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
47918	SU3adj1nf2	${}M_{1}\phi_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{1}\phi_{1}q_{2}\tilde{q}_{2}$	1.4951	1.7263	0.8661	[M:[0.6749], q:[0.4938, 0.4938], qb:[0.4938, 0.4938], phi:[0.3375]]	[M:[[-2, 0, -2]], q:[[3, -1, 3], [3, 0, 0]], qb:[[0, 1, 0], [0, 0, 3]], phi:[[-1, 0, -1]]]	3

Relevant Operators	Marginal Operators	$n_{marginal}$$-$$|F_{IR}|$	Superconformal Index	Refined index
${}M_{1}$, ${ }\phi_{1}^{2}$, ${ }q_{2}\tilde{q}_{1}$, ${ }q_{1}\tilde{q}_{1}$, ${ }q_{2}\tilde{q}_{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{3}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{1}^{2}$, ${ }M_{1}\phi_{1}^{2}$, ${ }\phi_{1}^{4}$, ${ }M_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$, ${ }M_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{1}$, ${ }M_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$, ${ }M_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{2}$, ${ }M_{1}\phi_{1}^{3}$, ${ }\phi_{1}^{5}$, ${ }\phi_{1}q_{1}q_{2}^{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}^{2}q_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}^{2}$, ${ }q_{2}^{2}\tilde{q}_{1}^{2}$, ${ }q_{1}q_{2}\tilde{q}_{1}^{2}$, ${ }q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{1}^{2}\tilde{q}_{1}^{2}$, ${ }q_{1}q_{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{2}^{2}\tilde{q}_{2}^{2}$, ${ }q_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{1}q_{2}\tilde{q}_{2}^{2}$, ${ }q_{1}^{2}\tilde{q}_{2}^{2}$	${}\phi_{1}^{3}q_{1}\tilde{q}_{1}$, ${ 2}\phi_{1}^{3}q_{2}\tilde{q}_{1}$, ${ 2}\phi_{1}^{3}q_{1}\tilde{q}_{2}$, ${ 2}\phi_{1}^{3}q_{2}\tilde{q}_{2}$	2	2*t^2.025 + 4*t^2.963 + t^3.037 + 3*t^3.975 + 3*t^4.049 + 12*t^4.988 + 2*t^5.062 + 4*t^5.457 + 10*t^5.926 + 2*t^6. + 5*t^6.074 + 4*t^6.469 + 12*t^6.938 + 16*t^7.012 + 3*t^7.087 + 12*t^7.481 + 37*t^7.951 - t^8.025 + 7*t^8.099 + 16*t^8.42 - 4*t^8.494 + 20*t^8.889 + 9*t^8.963 - t^4.012/y - t^5.025/y - (2*t^6.037)/y - (4*t^6.975)/y - (2*t^7.049)/y + (6*t^7.988)/y - (2*t^8.062)/y + (6*t^8.926)/y - t^4.012*y - t^5.025*y - 2*t^6.037*y - 4*t^6.975*y - 2*t^7.049*y + 6*t^7.988*y - 2*t^8.062*y + 6*t^8.926*y	(2*t^2.025)/(g1^2*g3^2) + g1^3*g2*t^2.963 + 2*g1^3*g3^3*t^2.963 + (g1^3*g3^6*t^2.963)/g2 + t^3.037/(g1^3*g3^3) + (g1^2*g2*t^3.975)/g3 + g1^2*g3^2*t^3.975 + (g1^2*g3^5*t^3.975)/g2 + (3*t^4.049)/(g1^4*g3^4) + (3*g1*g2*t^4.988)/g3^2 + 6*g1*g3*t^4.988 + (3*g1*g3^4*t^4.988)/g2 + (2*t^5.062)/(g1^5*g3^5) + (g1^8*g3^2*t^5.457)/g2 + (g2^2*g3^2*t^5.457)/g1 + (g1^8*g3^5*t^5.457)/g2^2 + (g2*g3^5*t^5.457)/g1 + g1^6*g2^2*t^5.926 + 2*g1^6*g2*g3^3*t^5.926 + 4*g1^6*g3^6*t^5.926 + (2*g1^6*g3^9*t^5.926)/g2 + (g1^6*g3^12*t^5.926)/g2^2 + (g2*t^6.)/g3^3 + (g3^3*t^6.)