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
462	SU2adj1nf2	${}\phi_{1}q_{1}q_{2}$ + ${ }M_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{1}M_{2}$ + ${ }\phi_{1}\tilde{q}_{1}^{3}\tilde{q}_{2}$ + ${ }M_{3}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{1}M_{4}$	0.5537	0.7053	0.7851	[M:[1.0224, 0.9776, 0.7239, 0.9776], q:[0.5522, 1.0224], qb:[0.4254, 0.2985], phi:[0.4254]]	[M:[[7], [-7], [3], [-7]], q:[[-6], [7]], qb:[[-1], [4]], phi:[[-1]]]	1

Relevant Operators	Marginal Operators	$n_{marginal}$$-$$|F_{IR}|$	Superconformal Index	Refined index
${}M_{3}$, ${ }\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }M_{2}$, ${ }M_{4}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{2}\tilde{q}_{2}$, ${ }M_{3}^{2}$, ${ }q_{2}\tilde{q}_{1}$, ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\tilde{q}_{1}^{2}\tilde{q}_{2}^{2}$, ${ }M_{3}\phi_{1}^{2}$, ${ }q_{1}q_{2}$, ${ }M_{3}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{1}\tilde{q}_{1}\tilde{q}_{2}^{2}$, ${ }M_{2}M_{3}$, ${ }M_{3}M_{4}$, ${ }\phi_{1}^{4}$, ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{4}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{1}^{2}\tilde{q}_{2}^{2}$, ${ }M_{2}\phi_{1}^{2}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{2}q_{1}\tilde{q}_{2}$, ${ }M_{4}q_{1}\tilde{q}_{2}$, ${ }M_{3}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}\tilde{q}_{2}^{2}$, ${ }M_{2}^{2}$, ${ }M_{2}M_{4}$, ${ }M_{4}^{2}$	${}\phi_{1}^{3}\tilde{q}_{1}\tilde{q}_{2}$	-2	2*t^2.172 + 2*t^2.552 + 2*t^2.933 + t^3.448 + t^3.963 + 4*t^4.343 + 5*t^4.724 + 6*t^5.104 + 3*t^5.485 + t^5.62 + 3*t^5.865 - 2*t^6. + 2*t^6.135 - t^6.38 + 6*t^6.515 - t^6.761 + 8*t^6.896 + 10*t^7.276 + 8*t^7.657 - t^7.791 + t^7.926 + 8*t^8.037 - 8*t^8.172 + 4*t^8.306 + 4*t^8.418 - 8*t^8.552 + 9*t^8.687 + 4*t^8.798 - 10*t^8.933 - t^4.276/y - t^6.448/y - t^6.828/y - t^7.209/y + (2*t^7.343)/y + (5*t^7.724)/y + (6*t^8.104)/y + (4*t^8.485)/y + t^8.62/y + t^8.865/y - t^4.276*y - t^6.448*y - t^6.828*y - t^7.209*y + 2*t^7.343*y + 5*t^7.724*y + 6*t^8.104*y + 4*t^8.485*y + t^8.62*y + t^8.865*y	2*g1^3*t^2.172 + (2*t^2.552)/g1^2 + (2*t^2.933)/g1^7 + g1^2*t^3.448 + g1^11*t^3.963 + 4*g1^6*t^4.343 + 5*g1*t^4.724 + (6*t^5.104)/g1^4 + (3*t^5.485)/g1^9 + g1^5*t^5.62 + (3*t^5.865)/g1^14 - 2*t^6. + 2*g1^14*t^6.135 - t^6.38/g1^5 + 6*g1^9*t^6.515 - t^6.761/g1^10 + 8*g1^4*t^6.896 + (10*t^7.276)/g1 + (8*t^7.657)/g1^6 - g1^8*t^7.791 + g1^22*t^7.926 + (8*t^8.037)/g1^11 - 8*g1^3*t^8.172 + 4*g1^17*t^8.306 + (4*t^8.418)/g1^16 - (8*t^8.552)/g1^2 + 9*g1^12*t^8.687 + (4*t^8.798)/g1^21 - (10*t^8.933)/g1^7 - t^4.276/(g1*y) - (g1^2*t^6.448)/y - t^6.828/(g1^3*y) - t^7.209/(g1^8*y) + (2*g1^6*t^7.343)/y + (5*g1*t^7.724)/y + (6*t^8.104)/(g1^4*y) + (4*t^8.485)/(g1^9*y) + (g1^5*t^8.62)/y + t^8.865/(g1^14*y) - (t^4.276*y)/g1 - g1^2*t^6.448*y - (t^6.828*y)/g1^3 - (t^7.209*y)/g1^8 + 2*g1^6*t^7.343*y + 5*g1*t^7.724*y + (6*t^8.104*y)/g1^4 + (4*t^8.485*y)/g1^9 + g1^5*t^8.62*y + (t^8.865*y)/g1^14

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
756	${}\phi_{1}q_{1}q_{2}$ + ${ }M_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{1}M_{2}$ + ${ }\phi_{1}\tilde{q}_{1}^{3}\tilde{q}_{2}$ + ${ }M_{3}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{1}M_{4}$ + ${ }M_{5}\phi_{1}^{2}$	0.5408	0.6833	0.7914	[M:[1.0118, 0.9882, 0.7193, 0.9882, 1.1462], q:[0.5613, 1.0118], qb:[0.4269, 0.2925], phi:[0.4269]]	2*t^2.158 + t^2.561 + 2*t^2.965 + 2*t^3.439 + t^3.913 + 4*t^4.316 + 3*t^4.719 + 4*t^5.123 + t^5.526 + 3*t^5.597 + 3*t^5.929 - 2*t^6. - t^4.281/y - t^4.281*y	detail
1851	${}\phi_{1}q_{1}q_{2}$ + ${ }M_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{1}M_{2}$ + ${ }\phi_{1}\tilde{q}_{1}^{3}\tilde{q}_{2}$ + ${ }M_{3}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{1}M_{4}$ + ${ }M_{5}q_{2}\tilde{q}_{2}$	0.5745	0.7465	0.7697	[M:[1.0256, 0.9744, 0.7253, 0.9744, 0.674], q:[0.5495, 1.0256], qb:[0.4249, 0.3004], phi:[0.4249]]	t^2.022 + 2*t^2.176 + 2*t^2.549 + 2*t^2.923 + t^3.451 + t^4.044 + 2*t^4.198 + 4*t^4.352 + 2*t^4.572 + 5*t^4.725 + 2*t^4.945 + 6*t^5.099 + 4*t^5.473 + t^5.626 + 3*t^5.846 - 2*t^6. - t^4.275/y - t^4.275*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
289	SU2adj1nf2	${}\phi_{1}q_{1}q_{2}$ + ${ }M_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{1}M_{2}$ + ${ }\phi_{1}\tilde{q}_{1}^{3}\tilde{q}_{2}$ + ${ }M_{3}\phi_{1}\tilde{q}_{1}^{2}$	0.5538	0.7072	0.783	[M:[0.9766, 1.0234, 0.7043], q:[0.5914, 0.9766], qb:[0.4319, 0.2724], phi:[0.4319]]	2*t^2.113 + 2*t^2.591 + t^2.93 + t^3.07 + t^3.409 + t^3.747 + 4*t^4.226 + 5*t^4.704 + 2*t^5.043 + 4*t^5.183 + 3*t^5.521 + t^5.661 + 3*t^5.86 - t^6. - t^4.296/y - t^4.296*y	detail