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
925	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{5}^{2}$ + ${ }M_{2}M_{3}$ + ${ }M_{2}M_{6}$	0.7207	0.8863	0.8132	[M:[0.8101, 1.0276, 0.9724, 0.8653, 1.0, 0.9724], q:[0.6087, 0.5812], qb:[0.4188, 0.5536], phi:[0.4594]]	[M:[[6, 1], [-2, -1], [2, 1], [2, -1], [0, 0], [2, 1]], q:[[-4, -1], [-2, 0]], qb:[[2, 0], [0, 1]], phi:[[1, 0]]]	2

Relevant Operators	Marginal Operators	$n_{marginal}$$-$$|F_{IR}|$	Superconformal Index	Refined index
${}M_{1}$, ${ }M_{4}$, ${ }\phi_{1}^{2}$, ${ }M_{3}$, ${ }M_{6}$, ${ }M_{5}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{1}^{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }M_{1}M_{4}$, ${ }\phi_{1}q_{1}^{2}$, ${ }M_{1}\phi_{1}^{2}$, ${ }M_{4}^{2}$, ${ }M_{1}M_{3}$, ${ }M_{1}M_{6}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{3}M_{4}$, ${ }M_{4}M_{6}$, ${ }\phi_{1}^{4}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{6}\phi_{1}^{2}$, ${ }M_{5}\phi_{1}^{2}$, ${ }M_{3}^{2}$, ${ }M_{3}M_{6}$, ${ }M_{6}^{2}$, ${ }M_{3}M_{5}$, ${ }M_{5}M_{6}$	${}$	-3	t^2.43 + t^2.596 + t^2.757 + 2*t^2.917 + t^3. + t^3.487 + t^3.891 + t^4.295 + t^4.378 + t^4.461 + t^4.7 + t^4.782 + t^4.861 + 2*t^4.865 + t^4.948 + t^5.026 + t^5.031 + t^5.187 + t^5.192 + 2*t^5.348 + t^5.352 + 2*t^5.513 + 2*t^5.674 + t^5.757 + 2*t^5.834 + t^5.917 - 3*t^6. - t^6.083 - t^6.166 + t^6.243 + t^6.322 + t^6.404 - t^6.57 + t^6.648 + t^6.726 + 2*t^6.809 + 2*t^6.891 + t^6.974 + t^7.052 + t^7.057 + t^7.13 + 2*t^7.213 + t^7.218 + t^7.291 + 3*t^7.295 + 2*t^7.378 + 2*t^7.456 + t^7.461 + 3*t^7.617 + 2*t^7.622 + t^7.627 + 2*t^7.7 + 2*t^7.778 + 3*t^7.782 + 2*t^7.783 + 2*t^7.787 + t^7.865 + t^7.943 + 2*t^7.948 - 2*t^8.026 + 2*t^8.104 + 2*t^8.187 - t^8.191 + 2*t^8.265 + 3*t^8.27 - t^8.274 + 2*t^8.352 - t^8.43 - t^8.513 + t^8.518 + 3*t^8.591 - 4*t^8.596 + 2*t^8.674 + 3*t^8.752 - t^8.757 - t^8.761 - 7*t^8.917 + t^8.995 - t^4.378/y - t^6.809/y - t^6.974/y - t^7.135/y - t^7.295/y + t^7.461/y + t^7.622/y + t^7.782/y + t^7.948/y + t^8.026/y + t^8.187/y + (2*t^8.348)/y + t^8.352/y + t^8.43/y + (2*t^8.513)/y + t^8.596/y + (2*t^8.674)/y + t^8.757/y + t^8.834/y + (3*t^8.917)/y - t^4.378*y - t^6.809*y - t^6.974*y - t^7.135*y - t^7.295*y + t^7.461*y + t^7.622*y + t^7.782*y + t^7.948*y + t^8.026*y + t^8.187*y + 2*t^8.348*y + t^8.352*y + t^8.43*y + 2*t^8.513*y + t^8.596*y + 