/g2 + (5*t^6.074)/(g1^6*g3^6) + (g1^7*g3*t^6.469)/g2 + (g2^2*g3*t^6.469)/g1^2 + (g1^7*g3^4*t^6.469)/g2^2 + (g2*g3^4*t^6.469)/g1^2 + (g1^5*g2^2*t^6.938)/g3 + 3*g1^5*g2*g3^2*t^6.938 + 4*g1^5*g3^5*t^6.938 + (3*g1^5*g3^8*t^6.938)/g2 + (g1^5*g3^11*t^6.938)/g2^2 + (4*g2*t^7.012)/(g1*g3^4) + (8*t^7.012)/(g1*g3) + (4*g3^2*t^7.012)/(g1*g2) + (3*t^7.087)/(g1^7*g3^7) + (2*g1^6*t^7.481)/g2 + (2*g2^2*t^7.481)/g1^3 + (g1^6*t^7.481)/g3^3 + (g2^3*t^7.481)/(g1^3*g3^3) + (2*g1^6*g3^3*t^7.481)/g2^2 + (2*g2*g3^3*t^7.481)/g1^3 + (g3^6*t^7.481)/g1^3 + (g1^6*g3^6*t^7.481)/g2^3 + (4*g1^4*g2^2*t^7.951)/g3^2 + 8*g1^4*g2*g3*t^7.951 + 13*g1^4*g3^4*t^7.951 + (8*g1^4*g3^7*t^7.951)/g2 + (4*g1^4*g3^10*t^7.951)/g2^2 - t^8.025/(g1^2*g3^2) + (7*t^8.099)/(g1^8*g3^8) + g1^11*g3^2*t^8.42 + g1^2*g2^3*g3^2*t^8.42 + (3*g1^11*g3^5*t^8.42)/g2 + 3*g1^2*g2^2*g3^5*t^8.42 + (3*g1^11*g3^8*t^8.42)/g2^2 + 3*g1^2*g2*g3^8*t^8.42 + g1^2*g3^11*t^8.42 + (g1^11*g3^11*t^8.42)/g2^3 - (g1^5*t^8.494)/g3^4 - (g2^3*t^8.494)/(g1^4*g3^4) - (g3^5*t^8.494)/g1^4 - (g1^5*g3^5*t^8.494)/g2^3 + g1^9*g2^3*t^8.889 + 2*g1^9*g2^2*g3^3*t^8.889 + 4*g1^9*g2*g3^6*t^8.889 + 6*g1^9*g3^9*t^8.889 + (4*g1^9*g3^12*t^8.889)/g2 + (2*g1^9*g3^15*t^8.889)/g2^2 + (g1^9*g3^18*t^8.889)/g2^3 + 2*g1^3*g2*t^8.963 + (2*g1^3*g2^2*t^8.963)/g3^3 + g1^3*g3^3*t^8.963 + (2*g1^3*g3^6*t^8.963)/g2 + (2*g1^3*g3^9*t^8.963)/g2^2 - t^4.012/(g1*g3*y) - t^5.025/(g1^2*g3^2*y) - (2*t^6.037)/(g1^3*g3^3*y) - (g1^2*g2*t^6.975)/(g3*y) - (2*g1^2*g3^2*t^6.975)/y - (g1^2*g3^5*t^6.975)/(g2*y) - (2*t^7.049)/(g1^4*g3^4*y) + (g1*g2*t^7.988)/(g3^2*y) + (4*g1*g3*t^7.988)/y + (g1*g3^4*t^7.988)/(g2*y) - (2*t^8.062)/(g1^5*g3^5*y) + (2*g1^6*g2*g3^3*t^8.926)/y + (2*g1^6*g3^6*t^8.926)/y + (2*g1^6*g3^9*t^8.926)/(g2*y) - (t^4.012*y)/(g1*g3) - (t^5.025*y)/(g1^2*g3^2) - (2*t^6.037*y)/(g1^3*g3^3) - (g1^2*g2*t^6.975*y)/g3 - 2*g1^2*g3^2*t^6.975*y - (g1^2*g3^5*t^6.975*y)/g2 - (2*t^7.049*y)/(g1^4*g3^4) + (g1*g2*t^7.988*y)/g3^2 + 4*g1*g3*t^7.988*y + (g1*g3^4*t^7.988*y)/g2 - (2*t^8.062*y)/(g1^5*g3^5) + 2*g1^6*g2*g3^3*t^8.926*y + 2*g1^6*g3^6*t^8.926*y + (2*g1^6*g3^9*t^8.926*y)/g2

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
57667	${}M_{1}\phi_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{1}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{3}$	1.4974	1.7349	0.8631	[X:[], M:[0.6911, 0.9634], q:[0.4817, 0.4817], qb:[0.4817, 0.4817], phi:[0.3455]]	2*t^2.07 + 5*t^2.89 + 3*t^3.93 + 3*t^4.15 + 14*t^4.96 + 4*t^5.37 + 15*t^5.78 - 2*t^6. - t^4.04/y - t^5.07/y - t^4.04*y - t^5.07*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
47874	SU3adj1nf2	${}M_{1}\phi_{1}q_{1}\tilde{q}_{1}$	1.4951	1.7264	0.866	[M:[0.6735], q:[0.4945, 0.493], qb:[0.4945, 0.493], phi:[0.3375]]	t^2.021 + t^2.025 + t^2.958 + 2*t^2.962 + t^2.967 + t^3.038 + t^3.971 + 2*t^3.975 + t^4.041 + t^4.046 + t^4.05 + t^4.979 + 4*t^4.983 + 5*t^4.987 + 2*t^4.992 + t^5.058 + t^5.063 + 2*t^5.454 + 2*t^5.458 + t^5.916 + 2*t^5.92 + 4*t^5.925 + 2*t^5.929 + t^5.934 + t^5.991 + 2*t^5.996 - t^4.013/y - t^5.025/y - t^4.013*y - t^5.025*y	detail