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
57330	SU3adj1nf2	${}\phi_{1}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }\phi_{1}^{3}\tilde{q}_{2}^{3}$ + ${ }M_{1}q_{1}\tilde{q}_{2}$	1.1299	1.2638	0.8941	[X:[1.5296], M:[0.68], q:[0.8886, 0.3926], qb:[0.8763, 0.4315], phi:[0.2352]]	[X:[[0, 2]], M:[[1, -2]], q:[[-1, 1], [0, 4]], qb:[[1, 0], [0, 1]], phi:[[0, -1]]]	2

Relevant Operators	Marginal Operators	$n_{marginal}$$-$$|F_{IR}|$	Superconformal Index	Refined index
${}M_{1}$, ${ }\phi_{1}^{3}$, ${ }q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$, ${ }M_{1}^{2}$, ${ }M_{1}\phi_{1}^{3}$, ${ }\phi_{1}^{6}$, ${ }M_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}^{3}q_{2}\tilde{q}_{2}$, ${ }X_{1}$, ${ }q_{2}^{2}\tilde{q}_{2}^{2}$, ${ }M_{1}\phi_{1}q_{2}\tilde{q}_{2}$, ${ }q_{1}\tilde{q}_{1}$, ${ }\phi_{1}^{4}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}^{3}q_{2}^{3}$, ${ }\phi_{1}q_{2}^{2}\tilde{q}_{2}^{2}$, ${ }\phi_{1}q_{1}q_{2}^{2}$, ${ }M_{1}q_{2}\tilde{q}_{1}$, ${ }M_{1}\phi_{1}^{2}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}^{2}$	${}\phi_{1}^{5}q_{2}\tilde{q}_{2}$	-1	t^2.04 + t^2.117 + t^2.472 + t^3.178 + t^3.806 + t^3.883 + t^4.08 + t^4.157 + t^4.233 + t^4.512 + 2*t^4.589 + t^4.944 + t^5.218 + 2*t^5.294 + 2*t^5.65 + t^5.727 + t^5.846 + 2*t^5.923 - t^6. - t^6.077 + t^6.12 + t^6.196 + t^6.273 + t^6.279 + t^6.35 + 2*t^6.355 + t^6.552 + 2*t^6.629 + t^6.706 + 2*t^6.984 + 3*t^7.061 + t^7.258 + t^7.334 + t^7.411 + t^7.416 - t^7.488 + t^7.613 + 3*t^7.69 + 4*t^7.767 + t^7.886 + 2*t^7.963 - t^8.04 - t^8.117 + 2*t^8.122 + t^8.16 - t^8.194 + t^8.199 + t^8.236 + t^8.313 + t^8.319 + t^8.39 + 4*t^8.395 + t^8.467 - 2*t^8.549 + t^8.592 + 2*t^8.669 - 2*t^8.745 + t^8.751 - t^8.822 + 3*t^8.828 + t^8.904 + t^8.117/y^2 - t^8.745/y^2 - t^8.822/y^2 - t^3.706/y - t^4.411/y - t^5.745/y - t^5.822/y - t^6.178/y - t^6.451/y - t^6.528/y - t^6.883/y + t^7.157/y - t^7.785/y - t^7.862/y - t^7.939/y + t^8.371/y - t^8.491/y - t^8.568/y - t^8.645/y + t^8.846/y + t^8.923/y - t^3.706*y - t^4.411*y - t^5.745*y - t^5.822*y - t^6.178*y - t^6.451*y - t^6.528*y - t^6.883*y + t^7.157*y - t^7.785*y - t^7.862*y - t^7.939*y + t^8.371*y - t^8.491*y - t^8.568*y - t^8.645*y + t^8.846*y + t^8.923*y + t^8.117*y^2 - t^8.745*y^2 - t^8.822*y^2	(g1*t^2.04)/g2^2 + t^2.117/g2^3 + g2^5*t^2.472 + g2^4*t^3.178 + g1*g2^4*t^3.806 + g2^3*t^3.883 + (g1^2*t^4.08)/g2^4 + (g1*t^4.157)/g2^5 + t^4.233/g2^6 + g1*g2^3*t^4.512 + 2*g2^2*t^4.589 + g2^10*t^4.944 + g1*g2^2*t^5.218 + 2*g2*t^5.294 + 2*g2^9*t^5.65 + (g2^8*t^5.727)/g1 + g1^2*g2^2*t^5.846 + 2*g1*g2*t^5.923 - t^6. - t^6.077/(g1*g2) + (g1^3*t^6.12)/g2^6 + (g1^2*t^6.196)/g2^7 + (g1*t^6.273)/g2^8 + g1*g2^9*t^6.279 + t^6.35/g2^9 + 2*g2^8*t^6.355 + g1^2*g2*t^6.552 + 2*g1*t^6.629 + t^6.706/g2 + 2*g1*g2^8*t^6.984 + 3*g2^7*t^7.061 + g1^2*t^7.258 + (g1*t^7.334)/g2 + t^7.411/g2^2 + g2^15*t^7.416 - t^7.488/(g1*g2^3) + g1^2*g2^8*t^7.613 + 3*g1*g2^7*t^7.69 + 4*g2^6*t^7.767 + g1^3*t^7.886 + (2*g1^2*t^7.963)/g2 - (g1*t^8.04)/g2^2 - t^8.117/g2^3 + 2*g2^14*t^8.122 + (g1^4*t^8.16)/g2^8 - t^8.194/(g1*g2^4) + (g2^13*t^8.199)/g1 + (g1^3*t^8.236)/g2^9 + (g1^2*t^8.313)/g2^10 + g1^2*g2^7*t^8.319 + (g1*t^8.39)/g2^11 + 4*g1*g2^6*t^8.395 + t^8.467/g2^12 - (2*g2^4*t^8.549)/g1 + (g1^3*t^8.592)/g2 + (2*g1^2*t^8.669)/g2^2 - (2*g1*t^8.745)/g2^3 + g1*g2^14*t^8.751 - t^8.822/g2^4 + 3*g2^13*t^8.828 + (g2^12*t^8.904)/g1 + t^8.117/(g2^3*y^2) - (g1*t^8.745)/(g2^3*y^2) - t^8.822/(g2^4*y^2) - t^3.706/(g2*y) - t^4.411/(g2^2*y) - (g1*t^5.745)/(g2^3*y) - t^5.822/(g2^4*y) - (g2^4*t^6.178)/y - (g1*t^6.451)/(g2^4*y) - t^6.528/(g2^5*y) - (g2^3*t^6.883)/y + (g1*t^7.157)/(g2^5*y) - (g1^2*t^7.785)/(g2^5*y) - (g1*t^7.862)/(g2^6*y) - t^7.939/(g2^7*y) + t^8.371/(g1*y) - (g1^2*t^8.491)/(g2^6*y) - (g1*t^8.568)/(g2^7*y) - t^8.645/(g2^8*y) + (g1^2*g2^2*t^8.846)/y + (g1*g2*t^8.923)/y - (t^3.706*y)/g2 - (t^4.411*y)/g2^2 - (g1*t^5.745*y)/g2^3 - (t^5.822*y)/g2^4 - g2^4*t^6.178*y - (g1*t^6.451*y)/g2^4 - (t^6.528*y)/g2^5 - g2^3*t^6.883*y + (g1*t^7.157*y)/g2^5 - (g1^2*t^7.785*y)/g2^5 - (g1*t^7.862*y)/g2^6 - (t^7.939*y)/g2^7 + (t^8.371*y)/g1 - (g1^2*t^8.491*y)/g2^6 - (g1*t^8.568*y)/g2^7 - (t^8.645*y)/g2^8 + g1^2*g2^2*t^8.846*y + g1*g2*t^8.923*y + (t^8.117*y^2)/g2^3 - (g1*t^8.745*y^2)/g2^3 - (t^8.822*y^2)/g2^4

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
58162	${}\phi_{1}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }\phi_{1}^{3}\tilde{q}_{2}^{3}$ + ${ }M_{1}q_{1}\tilde{q}_{2}$ + ${ }M_{1}\phi_{1}^{3}$ + ${ }q_{2}\tilde{q}_{2}X_{2}$	0.8959	1.0047	0.8917	[X:[1.4517, 1.3707], M:[1.1776], q:[0.4299, 0.2368], qb:[1.296, 0.3925], phi:[0.2741]]	t^2.47 + t^2.71 + 3*t^3.53 + t^4.11 + t^4.36 + 2*t^4.6 + 2*t^5.18 + t^5.42 - t^3.82/y - t^4.64/y - t^3.82*y - t^4.64*y	detail
58078	${}\phi_{1}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }\phi_{1}^{3}\tilde{q}_{2}^{3}$ + ${ }M_{1}q_{1}\tilde{q}_{2}$ + ${ }M_{1}q_{2}\tilde{q}_{2}$ + ${ }\phi_{1}^{3}X_{2}$	0.9879	1.0471	0.9434	[X:[1.6105, 1.4157], M:[0.9738], q:[0.5543, 0.5543], qb:[1.251, 0.4719], phi:[0.1948]]	t^2.92 + t^3.08 + t^3.66 + 2*t^4.25 + 2*t^5.42 + t^5.57 + t^5.84 - 2*t^6. - t^3.58/y - t^4.17/y - t^3.58*y - t^4.17*y	detail
58079	${}\phi_{1}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }\phi_{1}^{3}\tilde{q}_{2}^{3}$ + ${ }M_{1}q_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}q_{2}\tilde{q}_{2}$	1.1504	1.3022	0.8834	[X:[1.5315], M:[0.679, 0.7027], q:[0.8886, 0.3964], qb:[0.8772, 0.4324], phi:[0.2342]]	t^2.04 + 2*t^2.11 + t^2.49 + t^3.19 + t^3.82 + t^4.07 + 2*t^4.14 + 3*t^4.22 + t^4.52 + 3*t^4.59 + t^4.97 + t^5.23 + 3*t^5.3 + 2*t^5.68 + t^5.75 + t^5.86 + 2*t^5.93 - 2*t^6. - t^3.7/y - t^4.41/y - t^5.74/y - (2*t^5.81)/y - t^3.7*y - t^4.41*y - t^5.74*y - 2*t^5.81*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
47880	SU3adj1nf2	${}\phi_{1}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }\phi_{1}^{3}\tilde{q}_{2}^{3}$	1.1092	1.2232	0.9068	[X:[1.5292], q:[0.8823, 0.3918], qb:[0.8823, 0.4313], phi:[0.2354]]	t^2.118 + t^2.469 + t^3.175 + t^3.822 + t^3.882 + t^3.941 + t^4.237 + 2*t^4.588 + t^4.939 + 2*t^5.294 + 2*t^5.645 + t^5.704 + t^5.941 - t^6. - t^3.706/y - t^4.412/y - t^5.825/y - t^3.706*y - t^4.412*y - t^5.825*y	detail