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
57430	SU3adj1nf2	${}M_{1}\phi_{1}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }M_{2}\phi_{1}^{2}q_{1}\tilde{q}_{1}$	1.1368	1.2713	0.8942	[X:[1.539], M:[0.922, 0.6915], q:[0.4237, 0.8847], qb:[0.4237, 0.8847], phi:[0.2305]]	[X:[[0, 0, 2]], M:[[0, 0, -4], [0, 0, -3]], q:[[-1, 0, 5], [0, -1, 1]], qb:[[1, 0, 0], [0, 1, 0]], phi:[[0, 0, -1]]]	3

Relevant Operators	Marginal Operators	$n_{marginal}$$-$$|F_{IR}|$	Superconformal Index	Refined index
${}M_{2}$, ${ }\phi_{1}^{3}$, ${ }q_{1}\tilde{q}_{1}$, ${ }M_{1}$, ${ }q_{2}\tilde{q}_{1}$, ${ }q_{1}\tilde{q}_{2}$, ${ }M_{2}^{2}$, ${ }M_{2}\phi_{1}^{3}$, ${ }\phi_{1}^{6}$, ${ }M_{2}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}^{3}q_{1}\tilde{q}_{1}$, ${ }X_{1}$, ${ }M_{1}M_{2}$, ${ }M_{1}\phi_{1}^{3}$, ${ }q_{1}^{2}\tilde{q}_{1}^{2}$, ${ }M_{1}q_{1}\tilde{q}_{1}$, ${ }q_{2}\tilde{q}_{2}$, ${ }M_{1}^{2}$, ${ }\phi_{1}^{3}\tilde{q}_{1}^{3}$, ${ }\phi_{1}\tilde{q}_{1}^{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}^{2}q_{2}$, ${ }\phi_{1}^{3}q_{1}^{3}$	${}M_{2}q_{2}\tilde{q}_{1}$, ${ }M_{2}q_{1}\tilde{q}_{2}$	-1	2*t^2.075 + t^2.542 + t^2.766 + 2*t^3.925 + 3*t^4.149 + 3*t^4.617 + 2*t^4.841 + t^5.085 + 2*t^5.308 + t^5.532 + 4*t^5.888 - t^6. + 4*t^6.224 + 2*t^6.468 + 6*t^6.692 + 3*t^6.915 + 3*t^7.159 + 2*t^7.383 + 2*t^7.607 + t^7.627 + 4*t^7.851 + 4*t^7.963 + 6*t^8.298 + 4*t^8.43 + t^8.766 + 4*t^8.99 + t^8.075/y^2 - (2*t^8.766)/y^2 - t^3.692/y - t^4.383/y - (2*t^5.766)/y - t^6.234/y - (3*t^6.458)/y + t^7.617/y - t^7.841/y - (5*t^8.532)/y - t^8.776/y - t^3.692*y - t^4.383*y - 2*t^5.766*y - t^6.234*y - 3*t^6.458*y + t^7.617*y - t^7.841*y - 5*t^8.532*y - t^8.776*y + t^8.075*y^2 - 2*t^8.766*y^2	(2*t^2.075)/g3^3 + g3^5*t^2.542 + t^2.766/g3^4 + (g1*g3*t^3.925)/g2 + (g2*g3^5*t^3.925)/g1 + (3*t^4.149)/g3^6 + 3*g3^2*t^4.617 + (2*t^4.841)/g3^7 + g3^10*t^5.085 + 2*g3*t^5.308 + t^5.532/g3^8 + (g1^3*t^5.888)/g3^3 + (g1^2*g2*t^5.888)/g3 + (g3^10*t^5.888)/(g1^2*g2) + (g3^12*t^5.888)/g1^3 - 3*t^6. + (g1*t^6.)/(g2*g3^2) + (g2*g3^2*t^6.)/g1 + (4*t^6.224)/g3^9 + (g1*g3^6*t^6.468)/g2 + (g2*g3^10*t^6.468)/g1 + (g1*t^6.692)/(g2*g3^3) + (4*t^6.692)/g3 + (g2*g3*t^6.692)/g1 + (3*t^6.915)/g3^10 + 3*g3^7*t^7.159 - (g2*t^7.383)/g1 - (g1*t^7.383)/(g2*g3^4) + (4*t^7.383)/g3^2 + (2*t^7.607)/g3^11 + g3^15*t^7.627 + (g1^2*g3^2*t^7.851)/g2^2 + 2*g3^6*t^7.851 + (g2^2*g3^10*t^7.851)/g1^2 + (g1^3*t^7.963)/g3^6 + (g1^2*g2*t^7.963)/g3^4 + (g3^7*t^7.963)/(g1^2*g2) + (g3^9*t^7.963)/g1^3 + (g1*t^8.075)/(g2*g3^5) - (2*t^8.075)/g3^3 + (g2*t^8.075)/(g1*g3) + (6*t^8.298)/g3^12 + g1^3*g3^2*t^8.43 + g1^2*g2*g3^4*t^8.43 + (g3^15*t^8.43)/(g1^2*g2) + (g3^17*t^8.43)/g1^3 + (2*g1*g3^3*t^8.542)/g2 - 4*g3^5*t^8.542 + (2*g2*g3^7*t^8.542)/g1 + (g1*t^8.766)/(g2*g3^6) - t^8.766/g3^4 + (g2*t^8.766)/(g1*g3^2) + (4*t^8.99)/g3^13 + t^8.075/(g3^3*y^2) - (2*t^8.766)/(g3^4*y^2) - t^3.692/(g3*y) - t^4.383/(g3^2*y) - (2*t^5.766)/(g3^4*y) - (g3^4*t^6.234)/y - (3*t^6.458)/(g3^5*y) - (g1*t^7.617)/(g2*y) + (3*g3^2*t^7.617)/y - (g2*g3^4*t^7.617)/(g1*y) - t^7.841/(g3^7*y) - (5*t^8.532)/(g3^8*y) - (g3^9*t^8.776)/y - (t^3.692*y)/g3 - (t^4.383*y)/g3^2 - (2*t^5.766*y)/g3^4 - g3^4*t^6.234*y - (3*t^6.458*y)/g3^5 - (g1*t^7.617*y)/g2 + 3*g3^2*t^7.617*y - (g2*g3^4*t^7.617*y)/g1 - (t^7.841*y)/g3^7 - (5*t^8.532*y)/g3^8 - g3^9*t^8.776*y + (t^8.075*y^2)/g3^3 - (2*t^8.766*y^2)/g3^4

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
59428	${}M_{1}\phi_{1}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }M_{2}\phi_{1}^{2}q_{1}\tilde{q}_{1}$ + ${ }M_{1}^{2}$	1.1272	1.2678	0.8891	[X:[1.5], M:[1.0, 0.75], q:[0.375, 0.875], qb:[0.375, 0.875], phi:[0.25]]	3*t^2.25 + t^3. + 2*t^3.75 + 7*t^4.5 + 4*t^5.25 + 4*t^5.62 + 2*t^6. - t^3.75/y - t^4.5/y - (3*t^6.)/y - t^3.75*y - t^4.5*y - 3*t^6.*y	detail	{a: 4617/4096, c: 5193/4096, X1: 3/2, M1: 1, M2: 3/4, q1: 3/8, q2: 7/8, qb1: 3/8, qb2: 7/8, phi1: 1/4}
58780	${}M_{1}\phi_{1}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }M_{2}\phi_{1}^{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$	1.1575	1.3118	0.8824	[X:[1.54], M:[0.9201, 0.6901, 0.6816], q:[0.4235, 0.892], qb:[0.4264, 0.8779], phi:[0.23]]	t^2.04 + 2*t^2.07 + t^2.55 + t^2.76 + t^3.9 + t^4.09 + 2*t^4.11 + 3*t^4.14 + t^4.59 + 3*t^4.62 + t^4.8 + 2*t^4.83 + t^5.1 + 2*t^5.31 + t^5.52 + 2*t^5.88 + 2*t^5.91 + t^5.95 + t^5.97 - 3*t^6. - t^3.69/y - t^4.38/y - t^5.73/y - (2*t^5.76)/y - t^3.69*y - t^4.38*y - t^5.73*y - 2*t^5.76*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
47904	SU3adj1nf2	${}M_{1}\phi_{1}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }\phi_{1}^{2}X_{1}$	1.1161	1.2318	0.9061	[X:[1.5372], M:[0.9256], q:[0.4215, 0.8843], qb:[0.4215, 0.8843], phi:[0.2314]]	t^2.083 + t^2.529 + t^2.777 + 3*t^3.917 + t^4.165 + 2*t^4.612 + t^4.859 + t^5.058 + 2*t^5.306 + t^5.553 + 4*t^5.876 - 2*t^6. - t^3.694/y - t^4.388/y - t^5.777/y - t^3.694*y - t^4.388*y - t^5.777*y	detail