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
57744	SU3adj1nf2	${}M_{1}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }M_{1}\phi_{1}^{3}$ + ${ }M_{2}\phi_{1}^{3}$	1.4551	1.6491	0.8824	[X:[1.3219], M:[0.9829, 0.9829], q:[0.5085, 0.4744], qb:[0.5085, 0.4744], phi:[0.339]]	[X:[[0, 0, 2]], M:[[0, 0, 3], [0, 0, 3]], q:[[-1, 0, -3], [0, -1, 9]], qb:[[1, 0, 0], [0, 1, 0]], phi:[[0, 0, -1]]]	3

Relevant Operators	Marginal Operators	$n_{marginal}$$-$$|F_{IR}|$	Superconformal Index	Refined index
${}q_{2}\tilde{q}_{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }M_{1}$, ${ }M_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }X_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}\tilde{q}_{2}$, ${ }q_{2}^{2}\tilde{q}_{2}^{2}$, ${ }q_{1}q_{2}\tilde{q}_{2}^{2}$, ${ }M_{1}q_{2}\tilde{q}_{2}$, ${ }M_{2}q_{2}\tilde{q}_{2}$, ${ }M_{2}q_{1}\tilde{q}_{2}$, ${ }q_{1}^{2}\tilde{q}_{2}^{2}$, ${ }M_{1}^{2}$, ${ }M_{1}M_{2}$, ${ }M_{2}^{2}$, ${ }q_{1}q_{2}\tilde{q}_{1}\tilde{q}_{2}$	${}$	-4	t^2.85 + 4*t^2.95 + t^3.86 + 3*t^3.97 + t^4.07 + t^4.88 + 2*t^4.98 + t^5.09 + 2*t^5.39 + 2*t^5.49 + t^5.69 + 4*t^5.79 + 8*t^5.9 - 4*t^6. - 2*t^6.1 + 2*t^6.41 + 2*t^6.51 + t^6.71 + 7*t^6.81 + 11*t^6.91 + t^7.02 - 2*t^7.12 + 2*t^7.32 + 2*t^7.63 + 2*t^7.73 + 8*t^7.83 + 11*t^7.93 + 4*t^8.03 - t^8.14 + 2*t^8.24 + 8*t^8.34 + 2*t^8.44 - 5*t^8.54 + 4*t^8.64 - 2*t^8.65 + 9*t^8.74 + 12*t^8.85 - 12*t^8.95 - t^4.02/y - t^5.03/y - t^6.86/y - (4*t^6.97)/y - t^7.88/y - (4*t^7.98)/y + (4*t^8.79)/y + (5*t^8.9)/y - t^4.02*y - t^5.03*y - t^6.86*y - 4*t^6.97*y - t^7.88*y - 4*t^7.98*y + 4*t^8.79*y + 5*t^8.9*y	g3^9*t^2.85 + (g2*t^2.95)/(g1*g3^3) + 2*g3^3*t^2.95 + (g1*g3^9*t^2.95)/g2 + g3^8*t^3.86 + (g2*t^3.97)/(g1*g3^4) + g3^2*t^3.97 + (g1*g3^8*t^3.97)/g2 + t^4.07/g3^4 + g3^7*t^4.88 + (g2*t^4.98)/(g1*g3^5) + (g1*g3^7*t^4.98)/g2 + t^5.09/g3^5 + (g1*g2^2*t^5.39)/g3 + (g3^14*t^5.39)/(g1*g2^2) + (g1^2*g2*t^5.49)/g3 + (g3^2*t^5.49)/(g1^2*g2) + g3^18*t^5.69 + (g2*g3^6*t^5.79)/g1 + 2*g3^12*t^5.79 + (g1*g3^18*t^5.79)/g2 + (g2*t^5.9)/g1 + (g2^2*t^5.9)/(g1^2*g3^6) + 4*g3^6*t^5.9 + (g1*g3^12*t^5.9)/g2 + (g1^2*g3^18*t^5.9)/g2^2 - 4*t^6. - (g1*t^6.1)/g2 - (g2*t^6.1)/(g1*g3^12) + (g1*g2^2*t^6.41)/g3^2 + (g3^13*t^6.41)/(g1*g2^2) + (g1^2*g2*t^6.51)/g3^2 + (g3*t^6.51)/(g1^2*g2) + g3^17*t^6.71 + (2*g2*g3^5*t^6.81)/g1 + 3*g3^11*t^6.81 + (2*g1*g3^17*t^6.81)/g2 + (g2^2*t^6.91)/(g1^2*g3^7) + (2*g2*t^6.91)/(g1*g3) + 5*g3^5*t^6.91 + (2*g1*g3^11*t^6.91)/g2 + (g1^2*g3^17*t^6.91)/g2^2 + (g2*t^7.02)/(g1*g3^7) - t^7.02/g3 + (g1*g3^5*t^7.02)/g2 - (g2*t^7.12)/(g1*g3^13) - (g1*t^7.12)/(g2*g3) + (g2^3*t^7.32)/g3^3 + (g3^24*t^7.32)/g2^3 + (g1*g2^2*t^7.42)/g3^3 - g1^2*g2*g3^3*t^7.42 - (g3^6*t^7.42)/(g1^2*g2) + (g3^12*t^7.42)/(g1*g2^2) + t^7.53/(g1^2*g2) - (g1*g2^2*t^7.53)/g3^9 + (g1^2*g2*t^7.53)/g3^3 - (g3^6*t^7.53)/(g1*g2^2) + t^7.63/(g1^3*g3^12) + (g1^3*t^7.63)/g3^3 + 2*g3^16*t^7.73 + (3*g2*g3^4*t^7.83)/g1 + 2*g3^10*t^7.83 + (3*g1*g3^16*t^7.83)/g2 + (2*g2^2*t^7.93)/(g1^2*g3^8) + (g2*t^7.93)/(g1*g3^2) + 5*g3^4*t^7.93 + (g1*g3^10*t^7.93)/g2 + (2*g1^2*g3^16*t^7.93)/g2^2 + (2*g2*t^8.03)/(g1*g3^8) + (2*g1*g3^4*t^8.03)/g2 - (g2*t^8.14)/(g1*g3^14) + t^8.14/g3^8 - (g1*t^8.14)/(g2*g3^2) + g1*g2^2*g3^8*t^8.24 + (g3^23*t^8.24)/(g1*g2^2) + (g2^3*t^8.34)/g3^4 + g1*g2^2*g3^2*t^8.34 + 2*g1^2*g2*g3^8*t^8.34 + (2*g3^11*t^8.34)/(g1^2*g2) + (g3^17*t^8.34)/(g1*g2^2) + (g3^23*t^8.34)/g2^3 - (g2^3*t^8.44)/g3^10 + (g1*g2^2*t^8.44)/g3^4 + t^8.44/(g1^3*g3) + g1^3*g3^8*t^8.44 + (g3^11*t^8.44)/(g1*g2^2) - (g3^17*t^8.44)/g2^3 - (2*g1*g2^2*t^8.54)/g3^10 - t^8.54/(g1^3*g3^7) - g1^3*g3^2*t^8.54 - (2*g3^5*t^8.54)/(g1*g2^2) + g3^27*t^8.54 + (g2*g3^15*t^8.64)/g1 + 2*g3^21*t^8.64 + (g1*g3^27*t^8.64)/g2 - (g1^2*g2*t^8.65)/g3^10 - t^8.65/(g1^2*g2*g3^7) + (g2^2*g3^3*t^8.74)/g1^2 + (g2*g3^9*t^8.74)/g1 + 5*g3^15*t^8.74 + (g1*g3^21*t^8.74)/g2 + (g1^2*g3^27*t^8.74)/g2^2 + (g2^3*t^8.85)/(g1^3*g3^9) + (g2^2*t^8.85)/(g1^2*g3^3) + (4*g2*g3^3*t^8.85)/g1 + (4*g1*g3^15*t^8.85)/g2 + (g1^2*g3^21*t^8.85)/g2^2 + (g1^3*g3^27*t^8.85)/g2^3 + (g2^2*t^8.95)/(g1^2*g3^9) - (5*g2*t^8.95)/(g1*g3^3) - 4*g3^3*t^8.95 - (5*g1*g3^9*t^8.95)/g2 + (g1^2*g3^15*t^8.95)/g2^2 - t^4.02/(g3*y) - t^5.03/(g3^2*y) - (g3^8*t^6.86)/y - (g2*t^6.97)/(g1*g3^4*y) - (2*g3^2*t^6.97)/y - (g1*g3^8*t^6.97)/(g2*y) - (g3^7*t^7.88)/y - (g2*t^7.98)/(g1*g3^5*y) - (2*g3*t^7.98)/y - (g1*g3^7*t^7.98)/(g2*y) + (g2*g3^6*t^8.79)/(g1*y) + (2*g3^12*t^8.79)/y + (g1*g3^18*t^8.79)/(g2*y) + (2*g2*t^8.9)/(g1*y) + (g3^6*t^8.9)/y + (2*g1*g3^12*t^8.9)/(g2*y) - (t^4.02*y)/g3 - (t^5.03*y)/g3^2 - g3^8*t^6.86*y - (g2*t^6.97*y)/(g1*g3^4) - 2*g3^2*t^6.97*y - (g1*g3^8*t^6.97*y)/g2 - g3^7*t^7.88*y - (g2*t^7.98*y)/(g1*g3^5) - 2*g3*t^7.98*y - (g1*g3^7*t^7.98*y)/g2 + (g2*g3^6*t^8.79*y)/g1 + 2*g3^12*t^8.79*y + (g1*g3^18*t^8.79*y)/g2 + (2*g2*t^8.9*y)/g1 + g3^6*t^8.9*y + (2*g1*g3^12*t^8.9*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
60506	${}M_{1}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }M_{1}\phi_{1}^{3}$ + ${ }M_{2}\phi_{1}^{3}$ + ${ }M_{2}q_{1}\tilde{q}_{2}$	1.4543	1.6455	0.8838	[X:[1.3268], M:[0.9902, 0.9902], q:[0.5149, 0.4756], qb:[0.4949, 0.4949], phi:[0.3366]]	2*t^2.91 + 2*t^2.97 + t^3.03 + 2*t^3.92 + t^3.98 + 2*t^4.04 + 2*t^4.93 + 2*t^5.05 + t^5.41 + 2*t^5.46 + t^5.53 + 3*t^5.82 + 3*t^5.88 + 5*t^5.94 - 4*t^6. - t^4.01/y - t^5.02/y - t^4.01*y - t^5.02*y	detail
59402	${}M_{1}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }M_{1}\phi_{1}^{3}$ + ${ }M_{2}\phi_{1}^{3}$ + ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}^{2}$	1.4397	1.6241	0.8865	[X:[1.3389], M:[1.0083, 1.0083], q:[0.4669, 0.4527], qb:[0.5248, 0.5723], phi:[0.3306]]	t^2.93 + 2*t^3.03 + t^3.08 + t^3.12 + t^3.92 + t^3.97 + t^4.02 + t^4.07 + t^4.11 + t^4.92 + t^4.96 + t^5.06 + t^5.1 + t^5.11 + t^5.15 + t^5.86 + t^5.96 - 3*t^6. - t^3.99/y - t^4.98/y - t^3.99*y - t^4.98*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
47951	SU3adj1nf2	${}M_{1}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }M_{1}\phi_{1}^{3}$	1.4539	1.6446	0.884	[X:[1.3264], M:[0.9896], q:[0.5052, 0.4845], qb:[0.5052, 0.4845], phi:[0.3368]]	t^2.907 + 3*t^2.969 + t^3.031 + t^3.917 + 3*t^3.979 + t^4.041 + t^4.928 + 2*t^4.99 + t^5.052 + 2*t^5.433 + 2*t^5.495 + t^5.814 + 3*t^5.876 + 5*t^5.938 - t^6. - t^4.01/y - t^5.021/y - t^4.01*y - t^5.021*y	detail