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
4969	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{5}q_{2}\tilde{q}_{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{6}$ + ${ }M_{1}^{2}$ + ${ }\phi_{1}q_{2}^{2}$ + ${ }M_{7}\phi_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{8}\phi_{1}q_{1}\tilde{q}_{2}$	0.647	0.8522	0.7592	[M:[1.0, 1.0269, 0.9462, 1.2567, 0.6895, 0.7433, 0.7702, 0.7164], q:[0.2433, 0.7567], qb:[0.5, 0.5538], phi:[0.4865]]	[M:[[0], [4], [-8], [1], [-9], [-1], [3], [-5]], q:[[-1], [1]], qb:[[0], [8]], phi:[[-2]]]	1

Relevant Operators	Marginal Operators	$n_{marginal}$$-$$|F_{IR}|$	Superconformal Index	Refined index
${}M_{5}$, ${ }M_{8}$, ${ }M_{6}$, ${ }M_{7}$, ${ }q_{1}\tilde{q}_{2}$, ${ }M_{3}$, ${ }\phi_{1}q_{1}^{2}$, ${ }M_{1}$, ${ }M_{2}$, ${ }M_{4}$, ${ }M_{5}^{2}$, ${ }M_{5}M_{8}$, ${ }M_{5}M_{6}$, ${ }M_{8}^{2}$, ${ }M_{5}M_{7}$, ${ }M_{6}M_{8}$, ${ }M_{6}^{2}$, ${ }M_{7}M_{8}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{5}q_{1}\tilde{q}_{2}$, ${ }M_{6}M_{7}$, ${ }M_{8}q_{1}\tilde{q}_{2}$, ${ }M_{7}^{2}$, ${ }M_{6}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{7}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }q_{1}^{2}\tilde{q}_{2}^{2}$, ${ }M_{3}M_{5}$, ${ }M_{3}M_{8}$, ${ }M_{5}\phi_{1}q_{1}^{2}$, ${ }M_{1}M_{5}$, ${ }M_{3}M_{6}$, ${ }M_{8}\phi_{1}q_{1}^{2}$, ${ }M_{2}M_{5}$, ${ }M_{3}M_{7}$, ${ }M_{1}M_{8}$, ${ }M_{6}\phi_{1}q_{1}^{2}$, ${ }M_{1}M_{6}$, ${ }M_{2}M_{8}$, ${ }M_{7}\phi_{1}q_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{2}M_{6}$, ${ }M_{1}M_{7}$, ${ }\phi_{1}q_{1}^{3}\tilde{q}_{2}$, ${ }M_{2}M_{7}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{2}q_{1}\tilde{q}_{2}$, ${ }M_{3}^{2}$, ${ }M_{3}\phi_{1}q_{1}^{2}$, ${ }M_{1}M_{3}$, ${ }M_{4}M_{5}$, ${ }\phi_{1}^{2}q_{1}^{4}$, ${ }M_{2}M_{3}$, ${ }M_{4}M_{8}$	${}$	-1	t^2.068 + t^2.149 + t^2.23 + t^2.311 + t^2.391 + t^2.839 + t^2.919 + t^3. + t^3.081 + t^3.77 + t^4.137 + t^4.217 + 2*t^4.298 + 2*t^4.379 + 4*t^4.46 + 2*t^4.54 + 3*t^4.621 + t^4.702 + 2*t^4.783 + t^4.907 + 2*t^4.988 + 2*t^5.068 + 4*t^5.149 + 3*t^5.23 + 3*t^5.311 + 2*t^5.391 + t^5.472 + t^5.677 + t^5.758 + 2*t^5.839 + 2*t^5.919 - t^6. + t^6.081 + t^6.205 + t^6.286 + 2*t^6.367 + 3*t^6.447 + 4*t^6.528 + 5*t^6.609 + 5*t^6.689 + 4*t^6.77 + 5*t^6.851 + 3*t^6.932 + t^6.975 + 3*t^7.012 + 2*t^7.056 + 2*t^7.093 + 3*t^7.137 + 2*t^7.174 + 5*t^7.217 + 6*t^7.298 + 7*t^7.379 + 6*t^7.46 + 6*t^7.54 + 4*t^7.621 + 4*t^7.702 + t^7.745 + 2*t^7.783 + 2*t^7.826 + t^7.863 + 3*t^7.907 + 4*t^7.988 + 2*t^8.068 + t^8.149 + t^8.23 + t^8.273 - 3*t^8.311 + t^8.354 - 2*t^8.391 + 2*t^8.435 - 2*t^8.472 + 4*t^8.516 + 6*t^8.596 + 7*t^8.677 + 9*t^8.758 + 3*t^8.839 + 6*t^8.919 - t^4.46/y - t^6.528/y - t^6.609/y - t^6.77/y + t^7.217/y + (2*t^7.379)/y + (2*t^7.46)/y + (2*t^7.54)/y + (2*t^7.621)/y + t^7.702/y + t^7.907/y + (2*t^7.988)/y + (3*t^8.068)/y + (5*t^8.149)/y + (4*t^8.23)/y + (4*t^8.311)/y + (3*t^8.391)/y + t^8.472/y - t^8.596/y - t^8.677/y + t^8.839/y + (2*t^8.919)/y - t^4.46*y - t^6.528*y - t^6.609*y - t^6.77*y + t^7.217*y + 2*t^7.379*y + 2*t^7.46*y + 2*t^7.54*y + 2*t^7.621*y + t^7.702*y + t^7.907*y + 2*t^7.988*y + 3*t^8.068*y + 5*t^8.149*y + 4*t^8.23*y + 4*t^8.311*y + 3*t^8.391*y + t^8.472*y - t^8.596*y - t^8.677*y + t^8.839*y + 2*t^8.919*y	t^2.068/g1^9 + t^2.149/g1^5 + t^2.23/g1 + g1^3*t^2.311 + g1^7*t^2.391 + t^2.839/g1^8 + t^2.919/g1^4 + t^3. + g1^4*t^3.081 + g1*t^3.77 + t^4.137/g1^18 + t^4.217/g1^14 + (2*t^4.298)/g1^10 + (2*t^4.379)/g1^6 + (4*t^4.46)/g1^2 + 2*g1^2*t^4.54 + 3*g1^6*t^4.621 + g1^10*t^4.702 + 2*g1^14*t^4.783 + t^4.907/g1^17 + (2*t^4.988)/g1^13 + (2*t^5.068)/g1^9 + (4*t^5.149)/g1^5 + (3*t^5.23)/g1 + 3*g1^3*t^5.311 + 2*g1^7*t^5.391 + g1^11*t^5.472 + t^5.677/g1^16 + t^5.758/g1^12 + (2*t^5.839)/g1^8 + (2*t^5.919)/g1^4 - t^6. + g1^4*t^6.081 + t^6.205/g1^27 + t^6.286/g1^23 + (2*t^6.367)/g1^19 + (3*t^6.447)/g1^15 + (4*t^6.528)/g1^11 + (5*t^6.609)/g1^7 + (5*t^6.689)/g1^3 + 4*g1*t^6.77 + 5*g1^5*t^6.851 + 3*g1^9*t^6.932 + t^6.975/g1^26 + 3*g1^13*t^7.012 + (2*t^7.056)/g1^22 + 2*g1^17*t^7.093 + (3*t^7.137)/g1^18 + 2*g1^21*t^7.174 + (5*t^7.217)/g1^14 + (6*t^7.298)/g1^10 + (7*t^7.379)/g1^6 + (6*t^7.46)/g1^2 + 6*g1^2*t^7.54 + 4*g1^6*t^7.621 + 4*g1^10*t^7.702 + t^7.745/g1^25 + 2*g1^14*t^7.783 + (2*t^7.826)/g1^21 + g1^18*t^7.863 + (3*t^7.907)/g1^17 + (4*t^7.988)/g1^13 + (2*t^8.068)/g1^9 + t^8.149/g1^5 + t^8.23/g1 + t^8.273/g1^36 - 3*g1^3*t^8.311 + t^8.354/g1^32 - 2*g1^7*t^8.391 + (2*t^8.435)/g1^28 - 2*g1^11*t^8.472 + (4*t^8.516)/g1^24 + (6*t^8.596)/g1^20 + (7*t^8.677)/g1^16 + (9*t^8.758)/g1^12 + (3*t^8.839)/g1^8 + (6*t^8.919)/g1^4 - t^4.46/(g1^2*y) - t^6.528/(g1^11*y) - t^6.609/(g1^7*y) - (g1*t^6.77)/y + t^7.217/(g1^14*y) + (2*t^7.379)/(g1^6*y) + (2*t^7.46)/(g1^2*y) + (2*g1^2*t^7.54)/y + (2*g1^6*t^7.621)/y + (g1^10*t^7.702)/y + t^7.907/(g1^17*y) + (2*t^7.988)/(g1^13*y) + (3*t^8.068)/(g1^9*y) + (5*t^8.149)/(g1^5*y) + (4*t^8.23)/(g1*y) + (4*g1^3*t^8.311)/y + (3*g1^7*t^8.391)/y + (g1^11*t^8.472)/y - t^8.596/(g1^20*y) - t^8.677/(g1^16*y) + t^8.839/(g1^8*y) + (2*t^8.919)/(g1^4*y) - (t^4.46*y)/g1^2 - (t^6.528*y)/g1^11 - (t^6.609*y)/g1^7 - g1*t^6.77*y + (t^7.217*y)/g1^14 + (2*t^7.379*y)/g1^6 + (2*t^7.46*y)/g1^2 + 2*g1^2*t^7.54*y + 2*g1^6*t^7.621*y + g1^10*t^7.702*y + (t^7.907*y)/g1^17 + (2*t^7.988*y)/g1^13 + (3*t^8.068*y)/g1^9 + (5*t^8.149*y)/g1^5 + (4*t^8.23*y)/g1 + 4*g1^3*t^8.311*y + 3*g1^7*t^8.391*y + g1^11*t^8.472*y - (t^8.596*y)/g1^20 - (t^8.677*y)/g1^16 + (t^8.839*y)/g1^8 + (2*t^8.919*y)/g1^4

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
6558	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{5}q_{2}\tilde{q}_{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{6}$ + ${ }M_{1}^{2}$ + ${ }\phi_{1}q_{2}^{2}$ + ${ }M_{7}\phi_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{8}\phi_{1}q_{1}\tilde{q}_{2}$ + ${ }M_{9}\phi_{1}q_{1}^{2}$	0.6448	0.8483	0.7602	[M:[1.0, 1.0182, 0.9635, 1.2546, 0.7089, 0.7454, 0.7637, 0.7272, 1.0182], q:[0.2454, 0.7546], qb:[0.5, 0.5365], phi:[0.4909]]	t^2.127 + t^2.182 + t^2.236 + t^2.291 + t^2.346 + t^2.891 + t^3. + 2*t^3.055 + t^3.764 + t^4.254 + t^4.308 + 2*t^4.363 + 2*t^4.418 + 4*t^4.473 + 2*t^4.527 + 3*t^4.582 + t^4.637 + 2*t^4.692 + t^5.017 + t^5.072 + t^5.127 + 4*t^5.182 + 3*t^5.236 + 3*t^5.291 + 3*t^5.346 + 2*t^5.401 + t^5.781 + t^5.891 + 2*t^5.945 - 2*t^6. - t^4.473/y - t^4.473*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
3063	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{5}q_{2}\tilde{q}_{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{6}$ + ${ }M_{1}^{2}$ + ${ }\phi_{1}q_{2}^{2}$ + ${ }M_{7}\phi_{1}q_{1}\tilde{q}_{1}$	0.6268	0.8143	0.7698	[M:[1.0, 1.0237, 0.9526, 1.2559, 0.6967, 0.7441, 0.7678], q:[0.2441, 0.7559], qb:[0.5, 0.5474], phi:[0.4882]]	t^2.09 + t^2.232 + t^2.303 + t^2.374 + t^2.858 + t^2.929 + t^3. + t^3.071 + t^3.768 + t^3.839 + t^4.18 + t^4.322 + t^4.393 + 3*t^4.464 + t^4.536 + 3*t^4.607 + t^4.678 + 2*t^4.749 + t^4.948 + t^5.019 + t^5.09 + 3*t^5.161 + 2*t^5.232 + 3*t^5.303 + 2*t^5.374 + t^5.446 + t^5.716 + t^5.787 + 2*t^5.858 + 2*t^5.929 - t^6. - t^4.464/y - t^4.464*y	detail