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
46774	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{3}^{2}$ + ${ }M_{1}M_{2}$ + ${ }M_{2}M_{5}$	0.7096	0.8749	0.811	[M:[0.9169, 1.0831, 1.0, 0.8338, 0.9169], q:[0.4765, 0.6066], qb:[0.4404, 0.5596], phi:[0.4792]]	[M:[[-4, -4], [4, 4], [0, 0], [-8, -8], [-4, -4]], q:[[-4, 4], [8, 0]], qb:[[0, -8], [0, 8]], phi:[[-1, -1]]]	2

Relevant Operators	Marginal Operators	$n_{marginal}$$-$$|F_{IR}|$	Superconformal Index	Refined index
${}M_{4}$, ${ }M_{1}$, ${ }M_{5}$, ${ }\phi_{1}^{2}$, ${ }M_{3}$, ${ }q_{1}\tilde{q}_{2}$, ${ }q_{2}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{4}^{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }M_{1}M_{4}$, ${ }M_{4}M_{5}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{1}^{2}$, ${ }M_{3}M_{4}$, ${ }M_{1}M_{5}$, ${ }M_{5}^{2}$, ${ }M_{1}\phi_{1}^{2}$, ${ }M_{5}\phi_{1}^{2}$, ${ }M_{1}M_{3}$, ${ }M_{3}M_{5}$, ${ }\phi_{1}^{4}$, ${ }M_{5}q_{1}\tilde{q}_{2}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{5}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{2}$	${}$	-3	t^2.501 + 2*t^2.751 + t^2.875 + t^3. + t^3.108 + t^3.141 + t^4.08 + t^4.188 + t^4.297 + t^4.438 + t^4.546 + t^4.579 + t^4.687 + t^4.795 + t^4.936 + t^5.003 + t^5.077 + 2*t^5.252 + t^5.377 + 3*t^5.501 + 2*t^5.626 + 2*t^5.751 + t^5.859 + t^5.875 + t^5.892 + t^5.984 - 3*t^6. + t^6.016 + t^6.217 - t^6.249 + t^6.282 - t^6.358 - t^6.39 - t^6.499 + t^6.581 + t^6.69 + t^6.798 + 2*t^6.831 + 2*t^6.939 + t^6.955 + 2*t^7.048 + t^7.064 + t^7.08 + t^7.172 + 3*t^7.188 - t^7.205 + t^7.221 + 3*t^7.297 + t^7.329 + t^7.405 + t^7.438 + t^7.454 + t^7.504 + 2*t^7.546 + t^7.579 + t^7.655 + t^7.687 - t^7.703 + t^7.719 + 2*t^7.754 + t^7.828 + t^7.878 + t^7.904 - t^7.92 + t^7.952 + 3*t^8.003 - t^8.061 + t^8.077 + 2*t^8.128 + t^8.16 - t^8.202 + t^8.218 + 4*t^8.252 + t^8.268 + 4*t^8.377 - t^8.393 + t^8.485 + t^8.518 + t^8.594 + 3*t^8.626 + t^8.658 + 2*t^8.735 - 7*t^8.751 + 2*t^8.767 + t^8.843 - t^8.859 - t^8.875 + t^8.968 + 2*t^8.984 - t^4.438/y - t^6.939/y - t^7.188/y - t^7.313/y + t^7.562/y + t^7.687/y + t^7.936/y + (2*t^8.252)/y + t^8.377/y + (2*t^8.501)/y + t^8.61/y + (2*t^8.626)/y + t^8.642/y + (2*t^8.751)/y + (2*t^8.859)/y + t^8.875/y + (2*t^8.892)/y + t^8.984/y - t^4.438*y - t^6.939*y - t^7.188*y - t^7.313*y + t^7.562*y + t^7.687*y + t^7.936*y + 2*t^8.252*y + t^8.377*y + 2*t^8.501*y + t^8.61*y + 2*t^8.626*y + t^8.642*y + 2*t^8.751*y + 2*t^8.859*y + t^8.875*y + 2*t^8.892*y + t^8.984*y	t^2.501/(g1^8*g2^8) + (2*t^2.751)/(g1^4*g2^4) + t^2.875/(g1^2*g2^2) + t^3. + (g2^12*t^3.108)/g1^4 + (g1^8*t^3.141)/g2^8 + t^4.08/(g1*g2^17) + t^4.188/(g1^5*g2^5) + (g2^7*t^4.297)/g1^9 + t^4.438/(g1*g2) + (g2^11*t^4.546)/g1^5 + (g1^7*t^4.579)/g2^9 + g1^3*g2^3*t^4.687 + (g2^15*t^4.795)/g1 + g1^7*g2^7*t^4.936 + t^5.003/(g1^16*g2^16) + (g1^15*t^5.077)/g2 + (2*t^5.252)/(g1^12*g2^12) + t^5.377/(g1^10*g2^10) + (3*t^5.501)/(g1^8*g2^8) + (2*t^5.626)/(g1^6*g2^6) + (2*t^5.751)/(g1^4*g2^4) + (g2^8*t^5.859)/g1^8 + t^5.875/(g1^2*g2^2) + (g1^4*t^5.892)/g2^12 + (g2^10*t^5.984)/g1^6 - 3*t^6. + (g1^6*t^6.016)/g2^10 + (g2^24*t^6.217)/g1^8 - g1^4*g2^4*t^6.249 + (g1^16*t^6.282)/g2^16 - g2^16*t^6.358 - (g1^12*t^6.39)/g2^4 - g1^8*g2^8*t^6.499 + t^6.581/(g1^9*g2^25) + t^6.69/(g1^13*g2^13) + t^6.798/(g1^17*g2) + (2*t^6.831)/(g1^5*g2^21) + (2*t^6.939)/(g1^9*g2^9) + t^6.955/(g1^3*g2^19) + (2*g2^3*t^7.048)/g1^13 + t^7.064/(g1^7*g2^7) + t^7.08/(g1*g2^17) + (g2^5*t^7.172)/g1^11 + (3*t^7.188)/(g1^5*g2^5) - (g1*t^7.205)/g2^15 + (g1^7*t^7.221)/g2^25 + (3*g2^7*t^7.297)/g1^9 + (g1^3*t^7.329)/g2^13 + (g2^19*t^7.405)/g1^13 + t^7.438/(g1*g2) + (g1^5*t^7.454)/g2^11 + t^7.504/(g1^24*g2^24) + (2*g2^11*t^7.546)/g1^5 + (g1^7*t^7.579)/g2^9 + (g2^23*t^7.655)/g1^9 + g1^3*g2^3*t^7.687 - (g1^9*t^7.703)/g2^7 + (g1^15*t^7.719)/g2^17 + (2*t^7.754)/(g1^20*g2^20) + (g1^11*t^7.828)/g2^5 + t^7.878/(g1^18*g2^18) + (g2^27*t^7.904)/g1^5 - g1*g2^17*t^7.92 + (g1^13*t^7.952)/g2^3 + (3*t^8.003)/(g1^16*g2^16) - g1^9*g2^9*t^8.061 + (g1^15*t^8.077)/g2 + (2*t^8.128)/(g1^14*g2^14) + t^8.16/(g1^2*g2^34) - g1^17*g2*t^8.202 + (g1^23*t^8.218)/g2^9 + (4*t^8.252)/(g1^12*g2^12) + t^8.268/(g1^6*g2^22) + (4*t^8.377)/(g1^10*g2^10) - t^8.393/(g1^4*g2^20) + (g2^2*t^8.485)/g1^14 + t^8.518/(g1^2*g2^18) + (g2^14*t^8.594)/g1^18 + (3*t^8.626)/(g1^6*g2^6) + (g1^6*t^8.658)/g2^26 + (2*g2^6*t^8.735)/g1^10 - (7*t^8.751)/(g1^4*g2^4) + (2*g1^2*t^8.767)/g2^14 + (g2^18*t^8.843)/g1^14 - (g2^8*t^8.859)/g1^8 - t^8.875/(g1^2*g2^2) + (g2^20*t^8.968)/g1^12 + (2*g2^10*t^8.984)/g1^6 - t^4.438/(g1*g2*y) - t^6.939/(g1^9*g2^9*y) - t^7.188/(g1^5*g2^5*y) - t^7.313/(g1^3*g2^3*y) + (g1*g2*t^7.562)/y + (g1^3*g2^3*t^7.687)/y + (g1^7*g2^7*t^7.936)/y + (2*t^8.252)/(g1^12*g2^12*y) + t^8.377/(g1^10*g2^10*y) + (2*t^8.501)/(g1^8*g2^8*y) + (g2^4*t^8.61)/(g1^12*y) + (2*t^8.626)/(g1^6*g2^6*y) + t^8.642/(g2^16*y) + (2*t^8.751)/(g1^4*g2^4*y) + (2*g2^8*t^8.859)/(g1^8*y) + t^8.875/(g1^2*g2^2*y) + (2*g1^4*t^8.892)/(g2^12*y) + (g2^10*t^8.984)/(g1^6*y) - (t^4.438*y)/(g1*g2) - (t^6.939*y)/(g1^9*g2^9) - (t^7.188*y)/(g1^5*g2^5) - (t^7.313*y)/(g1^3*g2^3) + g1*g2*t^7.562*y + g1^3*g2^3*t^7.687*y + g1^7*g2^7*t^7.936*y + (2*t^8.252*y)/(g1^12*g2^12) + (t^8.377*y)/(g1^10*g2^10) + (2*t^8.501*y)/(g1^8*g2^8) + (g2^4*t^8.61*y)/g1^12 + (2*t^8.626*y)/(g1^6*g2^6) + (t^8.642*y)/g2^16 + (2*t^8.751*y)/(g1^4*g2^4) + (2*g2^8*t^8.859*y)/g1^8 + (t^8.875*y)/(g1^2*g2^2) + (2*g1^4*t^8.892*y)/g2^12 + (g2^10*t^8.984*y)/g1^6

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
46918	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{3}^{2}$ + ${ }M_{1}M_{2}$ + ${ }M_{2}M_{5}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$	0.708	0.8725	0.8115	[M:[0.9246, 1.0754, 1.0, 0.8491, 0.9246], q:[0.5, 0.5754], qb:[0.4246, 0.5754], phi:[0.4811]]	t^2.547 + 2*t^2.774 + t^2.887 + 2*t^3. + t^3.226 + t^3.991 + t^4.217 + 3*t^4.443 + 2*t^4.67 + 3*t^4.896 + t^5.095 + 2*t^5.321 + t^5.434 + 3*t^5.547 + 2*t^5.66 + 3*t^5.774 + 2*t^5.887 - t^6. - t^4.443/y - t^4.443*y	detail
46898	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{3}^{2}$ + ${ }M_{1}M_{2}$ + ${ }M_{2}M_{5}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$	0.7086	0.8735	0.8112	[M:[0.9207, 1.0793, 1.0, 0.8413, 0.9207], q:[0.4603, 0.619], qb:[0.4603, 0.5397], phi:[0.4802]]	t^2.524 + 2*t^2.762 + t^2.881 + 2*t^3. + t^3.238 + 3*t^4.202 + 2*t^4.44 + 3*t^4.679 + t^4.917 + t^5.048 + t^5.155 + 2*t^5.286 + t^5.405 + 3*t^5.524 + 2*t^5.643 + 3*t^5.762 + 2*t^5.881 - t^6. - t^4.44/y - t^4.44*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
46091	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{3}^{2}$ + ${ }M_{1}M_{2}$	0.7027	0.862	0.8151	[M:[0.9335, 1.0665, 1.0, 0.867], q:[0.4817, 0.5848], qb:[0.4519, 0.5481], phi:[0.4834]]	t^2.601 + t^2.801 + t^2.9 + t^3. + t^3.089 + t^3.11 + t^3.199 + t^4.161 + t^4.251 + t^4.34 + t^4.45 + t^4.54 + t^4.56 + t^4.65 + t^4.739 + t^4.849 + t^4.959 + t^5.202 + t^5.402 + t^5.501 + t^5.601 + t^5.701 + 2*t^5.801 + t^5.9 + t^5.99 - 2*t^6. - t^4.45/y - t^4.45*y	detail