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
355	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{3}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{3}\phi_{1}q_{2}\tilde{q}_{2}$	0.608	0.7809	0.7786	[M:[0.9776, 1.0673, 0.7444], q:[0.7444, 0.2781], qb:[0.4663, 0.4663], phi:[0.5112]]	[M:[[4], [-12], [1]], q:[[1], [-5]], qb:[[6], [6]], phi:[[-2]]]	1

Relevant Operators	Marginal Operators	$n_{marginal}$$-$$|F_{IR}|$	Superconformal Index	Refined index
${}M_{3}$, ${ }q_{2}\tilde{q}_{1}$, ${ }q_{2}\tilde{q}_{2}$, ${ }M_{1}$, ${ }\phi_{1}^{2}$, ${ }M_{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }q_{1}\tilde{q}_{1}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{3}^{2}$, ${ }M_{3}q_{2}\tilde{q}_{1}$, ${ }q_{2}^{2}\tilde{q}_{1}^{2}$, ${ }M_{3}q_{2}\tilde{q}_{2}$, ${ }q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{2}^{2}\tilde{q}_{2}^{2}$, ${ }M_{1}M_{3}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{3}\phi_{1}^{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$, ${ }M_{2}M_{3}$, ${ }M_{3}\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{2}^{3}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}^{3}\tilde{q}_{2}$, ${ }M_{1}^{2}$, ${ }M_{3}q_{1}\tilde{q}_{1}$, ${ }q_{1}q_{2}\tilde{q}_{1}^{2}$, ${ }M_{3}q_{1}\tilde{q}_{2}$, ${ }q_{1}q_{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{1}q_{2}\tilde{q}_{2}^{2}$	${}\phi_{1}q_{2}^{2}\tilde{q}_{2}^{2}$	-2	3*t^2.233 + t^2.933 + t^3.067 + 2*t^3.202 + 2*t^3.632 + t^3.767 + 3*t^4.332 + 6*t^4.466 + 3*t^5.166 + 3*t^5.3 + 4*t^5.435 + 6*t^5.865 - 2*t^6. + t^6.135 + 2*t^6.269 + 3*t^6.404 + 7*t^6.565 + 9*t^6.7 + t^6.834 + 3*t^7.264 + 6*t^7.399 + 5*t^7.534 + 6*t^7.668 + 4*t^7.964 + 9*t^8.099 - 9*t^8.233 + t^8.368 + 4*t^8.502 + 5*t^8.637 + 5*t^8.663 + 12*t^8.798 + 7*t^8.933 - t^4.534/y - t^6.767/y + t^7.332/y + (3*t^7.466)/y - t^7.736/y + (3*t^8.166)/y + (4*t^8.3)/y + (6*t^8.435)/y + (6*t^8.865)/y - t^4.534*y - t^6.767*y + t^7.332*y + 3*t^7.466*y - t^7.736*y + 3*t^8.166*y + 4*t^8.3*y + 6*t^8.435*y + 6*t^8.865*y	3*g1*t^2.233 + g1^4*t^2.933 + t^3.067/g1^4 + (2*t^3.202)/g1^12 + 2*g1^7*t^3.632 + t^3.767/g1 + 3*g1^10*t^4.332 + 6*g1^2*t^4.466 + 3*g1^5*t^5.166 + (3*t^5.3)/g1^3 + (4*t^5.435)/g1^11 + 6*g1^8*t^5.865 - 2*t^6. + t^6.135/g1^8 + (2*t^6.269)/g1^16 + (3*t^6.404)/g1^24 + 7*g1^11*t^6.565 + 9*g1^3*t^6.7 + t^6.834/g1^5 + 3*g1^14*t^7.264 + 6*g1^6*t^7.399 + (5*t^7.534)/g1^2 + (6*t^7.668)/g1^10 + 4*g1^17*t^7.964 + 9*g1^9*t^8.099 - 9*g1*t^8.233 + t^8.368/g1^7 + (4*t^8.502)/g1^15 + (5*t^8.637)/g1^23 + 5*g1^20*t^8.663 + 12*g1^12*t^8.798 + 7*g1^4*t^8.933 - t^4.534/(g1^2*y) - t^6.767/(g1*y) + (g1^10*t^7.332)/y + (3*g1^2*t^7.466)/y - t^7.736/(g1^14*y) + (3*g1^5*t^8.166)/y + (4*t^8.3)/(g1^3*y) + (6*t^8.435)/(g1^11*y) + (6*g1^8*t^8.865)/y - (t^4.534*y)/g1^2 - (t^6.767*y)/g1 + g1^10*t^7.332*y + 3*g1^2*t^7.466*y - (t^7.736*y)/g1^14 + 3*g1^5*t^8.166*y + (4*t^8.3*y)/g1^3 + (6*t^8.435*y)/g1^11 + 6*g1^8*t^8.865*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
