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
46078	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{2}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }q_{1}q_{2}\tilde{q}_{2}^{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$	0.6066	0.7783	0.7794	[M:[0.9857, 0.7607, 1.043], q:[0.7464, 0.2679], qb:[0.4642, 0.4928], phi:[0.5072]]	[M:[[4], [-3], [-12]], q:[[1], [-5]], qb:[[10], [2]], phi:[[-2]]]	1

Relevant Operators	Marginal Operators	$n_{marginal}$$-$$|F_{IR}|$	Superconformal Index	Refined index
${}q_{2}\tilde{q}_{1}$, ${ }M_{2}$, ${ }q_{2}\tilde{q}_{2}$, ${ }M_{1}$, ${ }\phi_{1}^{2}$, ${ }M_{3}$, ${ }\phi_{1}q_{2}^{2}$, ${ }q_{1}\tilde{q}_{1}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }q_{2}^{2}\tilde{q}_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{2}q_{2}\tilde{q}_{1}$, ${ }q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{2}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }M_{2}q_{2}\tilde{q}_{2}$, ${ }q_{2}^{2}\tilde{q}_{2}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{1}M_{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{2}\phi_{1}^{2}$, ${ }M_{3}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}^{3}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$, ${ }M_{2}M_{3}$, ${ }M_{3}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}^{3}\tilde{q}_{2}$, ${ }q_{1}q_{2}\tilde{q}_{1}^{2}$, ${ }M_{1}^{2}$, ${ }M_{2}q_{1}\tilde{q}_{1}$	${}M_{2}q_{1}\tilde{q}_{2}$	0	t^2.196 + 2*t^2.282 + t^2.957 + t^3.043 + 2*t^3.129 + t^3.632 + t^3.718 + t^3.804 + t^4.307 + 2*t^4.393 + 3*t^4.479 + 3*t^4.564 + t^5.153 + 3*t^5.239 + 3*t^5.325 + 3*t^5.411 + t^5.828 + 2*t^5.914 + 2*t^6.086 + 2*t^6.172 + 3*t^6.258 + t^6.503 + 3*t^6.589 + 3*t^6.675 + 5*t^6.761 + 4*t^6.847 + t^6.933 + t^7.264 + 2*t^7.35 + 3*t^7.436 + 5*t^7.521 + 5*t^7.607 + 4*t^7.693 + t^7.939 + 2*t^8.024 + t^8.11 - t^8.282 + 3*t^8.368 + 4*t^8.454 + 4*t^8.54 + t^8.613 + 2*t^8.699 + 4*t^8.785 + 4*t^8.871 + t^8.957 - t^4.521/y - t^6.804/y + t^7.393/y + (2*t^7.479)/y + t^7.564/y - t^7.65/y + t^8.153/y + (4*t^8.239)/y + (4*t^8.325)/y + (4*t^8.411)/y + t^8.828/y + (3*t^8.914)/y - t^4.521*y - t^6.804*y + t^7.393*y + 2*t^7.479*y + t^7.564*y - t^7.65*y + t^8.153*y + 4*t^8.239*y + 4*t^8.325*y + 4*t^8.411*y + t^8.828*y + 3*t^8.914*y	g1^5*t^2.196 + (2*t^2.282)/g1^3 + g1^4*t^2.957 + t^3.043/g1^4 + (2*t^3.129)/g1^12 + g1^11*t^3.632 + g1^3*t^3.718 + t^3.804/g1^5 + g1^18*t^4.307 + 2*g1^10*t^4.393 + 3*g1^2*t^4.479 + (3*t^4.564)/g1^6 + g1^9*t^5.153 + 3*g1*t^5.239 + (3*t^5.325)/g1^7 + (3*t^5.411)/g1^15 + g1^16*t^5.828 + 2*g1^8*t^5.914 + (2*t^6.086)/g1^8 + (2*t^6.172)/g1^16 + (3*t^6.258)/g1^24 + g1^23*t^6.503 + 3*g1^15*t^6.589 + 3*g1^7*t^6.675 + (5*t^6.761)/g1 + (4*t^6.847)/g1^9 + t^6.933/g1^17 + g1^22*t^7.264 + 2*g1^14*t^7.35 + 3*g1^6*t^7.436 + (5*t^7.521)/g1^2 + (5*t^7.607)/g1^10 + (4*t^7.693)/g1^18 + g1^29*t^7.939 + 2*g1^21*t^8.024 + g1^13*t^8.11 - t^8.282/g1^3 + (3*t^8.368)/g1^11 + (4*t^8.454)/g1^19 + (4*t^8.54)/g1^27 + g1^36*t^8.613 + 2*g1^28*t^8.699 + 4*g1^20*t^8.785 + 4*g1^12*t^8.871 + g1^4*t^8.957 - t^4.521/(g1^2*y) - t^6.804/(g1^5*y) + (g1^10*t^7.393)/y + (2*g1^2*t^7.479)/y + t^7.564/(g1^6*y) - t^7.65/(g1^14*y) + (g1^9*t^8.153)/y + (4*g1*t^8.239)/y + (4*t^8.325)/(g1^7*y) + (4*t^8.411)/(g1^15*y) + (g1^16*t^8.828)/y + (3*g1^8*t^8.914)/y - (t^4.521*y)/g1^2 - (t^6.804*y)/g1^5 + g1^10*t^7.393*y + 2*g1^2*t^7.479*y + (t^7.564*y)/g1^6 - (t^7.65*y)/g1^14 + g1^9*t^8.153*y + 4*g1*t^8.239*y + (4*t^8.325*y)/g1^7 + (4*t^8.411*y)/g1^15 + g1^16*t^8.828*y + 3*g1^8*t^8.914*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
46651	${}M_{1}q_{1}q_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{2}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }q_{1}q_{2}\tilde{q}_{2}^{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{4}$	0.6055	0.7768	0.7796	[M:[0.9916, 0.7563, 1.0252, 1.0084], q:[0.7479, 0.2605], qb:[0.479, 0.4958], phi:[0.5042]]	t^2.218 + 2*t^2.269 + 2*t^3.025 + 2*t^3.076 + t^3.681 + t^3.731 + t^3.782 + t^4.386 + 2*t^4.437 + 3*t^4.487 + 3*t^4.538 + 2*t^5.244 + 5*t^5.294 + 3*t^5.345 + t^5.899 + t^5.95 - t^6. - t^4.513/y - t^4.513*y	detail
46455	${}M_{1}q_{1}q_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{2}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }q_{1}q_{2}\tilde{q}_{2}^{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$	0.6244	0.8107	0.7701	[M:[0.994, 0.7545, 1.0181, 0.7666], q:[0.7485, 0.2575], qb:[0.4849, 0.497], phi:[0.503]]	t^2.227 + 2*t^2.264 + t^2.3 + t^2.982 + t^3.018 + 2*t^3.054 + t^3.736 + t^3.773 + t^4.419 + 2*t^4.455 + 3*t^4.491 + 4*t^4.527 + 2*t^4.563 + t^4.6 + t^5.209 + 3*t^5.245 + 4*t^5.282 + 4*t^5.318 + 2*t^5.354 - t^4.509/y - t^4.509*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
45945	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{2}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }q_{1}q_{2}\tilde{q}_{2}^{2}$	0.6129	0.79	0.7758	[M:[0.9693, 0.773], q:[0.7423, 0.2884], qb:[0.4233, 0.4847], phi:[0.5153]]	t^2.135 + 2*t^2.319 + t^2.724 + t^2.908 + t^3.092 + t^3.276 + t^3.497 + t^3.681 + t^3.865 + t^4.086 + 2*t^4.27 + 3*t^4.454 + 3*t^4.638 + t^4.859 + 3*t^5.043 + 3*t^5.227 + 2*t^5.411 + t^5.448 + t^5.595 + 2*t^5.632 + 3*t^5.816 + t^6. - t^4.546/y - t^4.546*y	detail