2*t^8.674*y + t^8.757*y + t^8.834*y + 3*t^8.917*y	g1^6*g2*t^2.43 + (g1^2*t^2.596)/g2 + g1^2*t^2.757 + 2*g1^2*g2*t^2.917 + t^3. + t^3.487/g1^4 + g1^5*t^3.891 + g1^3*g2*t^4.295 + g1*t^4.378 + t^4.461/(g1*g2) + g1*g2^2*t^4.7 + (g2*t^4.782)/g1 + g1^12*g2^2*t^4.861 + (2*t^4.865)/g1^3 + t^4.948/(g1^5*g2) + g1^8*t^5.026 + t^5.031/(g1^7*g2^2) + g1^8*g2*t^5.187 + (g1^4*t^5.192)/g2^2 + 2*g1^8*g2^2*t^5.348 + (g1^4*t^5.352)/g2 + 2*g1^4*t^5.513 + 2*g1^4*g2*t^5.674 + g1^2*t^5.757 + 2*g1^4*g2^2*t^5.834 + g1^2*g2*t^5.917 - 3*t^6. - t^6.083/(g1^2*g2) - t^6.166/(g1^4*g2^2) + t^6.243/g1^2 + g1^11*g2*t^6.322 + (g2*t^6.404)/g1^2 - t^6.487/g1^4 + (g1^7*t^6.487)/g2 - t^6.57/(g1^6*g2) + g1^7*t^6.648 + g1^9*g2^2*t^6.726 + 2*g1^7*g2*t^6.809 + 2*g1^5*t^6.891 + t^6.974/g1^8 + g1^5*g2*t^7.052 + (g1*t^7.057)/g2^2 + g1^7*g2^3*t^7.13 + 2*g1^5*g2^2*t^7.213 + (g1*t^7.218)/g2 + g1^18*g2^3*t^7.291 + 3*g1^3*g2*t^7.295 + 2*g1*t^7.378 + g1^14*g2*t^7.456 + g1^3*g2^2*t^7.456 + t^7.461/(g1*g2) + g1^14*g2^2*t^7.617 + 2*g1^3*g2^3*t^7.617 + t^7.622/g1 + (g1^10*t^7.622)/g2 + t^7.627/(g1^5*g2^3) + 2*g1*g2^2*t^7.7 + 2*g1^14*g2^3*t^7.778 + (3*g2*t^7.782)/g1 + 2*g1^10*t^7.783 + (g1^6*t^7.787)/g2^3 + t^7.787/(g1^5*g2^2) + t^7.865/g1^3 + 2*g1^10*g2*t^7.943 - (g2^2*t^7.943)/g1 + (g1^6*t^7.948)/g2^2 + t^7.948/(g1^5*g2) - g1^8*t^8.026 - (g2*t^8.026)/g1^3 + 2*g1^10*g2^2*t^8.104 - (2*t^8.109)/g1^5 + (2*g1^6*t^8.109)/g2 + g1^8*g2*t^8.187 + (g2^2*t^8.187)/g1^3 - t^8.191/(g1^7*g2) + 2*g1^10*g2^3*t^8.265 + 3*g1^6*t^8.27 - t^8.274/(g1^9*g2^2) + t^8.352/g1^7 + (g1^4*t^8.352)/g2 - g1^6*g2*t^8.43 - g1^4*t^8.513 + t^8.518/(g1^11*g2^2) + 3*g1^6*g2^2*t^8.591 - (4*g1^2*t^8.596)/g2 + 2*g1^4*g2*t^8.674 + g1^17*g2^2*t^8.752 + 2*g1^6*g2^3*t^8.752 - g1^2*t^8.757 - t^8.761/(g1^2*g2^3) + g1^13*t^8.917 - 8*g1^2*g2*t^8.917 + g1^4*g2^3*t^8.995 - (g1*t^4.378)/y - (g1^7*g2*t^6.809)/y - (g1^3*t^6.974)/(g2*y) - (g1^3*t^7.135)/y - (g1^3*g2*t^7.295)/y + t^7.461/(g1*g2*y) + t^7.622/(g1*y) + (g2*t^7.782)/(g1*y) + t^7.948/(g1^5*g2*y) + (g1^8*t^8.026)/y + (g1^8*g2*t^8.187)/y + (2*g1^8*g2^2*t^8.348)/y + (g1^4*t^8.352)/(g2*y) + (g1^6*g2*t^8.43)/y + (2*g1^4*t^8.513)/y + (g1^2*t^8.596)/(g2*y) + (2*g1^4*g2*t^8.674)/y + (g1^2*t^8.757)/y + (g1^4*g2^2*t^8.834)/y + (3*g1^2*g2*t^8.917)/y - g1*t^4.378*y - g1^7*g2*t^6.809*y - (g1^3*t^6.974*y)/g2 - g1^3*t^7.135*y - g1^3*g2*t^7.295*y + (t^7.461*y)/(g1*g2) + (t^7.622*y)/g1 + (g2*t^7.782*y)/g1 + (t^7.948*y)/(g1^5*g2) + g1^8*t^8.026*y + g1^8*g2*t^8.187*y + 2*g1^8*g2^2*t^8.348*y + (g1^4*t^8.352*y)/g2 + g1^6*g2*t^8.43*y + 2*g1^4*t^8.513*y + (g1^2*t^8.596*y)/g2 + 2*g1^4*g2*t^8.674*y + g1^2*t^8.757*y + g1^4*g2^2*t^8.834*y + 3*g1^2*g2*t^8.917*y

