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
123	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }\phi_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{1}M_{3}$	0.7003	0.8367	0.837	[M:[0.9093, 1.0907, 1.0907], q:[0.5454, 0.5454], qb:[0.5454, 0.5454], phi:[0.4546]]	[M:[[0, -2, -2], [0, 2, 2], [0, 2, 2]], q:[[-1, 2, 2], [1, 0, 0]], qb:[[0, 2, 0], [0, 0, 2]], phi:[[0, -1, -1]]]	3

Relevant Operators	Marginal Operators	$n_{marginal}$$-$$|F_{IR}|$	Superconformal Index	Refined index
${}q_{2}\tilde{q}_{1}$, ${ }q_{2}\tilde{q}_{2}$, ${ }M_{2}$, ${ }M_{3}$, ${ }\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{1}\tilde{q}_{1}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}^{2}$	${}$	-16	7*t^3.272 + 10*t^4.636 - 16*t^6. + 27*t^6.544 - 15*t^7.364 + 45*t^7.908 + 10*t^8.728 - t^4.364/y - t^4.364*y	g1*g2^2*t^3.272 + g1*g3^2*t^3.272 + 3*g2^2*g3^2*t^3.272 + (g2^4*g3^2*t^3.272)/g1 + (g2^2*g3^4*t^3.272)/g1 + (g1^2*t^4.636)/(g2*g3) + (g1*g2*t^4.636)/g3 + (g2^3*t^4.636)/g3 + (g1*g3*t^4.636)/g2 + 2*g2*g3*t^4.636 + (g2^3*g3*t^4.636)/g1 + (g3^3*t^4.636)/g2 + (g2*g3^3*t^4.636)/g1 + (g2^3*g3^3*t^4.636)/g1^2 - 4*t^6. - (2*g1*t^6.)/g2^2 - (2*g2^2*t^6.)/g1 - (2*g1*t^6.)/g3^2 - (g1^2*t^6.)/(g2^2*g3^2) - (g2^2*t^6.)/g3^2 - (2*g3^2*t^6.)/g1 - (g3^2*t^6.)/g2^2 - (g2^2*g3^2*t^6.)/g1^2 + g1^2*g2^4*t^6.544 + g1^2*g2^2*g3^2*t^6.544 + 3*g1*g2^4*g3^2*t^6.544 + g2^6*g3^2*t^6.544 + g1^2*g3^4*t^6.544 + 3*g1*g2^2*g3^4*t^6.544 + 7*g2^4*g3^4*t^6.544 + (3*g2^6*g3^4*t^6.544)/g1 + (g2^8*g3^4*t^6.544)/g1^2 + g2^2*g3^6*t^6.544 + (3*g2^4*g3^6*t^6.544)/g1 + (g2^6*g3^6*t^6.544)/g1^2 + (g2^4*g3^8*t^6.544)/g1^2 - (g1^2*t^7.364)/(g2^3*g3^3) - (2*g1*t^7.364)/(g2*g3^3) - (g2*t^7.364)/g3^3 - (2*g1*t^7.364)/(g2^3*g3) - (3*t^7.364)/(g2*g3) - (2*g2*t^7.364)/(g1*g3) - (g3*t^7.364)/g2^3 - (2*g3*t^7.364)/(g1*g2) - (g2*g3*t^7.364)/g1^2 + (g1^3*g2*t^7.908)/g3 + (g1^2*g2^3*t^7.908)/g3 + (g1*g2^5*t^7.908)/g3 + (g1^3*g3*t^7.908)/g2 + 3*g1^2*g2*g3*t^7.908 + 4*g1*g2^3*g3*t^7.908 + 3*g2^5*g3*t^7.908 + (g2^7*g3*t^7.908)/g1 + (g1^2*g3^3*t^7.908)/g2 + 4*g1*g2*g3^3*t^7.908 + 5*g2^3*g3^3*t^7.908 + (4*g2^5*g3^3*t^7.908)/g1 + (g2^7*g3^3*t^7.908)/g1^2 + (g1*g3^5*t^7.908)/g2 + 3*g2*g3^5*t^7.908 + (4*g2^3*g3^5*t^7.908)/g1 + (3*g2^5*g3^5*t^7.908)/g1^2 + (g2^7*g3^5*t^7.908)/g1^3 + (g2*g3^7*t^7.908)/g1 + (g2^3*g3^7*t^7.908)/g1^2 + (g2^5*g3^7*t^7.908)/g1^3 + t^8.728/g1^2 + t^8.728/g2^4 + t^8.728/(g1*g2^2) + t^8.728/g3^4 + (g1^2*t^8.728)/(g2^4*g3^4) + (g1*t^8.728)/(g2^2*g3^4) + t^8.728/(g1*g3^2) + (g1*t^8.728)/(g2^4*g3^2) + (2*t^8.728)/(g2^2*g3^2) - t^4.364/(g2*g3*y) - (t^4.364*y)/(g2*g3)

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
202	${}M_{1}q_{1}q_{2}$ + ${ }\phi_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$	0.7121	0.8517	0.8362	[M:[0.8744, 1.1256, 1.1256, 0.8278], q:[0.5861, 0.5395], qb:[0.5861, 0.5395], phi:[0.4372]]	t^2.483 + t^3.237 + 5*t^3.377 + 3*t^4.549 + 4*t^4.688 + 3*t^4.828 + t^4.967 + t^5.72 + t^5.86 - 8*t^6. - t^4.312/y - t^4.312*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
55669	SU2adj1nf3	${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }q_{1}q_{2}$	0.7003	0.8367	0.837	[M:[1.0907], q:[0.7727, 1.2273, 0.5454], qb:[0.5454, 0.5454, 0.5454], phi:[0.4546]]	7*t^3.272 + 10*t^4.636 - 16*t^6. - t^4.364/y - t^4.364*y	detail

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
78	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }\phi_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$	0.7103	0.8462	0.8394	[M:[0.8699, 1.1301], q:[0.5651, 0.5651], qb:[0.5651, 0.5651], phi:[0.4349]]	t^2.61 + 6*t^3.39 + 10*t^4.695 + t^5.219 - 10*t^6. - t^4.305/y - t^4.305*y	detail