562	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{3}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{3}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{2}M_{3}$	0.5822	0.7584	0.7677	[M:[0.9091, 1.2727, 0.7273], q:[0.7273, 0.3636], qb:[0.3636, 0.3636], phi:[0.5455]]	3*t^2.182 + t^2.727 + 3*t^3.273 + 6*t^3.818 + 6*t^4.364 + 3*t^4.909 + 9*t^5.455 + 9*t^6. - t^4.636/y - t^4.636*y	detail	{a: 12399/21296, c: 8075/10648, M1: 10/11, M2: 14/11, M3: 8/11, q1: 8/11, q2: 4/11, qb1: 4/11, qb2: 4/11, phi1: 6/11}
564	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{3}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{3}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{2}$	0.6272	0.8162	0.7685	[M:[0.9767, 1.0698, 0.7442, 0.7442], q:[0.7442, 0.2791], qb:[0.4651, 0.4651], phi:[0.5116]]	4*t^2.233 + t^2.93 + t^3.07 + 2*t^3.209 + 2*t^3.628 + 3*t^4.325 + 10*t^4.465 + 4*t^5.163 + 4*t^5.302 + 6*t^5.442 + 8*t^5.86 - 5*t^6. - t^4.535/y - t^4.535*y	detail
1782	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{3}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{3}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$	0.6255	0.812	0.7702	[M:[0.9852, 1.0444, 0.7463, 0.7759], q:[0.7463, 0.2685], qb:[0.4778, 0.4778], phi:[0.5074]]	3*t^2.239 + t^2.328 + t^2.956 + t^3.044 + 2*t^3.133 + t^3.672 + t^3.761 + 3*t^4.389 + 6*t^4.478 + 3*t^4.567 + t^4.655 + 3*t^5.195 + 4*t^5.283 + 5*t^5.372 + 2*t^5.461 + 3*t^5.911 - t^6. - t^4.522/y - t^4.522*y	detail
563	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{3}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{3}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{1}$	0.5887	0.7456	0.7895	[M:[0.9784, 1.0648, 0.7446, 1.2554], q:[0.7446, 0.277], qb:[0.4676, 0.4676], phi:[0.5108]]	2*t^2.234 + t^2.935 + t^3.065 + 2*t^3.195 + 2*t^3.637 + 2*t^3.766 + 3*t^4.338 + 3*t^4.468 + 2*t^5.169 + 2*t^5.299 + 2*t^5.428 + 4*t^5.87 - t^6. - t^4.532/y - t^4.532*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
223	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{3}\phi_{1}q_{2}\tilde{q}_{1}$	0.6081	0.7817	0.778	[M:[0.9777, 1.0669, 0.7349], q:[0.7444, 0.2779], qb:[0.4761, 0.457], phi:[0.5112]]	2*t^2.205 + t^2.262 + t^2.933 + t^3.067 + 2*t^3.201 + t^3.604 + t^3.662 + t^3.738 + t^4.275 + t^4.333 + t^4.39 + 3*t^4.409 + 2*t^4.467 + t^4.524 + 2*t^5.138 + t^5.195 + 2*t^5.272 + t^5.329 + 3*t^5.405 + t^5.463 + 2*t^5.809 + 3*t^5.866 + t^5.923 + t^5.943 - 2*t^6. - t^4.533/y - t^4.533*y	detail