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
4801	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{6}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{7}\phi_{1}q_{2}^{2}$ + ${ }M_{3}M_{8}$ + ${ }M_{6}M_{8}$	0.6708	0.8437	0.795	[M:[0.8655, 0.7345, 0.7673, 0.8327, 1.1673, 0.7673, 0.8655, 1.2327], q:[0.7673, 0.3673], qb:[0.4655, 0.8], phi:[0.4]]	[M:[[2], [-2], [-1], [1], [-1], [-1], [2], [1]], q:[[-1], [-1]], qb:[[2], [0]], phi:[[0]]]	1

Relevant Operators	Marginal Operators	$n_{marginal}$$-$$|F_{IR}|$	Superconformal Index	Refined index
${}M_{2}$, ${ }M_{6}$, ${ }\phi_{1}^{2}$, ${ }M_{4}$, ${ }M_{1}$, ${ }M_{7}$, ${ }M_{5}$, ${ }M_{8}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{2}^{2}$, ${ }M_{2}M_{6}$, ${ }M_{6}^{2}$, ${ }M_{2}\phi_{1}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }M_{2}M_{4}$, ${ }M_{6}\phi_{1}^{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{1}M_{2}$, ${ }M_{4}M_{6}$, ${ }M_{2}M_{7}$, ${ }\phi_{1}^{4}$, ${ }M_{1}M_{6}$, ${ }M_{6}M_{7}$, ${ }M_{4}\phi_{1}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{4}^{2}$, ${ }M_{1}\phi_{1}^{2}$, ${ }M_{7}\phi_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{1}M_{4}$, ${ }M_{4}M_{7}$, ${ }M_{1}^{2}$, ${ }M_{1}M_{7}$, ${ }M_{7}^{2}$, ${ }M_{5}M_{6}$, ${ }\phi_{1}q_{1}^{2}$, ${ }M_{2}M_{8}$, ${ }M_{5}\phi_{1}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$	${}$	-2	t^2.204 + t^2.302 + t^2.4 + t^2.498 + 2*t^2.596 + t^3.502 + t^3.698 + t^3.993 + t^4.407 + t^4.505 + 3*t^4.604 + 3*t^4.702 + 3*t^4.8 + 4*t^4.898 + 3*t^4.996 + t^5.095 + 3*t^5.193 + 2*t^5.804 + t^5.902 - 2*t^6. + 2*t^6.098 + t^6.196 + t^6.295 + t^6.393 + t^6.491 + 2*t^6.589 + t^6.611 + t^6.709 + 3*t^6.807 + 3*t^6.905 + 5*t^7.004 + 5*t^7.102 + 6*t^7.2 + 5*t^7.298 + 6*t^7.396 + 6*t^7.495 + 3*t^7.593 + 2*t^7.691 + 4*t^7.789 + t^7.986 + t^8.007 + t^8.105 - 2*t^8.204 - 3*t^8.302 - 2*t^8.498 - 4*t^8.596 + 3*t^8.695 + t^8.793 + t^8.814 + 3*t^8.891 + t^8.913 + 3*t^8.989 - t^4.2/y - t^6.404/y - t^6.502/y - t^6.6/y - (2*t^6.796)/y + t^7.505/y + (3*t^7.604)/y + (2*t^7.702)/y + (4*t^7.8)/y + (4*t^7.898)/y + (3*t^7.996)/y + (2*t^8.095)/y + t^8.193/y - t^8.607/y - t^8.804/y + t^8.902/y - t^4.2*y - t^6.404*y - t^6.502*y - t^6.6*y - 2*t^6.796*y + t^7.505*y + 3*t^7.604*y + 2*t^7.702*y + 4*t^7.8*y + 4*t^7.898*y + 3*t^7.996*y + 2*t^8.095*y + t^8.193*y - t^8.607*y - t^8.804*y + t^8.902*y	t^2.204/g1^2 + t^2.302/g1 + t^2.4 + g1*t^2.498 + 2*g1^2*t^2.596 + t^3.502/g1 + g1*t^3.698 + g1^4*t^3.993 + t^4.407/g1^4 + t^4.505/g1^3 + (3*t^4.604)/g1^2 + (3*t^4.702)/g1 + 3*t^4.8 + 4*g1*t^4.898 + 3*g1^2*t^4.996 + g1^3*t^5.095 + 3*g1^4*t^5.193 + (2*t^5.804)/g1^2 + t^5.902/g1 - 2*t^6. + 2*g1*t^6.098 + g1^2*t^6.196 + g1^3*t^6.295 + g1^4*t^6.393 + g1^5*t^6.491 + 2*g1^6*t^6.589 + t^6.611/g1^6 + t^6.709/g1^5 + (3*t^6.807)/g1^4 + (3*t^6.905)/g1^3 + (5*t^7.004)/g1^2 + (5*t^7.102)/g1 + 6*t^7.2 + 5*g1*t^7.298 + 6*g1^2*t^7.396 + 6*g1^3*t^7.495 + 3*g1^4*t^7.593 + 2*g1^5*t^7.691 + 4*g1^6*t^7.789 + g1^8*t^7.986 + t^8.007/g1^4 + t^8.105/g1^3 - (2*t^8.204)/g1^2 - (3*t^8.302)/g1 - 2*g1*t^8.498 - 4*g1^2*t^8.596 + 