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
57667	SU3adj1nf2	${}M_{1}\phi_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{1}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{3}$	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]]	[X:[], M:[[-2, 0, -2], [3, 0, 3]], 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
${}M_{1}$, ${ }\phi_{1}^{2}$, ${ }q_{2}\tilde{q}_{1}$, ${ }M_{2}$, ${ }q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{1}^{2}$, ${ }M_{1}\phi_{1}^{2}$, ${ }\phi_{1}^{4}$, ${ }M_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$, ${ }M_{1}M_{2}$, ${ }M_{2}\phi_{1}^{2}$, ${ }M_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}q_{2}^{2}$, ${ }q_{2}^{2}\tilde{q}_{1}^{2}$, ${ }M_{2}q_{2}\tilde{q}_{1}$, ${ }q_{1}q_{2}\tilde{q}_{1}^{2}$, ${ }q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{2}^{2}$, ${ }M_{2}q_{1}\tilde{q}_{1}$, ${ }q_{1}^{2}\tilde{q}_{1}^{2}$, ${ }q_{1}q_{2}\tilde{q}_{1}\tilde{q}_{2}$	${}\phi_{1}^{3}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{3}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{3}q_{2}\tilde{q}_{2}$	-2	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. + 4*t^6.22 + 4*t^6.41 + 15*t^6.82 + 16*t^7.04 + 12*t^7.45 + 51*t^7.85 - 13*t^8.07 + 20*t^8.26 + 5*t^8.29 - 8*t^8.48 + 35*t^8.67 - 3*t^8.89 - t^4.04/y - t^5.07/y - (2*t^6.11)/y - (5*t^6.93)/y - t^7.15/y + (7*t^7.96)/y - (3*t^8.18)/y + (10*t^8.78)/y - t^4.04*y - t^5.07*y - 2*t^6.11*y - 5*t^6.93*y - t^7.15*y + 7*t^7.96*y - 3*t^8.18*y + 10*t^8.78*y	(2*t^2.07)/(g1^2*g3^2) + g1^3*g2*t^2.89 + 3*g1^3*g3^3*t^2.89 + (g1^3*g3^6*t^2.89)/g2 + (g1^2*g2*t^3.93)/g3 + g1^2*g3^2*t^3.93 + (g1^2*g3^5*t^3.93)/g2 + (3*t^4.15)/(g1^4*g3^4) + (3*g1*g2*t^4.96)/g3^2 + 8*g1*g3*t^4.96 + (3*g1*g3^4*t^4.96)/g2 + (g1^8*g3^2*t^5.37)/g2 + (g2^2*g3^2*t^5.37)/g1 + (g1^8*g3^5*t^5.37)/g2^2 + (g2*g3^5*t^5.37)/g1 + g1^6*g2^2*t^5.78 + 3*g1^6*g2*g3^3*t^5.78 + 7*g1^6*g3^6*t^5.78 + (3*g1^6*g3^9*t^5.78)/g2 + (g1^6*g3^12*t^5.78)/g2^2 - 2*t^6. + (4*t^6.22)/(g1^6*g3^6) + (g1^7*g3*t^6.41)/g2 + (g2^2*g3*t^6.41)/g1^2 + (g1^7*g3^4*t^6.41)/g2^2 + (g2*g3^4*t^6.41)/g1^2 + (g1^5*g2^2*t^6.82)/g3 + 4*g1^5*g2*g3^2*t^6.82 + 5*g1^5*g3^5*t^6.82 + (4*g1^5*g3^8*t^6.82)/g2 + (g1^5*g3^11*t^6.82)/g2^2 + (3*g2*t^7.04)/(g1*g3^4) + (10*t^7.04)/(g1*g3) + (3*g3^2*t^7.04)/(g1*g2) + (2*g1^6*t^7.45)/g2 + (2*g2^2*t^7.45)/g1^3 + (g1^6*t^7.45)/g3^3 + (g2^3*t^7.45)/(g1^3*g3^3) + (2*g1^6*g3^3*t^7.45)/g2^2 + (2*g2*g3^3*t^7.45)/g1^3 + (g3^6*t^7.45)/g1^3 + (g1^6*g3^6*t^7.45)/g2^3 + (4*g1^4*g2^2*t^7.85)/g3^2 + 11*g1^4*g2*g3*t^7.85 + 21*g1^4*g3^4*t^7.85 + (11*g1^4*g3^7*t^7.85)/g2 + (4*g1^4*g3^10*t^7.85)/g2^2 - (3*g2*t^8.07)/(g1^2*g3^5) - (7*t^8.07)/(g1^2*g3^2) - (3*g3*t^8.07)/(g1^2*g2) + g1^11*g3^2*t^8.26 + g1^2*g2^3*g3^2*t^8.26 + (4*g1^11*g3^5*t^8.26)/g2 + 4*g1^2*g2^2*g3^5*t^8.26 + (4*g1^11*g3^8*t^8.26)/g2^2 + 4*g1^2*g2*g3^8*t^8.26 + g1^2*g3^11*t^8.26 + (g1^11*g3^11*t^8.26)/g2^3 + (5*t^8.29)/(g1^8*g3^8) - (g1^5*t^8.48)/g3^4 - (g2^3*t^8.48)/(g1^4*g3^4) - (g1^5*t^8.48)/(g2*g3) - (g2^2*t^8.48)/(g1^4*g3) - (g1^5*g3^2*t^8.48)/g2^2 - (g2*g3^2*t^8.48)/g1^4 - (g3^5*t^8.48)/g1^4 - (g1^5*g3^5*t^8.48)/g2^3 + g1^9*g2^3*t^8.67 + 3*g1^9*g2^2*g3^3*t^8.67 + 7*g1^9*g2*g3^6*t^8.67 + 13*g1^9*g3^9*t^8.67 + (7*g1^9*g3^12*t^8.67)/g2 + (3*g1^9*g3^15*t^8.67)/g2^2 + (g1^9*g3^18*t^8.67)/g2^3 + (g1^3*g2^2*t^8.89)/g3^3 - 5*g1^3*g3^3*t^8.89 + (g1^3*g3^9*t^8.89)/g2^2 - t^4.04/(g1*g3*y) - t^5.07/(g1^2*g3^2*y) - (2*t^6.11)/(g1^3*g3^3*y) - (g1^2*g2*t^6.93)/(g3*y) - (3*g1^2*g3^2*t^6.93)/y - (g1^2*g3^5*t^6.93)/(g2*y) - t^7.15/(g1^4*g3^4*y) + (g1*g2*t^7.96)/(g3^2*y) + (5*g1*g3*t^7.96)/y + (g1*g3^4*t^7.96)/(g2*y) - (3*t^8.18)/(g1^5*g3^5*y) + (3*g1^6*g2*g3^3*t^8.78)/y + (4*g1^6*g3^6*t^8.78)/y + (3*g1^6*g3^9*t^8.78)/(g2*y) - (t^4.04*y)/(g1*g3) - (t^5.07*y)/(g1^2*g3^2) - (2*t^6.11*y)/(g1^3*g3^3) - (g1^2*g2*t^6.93*y)/g3 - 3*g1^2*g3^2*t^6.93*y - (g1^2*g3^5*t^6.93*y)/g2 - (t^7.15*y)/(g1^4*g3^4) + (g1*g2*t^7.96*y)/g3^2 + 5*g1*g3*t^7.96*y + (g1*g3^4*t^7.96*y)/g2 - (3*t^8.18*y)/(g1^5*g3^5) + 3*g1^6*g2*g3^3*t^8.78*y + 4*g1^6*g3^6*t^8.78*y + (3*g1^6*g3^9*t^8.78*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
58581	${}M_{1}\phi_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{1}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{3}$ + ${ }M_{2}q_{2}\tilde{q}_{1}$	1.4955	1.727	0.866	[X:[], M:[0.6733, 0.99], q:[0.485, 0.505], qb:[0.505, 0.485], phi:[0.3367]]	2*t^2.02 + t^2.91 + 3*t^2.97 + t^3.03 + t^3.92 + t^3.98 + 4*t^4.04 + 3*t^4.93 + 8*t^4.99 + 3*t^5.05 + 2*t^5.44 + 2*t^5.5 + t^5.82 + 3*t^5.88 + 7*t^5.94 + t^6. - t^4.01/y - t^5.02/y - t^4.01*y - t^5.02*y	detail
58947	${}M_{1}\phi_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{1}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{3}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$	1.4968	1.7302	0.8651	[X:[], M:[0.6747, 0.988, 0.9756], q:[0.4758, 0.5122], qb:[0.5122, 0.4758], phi:[0.3373]]	2*t^2.02 + t^2.85 + t^2.93 + 3*t^2.96 + t^3.87 + t^3.98 + 3*t^4.05 + t^4.09 + 3*t^4.88 + 2*t^4.95 + 8*t^4.99 + t^5.1 + 2*t^5.4 + 2*t^5.51 + t^5.71 + t^5.78 + 3*t^5.82 + t^5.85 + 3*t^5.89 + 6*t^5.93 - 2*t^6. - t^4.01/y - t^5.02/y - t^4.01*y - t^5.02*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
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]]	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. - t^4.012/y - t^5.025/y - t^4.012*y - t^5.025*y	detail