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
2799	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{2}M_{3}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ + ${ }M_{5}\phi_{1}q_{2}^{2}$	0.6302	0.8242	0.7646	[M:[0.948, 1.156, 0.844, 0.7341, 0.844], q:[0.737, 0.315], qb:[0.4249, 0.419], phi:[0.526]]	[M:[[-4], [12], [-12], [18], [-12]], q:[[-1], [5]], qb:[[-25], [13]], phi:[[2]]]	1

Relevant Operators	Marginal Operators	$n_{marginal}$$-$$|F_{IR}|$	Superconformal Index	Refined index
${}M_{4}$, ${ }q_{2}\tilde{q}_{2}$, ${ }q_{2}\tilde{q}_{1}$, ${ }M_{3}$, ${ }M_{5}$, ${ }M_{1}$, ${ }\phi_{1}^{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{4}^{2}$, ${ }M_{4}q_{2}\tilde{q}_{2}$, ${ }q_{2}^{2}\tilde{q}_{2}^{2}$, ${ }M_{4}q_{2}\tilde{q}_{1}$, ${ }q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{2}^{2}\tilde{q}_{1}^{2}$, ${ }M_{3}M_{4}$, ${ }M_{4}M_{5}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }M_{3}q_{2}\tilde{q}_{2}$, ${ }M_{5}q_{2}\tilde{q}_{2}$, ${ }M_{3}q_{2}\tilde{q}_{1}$, ${ }M_{5}q_{2}\tilde{q}_{1}$, ${ }M_{1}M_{4}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{3}^{2}$, ${ }M_{3}M_{5}$, ${ }M_{5}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{4}\phi_{1}^{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$, ${ }M_{1}M_{3}$, ${ }M_{1}M_{5}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$, ${ }M_{4}\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{2}^{3}\tilde{q}_{2}$, ${ }M_{1}^{2}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{5}\phi_{1}^{2}$, ${ }M_{4}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}^{3}\tilde{q}_{1}$, ${ }q_{1}q_{2}\tilde{q}_{1}^{2}$, ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}^{2}\tilde{q}_{2}^{2}$	${}M_{3}\phi_{1}q_{2}^{2}$	0	2*t^2.202 + t^2.22 + 2*t^2.532 + t^2.844 + t^3.156 + t^3.468 + t^3.486 + t^3.78 + t^4.092 + t^4.11 + t^4.128 + 3*t^4.404 + 2*t^4.422 + t^4.44 + 4*t^4.734 + 2*t^4.752 + 2*t^5.046 + 4*t^5.064 + 2*t^5.358 + 3*t^5.376 + t^5.67 + 4*t^5.688 + t^5.706 + t^5.982 + t^6.018 + 2*t^6.294 + 3*t^6.312 + 2*t^6.33 + t^6.347 + 4*t^6.607 + 5*t^6.624 + 3*t^6.642 + 3*t^6.659 + 6*t^6.936 + 3*t^6.954 + 3*t^6.971 + 3*t^7.248 + 6*t^7.266 + 4*t^7.284 + 3*t^7.56 + 3*t^7.578 + 6*t^7.596 + t^7.613 + 2*t^7.872 + 4*t^7.89 + 5*t^7.908 + t^7.925 + 2*t^8.185 - 2*t^8.202 + 4*t^8.22 + 2*t^8.237 + t^8.255 + 3*t^8.497 + 2*t^8.514 + 3*t^8.55 + t^8.567 + 5*t^8.809 + 6*t^8.826 + 2*t^8.844 + 4*t^8.862 + 3*t^8.879 - t^4.578/y - t^6.78/y - t^7.11/y + t^7.404/y + (2*t^7.422)/y + (4*t^7.734)/y + (2*t^7.752)/y + (3*t^8.046)/y + (2*t^8.064)/y + (2*t^8.358)/y + (4*t^8.376)/y + (2*t^8.67)/y + (5*t^8.688)/y + t^8.706/y + t^8.982/y - t^4.578*y - t^6.78*y - t^7.11*y + t^7.404*y + 2*t^7.422*y + 4*t^7.734*y + 2*t^7.752*y + 3*t^8.046*y + 2*t^8.064*y + 2*t^8.358*y + 4*t^8.376*y + 2*t^8.67*y + 5*t^8.688*y + t^8.706*y + t^8.982*y	2*g1^18*t^2.202 + t^2.22/g1^20 + (2*t^2.532)/g1^12 + t^2.844/g1^4 + g1^4*t^3.156 + g1^12*t^3.468 + t^3.486/g1^26 + g1^20*t^3.78 + g1^28*t^4.092 + t^4.11/g1^10 + t^4.128/g1^48 + 3*g1^36*t^4.404 + (2*t^4.422)/g1^2 + t^4.44/g1^40 + 4*g1^6*t^4.734 + (2*t^4.752)/g1^32 + 2*g1^14*t^5.046 + (4*t^5.064)/g1^24 + 2*g1^22*t^5.358 + (3*t^5.376)/g1^16 + g1^30*t^5.67 + (4*t^5.688)/g1^8 + t^5.706/g1^46 + g1^38*t^5.982 + t^6.018/g1^38 + 2*g1^46*t^6.294 + 3*g1^8*t^6.312 + (2*t^6.33)/g1^30 + t^6.347/g1^68 + 4*g1^54*t^6.607 + 5*g1^16*t^6.624 + (3*t^6.642)/g1^22 + (3*t^6.659)/g1^60 + 6*g1^24*t^6.936 + (3*t^6.954)/g1^14 + (3*t^6.971)/g1^52 + 3*g1^32*t^7.248 + (6*t^7.266)/g1^6 + (4*t^7.284)/g1^44 + 3*g1^40*t^7.56 + 3*g1^2*t^7.578 + (6*t^7.596)/g1^36 + t^7.613/g1^74 + 2*g1^48*t^7.872 + 4*g1^10*t^7.89 + (5*t^7.908)/g1^28 + t^7.925/g1^66 + 2*g1^56*t^8.185 - 2*g1^18*t^8.202 + (4*t^8.22)/g1^20 + (2*t^8.237)/g1^58 + t^8.255/g1^96 + 3*g1^64*t^8.497 + 2*g1^26*t^8.514 + (3*t^8.55)/g1^50 + t^8.567/g1^88 + 5*g1^72*t^8.809 + 6*g1^34*t^8.826 + (2*t^8.844)/g1^4 + (4*t^8.862)/g1^42 + (3*t^8.879)/g1^80 - (g1^2*t^4.578)/y - (g1^20*t^6.78)/y - t^7.11/(g1^10*y) + (g1^36*t^7.404)/y + (2*t^7.422)/(g1^2*y) + (4*g1^6*t^7.734)/y + (2*t^7.752)/(g1^32*y) + (3*g1^14*t^8.046)/y + (2*t^8.064)/(g1^24*y) + (2*g1^22*t^8.358)/y + (4*t^8.376)/(g1^16*y) + (2*g1^30*t^8.67)/y + (5*t^8.688)/(g1^8*y) + t^8.706/(g1^46*y) + (g1^38*t^8.982)/y - g1^2*t^4.578*y - g1^20*t^6.78*y - (t^7.11*y)/g1^10 + g1^36*t^7.404*y + (2*t^7.422*y)/g1^2 + 4*g1^6*t^7.734*y + (2*t^7.752*y)/g1^32 + 3*g1^14*t^8.046*y + (2*t^8.064*y)/g1^24 + 2*g1^22*t^8.358*y + (4*t^8.376*y)/g1^16 + 2*g1^30*t^8.67*y + (5*t^8.688*y)/g1^8 + (t^8.706*y)/g1^46 + g1^38*t^8.982*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
3322	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{2}M_{3}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ + ${ }M_{5}\phi_{1}q_{2}^{2}$ + ${ }M_{6}q_{1}\tilde{q}_{1}$	0.6451	0.8502	0.7587	[M:[0.9518, 1.1447, 0.8553, 0.7171, 0.8553, 0.8136], q:[0.7379, 0.3103], qb:[0.4485, 0.4068], phi:[0.5241]]	2*t^2.151 + t^2.276 + t^2.441 + 2*t^2.566 + t^2.855 + t^3.145 + t^3.434 + t^3.724 + t^4.013 + t^4.138 + t^4.263 + 3*t^4.303 + 2*t^4.428 + t^4.553 + 2*t^4.592 + 5*t^4.717 + 2*t^4.842 + t^4.882 + 4*t^5.007 + 4*t^5.132 + 3*t^5.296 + 3*t^5.421 + 2*t^5.586 + 2*t^5.711 + 2*t^5.875 - t^4.572/y - t^4.572*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
1788	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{2}M_{3}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$	0.6325	0.8243	0.7672	[M:[0.9649, 1.1054, 0.8946, 0.7471, 0.8056], q:[0.7412, 0.2939], qb:[0.4414, 0.4532], phi:[0.5176]]	t^2.206 + 2*t^2.241 + t^2.417 + t^2.684 + t^2.895 + t^3.105 + t^3.316 + t^3.548 + t^3.794 + t^4.201 + t^4.236 + t^4.272 + t^4.412 + 2*t^4.447 + 3*t^4.483 + t^4.623 + 2*t^4.658 + t^4.833 + t^4.89 + 2*t^4.925 + 2*t^5.1 + 2*t^5.136 + 2*t^5.311 + 2*t^5.347 + t^5.367 + t^5.522 + t^5.558 + t^5.578 + t^5.733 + t^5.754 + 3*t^5.789 - t^6. - t^4.553/y - t^4.553*y	detail