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
57678	SU3adj1nf2	${}\phi_{1}q_{1}^{2}q_{2}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }\phi_{1}^{3}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}q_{1}\tilde{q}_{1}$	1.3263	1.4951	0.8871	[X:[1.3834], M:[], q:[0.6667, 0.3583], qb:[0.7167, 0.4084], phi:[0.3083]]	[X:[[2]], M:[], q:[[0], [1]], qb:[[2], [3]], phi:[[-1]]]	1

Relevant Operators	Marginal Operators	$n_{marginal}$$-$$|F_{IR}|$	Superconformal Index	Refined index
${}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}^{3}$, ${ }q_{2}\tilde{q}_{1}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$, ${ }X_{1}$, ${ }q_{2}^{2}\tilde{q}_{2}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{2}$, ${ }q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{1}q_{2}\tilde{q}_{2}^{2}$, ${ }\phi_{1}q_{2}^{2}\tilde{q}_{2}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}^{6}$	${}\phi_{1}^{3}q_{2}^{3}$, ${ }\phi_{1}^{3}q_{1}\tilde{q}_{2}$	1	t^2.3 + t^2.77 + 3*t^3.23 + 5*t^4.15 + t^4.6 + 3*t^5.08 + 4*t^5.53 + t^5.55 + t^6. + 14*t^6.45 + t^6.9 - 2*t^6.92 + 17*t^7.38 + 4*t^7.83 - 4*t^7.85 + 15*t^8.3 + t^8.32 + 17*t^8.75 - 2*t^8.77 + t^8.77/y^2 - t^3.92/y - t^4.85/y - t^6.23/y - t^6.7/y - (3*t^7.15)/y - t^7.62/y - (3*t^8.08)/y + (2*t^8.53)/y - t^3.92*y - t^4.85*y - t^6.23*y - t^6.7*y - 3*t^7.15*y - t^7.62*y - 3*t^8.08*y + 2*t^8.53*y + t^8.77*y^2	g1^4*t^2.3 + t^2.77/g1^3 + 3*g1^3*t^3.23 + 5*g1^2*t^4.15 + g1^8*t^4.6 + 3*g1*t^5.08 + 4*g1^7*t^5.53 + t^5.55/g1^6 + t^6. + 14*g1^6*t^6.45 + g1^12*t^6.9 - (2*t^6.92)/g1 + 17*g1^5*t^7.38 + 4*g1^11*t^7.83 - (4*t^7.85)/g1^2 + 15*g1^4*t^8.3 + t^8.32/g1^9 + 17*g1^10*t^8.75 - (2*t^8.77)/g1^3 + t^8.77/(g1^3*y^2) - t^3.92/(g1*y) - t^4.85/(g1^2*y) - (g1^3*t^6.23)/y - t^6.7/(g1^4*y) - (3*g1^2*t^7.15)/y - t^7.62/(g1^5*y) - (3*g1*t^8.08)/y + (2*g1^7*t^8.53)/y - (t^3.92*y)/g1 - (t^4.85*y)/g1^2 - g1^3*t^6.23*y - (t^6.7*y)/g1^4 - 3*g1^2*t^7.15*y - (t^7.62*y)/g1^5 - 3*g1*t^8.08*y + 2*g1^7*t^8.53*y + (t^8.77*y^2)/g1^3

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
60650	${}\phi_{1}q_{1}^{2}q_{2}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }\phi_{1}^{3}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}q_{1}\tilde{q}_{1}$ + ${ }M_{1}\phi_{1}^{3}$	1.3203	1.4902	0.8859	[X:[1.3707], M:[1.0561], q:[0.6667, 0.352], qb:[0.7041, 0.3894], phi:[0.3146]]	t^2.22 + 4*t^3.17 + 5*t^4.11 + t^4.45 + 2*t^5.06 + 5*t^5.39 - 2*t^6. - t^3.94/y - t^4.89/y - t^3.94*y - t^4.89*y	detail
59024	${}\phi_{1}q_{1}^{2}q_{2}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }\phi_{1}^{3}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}q_{1}\tilde{q}_{1}$ + ${ }M_{1}q_{2}\tilde{q}_{2}$	1.3085	1.4601	0.8962	[X:[1.3939], M:[1.2121], q:[0.6667, 0.3636], qb:[0.7273, 0.4242], phi:[0.303]]	t^2.73 + 3*t^3.27 + t^3.64 + 5*t^4.18 + 2*t^5.09 + t^5.45 + t^5.64 + t^6. - t^3.91/y - t^4.82/y - t^3.91*y - t^4.82*y	detail	{a: 475/363, c: 530/363, X1: 46/33, M1: 40/33, q1: 2/3, q2: 4/11, qb1: 8/11, qb2: 14/33, phi1: 10/33}
60721	${}\phi_{1}q_{1}^{2}q_{2}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }\phi_{1}^{3}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}q_{1}\tilde{q}_{1}$ + ${ }q_{2}^{2}\tilde{q}_{2}^{2}$	1.2598	1.3848	0.9097	[X:[1.5], M:[], q:[0.6667, 0.4167], qb:[0.8333, 0.5833], phi:[0.25]]	t^2.25 + t^3. + 3*t^3.75 + 6*t^4.5 + 3*t^5.25 + 2*t^6. - t^3.75/y - t^4.5/y - t^6./y - t^3.75*y - t^4.5*y - t^6.*y	detail	{a: 645/512, c: 709/512, X1: 3/2, q1: 2/3, q2: 5/12, qb1: 5/6, qb2: 7/12, phi1: 1/4}

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
47940	SU3adj1nf2	${}\phi_{1}q_{1}^{2}q_{2}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }\phi_{1}^{3}q_{2}\tilde{q}_{1}$	1.4418	1.621	0.8894	[X:[1.3555], q:[0.5678, 0.5422], qb:[0.491, 0.4654], phi:[0.3223]]	t^2.9 + t^3.023 + 2*t^3.1 + t^3.176 + t^3.99 + 3*t^4.066 + t^4.143 + t^4.956 + 2*t^5.033 + t^5.11 + t^5.232 + t^5.309 + t^5.801 - t^6. - t^3.967/y - t^4.934/y - t^3.967*y - t^4.934*y	detail