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
57629	SU3adj1nf2	${}M_{1}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}q_{1}^{2}\tilde{q}_{2}^{2}$	1.3395	1.5024	0.8916	[X:[1.4286], M:[0.8223], q:[0.4402, 0.6911], qb:[0.7375, 0.417], phi:[0.2857]]	[X:[[0, 0]], M:[[-1, 1]], q:[[0, -1], [-1, 0]], qb:[[1, 0], [0, 1]], phi:[[0, 0]]]	2

Relevant Operators	Marginal Operators	$n_{marginal}$$-$$|F_{IR}|$	Superconformal Index	Refined index
${}M_{1}$, ${ }\phi_{1}^{3}$, ${ }q_{1}\tilde{q}_{2}$, ${ }q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{2}$, ${ }X_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{1}^{2}$, ${ }M_{1}\phi_{1}^{3}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}^{6}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{3}q_{1}\tilde{q}_{2}$, ${ }q_{1}^{2}\tilde{q}_{2}^{2}$, ${ }\phi_{1}q_{1}^{2}q_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}^{2}$, ${ }M_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}^{3}q_{2}\tilde{q}_{2}$, ${ }q_{1}q_{2}\tilde{q}_{2}^{2}$	${}\phi_{1}^{4}q_{1}\tilde{q}_{2}$	-1	t^2.47 + 2*t^2.57 + t^3.32 + t^3.43 + t^4.18 + 3*t^4.29 + t^4.39 + t^4.93 + 2*t^5.04 + 4*t^5.14 + 2*t^5.57 + t^5.79 + 2*t^5.9 - t^6. - t^6.1 + 2*t^6.32 + 2*t^6.43 + 2*t^6.53 + 2*t^6.65 + 4*t^6.75 + 5*t^6.86 + t^7.4 + 3*t^7.51 + 7*t^7.61 + 8*t^7.71 - 2*t^8.25 + t^8.26 + 3*t^8.36 + 3*t^8.47 + 4*t^8.57 + t^8.78 + 2*t^8.79 + 6*t^8.9 + t^8.57/y^2 - t^3.86/y - t^4.71/y - t^6.32/y - (2*t^6.43)/y - (2*t^7.18)/y - (2*t^7.29)/y + t^8.04/y - t^8.14/y + t^8.9/y - t^3.86*y - t^4.71*y - t^6.32*y - 2*t^6.43*y - 2*t^7.18*y - 2*t^7.29*y + t^8.04*y - t^8.14*y + t^8.9*y + t^8.57*y^2	(g2*t^2.47)/g1 + 2*t^2.57 + (g2*t^3.32)/g1 + t^3.43 + (g2*t^4.18)/g1 + 3*t^4.29 + (g1*t^4.39)/g2 + (g2^2*t^4.93)/g1^2 + (2*g2*t^5.04)/g1 + 4*t^5.14 + t^5.57/(g1*g2^2) + g1*g2^2*t^5.57 + (g2^2*t^5.79)/g1^2 + (2*g2*t^5.9)/g1 - t^6. - (g1*t^6.1)/g2 + t^6.32/(g1^2*g2) + g2^3*t^6.32 + t^6.43/(g1*g2^2) + g1*g2^2*t^6.43 + t^6.53/g2^3 + g1^2*g2*t^6.53 + (2*g2^2*t^6.65)/g1^2 + (4*g2*t^6.75)/g1 + 5*t^6.86 + (g2^3*t^7.4)/g1^3 + (3*g2^2*t^7.51)/g1^2 + (7*g2*t^7.61)/g1 + 8*t^7.71 - t^8.25/g2^3 - g1^2*g2*t^8.25 + (g2^3*t^8.26)/g1^3 + (3*g2^2*t^8.36)/g1^2 + (3*g2*t^8.47)/g1 + 4*t^8.57 + (g1^2*t^8.78)/g2^2 + t^8.79/g1^3 + (g2^4*t^8.79)/g1 + (3*t^8.9)/(g1^2*g2) + 3*g2^3*t^8.9 + t^8.57/y^2 - t^3.86/y - t^4.71/y - (g2*t^6.32)/(g1*y) - (2*t^6.43)/y - (2*g2*t^7.18)/(g1*y) - (2*t^7.29)/y + (g2*t^8.04)/(g1*y) - t^8.14/y + (g2*t^8.9)/(g1*y) - t^3.86*y - t^4.71*y - (g2*t^6.32*y)/g1 - 2*t^6.43*y - (2*g2*t^7.18*y)/g1 - 2*t^7.29*y + (g2*t^8.04*y)/g1 - t^8.14*y + (g2*t^8.9*y)/g1 + t^8.57*y^2

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
58593	${}M_{1}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}q_{1}^{2}\tilde{q}_{2}^{2}$ + ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}^{2}$	1.3297	1.4926	0.8909	[X:[1.4286], M:[0.8223], q:[0.3926, 0.6435], qb:[0.7851, 0.4646], phi:[0.2857]]	t^2.47 + 2*t^2.57 + t^3.32 + t^3.43 + t^4.18 + 3*t^4.29 + t^4.39 + t^4.93 + 2*t^5.04 + 5*t^5.14 + t^5.79 + 3*t^5.9 + t^6. - t^3.86/y - t^4.71/y - t^3.86*y - t^4.71*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
47931	SU3adj1nf2	${}M_{1}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$	1.3411	1.5094	0.8885	[X:[1.4098], M:[0.848], q:[0.4222, 0.68], qb:[0.7297, 0.3974], phi:[0.2951]]	t^2.459 + t^2.544 + t^2.656 + t^3.232 + t^3.344 + t^4.117 + 3*t^4.229 + t^4.341 + t^4.917 + t^5.003 + t^5.088 + 2*t^5.115 + t^5.2 + t^5.312 + 2*t^5.459 + t^5.691 + t^5.776 + t^5.803 + t^5.888 - 2*t^6. - t^3.885/y - t^4.771/y - t^3.885*y - t^4.771*y	detail