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
46344	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{2}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{3}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{4}$ + ${ }q_{1}q_{2}\tilde{q}_{2}^{2}$	0.6304	0.823	0.766	[M:[0.9729, 0.7704, 0.7161, 1.0271], q:[0.7432, 0.2839], qb:[0.4322, 0.4864], phi:[0.5136]]	[M:[[4], [-3], [5], [-4]], q:[[1], [-5]], qb:[[10], [2]], phi:[[-2]]]	1

Relevant Operators	Marginal Operators	$n_{marginal}$$-$$|F_{IR}|$	Superconformal Index	Refined index
${}M_{3}$, ${ }q_{2}\tilde{q}_{1}$, ${ }M_{2}$, ${ }q_{2}\tilde{q}_{2}$, ${ }\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{4}$, ${ }\phi_{1}^{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }q_{1}\tilde{q}_{1}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{3}^{2}$, ${ }M_{3}q_{2}\tilde{q}_{1}$, ${ }q_{2}^{2}\tilde{q}_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{2}M_{3}$, ${ }M_{2}q_{2}\tilde{q}_{1}$, ${ }M_{3}q_{2}\tilde{q}_{2}$, ${ }q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{2}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }M_{2}q_{2}\tilde{q}_{2}$, ${ }q_{2}^{2}\tilde{q}_{2}^{2}$, ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{2}\tilde{q}_{1}^{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{2}\tilde{q}_{1}\tilde{q}_{2}^{2}$, ${ }M_{3}M_{4}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{4}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{2}M_{4}$, ${ }M_{2}\phi_{1}^{2}$, ${ }\phi_{1}q_{2}^{3}\tilde{q}_{1}$, ${ }M_{4}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$, ${ }\tilde{q}_{1}^{2}\tilde{q}_{2}^{2}$, ${ }\phi_{1}q_{2}^{3}\tilde{q}_{2}$, ${ }M_{3}q_{1}\tilde{q}_{1}$, ${ }q_{1}q_{2}\tilde{q}_{1}^{2}$, ${ }M_{2}q_{1}\tilde{q}_{1}$, ${ }M_{3}q_{1}\tilde{q}_{2}$, ${ }M_{4}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{1}q_{2}\tilde{q}_{1}\tilde{q}_{2}$	${}M_{2}q_{1}\tilde{q}_{2}$	-1	2*t^2.148 + 2*t^2.311 + t^2.756 + 2*t^3.081 + t^3.244 + t^3.526 + t^3.689 + t^4.134 + 4*t^4.296 + 5*t^4.459 + 3*t^4.622 + 2*t^4.904 + 2*t^5.067 + 4*t^5.23 + 5*t^5.392 + t^5.512 + t^5.555 + 2*t^5.674 + 4*t^5.837 - t^6. + 3*t^6.282 + 2*t^6.326 + 7*t^6.445 + t^6.488 + 8*t^6.608 + 7*t^6.77 + t^6.889 + 2*t^6.933 + 4*t^7.052 - t^7.096 + 6*t^7.215 + 7*t^7.378 + 7*t^7.541 + 3*t^7.66 + 5*t^7.704 + 6*t^7.823 + t^7.866 + 5*t^7.985 - 2*t^8.148 + 2*t^8.267 - 4*t^8.311 + 6*t^8.43 + 2*t^8.474 + 13*t^8.593 + 3*t^8.637 + 10*t^8.756 + t^8.8 + 8*t^8.919 - t^4.541/y - t^6.689/y - t^6.852/y + t^7.296/y + (5*t^7.459)/y + (2*t^7.904)/y + (2*t^8.067)/y + (5*t^8.23)/y + (7*t^8.392)/y + (2*t^8.555)/y + (2*t^8.674)/y + (5*t^8.837)/y - t^4.541*y - t^6.689*y - t^6.852*y + t^7.296*y + 5*t^7.459*y + 2*t^7.904*y + 2*t^8.067*y + 5*t^8.23*y + 7*t^8.392*y + 2*t^8.555*y + 2*t^8.674*y + 5*t^8.837*y	2*g1^5*t^2.148 + (2*t^2.311)/g1^3 + g1^12*t^2.756 + (2*t^3.081)/g1^4 + t^3.244/g1^12 + g1^11*t^3.526 + g1^3*t^3.689 + g1^18*t^4.134 + 4*g1^10*t^4.296 + 5*g1^2*t^4.459 + (3*t^4.622)/g1^6 + 2*g1^17*t^4.904 + 