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
610	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{3}^{2}$	0.6976	0.853	0.8178	[M:[0.9761, 0.9721, 1.0, 0.9482, 1.0518], q:[0.5379, 0.4861], qb:[0.4621, 0.5657], phi:[0.487]]	[M:[[12, 4], [-8, -8], [0, 0], [4, -4], [-4, 4]], q:[[-8, 0], [-4, -4]], qb:[[8, 0], [0, 8]], phi:[[1, -1]]]	2

Relevant Operators	Marginal Operators	$n_{marginal}$$-$$|F_{IR}|$	Superconformal Index	Refined index
${}M_{4}$, ${ }M_{2}$, ${ }\phi_{1}^{2}$, ${ }M_{1}$, ${ }M_{3}$, ${ }M_{5}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{2}^{2}$, ${ }M_{2}\phi_{1}^{2}$, ${ }M_{1}M_{2}$, ${ }M_{3}M_{4}$, ${ }\phi_{1}^{4}$, ${ }M_{1}\phi_{1}^{2}$, ${ }M_{1}^{2}$, ${ }M_{3}\phi_{1}^{2}$	${}$	-2	t^2.845 + t^2.916 + t^2.922 + t^2.928 + t^3. + t^3.155 + t^3.311 + t^4.234 + t^4.306 + t^4.378 + t^4.461 + t^4.533 + t^4.545 + t^4.617 + t^4.688 + t^4.772 + t^4.856 + t^5.767 + t^5.833 + t^5.839 + 2*t^5.845 + t^5.85 + t^5.856 + t^5.922 - 2*t^6. + t^6.078 + t^6.233 + t^6.311 + t^6.466 + t^6.622 + t^7.079 + t^7.15 + t^7.156 + t^7.162 + t^7.222 + t^7.228 + t^7.234 + t^7.294 + t^7.3 + t^7.306 - t^7.312 + t^7.378 + t^7.389 + t^7.449 + t^7.461 + t^7.467 + t^7.473 + 2*t^7.533 + t^7.545 + t^7.605 + t^7.617 - t^7.622 + 2*t^7.688 + t^7.7 - t^7.766 + 2*t^7.772 + t^7.778 + t^7.784 + t^7.844 - t^7.85 + t^7.856 + t^7.927 - t^7.933 + t^7.999 + t^8.011 + t^8.083 + t^8.166 + t^8.468 + t^8.54 + t^8.611 - t^8.617 + t^8.683 + t^8.695 + t^8.749 + 2*t^8.755 + t^8.761 + 3*t^8.767 + t^8.773 + 2*t^8.779 + t^8.785 + t^8.839 - 2*t^8.845 + t^8.85 + t^8.911 - 4*t^8.916 - 3*t^8.928 + 2*t^8.994 - t^4.461/y - t^7.378/y - t^7.383/y - t^7.389/y + t^7.533/y + t^7.539/y + t^7.545/y + t^8.761/y + t^8.767/y + t^8.773/y + t^8.839/y + (2*t^8.845)/y + t^8.85/y + t^8.916/y + t^8.922/y + t^8.928/y - t^4.461*y - t^7.378*y - t^7.383*y - t^7.389*y + t^7.533*y + t^7.539*y + t^7.545*y + t^8.761*y + t^8.767*y + t^8.773*y + t^8.839*y + 2*t^8.845*y + t^8.85*y + t^8.916*y + t^8.922*y + t^8.928*y	(g1^4*t^2.845)/g2^4 + t^2.916/(g1^8*g2^8) + (g1^2*t^2.922)/g2^2 + g1^12*g2^4*t^2.928 + t^3. + (g2^4*t^3.155)/g1^4 + (g2^8*t^3.311)/g1^8 + (g1^17*t^4.234)/g2 + (g1^5*t^4.306)/g2^5 + t^4.378/(g1^7*g2^9) + (g1*t^4.461)/g2 + t^4.533/(g1^11*g2^5) + g1^9*g2^7*t^4.545 + (g2^3*t^4.617)/g1^3 + t^4.688/(g1^15*g2) + (g2^7*t^4.772)/g1^7 + g1*g2^15*t^4.856 + (g1^6*t^5.767)/g2^6 + t^5.833/(g1^16*g2^16) + t^5.839/(g1^6*g2^10) + (2*g1^4*t^5.845)/g2^4 + g1^14*g2^2*t^5.85 + g1^24*g2^8*t^5.856 + (g1^2*t^5.922)/g2^2 - 2*t^6. + (g2^2*t^6.078)/g1^2 + (g2^6*t^6.233)/g1^6 + (g2^8*t^6.311)/g1^8 + (g2^12*t^6.466)/g1^12 + (g2^16*t^6.622)/g1^16 + (g1^21*t^7.079)/g2^5 + (g1^9*t^7.15)/g2^9 + (g1^19*t^7.156)/g2^3 + g1^29*g2^3*t^7.162 + t^7.222/(g1^3*g2^13) + (g1^7*t^7.228)/g2^7 + (g1^17*t^7.234)/g2 + t^7.294/(g1^15*g2^17) + t^7.3/(g1^5*g2^11) + (g1^5*t^7.306)/g2^5 - g1^15*g2*t^7.312 + t^7.378/(g1^7*g2^9) + g1^13*g2^3*t^7.389 + t^7.449/(g1^19*g2^13) + (g1*t^7.461)/g2 + g1^11*g2^5*t^7.467 + g1^21*g2^11*t^7.473 + (2*t^7.533)/(g1^11*g2^5) + g1^9*g2^7*t^7.545 + t^7.605/(g1^23*g2^9) + (g2^3*t^7.617)/g1^3 - g1^7*g2^9*t^7.622 + (2*t^7.688)/(g1^15*g2) + g1^5*g2^11*t^7.7 - (g2*t^7.766)/g1^17 + (2*g2^7*t^7.772)/g1^7 + g1^3*g2^13*t^7.778 + g1^13*g2^19*t^7.784 + (g2^3*t^7.844)/g1^19 - (g2^9*t^7.85)/g1^9 + g1*g2^15*t^7.856 + (g2^11*t^7.927)/g1^11 - (g2^17*t^7.933)/g1 + (g2^7*t^7.999)/g1^23 + (g2^19*t^8.011)/g1^3 + (g2^15*t^8.083)/g1^15 + (g2^23*t^8.166)/g1^7 + (g1^34*t^8.468)/g2^2 + (g1^22*t^8.54)/g2^6 + (g1^10*t^8.611)/g2^10 - (g1^20*t^8.617)/g2^4 + t^8.683/(g1^2*g2^14) + (g1^18*t^8.695)/g2^2 + t^8.749/(g1^24*g2^24) + (2*t^8.755)/(g1^14*g2^18) + t^8.761/(g1^4*g2^12) + (3*g1^6*t^8.767)/g2^6 + g1^16*t^8.773 + 2*g1^26*g2^6*t^8.779 + g1^36*g2^12*t^8.785 + t^8.839/(g1^6*g2^10) - (2*g1^4*t^8.845)/g2^4 + g1^14*g2^2*t^8.85 + t^8.911/(g1^18*g2^14) - (4*t^8.916)/(g1^8*g2^8) - 3*g1^12*g2^4*t^8.928 + (2*t^8.994)/(g1^10*g2^6) - (g1*t^4.461)/(g2*y) - t^7.378/(g1^7*g2^9*y) - (g1^3*t^7.383)/(g2^3*y) - (g1^13*g2^3*t^7.389)/y + t^7.533/(g1^11*g2^5*y) + (g2*t^7.539)/(g1*y) + (g1^9*g2^7*t^7.545)/y + t^8.761/(g1^4*g2^12*y) + (g1^6*t^8.767)/(g2^6*y) + (g1^16*t^8.773)/y + t^8.839/(g1^6*g2^10*y) + (2*g1^4*t^8.845)/(g2^4*y) + (g1^14*g2^2*t^8.85)/y + t^8.916/(g1^8*g2^8*y) + (g1^2*t^8.922)/(g2^2*y) + (g1^12*g2^4*t^8.928)/y - (g1*t^4.461*y)/g2 - (t^7.378*y)/(g1^7*g2^9) - (g1^3*t^7.383*y)/g2^3 - g1^13*g2^3*t^7.389*y + (t^7.533*y)/(g1^11*g2^5) + (g2*t^7.539*y)/g1 + g1^9*g2^7*t^7.545*y + (t^8.761*y)/(g1^4*g2^12) + (g1^6*t^8.767*y)/g2^6 + g1^16*t^8.773*y + (t^8.839*y)/(g1^6*g2^10) + (2*g1^4*t^8.845*y)/g2^4 + g1^14*g2^2*t^8.85*y + (t^8.916*y)/(g1^8*g2^8) + (g1^2*t^8.922*y)/g2^2 + g1^12*g2^4*t^8.928*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
990	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{3}^{2}$ + ${ }M_{5}M_{6}$	0.7033	0.8629	0.815	[M:[0.9677, 0.9602, 1.0, 0.9279, 1.0721, 0.9279], q:[0.5522, 0.4801], qb:[0.4478, 0.592], phi:[0.482]]	2*t^2.784 + t^2.881 + t^2.892 + t^2.903 + t^3. + t^3.433 + t^4.133 + t^4.23 + t^4.326 + t^4.446 + t^4.543 + t^4.565 + t^4.662 + t^4.759 + t^4.878 + t^4.998 + 2*t^5.567 + t^5.664 + 2*t^5.676 + t^5.687 + t^5.761 + t^5.772 + 3*t^5.784 + t^5.795 + t^5.806 + t^5.892 - 3*t^6. - t^4.446/y - t^4.446*y	detail
1946	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{3}^{2}$ + ${ }\phi_{1}q_{1}\tilde{q}_{2}$	0.5904	0.7422	0.7955	[M:[0.9107, 0.8036, 1.0, 0.7143, 1.2857], q:[0.6875, 0.4018], qb:[0.3125, 0.8839], phi:[0.4286]]	t^2.143 + t^2.411 + t^2.571 + t^2.732 + t^3. + t^3.161 + t^3.429 + t^3.696 + t^3.857 + t^4.286 + t^4.554 + 2*t^4.714 + t^4.821 + t^4.875 + t^4.982 + 3*t^5.143 + 2*t^5.304 + t^5.411 + t^5.464 + 2*t^5.571 + t^5.732 + t^5.839 + t^5.893 - t^4.286/y - t^4.286*y	detail	{a: 51843/87808, c: 65171/87808, M1: 51/56, M2: 45/56, M3: 1, M4: 5/7, M5: 9/7, q1: 11/16, q2: 45/112, qb1: 5/16, qb2: 99/112, phi1: 3/7}

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
371	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$	0.7297	0.8972	0.8133	[M:[0.8794, 0.9008, 0.7647, 1.0155, 0.9845], q:[0.6702, 0.4504], qb:[0.5651, 0.5341], phi:[0.445]]	t^2.294 + t^2.638 + t^2.67 + t^2.702 + t^2.954 + t^3.046 + t^3.613 + t^4.037 + t^4.289 + t^4.382 + t^4.54 + t^4.588 + t^4.633 + t^4.697 + t^4.726 + t^4.932 + t^4.948 + t^4.964 + t^4.996 + t^5.041 + t^5.248 + t^5.277 + t^5.309 + 2*t^5.341 + t^5.356 + t^5.373 + t^5.405 + t^5.624 + t^5.717 + t^5.907 - 3*t^6. - t^4.335/y - t^4.335*y	detail