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
46281	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{2}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{3}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }\phi_{1}q_{2}^{3}\tilde{q}_{1}$	0.6257	0.8329	0.7513	[M:[0.9213, 0.6968, 0.7638], q:[0.7303, 0.3484], qb:[0.4154, 0.3484], phi:[0.5394]]	[M:[[-4], [10], [-12]], q:[[-1], [5]], qb:[[-17], [5]], phi:[[2]]]	1

Relevant Operators	Marginal Operators	$n_{marginal}$$-$$|F_{IR}|$	Superconformal Index	Refined index
${}M_{2}$, ${ }q_{2}\tilde{q}_{2}$, ${ }M_{3}$, ${ }q_{2}\tilde{q}_{1}$, ${ }\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{1}$, ${ }\phi_{1}^{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{2}^{2}$, ${ }M_{2}q_{2}\tilde{q}_{2}$, ${ }q_{2}^{2}\tilde{q}_{2}^{2}$, ${ }M_{2}M_{3}$, ${ }M_{2}q_{2}\tilde{q}_{1}$, ${ }M_{3}q_{2}\tilde{q}_{2}$, ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{2}\tilde{q}_{1}\tilde{q}_{2}^{2}$, ${ }M_{3}^{2}$, ${ }M_{3}q_{2}\tilde{q}_{1}$, ${ }q_{2}^{2}\tilde{q}_{1}^{2}$, ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{2}\tilde{q}_{1}^{2}\tilde{q}_{2}$, ${ }\tilde{q}_{1}^{2}\tilde{q}_{2}^{2}$, ${ }M_{1}M_{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{1}M_{3}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{2}\phi_{1}^{2}$, ${ }M_{2}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$, ${ }q_{1}q_{2}\tilde{q}_{2}^{2}$, ${ }M_{1}^{2}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{2}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$, ${ }M_{3}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{1}q_{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{1}\tilde{q}_{1}\tilde{q}_{2}^{2}$, ${ }M_{3}q_{1}\tilde{q}_{1}$, ${ }q_{1}q_{2}\tilde{q}_{1}^{2}$, ${ }q_{1}\tilde{q}_{1}^{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}^{3}\tilde{q}_{2}$, ${ }M_{2}\phi_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}^{3}$	${}M_{2}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{3}\phi_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}^{3}$	3	2*t^2.091 + 3*t^2.291 + t^2.764 + 2*t^3.236 + t^3.437 + 2*t^3.709 + t^3.909 + t^4.11 + 3*t^4.181 + 6*t^4.382 + 6*t^4.583 + 2*t^4.854 + 3*t^5.055 + 4*t^5.327 + 8*t^5.528 + 3*t^5.728 + 2*t^5.799 + 3*t^6. + 3*t^6.201 + 4*t^6.272 + 3*t^6.402 + 9*t^6.472 + 12*t^6.673 + 11*t^6.874 + 4*t^6.945 + 4*t^7.146 + 7*t^7.347 + 6*t^7.417 + t^7.547 + 9*t^7.618 + 15*t^7.819 + 2*t^7.89 + 7*t^8.02 - t^8.091 + t^8.221 + 2*t^8.291 + 5*t^8.362 + 6*t^8.492 + 10*t^8.563 + 6*t^8.693 + 13*t^8.764 + 20*t^8.965 - t^4.618/y - t^6.709/y - t^6.909/y + t^7.181/y + (6*t^7.382)/y + (3*t^7.583)/y + (2*t^7.854)/y + (3*t^8.055)/y + (5*t^8.327)/y + (9*t^8.528)/y + (3*t^8.728)/y + (3*t^8.799)/y - t^4.618*y - t^6.709*y - t^6.909*y + t^7.181*y + 6*t^7.382*y + 3*t^7.583*y + 2*t^7.854*y + 3*t^8.055*y + 5*t^8.327*y + 9*t^8.528*y + 3*t^8.728*y + 3*t^8.799*y	2*g1^10*t^2.091 + (3*t^2.291)/g1^12 + t^2.764/g1^4 + 2*g1^4*t^3.236 + t^3.437/g1^18 + 2*g1^12*t^3.709 + t^3.909/g1^10 + t^4.11/g1^32 + 3*g1^20*t^4.181 + (6*t^4.382)/g1^2 + (6*t^4.583)/g1^24 + 2*g1^6*t^4.854 + (3*t^5.055)/g1^16 + 4*g1^14*t^5.327 + (8*t^5.528)/g1^8 + (3*t^5.728)/g1^30 + 2*g1^22*t^5.799 + 3*t^6. + (3*t^6.201)/g1^22 + 4*g1^30*t^6.272 + (3*t^6.402)/g1^44 + 9*g1^8*t^6.472 + (12*t^6.673)/g1^14 + (11*t^6.874)/g1^36 + 4*g1^16*t^6.945 + (4*t^7.146)/g1^6 + (7*t^7.347)/g1^28 + 6*g1^24*t^7.417 + t^7.547/g1^50 + 9*g1^2*t^7.618 + (15*t^7.819)/g1^20 + 2*g1^32*t^7.89 + (7*t^8.02)/g1^42 - g1^10*t^8.091 + t^8.221/g1^64 + (2*t^8.291)/g1^12 + 5*g1^40*t^8.362 + (6*t^8.492)/g1^34 + 10*g1^18*t^8.563 + (6*t^8.693)/g1^56 + (13*t^8.764)/g1^4 + (20*t^8.965)/g1^26 - (g1^2*t^4.618)/y - (g1^12*t^6.709)/y - t^6.909/(g1^10*y) + (g1^20*t^7.181)/y + (6*t^7.382)/(g1^2*y) + (3*t^7.583)/(g1^24*y) + (2*g1^6*t^7.854)/y + (3*t^8.055)/(g1^16*y) + (5*g1^14*t^8.327)/y + (9*t^8.528)/(g1^8*y) + (3*t^8.728)/(g1^30*y) + (3*g1^22*t^8.799)/y - g1^2*t^4.618*y - g1^12*t^6.709*y - (t^6.909*y)/g1^10 + g1^20*t^7.181*y + (6*t^7.382*y)/g1^2 + (3*t^7.583*y)/g1^24 + 2*g1^6*t^7.854*y + (3*t^8.055*y)/g1^16 + 5*g1^14*t^8.327*y + (9*t^8.528*y)/g1^8 + (3*t^8.728*y)/g1^30 + 3*g1^22*t^8.799*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
46573	${}M_{1}q_{1}q_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{2}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{3}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }\phi_{1}q_{2}^{3}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}\tilde{q}_{2}^{2}$	0.6219	0.8322	0.7474	[M:[0.9091, 0.7273, 0.7273], q:[0.7273, 0.3636], qb:[0.3636, 0.3636], phi:[0.5455]]	5*t^2.182 + t^2.727 + 3*t^3.273 + 4*t^3.818 + 15*t^4.364 + 5*t^4.909 + 15*t^5.455 + 11*t^6. - t^4.636/y - t^4.636*y	detail	{a: 13245/21296, c: 8861/10648, M1: 10/11, M2: 8/11, M3: 8/11, q1: 8/11, q2: 4/11, qb1: 4/11, qb2: 4/11, phi1: 6/11}
46531	${}M_{1}q_{1}q_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{2}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{3}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }\phi_{1}q_{2}^{3}\tilde{q}_{1}$ + ${ }M_{4}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$	0.6463	0.8724	0.7409	[M:[0.922, 0.6949, 0.7661, 0.6949], q:[0.7305, 0.3475], qb:[0.4186, 0.3475], phi:[0.539]]	3*t^2.085 + 3*t^2.298 + t^2.766 + 2*t^3.234 + t^3.447 + 2*t^3.702 + t^4.129 + 6*t^4.17 + 9*t^4.383 + 6*t^4.596 + 3*t^4.851 + 3*t^5.064 + 6*t^5.319 + 9*t^5.532 + 3*t^5.746 + 4*t^5.787 + t^6. - t^4.617/y - t^4.617*y	detail
46717	${}M_{1}q_{1}q_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{2}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{3}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }\phi_{1}q_{2}^{3}\tilde{q}_{1}$ + ${ }M_{4}\phi_{1}\tilde{q}_{2}^{2}$	0.6444	0.8674	0.7428	[M:[0.9187, 0.7033, 0.756, 0.756], q:[0.7297, 0.3517], qb:[0.4044, 0.3517], phi:[0.5407]]	2*t^2.11 + 4*t^2.268 + t^2.756 + 2*t^3.244 + t^3.402 + t^3.732 + t^3.89 + t^4.048 + 3*t^4.22 + 8*t^4.378 + 10*t^4.536 + 2*t^4.866 + 4*t^5.024 + 4*t^5.354 + 10*t^5.512 + 4*t^5.67 + t^6. - t^4.622/y - t^4.622*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
45950	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{2}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{3}\phi_{1}q_{2}\tilde{q}_{2}$	0.6365	0.835	0.7622	[M:[0.9558, 0.739, 0.739], q:[0.739, 0.3052], qb:[0.4338, 0.4338], phi:[0.5221]]	4*t^2.217 + t^2.603 + t^2.868 + t^3.132 + t^3.397 + 2*t^3.518 + 3*t^4.169 + 10*t^4.434 + 4*t^4.819 + 4*t^5.084 + t^5.205 + 4*t^5.349 + t^5.47 + 2*t^5.614 + 9*t^5.735 - 4*t^6. - t^4.566/y - t^4.566*y	detail