2*g1^9*t^5.067 + 4*g1*t^5.23 + (5*t^5.392)/g1^7 + g1^24*t^5.512 + t^5.555/g1^15 + 2*g1^16*t^5.674 + 4*g1^8*t^5.837 - t^6. + 3*g1^23*t^6.282 + (2*t^6.326)/g1^16 + 7*g1^15*t^6.445 + t^6.488/g1^24 + 8*g1^7*t^6.608 + (7*t^6.77)/g1 + g1^30*t^6.889 + (2*t^6.933)/g1^9 + 4*g1^22*t^7.052 - t^7.096/g1^17 + 6*g1^14*t^7.215 + 7*g1^6*t^7.378 + (7*t^7.541)/g1^2 + 3*g1^29*t^7.66 + (5*t^7.704)/g1^10 + 6*g1^21*t^7.823 + t^7.866/g1^18 + 5*g1^13*t^7.985 - 2*g1^5*t^8.148 + 2*g1^36*t^8.267 - (4*t^8.311)/g1^3 + 6*g1^28*t^8.43 + (2*t^8.474)/g1^11 + 13*g1^20*t^8.593 + (3*t^8.637)/g1^19 + 10*g1^12*t^8.756 + t^8.8/g1^27 + 8*g1^4*t^8.919 - t^4.541/(g1^2*y) - (g1^3*t^6.689)/y - t^6.852/(g1^5*y) + (g1^10*t^7.296)/y + (5*g1^2*t^7.459)/y + (2*g1^17*t^7.904)/y + (2*g1^9*t^8.067)/y + (5*g1*t^8.23)/y + (7*t^8.392)/(g1^7*y) + (2*t^8.555)/(g1^15*y) + (2*g1^16*t^8.674)/y + (5*g1^8*t^8.837)/y - (t^4.541*y)/g1^2 - g1^3*t^6.689*y - (t^6.852*y)/g1^5 + g1^10*t^7.296*y + 5*g1^2*t^7.459*y + 2*g1^17*t^7.904*y + 2*g1^9*t^8.067*y + 5*g1*t^8.23*y + (7*t^8.392*y)/g1^7 + (2*t^8.555*y)/g1^15 + 2*g1^16*t^8.674*y + 5*g1^8*t^8.837*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
47168	${}M_{1}q_{1}q_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{2}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{3}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{4}$ + ${ }q_{1}q_{2}\tilde{q}_{2}^{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$	0.5697	0.7462	0.7635	[M:[1.0588, 0.7059, 0.8235, 0.9412], q:[0.7647, 0.1765], qb:[0.6471, 0.5294], phi:[0.4706]]	2*t^2.118 + 3*t^2.471 + 2*t^2.824 + t^3.529 + t^3.882 + 4*t^4.235 + 6*t^4.588 + 10*t^4.941 + 7*t^5.294 + 2*t^5.647 - t^4.412/y - t^4.412*y	detail	{a: 2799/4913, c: 3666/4913, M1: 18/17, M2: 12/17, M3: 14/17, M4: 16/17, q1: 13/17, q2: 3/17, qb1: 11/17, qb2: 9/17, phi1: 8/17}
47104	${}M_{1}q_{1}q_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{2}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{3}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{4}$ + ${ }q_{1}q_{2}\tilde{q}_{2}^{2}$ + ${ }M_{5}\tilde{q}_{1}\tilde{q}_{2}$	0.6251	0.8126	0.7692	[M:[0.9888, 0.7584, 0.736, 1.0112, 1.0335], q:[0.7472, 0.264], qb:[0.4721, 0.4944], phi:[0.5056]]	2*t^2.208 + 2*t^2.275 + 2*t^3.034 + 2*t^3.101 + t^3.658 + t^3.725 + t^4.349 + 4*t^4.416 + 5*t^4.483 + 3*t^4.55 + 4*t^5.242 + 7*t^5.309 + 3*t^5.376 + 2*t^5.866 + 2*t^5.933 - 2*t^6. - t^4.517/y - t^4.517*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
46329	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{2}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{3}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{4}$	0.6327	0.8272	0.7649	[M:[0.963, 0.7407, 0.7407, 1.037], q:[0.7407, 0.2963], qb:[0.4444, 0.4444], phi:[0.5185]]	4*t^2.222 + t^2.667 + 2*t^3.111 + t^3.333 + 2*t^3.556 + 3*t^4.222 + 10*t^4.444 + 4*t^4.889 + 9*t^5.333 + 2*t^5.556 + 9*t^5.778 - 5*t^6. - t^4.556/y - t^4.556*y	detail	{a: 205/324, c: 67/81, M1: 26/27, M2: 20/27, M3: 20/27, M4: 28/27, q1: 20/27, q2: 8/27, qb1: 4/9, qb2: 4/9, phi1: 14/27}