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
2832	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{3}M_{5}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{2}M_{6}$	0.6933	0.8484	0.8171	[M:[0.971, 0.7285, 1.029, 0.6706, 0.971, 1.2715], q:[0.4871, 0.5419], qb:[0.4839, 0.7876], phi:[0.4249]]	[M:[[1, -7], [-1, -1], [-1, 7], [1, -15], [1, -7], [1, 1]], q:[[0, -7], [-1, 14]], qb:[[1, 0], [0, 1]], phi:[[0, -2]]]	2

Relevant Operators	Marginal Operators	$n_{marginal}$$-$$|F_{IR}|$	Superconformal Index	Refined index
${}M_{4}$, ${ }\phi_{1}^{2}$, ${ }M_{1}$, ${ }M_{5}$, ${ }q_{2}\tilde{q}_{1}$, ${ }M_{6}$, ${ }q_{1}\tilde{q}_{2}$, ${ }M_{4}^{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{1}M_{4}$, ${ }M_{4}M_{5}$, ${ }M_{4}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{4}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{1}\phi_{1}^{2}$, ${ }M_{5}\phi_{1}^{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$, ${ }M_{1}^{2}$, ${ }M_{1}M_{5}$, ${ }M_{5}^{2}$, ${ }M_{4}M_{6}$, ${ }M_{5}q_{2}\tilde{q}_{1}$	${}$	-3	t^2.012 + t^2.549 + 2*t^2.913 + t^3.077 + t^3.814 + t^3.824 + t^4.024 + t^4.178 + t^4.188 + t^4.197 + t^4.352 + t^4.362 + t^4.526 + t^4.561 + 2*t^4.925 + t^5.089 + t^5.099 + 2*t^5.462 + t^5.627 + 3*t^5.826 + t^5.99 - 3*t^6. - t^6.01 + t^6.035 + t^6.155 - t^6.164 - t^6.174 + t^6.19 + t^6.2 + t^6.209 + t^6.364 + t^6.373 + t^6.573 + 3*t^6.728 + 2*t^6.737 + t^6.747 + t^6.892 + 2*t^6.937 + t^7.075 + 2*t^7.091 + 2*t^7.101 + 2*t^7.11 + t^7.256 + t^7.265 - t^7.284 + t^7.429 + t^7.439 - t^7.448 + 2*t^7.474 + t^7.603 + t^7.638 + t^7.648 - t^7.803 - t^7.812 + 3*t^7.838 - t^7.976 + t^7.993 + 2*t^8.002 + t^8.047 + t^8.166 - t^8.186 + t^8.202 + t^8.211 + t^8.221 + t^8.356 + t^8.366 + 4*t^8.376 + t^8.385 + t^8.395 + t^8.53 + t^8.54 - 3*t^8.549 + t^8.585 + 2*t^8.704 - t^8.714 + 5*t^8.739 + t^8.749 + t^8.758 + t^8.878 + t^8.887 + t^8.904 - 6*t^8.913 - t^8.923 + 2*t^8.948 - t^4.275/y - t^6.286/y - t^6.824/y - t^7.188/y + t^7.362/y + t^7.561/y + t^7.725/y + (2*t^7.925)/y + t^8.089/y + t^8.263/y - t^8.298/y + (2*t^8.462)/y + t^8.627/y + (2*t^8.826)/y + (2*t^8.99)/y - t^4.275*y - t^6.286*y - t^6.824*y - t^7.188*y + t^7.362*y + t^7.561*y + t^7.725*y + 2*t^7.925*y + t^8.089*y + t^8.263*y - t^8.298*y + 2*t^8.462*y + t^8.627*y + 2*t^8.826*y + 2*t^8.99*y	(g1*t^2.012)/g2^15 + t^2.549/g2^4 + (2*g1*t^2.913)/g2^7 + g2^14*t^3.077 + g1*g2*t^3.814 + t^3.824/g2^6 + (g1^2*t^4.024)/g2^30 + (g1^2*t^4.178)/g2^2 + (g1*t^4.188)/g2^9 + t^4.197/g2^16 + g2^12*t^4.352 + (g2^5*t^4.362)/g1 + (g2^26*t^4.526)/g1^2 + (g1*t^4.561)/g2^19 + (2*g1^2*t^4.925)/g2^22 + (g1*t^5.089)/g2 + t^5.099/g2^8 + (2*g1*t^5.462)/g2^11 + g2^10*t^5.627 + (3*g1^2*t^5.826)/g2^14 + g1*g2^7*t^5.99 - 3*t^6. - t^6.01/(g1*g2^7) + (g1^3*t^6.035)/g2^45 + g2^28*t^6.155 - (g2^21*t^6.164)/g1 - (g2^14*t^6.174)/g1^2 + (g1^3*t^6.19)/g2^17 + (g1^2*t^6.2)/g2^24 + (g1*t^6.209)/g2^31 + (g1*t^6.364)/g2^3 + t^6.373/g2^10 + (g1^2*t^6.573)/g2^34 + (3*g1^2*t^6.728)/g2^6 + (2*g1*t^6.737)/g2^13 + t^6.747/g2^20 + g1*g2^15*t^6.892 + (2*g1^3*t^6.937)/g2^37 + (g2^22*t^7.075)/g1^2 + (2*g1^3*t^7.091)/g2^9 + (2*g1^2*t^7.101)/g2^16 + (2*g1*t^7.11)/g2^23 + g1^2*g2^12*t^7.256 + g1*g2^5*t^7.265 - t^7.284/(g1*g2^9) + g2^26*t^7.429 + (g2^19*t^7.439)/g1 - (g2^12*t^7.448)/g1^2 + (2*g1^2*t^7.474)/g2^26 + (g2^40*t^7.603)/g1^2 + (g1*t^7.638)/g2^5 + t^7.648/g2^12 - g2^16*t^7.803 - (g2^9*t^7.812)/g1 + (3*g1^3*t^7.838)/g2^29 - (g2^30*t^7.976)/g1^2 + (g1^3*t^7.993)/g2 + (2*g1^2*t^8.002)/g2^8 + (g1^4*t^8.047)/g2^60 + g1*g2^13*t^8.166 - t^8.186/(g1*g2) + (g1^4*t^8.202)/g2^32 + (g1^3*t^8.211)/g2^39 + (g1^2*t^8.221)/g2^46 + (g1^4*t^8.356)/g2^4 + (g1^3*t^8.366)/g2^11 + (4*g1^2*t^8.376)/g2^18 + (g1*t^8.385)/g2^25 + t^8.395/g2^32 + g1^2*g2^10*t^8.53 + g1*g2^3*t^8.54 - (3*t^8.549)/g2^4 + (g1^3*t^8.585)/g2^49 + 2*g2^24*t^8.704 - (g2^17*t^8.714)/g1 + (5*g1^3*t^8.739)/g2^21 + (g1^2*t^8.749)/g2^28 + (g1*t^8.758)/g2^35 + (g2^38*t^8.878)/g1^2 + (g2^31*t^8.887)/g1^3 + g1^2*t^8.904 - (6*g1*t^8.913)/g2^7 - t^8.923/g2^14 + (2*g1^4*t^8.948)/g2^52 - t^4.275/(g2^2*y) - (g1*t^6.286)/(g2^17*y) - t^6.824/(g2^6*y) - (g1*t^7.188)/(g2^9*y) + (g2^5*t^7.362)/(g1*y) + (g1*t^7.561)/(g2^19*y) + (g2^2*t^7.725)/y + (2*g1^2*t^7.925)/(g2^22*y) + (g1*t^8.089)/(g2*y) + (g2^13*t^8.263)/(g1*y) - (g1^2*t^8.298)/(g2^32*y) + (2*g1*t^8.462)/(g2^11*y) + (g2^10*t^8.627)/y + (2*g1^2*t^8.826)/(g2^14*y) + (2*g1*g2^7*t^8.99)/y - (t^4.275*y)/g2^2 - (g1*t^6.286*y)/g2^17 - (t^6.824*y)/g2^6 - (g1*t^7.188*y)/g2^9 + (g2^5*t^7.362*y)/g1 + (g1*t^7.561*y)/g2^19 + g2^2*t^7.725*y + (2*g1^2*t^7.925*y)/g2^22 + (g1*t^8.089*y)/g2 + (g2^13*t^8.263*y)/g1 - (g1^2*t^8.298*y)/g2^32 + (2*g1*t^8.462*y)/g2^11 + g2^10*t^8.627*y + (2*g1^2*t^8.826*y)/g2^14 + 2*g1*g2^7*t^8.99*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
3382	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{3}M_{5}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{2}M_{6}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$	0.6933	0.8483	0.8172	[M:[0.972, 0.7263, 1.028, 0.6702, 0.972, 1.2737], q:[0.486, 0.542], qb:[0.486, 0.7877], phi:[0.4246]]	t^2.011 + t^2.547 + 2*t^2.916 + t^3.084 + 2*t^3.821 + t^4.021 + 3*t^4.19 + 2*t^4.358 + t^4.526 + t^4.558 + 2*t^4.927 + 2*t^5.095 + 2*t^5.463 + t^5.631 + 3*t^5.832 - 3*t^6. - t^4.274/y - t^4.274*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
1815	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{3}M_{5}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$	0.7133	0.8853	0.8057	[M:[0.9782, 0.7152, 1.0218, 0.6716, 0.9782], q:[0.4817, 0.5401], qb:[0.4965, 0.7883], phi:[0.4234]]	t^2.015 + t^2.146 + t^2.54 + 2*t^2.935 + t^3.11 + t^3.81 + t^4.03 + 2*t^4.16 + t^4.205 + t^4.249 + t^4.291 + t^4.335 + t^4.38 + t^4.51 + t^4.555 + t^4.686 + 2*t^4.95 + 3*t^5.08 + t^5.125 + t^5.255 + 2*t^5.475 + t^5.65 + 2*t^5.869 - 3*t^6. - t^4.27/y - t^4.27*y	detail