3*g1^3*t^8.695 + g1^4*t^8.793 + t^8.814/g1^8 + 3*g1^5*t^8.891 + t^8.913/g1^7 + 3*g1^6*t^8.989 - t^4.2/y - t^6.404/(g1^2*y) - t^6.502/(g1*y) - t^6.6/y - (2*g1^2*t^6.796)/y + t^7.505/(g1^3*y) + (3*t^7.604)/(g1^2*y) + (2*t^7.702)/(g1*y) + (4*t^7.8)/y + (4*g1*t^7.898)/y + (3*g1^2*t^7.996)/y + (2*g1^3*t^8.095)/y + (g1^4*t^8.193)/y - t^8.607/(g1^4*y) - t^8.804/(g1^2*y) + t^8.902/(g1*y) - t^4.2*y - (t^6.404*y)/g1^2 - (t^6.502*y)/g1 - t^6.6*y - 2*g1^2*t^6.796*y + (t^7.505*y)/g1^3 + (3*t^7.604*y)/g1^2 + (2*t^7.702*y)/g1 + 4*t^7.8*y + 4*g1*t^7.898*y + 3*g1^2*t^7.996*y + 2*g1^3*t^8.095*y + g1^4*t^8.193*y - (t^8.607*y)/g1^4 - (t^8.804*y)/g1^2 + (t^8.902*y)/g1

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
6409	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{6}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{7}\phi_{1}q_{2}^{2}$ + ${ }M_{3}M_{8}$ + ${ }M_{6}M_{8}$ + ${ }M_{6}M_{9}$	0.6526	0.8114	0.8042	[M:[0.8585, 0.7415, 0.7707, 0.8293, 1.1707, 0.7707, 0.8585, 1.2293, 1.2293], q:[0.7707, 0.3707], qb:[0.4585, 0.8], phi:[0.4]]	t^2.224 + t^2.4 + t^2.488 + 2*t^2.576 + t^3.512 + 2*t^3.688 + t^3.951 + t^4.449 + 2*t^4.624 + 2*t^4.712 + 2*t^4.8 + 2*t^4.888 + 3*t^4.976 + t^5.063 + 3*t^5.151 + t^5.824 + 2*t^5.912 - 3*t^6. - t^4.2/y - t^4.2*y	detail
6411	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{6}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{7}\phi_{1}q_{2}^{2}$ + ${ }M_{3}M_{8}$ + ${ }M_{6}M_{8}$ + ${ }M_{8}M_{9}$	0.6891	0.8766	0.7861	[M:[0.8721, 0.7279, 0.7639, 0.8361, 1.1639, 0.7639, 0.8721, 1.2361, 0.7639], q:[0.7639, 0.3639], qb:[0.4721, 0.8], phi:[0.4]]	t^2.184 + 2*t^2.292 + t^2.4 + t^2.508 + 2*t^2.616 + t^3.492 + t^4.033 + t^4.367 + 2*t^4.476 + 5*t^4.584 + 4*t^4.692 + 4*t^4.8 + 6*t^4.908 + 3*t^5.016 + t^5.124 + 3*t^5.233 + 3*t^5.784 - 3*t^6. - t^4.2/y - t^4.2*y	detail
6410	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{6}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{7}\phi_{1}q_{2}^{2}$ + ${ }M_{3}M_{8}$ + ${ }M_{6}M_{8}$ + ${ }M_{9}\phi_{1}^{2}$	0.6543	0.8147	0.8031	[M:[0.8655, 0.7345, 0.7673, 0.8327, 1.1673, 0.7673, 0.8655, 1.2327, 1.2], q:[0.7673, 0.3673], qb:[0.4655, 0.8], phi:[0.4]]	t^2.204 + t^2.302 + t^2.498 + 2*t^2.596 + t^3.502 + t^3.6 + t^3.698 + t^3.993 + t^4.407 + t^4.505 + 2*t^4.604 + 2*t^4.702 + 2*t^4.8 + 3*t^4.898 + t^4.996 + t^5.095 + 3*t^5.193 + 3*t^5.804 + t^5.902 - 2*t^6. - t^4.2/y - t^4.2*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
2647	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{6}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{7}\phi_{1}q_{2}^{2}$ + ${ }M_{3}M_{8}$	0.6995	0.8854	0.79	[M:[1.022, 0.7855, 0.9743, 0.8332, 1.1668, 0.7149, 0.7627, 1.0257], q:[0.5853, 0.3927], qb:[0.4405, 0.7741], phi:[0.4519]]	t^2.145 + t^2.288 + t^2.356 + t^2.5 + t^2.711 + t^3.066 + t^3.077 + t^3.5 + t^3.998 + t^4.078 + 2*t^4.29 + 2*t^4.433 + t^4.501 + t^4.576 + 2*t^4.644 + t^4.713 + t^4.788 + 2*t^4.856 + t^4.867 + 2*t^4.999 + t^5.068 + 2*t^5.211 + t^5.222 + t^5.354 + t^5.365 + t^5.422 + t^5.434 + t^5.577 + t^5.645 + t^5.777 + 2*t^5.788 - 2*t^6. - t^4.356/y - t^4.356*y	detail