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
1908	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{3}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{3}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{1}\tilde{q}_{1}$	0.6447	0.8471	0.7611	[M:[0.9845, 1.0466, 0.7461, 0.7461, 0.7772], q:[0.7461, 0.2694], qb:[0.4767, 0.4767], phi:[0.5078]]	[M:[[4], [-12], [1], [1], [-7]], q:[[1], [-5]], qb:[[6], [6]], phi:[[-2]]]	1

Relevant Operators	Marginal Operators	$n_{marginal}$$-$$|F_{IR}|$	Superconformal Index	Refined index
${}M_{3}$, ${ }M_{4}$, ${ }q_{2}\tilde{q}_{1}$, ${ }q_{2}\tilde{q}_{2}$, ${ }M_{5}$, ${ }M_{1}$, ${ }\phi_{1}^{2}$, ${ }M_{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{3}^{2}$, ${ }M_{3}M_{4}$, ${ }M_{4}^{2}$, ${ }M_{3}q_{2}\tilde{q}_{1}$, ${ }M_{4}q_{2}\tilde{q}_{1}$, ${ }q_{2}^{2}\tilde{q}_{1}^{2}$, ${ }M_{3}q_{2}\tilde{q}_{2}$, ${ }M_{4}q_{2}\tilde{q}_{2}$, ${ }q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{2}^{2}\tilde{q}_{2}^{2}$, ${ }M_{3}M_{5}$, ${ }M_{4}M_{5}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }M_{5}q_{2}\tilde{q}_{1}$, ${ }M_{5}q_{2}\tilde{q}_{2}$, ${ }M_{5}^{2}$, ${ }M_{1}M_{3}$, ${ }M_{1}M_{4}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{1}M_{5}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{4}\phi_{1}^{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$, ${ }M_{2}M_{3}$, ${ }M_{2}M_{4}$, ${ }M_{5}\phi_{1}^{2}$, ${ }M_{3}\phi_{1}q_{2}^{2}$, ${ }M_{4}\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{2}^{3}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}^{3}\tilde{q}_{2}$, ${ }M_{2}M_{5}$, ${ }M_{5}\phi_{1}q_{2}^{2}$, ${ }M_{1}^{2}$, ${ }M_{3}q_{1}\tilde{q}_{2}$, ${ }M_{4}q_{1}\tilde{q}_{2}$, ${ }q_{1}q_{2}\tilde{q}_{2}^{2}$	${}M_{5}q_{1}\tilde{q}_{2}$	-4	4*t^2.238 + t^2.332 + t^2.953 + t^3.047 + 2*t^3.14 + t^3.668 + 3*t^4.383 + 10*t^4.477 + 4*t^4.57 + t^4.663 + 4*t^5.192 + 5*t^5.285 + 7*t^5.378 + 2*t^5.471 + 4*t^5.907 - 4*t^6. + t^6.093 + 2*t^6.187 + 3*t^6.28 + 9*t^6.622 + 20*t^6.715 + 8*t^6.808 + 2*t^6.902 + t^6.995 + t^7.337 + 8*t^7.43 + 12*t^7.523 + 17*t^7.617 + 7*t^7.71 + 2*t^7.803 + t^8.052 + 4*t^8.145 - 16*t^8.238 - 2*t^8.332 + 7*t^8.425 + 10*t^8.518 + 3*t^8.611 + 5*t^8.767 + 18*t^8.86 + 27*t^8.953 - t^4.523/y - (2*t^6.762)/y - t^6.855/y + t^7.383/y + (6*t^7.477)/y + (4*t^7.57)/y - t^7.663/y + (5*t^8.192)/y + (7*t^8.285)/y + (9*t^8.378)/y + (2*t^8.471)/y + (4*t^8.907)/y - t^4.523*y - 2*t^6.762*y - t^6.855*y + t^7.383*y + 6*t^7.477*y + 4*t^7.57*y - t^7.663*y + 5*t^8.192*y + 7*t^8.285*y + 9*t^8.378*y + 2*t^8.471*y + 4*t^8.907*y	4*g1*t^2.238 + t^2.332/g1^7 + g1^4*t^2.953 + t^3.047/g1^4 + (2*t^3.14)/g1^12 + g1^7*t^3.668 + 3*g1^10*t^4.383 + 10*g1^2*t^4.477 + (4*t^4.57)/g1^6 + t^4.663/g1^14 + 4*g1^5*t^5.192 + (5*t^5.285)/g1^3 + (7*t^5.378)/g1^11 + (2*t^5.471)/g1^19 + 4*g1^8*t^5.907 - 4*t^6. + t^6.093/g1^8 + (2*t^6.187)/g1^16 + (3*t^6.28)/g1^24 + 9*g1^11*t^6.622 + 20*g1^3*t^6.715 + (8*t^6.808)/g1^5 + (2*t^6.902)/g1^13 + t^6.995/g1^21 + g1^14*t^7.337 + 8*g1^6*t^7.43 + (12*t^7.523)/g1^2 + (17*t^7.617)/g1^10 + (7*t^7.71)/g1^18 + (2*t^7.803)/g1^26 + g1^17*t^8.052 + 4*g1^9*t^8.145 - 16*g1*t^8.238 - (2*t^8.332)/g1^7 + (7*t^8.425)/g1^15 + (10*t^8.518)/g1^23 + (3*t^8.611)/g1^31 + 5*g1^20*t^8.767 + 18*g1^12*t^8.86 + 27*g1^4*t^8.953 - t^4.523/(g1^2*y) - (2*t^6.762)/(g1*y) - t^6.855/(g1^9*y) + (g1^10*t^7.383)/y + (6*g1^2*t^7.477)/y + (4*t^7.57)/(g1^6*y) - t^7.663/(g1^14*y) + (5*g1^5*t^8.192)/y + (7*t^8.285)/(g1^3*y) + (9*t^8.378)/(g1^11*y) + (2*t^8.471)/(g1^19*y) + (4*g1^8*t^8.907)/y - (t^4.523*y)/g1^2 - (2*t^6.762*y)/g1 - (t^6.855*y)/g1^9 + g1^10*t^7.383*y + 6*g1^2*t^7.477*y + (4*t^7.57*y)/g1^6 - (t^7.663*y)/g1^14 + 5*g1^5*t^8.192*y + (7*t^8.285*y)/g1^3 + (9*t^8.378*y)/g1^11 + (2*t^8.471*y)/g1^19 + 4*g1^8*t^8.907*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
2939	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{3}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{3}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{1}\tilde{q}_{1}$ + ${ }M_{2}M_{5}$	0.636	0.8367	0.7602	[M:[0.9474, 1.1579, 0.7368, 0.7368, 0.8421], q:[0.7368, 0.3158], qb:[0.4211, 0.4211], phi:[0.5263]]	4*t^2.211 + t^2.526 + t^2.842 + t^3.158 + 3*t^3.474 + 3*t^4.105 + 10*t^4.421 + 4*t^4.737 + 5*t^5.053 + 5*t^5.368 + 11*t^5.684 - 2*t^6. - t^4.579/y - t^4.579*y	detail	{a: 69801/109744, c: 45911/54872, M1: 18/19, M2: 22/19, M3: 14/19, M4: 14/19, M5: 16/19, q1: 14/19, q2: 6/19, qb1: 8/19, qb2: 8/19, phi1: 10/19}
2940	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{3}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{3}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{1}\tilde{q}_{1}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$	0.6627	0.88	0.7531	[M:[0.9908, 1.0276, 0.7477, 0.7477, 0.7661, 0.7661], q:[0.7477, 0.2615], qb:[0.4862, 0.4862], phi:[0.5046]]	4*t^2.243 + 2*t^2.298 + t^2.972 + t^3.028 + 2*t^3.083 + 3*t^4.431 + 10*t^4.486 + 8*t^4.541 + 3*t^4.597 + 4*t^5.216 + 6*t^5.271 + 8*t^5.326 + 4*t^5.381 - 5*t^6. - t^4.514/y - t^4.514*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
564	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{3}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{3}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{2}$	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