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
1421	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{5}^{2}$ + ${ }M_{2}M_{3}$ + ${ }M_{2}M_{6}$ + ${ }M_{4}\phi_{1}^{2}$	0.7032	0.8663	0.8117	[M:[0.877, 1.0738, 0.9262, 1.0246, 1.0, 0.9262], q:[0.5984, 0.5246], qb:[0.4754, 0.4508], phi:[0.4877]]	t^2.631 + 2*t^2.779 + t^2.926 + t^3. + t^3.074 + t^3.148 + t^4.168 + t^4.242 + t^4.315 + t^4.389 + t^4.463 + 2*t^4.611 + t^4.685 + t^4.832 + t^5.054 + t^5.262 + 2*t^5.409 + 3*t^5.557 + 3*t^5.705 + t^5.779 + 2*t^5.852 + 2*t^5.926 - 2*t^6. - t^4.463/y - t^4.463*y	detail
1422	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{5}^{2}$ + ${ }M_{2}M_{3}$ + ${ }M_{2}M_{6}$ + ${ }M_{7}q_{1}\tilde{q}_{2}$	0.7357	0.9145	0.8046	[M:[0.7826, 1.0276, 0.9724, 0.8378, 1.0, 0.9724, 0.8102], q:[0.6225, 0.5949], qb:[0.4051, 0.5673], phi:[0.4525]]	t^2.348 + t^2.431 + t^2.513 + t^2.715 + 2*t^2.917 + t^3. + t^3.788 + t^4.275 + t^4.358 + t^4.44 + t^4.696 + t^4.762 + t^4.778 + t^4.844 + 2*t^4.861 + 2*t^4.927 + t^4.944 + t^5.01 + t^5.027 + t^5.063 + t^5.093 + t^5.146 + t^5.229 + 2*t^5.265 + 2*t^5.348 + 3*t^5.431 + 2*t^5.633 + t^5.715 + 2*t^5.834 - 3*t^6. - t^4.358/y - t^4.358*y	detail
2086	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{5}^{2}$ + ${ }M_{2}M_{3}$ + ${ }M_{2}M_{6}$ + ${ }\phi_{1}q_{1}q_{2}$ + ${ }M_{1}X_{1}$	0.604	0.7543	0.8007	[X:[1.5949], M:[0.4051, 1.2152, 0.7848, 0.8355, 1.0, 0.7848], q:[0.9051, 0.6899], qb:[0.3101, 0.4746], phi:[0.4051]]	2*t^2.354 + t^2.43 + t^2.507 + t^3. + t^3.076 + t^3.57 + t^4.063 + t^4.139 + 3*t^4.709 + 3*t^4.785 + 3*t^4.861 + t^4.937 + t^5.013 + 2*t^5.354 + 2*t^5.43 + t^5.507 + t^5.583 + t^5.924 - t^6. - t^4.215/y - t^4.215*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
590	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{5}^{2}$ + ${ }M_{2}M_{3}$	0.7194	0.8833	0.8145	[M:[0.8377, 1.0, 1.0, 0.8377, 1.0], q:[0.5812, 0.5812], qb:[0.4188, 0.5812], phi:[0.4594]]	2*t^2.513 + t^2.757 + 3*t^3. + t^3.487 + t^3.891 + 3*t^4.378 + 6*t^4.865 + 3*t^5.026 + 2*t^5.27 + 4*t^5.513 + 3*t^5.757 - 2*t^6. - t^4.378/y - t^4.378*y	detail