t^7.395/y + (4*t^7.42)/y + t^7.444/y + (4*t^7.716)/y + (4*t^7.741)/y + (3*t^8.037)/y + (3*t^8.062)/y + (5*t^8.358)/y + (3*t^8.383)/y + (2*t^8.654)/y + (6*t^8.679)/y + (2*t^8.704)/y + t^8.975/y - t^4.58*y - t^6.778*y - t^6.802*y - t^7.099*y + t^7.395*y + 4*t^7.42*y + t^7.444*y + 4*t^7.716*y + 4*t^7.741*y + 3*t^8.037*y + 3*t^8.062*y + 5*t^8.358*y + 3*t^8.383*y + 2*t^8.654*y + 6*t^8.679*y + 2*t^8.704*y + t^8.975*y	2*g1^20*t^2.198 + (2*t^2.222)/g1^18 + 2*g1^12*t^2.519 + g1^4*t^2.84 + t^3.16/g1^4 + g1^26*t^3.457 + t^3.481/g1^12 + g1^48*t^4.074 + g1^10*t^4.099 + t^4.123/g1^28 + 3*g1^40*t^4.395 + 4*g1^2*t^4.42 + (3*t^4.444)/g1^36 + 4*g1^32*t^4.716 + (4*t^4.741)/g1^6 + 5*g1^24*t^5.037 + (2*t^5.062)/g1^14 + 4*g1^16*t^5.358 + (2*t^5.383)/g1^22 + 2*g1^46*t^5.654 + 5*g1^8*t^5.679 + t^5.704/g1^30 + g1^38*t^5.975 - t^6. - t^6.025/g1^38 + 2*g1^68*t^6.272 + 3*g1^30*t^6.296 + (2*t^6.321)/g1^8 + (2*t^6.346)/g1^46 + 6*g1^60*t^6.593 + 7*g1^22*t^6.617 + (7*t^6.642)/g1^16 + (4*t^6.666)/g1^54 + 7*g1^52*t^6.914 + 7*g1^14*t^6.938 + (5*t^6.963)/g1^24 + 9*g1^44*t^7.235 + 7*g1^6*t^7.259 + (2*t^7.284)/g1^32 + g1^74*t^7.531 + 10*g1^36*t^7.556 + (5*t^7.58)/g1^2 + (2*t^7.605)/g1^40 + 3*g1^66*t^7.852 + 9*g1^28*t^7.877 + (4*t^7.901)/g1^10 + t^7.926/g1^48 + g1^96*t^8.148 + 3*g1^58*t^8.173 + 2*g1^20*t^8.198 - (5*t^8.222)/g1^18 - t^8.247/g1^56 + 3*g1^88*t^8.469 + 6*g1^50*t^8.494 + (3*t^8.568)/g1^64 + 9*g1^80*t^8.79 + 11*g1^42*t^8.815 + 5*g1^4*t^8.84 + (8*t^8.864)/g1^34 + (5*t^8.889)/g1^72 - t^4.58/(g1^2*y) - (g1^18*t^6.778)/y - t^6.802/(g1^20*y) - (g1^10*t^7.099)/y + (g1^40*t^7.395)/y + (4*g1^2*t^7.42)/y + t^7.444/(g1^36*y) + (4*g1^32*t^7.716)/y + (4*t^7.741)/(g1^6*y) + (3*g1^24*t^8.037)/y + (3*t^8.062)/(g1^14*y) + (5*g1^16*t^8.358)/y + (3*t^8.383)/(g1^22*y) + (2*g1^46*t^8.654)/y + (6*g1^8*t^8.679)/y + (2*t^8.704)/(g1^30*y) + (g1^38*t^8.975)/y - (t^4.58*y)/g1^2 - g1^18*t^6.778*y - (t^6.802*y)/g1^20 - g1^10*t^7.099*y + g1^40*t^7.395*y + 4*g1^2*t^7.42*y + (t^7.444*y)/g1^36 + 4*g1^32*t^7.716*y + (4*t^7.741*y)/g1^6 + 3*g1^24*t^8.037*y + (3*t^8.062*y)/g1^14 + 5*g1^16*t^8.358*y + (3*t^8.383*y)/g1^22 + 2*g1^46*t^8.654*y + 6*g1^8*t^8.679*y + (2*t^8.704*y)/g1^30 + g1^38*t^8.975*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
3531	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{2}M_{3}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{6}q_{1}\tilde{q}_{1}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$ + ${ }M_{7}q_{1}\tilde{q}_{2}$	0.6639	0.8842	0.7508	[M:[0.9501, 1.1497, 0.8503, 0.7504, 0.7246, 0.8503, 0.8244], q:[0.7375, 0.3124], qb:[0.4122, 0.438], phi:[0.525]]	2*t^2.174 + 2*t^2.251 + t^2.473 + 2*t^2.551 + t^2.85 + t^3.15 + t^3.449 + t^4.048 + t^4.126 + t^4.203 + 3*t^4.348 + 4*t^4.425 + 3*t^4.503 + 2*t^4.647 + 6*t^4.725 + 4*t^4.802 + t^4.947 + 4*t^5.024 + 5*t^5.102 + 3*t^5.324 + 4*t^5.401 + 2*t^5.623 + 3*t^5.701 - t^6. - t^4.575/y - t^4.575*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
1914	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{2}M_{3}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{6}q_{1}\tilde{q}_{1}$	0.6522	0.8612	0.7573	[M:[0.964, 1.108, 0.892, 0.728, 0.754, 0.8], q:[0.741, 0.295], qb:[0.459, 0.433], phi:[0.518]]	2*t^2.184 + 2*t^2.262 + t^2.4 + t^2.676 + t^2.892 + t^3.108 + t^3.324 + t^3.522 + t^4.152 + t^4.23 + t^4.308 + 3*t^4.368 + 4*t^4.446 + 3*t^4.524 + 2*t^4.584 + 2*t^4.662 + t^4.8 + 2*t^4.86 + 2*t^4.938 + 3*t^5.076 + 2*t^5.154 + 3*t^5.292 + t^5.352 + 2*t^5.37 + 2*t^5.508 + t^5.568 + t^5.586 + 2*t^5.706 + t^5.724 + 3*t^5.784 - 2*t^6. - t^4.554/y - t^4.554*y	detail