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
57315	SU3adj1nf2	${}M_{1}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$	1.463	1.6484	0.8875	[X:[1.379], M:[0.9315, 0.9315, 0.8956], q:[0.5163, 0.5522], qb:[0.5522, 0.5163], phi:[0.3105]]	[X:[[0, 0, 0, 2]], M:[[1, 0, 1, -6], [-1, 0, -1, 0], [-1, -1, 0, 0]], q:[[-1, -1, -1, 6], [1, 0, 0, 0]], qb:[[0, 1, 0, 0], [0, 0, 1, 0]], phi:[[0, 0, 0, -1]]]	4

Relevant Operators	Marginal Operators	$n_{marginal}$$-$$|F_{IR}|$	Superconformal Index	Refined index
${}M_{3}$, ${ }M_{2}$, ${ }M_{1}$, ${ }\phi_{1}^{3}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }X_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$, ${ }M_{3}^{2}$, ${ }M_{2}M_{3}$, ${ }M_{1}M_{3}$, ${ }M_{3}\phi_{1}^{3}$, ${ }M_{2}^{2}$, ${ }M_{1}^{2}$, ${ }M_{1}\phi_{1}^{3}$, ${ }M_{1}M_{2}$, ${ }\phi_{1}^{6}$, ${ }M_{2}\phi_{1}^{3}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}q_{1}^{2}q_{2}$, ${ }M_{3}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}q_{2}^{2}$, ${ }\phi_{1}^{3}q_{1}\tilde{q}_{2}$	${}$	-4	t^2.687 + 3*t^2.794 + t^3.098 + t^4.029 + 3*t^4.137 + t^4.245 + t^4.961 + 2*t^5.069 + t^5.176 + t^5.374 + 3*t^5.481 + 6*t^5.589 + 2*t^5.686 + t^5.785 + 2*t^5.794 + t^5.892 - 4*t^6. - 2*t^6.108 + t^6.196 + 2*t^6.618 + t^6.716 + 2*t^6.725 + 4*t^6.824 + 7*t^6.931 + t^7.039 + t^7.127 + 3*t^7.235 + t^7.343 + 2*t^7.441 + t^7.648 + 3*t^7.755 + 2*t^7.764 + 5*t^7.863 + t^7.971 + 2*t^8.059 + t^8.061 + 4*t^8.166 + 3*t^8.168 + 5*t^8.274 + 6*t^8.276 + 2*t^8.382 + 10*t^8.383 + t^8.472 + 2*t^8.48 + t^8.489 + t^8.579 - 3*t^8.687 - 2*t^8.696 + 2*t^8.784 - 11*t^8.794 + t^8.883 + 2*t^8.892 - 5*t^8.902 + 2*t^8.99 + t^8.794/y^2 - t^3.931/y - t^4.863/y - t^6.618/y - (3*t^6.726)/y - t^7.029/y - t^7.55/y - (3*t^7.657)/y - t^7.961/y + (3*t^8.481)/y + (3*t^8.589)/y + t^8.785/y + (2*t^8.892)/y - t^3.931*y - t^4.863*y - t^6.618*y - 3*t^6.726*y - t^7.029*y - t^7.55*y - 3*t^7.657*y - t^7.961*y + 3*t^8.481*y + 3*t^8.589*y + t^8.785*y + 2*t^8.892*y + t^8.794*y^2	t^2.687/(g1*g2) + t^2.794/(g1*g3) + (g1*g3*t^2.794)/g4^6 + t^2.794/g4^3 + (g4^6*t^3.098)/(g1*g2) + (g4^5*t^4.029)/(g1*g2) + (g1*g3*t^4.137)/g4 + g4^2*t^4.137 + (g4^5*t^4.137)/(g1*g3) + (g1*g2*t^4.245)/g4 + (g4^4*t^4.961)/(g1*g2) + (g1*g3*t^5.069)/g4^2 + (g4^4*t^5.069)/(g1*g3) + (g1*g2*t^5.176)/g4^2 + t^5.374/(g1^2*g2^2) + t^5.481/(g1^2*g2*g3) + (g3*t^5.481)/(g2*g4^6) + t^5.481/(g1*g2*g4^3) + t^5.589/(g1^2*g3^2) + (g1^2*g3^2*t^5.589)/g4^12 + (g1*g3*t^5.589)/g4^9 + (2*t^5.589)/g4^6 + t^5.589/(g1*g3*g4^3) + (g2*g3^2*t^5.686)/g4 + (g4^11*t^5.686)/(g1*g2^2*g3^2) + (g4^6*t^5.785)/(g1^2*g2^2) + (g2^2*g3*t^5.794)/g4 + (g1*g4^5*t^5.794)/(g2*g3) + (g4^3*t^5.892)/(g1*g2) - 4*t^6. - (g2*t^6.108)/g3 - (g1^2*g2*g3*t^6.108)/g4^6 + (g4^12*t^6.196)/(g1^2*g2^2) + (g2*g3^2*t^6.618)/g4^2 + (g4^10*t^6.618)/(g1*g2^2*g3^2) + (g4^5*t^6.716)/(g1^2*g2^2) + (g2^2*g3*t^6.725)/g4^2 + (g1*g4^4*t^6.725)/(g2*g3) + (g3*t^6.824)/(g2*g4) + (2*g4^2*t^6.824)/(g1*g2) + (g4^5*t^6.824)/(g1^2*g2*g3) + (g1^2*g3^2*t^6.931)/g4^7 + (2*g1*g3*t^6.931)/g4^4 + t^6.931/g4 + (2*g4^2*t^6.931)/(g1*g3) + (g4^5*t^6.931)/(g1^2*g3^2) + (g1*g2*t^7.039)/g4^4 + (g4^11*t^7.127)/(g1^2*g2^2) + (g3*g4^5*t^7.235)/g2 + (g4^8*t^7.235)/(g1*g2) + (g4^11*t^7.235)/(g1^2*g2*g3) + g4^5*t^7.343 + (g3^3*t^7.441)/g4^3 + (g4^15*t^7.441)/(g1^3*g2^3*g3^3) - (g2*g3*t^7.549)/g1 + (g2*g3^2*t^7.549)/g4^3 - (g4^6*t^7.549)/(g2^2*g3) + (g4^9*t^7.549)/(g1*g2^2*g3^2) + (g4^4*t^7.648)/(g1^2*g2^2) - (g1*g2^2*g3^2*t^7.657)/g4^6 + (g2^2*g3*t^7.657)/g4^3 + (g1*g4^3*t^7.657)/(g2*g3) - (g4^6*t^7.657)/(g2*g3^2) + (g3*t^7.755)/(g2*g4^2) + (g4*t^7.755)/(g1*g2) + (g4^4*t^7.755)/(g1^2*g2*g3) + (g1^3*t^7.764)/g4^3 + (g2^3*t^7.764)/g4^3 + (g1^2*g3^2*t^7.863)/g4^8 + (g1*g3*t^7.863)/g4^5 + t^7.863/g4^2 + (g4*t^7.863)/(g1*g3) + (g4^4*t^7.863)/(g1^2*g3^2) + (g1*g2*t^7.971)/g4^5 + (2*g4^10*t^8.059)/(g1^2*g2^2) + t^8.061/(g1^3*g2^3) + (2*g3*g4^4*t^8.166)/g2 + (2*g4^10*t^8.166)/(g1^2*g2*g3) + t^8.168/(g1^3*g2^2*g3) + (g3*t^8.168)/(g1*g2^2*g4^6) + t^8.168/(g1^2*g2^2*g4^3) + (g1^2*g3^2*t^8.274)/g4^2 + 3*g4^4*t^8.274 + (g4^10*t^8.274)/(g1^2*g3^2) + t^8.276/(g1^3*g2*g3^2) + (g1*g3^2*t^8.276)/(g2*g4^12) + (g3*t^8.276)/(g2*g4^9) + (2*t^8.276)/(g1*g2*g4^6) + t^8.276/(g1^2*g2*g3*g4^3) + (g1^2*g2*g3*t^8.382)/g4^2 + (g2*g4^4*t^8.382)/g3 + t^8.383/(g1^3*g3^3) + (g1^3*g3^3*t^8.383)/g4^18 + (g1^2*g3^2*t^8.383)/g4^15 + (2*g1*g3*t^8.383)/g4^12 + (2*t^8.383)/g4^9 + (2*t^8.383)/(g1*g3*g4^6) + t^8.383/(g1^2*g3^2*g4^3) + (g4^6*t^8.472)/(g1^3*g2^3) + (g2*g3^2*t^8.48)/g4^4 + (g4^8*t^8.48)/(g1*g2^2*g3^2) + (g1^2*g2^2*t^8.489)/g4^2 + (g4^3*t^8.579)/(g1^2*g2^2) - (g1*g2^2*g3^2*t^8.588)/g4^7 + (g2^2*g3*t^8.588)/g4^4 + (g1*g4^2*t^8.588)/(g2*g3) - (g4^5*t^8.588)/(g2*g3^2) - (3*t^8.687)/(g1*g2) - (g1*g2^3*g3*t^8.696)/g4^7 - (g1^2*t^8.696)/(g3*g4) + (g3^2*g4^5*t^8.784)/g1 + (g4^17*t^8.784)/(g1^2*g2^3*g3^2) - (4*t^8.794)/(g1*g3) - (4*g1*g3*t^8.794)/g4^6 - (3*t^8.794)/g4^3 + (g4^12*t^8.883)/(g1^3*g2^3) + (g2*g3*g4^5*t^8.892)/g1 + (g4^11*t^8.892)/(g2^2*g3) - (g2*t^8.902)/(g1*g3^2) - (g1^3*g2*g3^2*t^8.902)/g4^12 - (g1^2*g2*g3*t^8.902)/g4^9 - (g1*g2*t^8.902)/g4^6 - (g2*t^8.902)/(g3*g4^3) + (2*g4^9*t^8.99)/(g1^2*g2^2) + t^8.794/(g4^3*y^2) - t^3.931/(g4*y) - t^4.863/(g4^2*y) - t^6.618/(g1*g2*g4*y) - (g1*g3*t^6.726)/(g4^7*y) - t^6.726/(g4^4*y) - t^6.726/(g1*g3*g4*y) - (g4^5*t^7.029)/(g1*g2*y) - t^7.55/(g1*g2*g4^2*y) - (g1*g3*t^7.657)/(g4^8*y) - t^7.657/(g4^5*y) - t^7.657/(g1*g3*g4^2*y) - (g4^4*t^7.961)/(g1*g2*y) + t^8.481/(g1^2*g2*g3*y) + (g3*t^8.481)/(g2*g4^6*y) + t^8.481/(g1*g2*g4^3*y) + (g1*g3*t^8.589)/(g4^9*y) + t^8.589/(g4^6*y) + t^8.589/(g1*g3*g4^3*y) + (g4^6*t^8.785)/(g1^2*g2^2*y) + (g3*t^8.892)/(g2*y) + (g4^6*t^8.892)/(g1^2*g2*g3*y) - (t^3.931*y)/g4 - (t^4.863*y)/g4^2 - (t^6.618*y)/(g1*g2*g4) - (g1*g3*t^6.726*y)/g4^7 - (t^6.726*y)/g4^4 - (t^6.726*y)/(g1*g3*g4) - (g4^5*t^7.029*y)/(g1*g2) - (t^7.55*y)/(g1*g2*g4^2) - (g1*g3*t^7.657*y)/g4^8 - (t^7.657*y)/g4^5 - (t^7.657*y)/(g1*g3*g4^2) - (g4^4*t^7.961*y)/(g1*g2) + (t^8.481*y)/(g1^2*g2*g3) + (g3*t^8.481*y)/(g2*g4^6) + (t^8.481*y)/(g1*g2*g4^3) + (g1*g3*t^8.589*y)/g4^9 + (t^8.589*y)/g4^6 + (t^8.589*y)/(g1*g3*g4^3) + (g4^6*t^8.785*y)/(g1^2*g2^2) + (g3*t^8.892*y)/g2 + (g4^6*t^8.892*y)/(g1^2*g2*g3) + (t^8.794*y^2)/g4^3

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
58026	${}M_{1}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }M_{3}\phi_{1}^{3}$	1.4532	1.64	0.8861	[X:[1.3357], M:[0.9965, 0.9965, 1.0035], q:[0.5053, 0.4982], qb:[0.4982, 0.5053], phi:[0.3322]]	3*t^2.99 + t^3.01 + t^3.03 + t^3.99 + 3*t^4.01 + t^4.03 + t^4.98 + 2*t^5. + t^5.02 + 2*t^5.5 + 2*t^5.52 + 4*t^5.98 - t^6. - t^4./y - t^4.99/y - t^4.*y - t^4.99*y	detail
58030	${}M_{1}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$	1.4613	1.6445	0.8886	[X:[1.3797], M:[0.9304, 0.9304, 0.9304], q:[0.5348, 0.5348], qb:[0.5348, 0.5348], phi:[0.3101]]	4*t^2.79 + t^3.21 + 5*t^4.14 + 4*t^5.07 + 10*t^5.58 + 4*t^5.74 - 4*t^6. - t^3.93/y - t^4.86/y - t^3.93*y - t^4.86*y	detail
58033	${}M_{1}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }M_{4}q_{1}\tilde{q}_{2}$	1.4689	1.6564	0.8868	[X:[1.3962], M:[0.9057, 0.9057, 0.9057, 0.9057], q:[0.5471, 0.5471], qb:[0.5471, 0.5471], phi:[0.3019]]	5*t^2.72 + 5*t^4.19 + 4*t^5.09 + 15*t^5.43 + 4*t^5.83 - 8*t^6. - t^3.91/y - t^4.81/y - t^3.91*y - t^4.81*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
47885	SU3adj1nf2	${}M_{1}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$	1.4561	1.6383	0.8888	[X:[1.3617], M:[0.9574, 0.9574], q:[0.5213, 0.5213], qb:[0.5213, 0.5213], phi:[0.3191]]	3*t^2.872 + 2*t^3.128 + 5*t^4.085 + 4*t^5.043 + 4*t^5.649 + 6*t^5.744 - 2*t^6. - t^3.957/y - t^4.915/y - t^3.957*y - t^4.915*y	detail