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
45869	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{1}\phi_{1}^{2}$	0.7036	0.8583	0.8198	[M:[1.0499, 0.8504], q:[0.4751, 0.4751], qb:[0.5748, 0.5748], phi:[0.4751]]	[M:[[0, 2, 2], [0, -6, -6]], q:[[-1, -2, -2], [1, 0, 0]], qb:[[0, 6, 0], [0, 0, 6]], phi:[[0, -1, -1]]]	3

Relevant Operators	Marginal Operators	$n_{marginal}$$-$$|F_{IR}|$	Superconformal Index	Refined index
${}M_{2}$, ${ }\phi_{1}^{2}$, ${ }q_{2}\tilde{q}_{1}$, ${ }q_{1}\tilde{q}_{1}$, ${ }M_{1}$, ${ }q_{1}\tilde{q}_{2}$, ${ }q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{2}^{2}$, ${ }M_{2}\phi_{1}^{2}$, ${ }M_{1}M_{2}$, ${ }\phi_{1}^{4}$	${}\phi_{1}^{2}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$	-3	t^2.551 + t^2.85 + 5*t^3.15 + 3*t^4.276 + 4*t^4.575 + 3*t^4.874 + t^5.102 + t^5.401 + 2*t^5.701 - 3*t^6. + 10*t^6.299 + 3*t^6.827 + 3*t^7.126 + 8*t^7.425 + t^7.653 + 8*t^7.724 + t^7.953 + 8*t^8.024 + 2*t^8.252 + 2*t^8.551 + 2*t^8.85 - t^4.425/y - t^6.976/y + t^7.874/y + t^8.401/y + (5*t^8.701)/y - t^4.425*y - t^6.976*y + t^7.874*y + t^8.401*y + 5*t^8.701*y	t^2.551/(g2^6*g3^6) + t^2.85/(g2^2*g3^2) + g1*g2^6*t^3.15 + (g2^4*t^3.15)/(g1*g3^2) + g2^2*g3^2*t^3.15 + (g3^4*t^3.15)/(g1*g2^2) + g1*g3^6*t^3.15 + t^4.276/(g1^2*g2^5*g3^5) + t^4.276/(g2^3*g3^3) + (g1^2*t^4.276)/(g2*g3) + (g2^3*t^4.575)/(g1*g3^3) + (g1*g2^5*t^4.575)/g3 + (g3^3*t^4.575)/(g1*g2^3) + (g1*g3^5*t^4.575)/g2 + (g2^11*t^4.874)/g3 + g2^5*g3^5*t^4.874 + (g3^11*t^4.874)/g2 + t^5.102/(g2^12*g3^12) + t^5.401/(g2^8*g3^8) + (2*t^5.701)/(g2^4*g3^4) - 3*t^6. - (g2^6*t^6.)/g3^6 + (g2^2*t^6.)/(g1*g3^4) - t^6./(g1^2*g2^2*g3^2) + (g1*g2^4*t^6.)/g3^2 + (g3^2*t^6.)/(g1*g2^4) - g1^2*g2^2*g3^2*t^6. + (g1*g3^4*t^6.)/g2^2 - (g3^6*t^6.)/g2^6 + g1^2*g2^12*t^6.299 + (g2^8*t^6.299)/(g1^2*g3^4) + (g2^10*t^6.299)/g3^2 + (g2^2*g3^2*t^6.299)/g1^2 + 2*g2^4*g3^4*t^6.299 + g1^2*g2^6*g3^6*t^6.299 + (g3^8*t^6.299)/(g1^2*g2^4) + (g3^10*t^6.299)/g2^2 + g1^2*g3^12*t^6.299 + t^6.827/(g1^2*g2^11*g3^11) + t^6.827/(g2^9*g3^9) + (g1^2*t^6.827)/(g2^7*g3^7) + t^7.126/(g1^2*g2^7*g3^7) + t^7.126/(g2^5*g3^5) + (g1^2*t^7.126)/(g2^3*g3^3) + t^7.425/(g1^3*g2*g3^7) + (2*g2*t^7.425)/(g1*g3^5) - t^7.425/(g1^2*g2^3*g3^3) + (2*g1*g2^3*t^7.425)/g3^3 + t^7.425/(g1^3*g2^7*g3) - (2*t^7.425)/(g2*g3) + (g1^3*g2^5*t^7.425)/g3 + (2*g3*t^7.425)/(g1*g2^5) - g1^2*g2*g3*t^7.425 + (2*g1*g3^3*t^7.425)/g2^3 + (g1^3*g3^5*t^7.425)/g2 + t^7.653/(g2^18*g3^18) + (g2^7*t^7.724)/(g1^2*g3^5) + (2*g2^9*t^7.724)/g3^3 - (g2^5*t^7.724)/(g1*g3) + (g1^2*g2^11*t^7.724)/g3 + (g2*g3*t^7.724)/g1^2 - g1*g2^7*g3*t^7.724 + 2*g2^3*g3^3*t^7.724 - (g3^5*t^7.724)/(g1*g2) + g1^2*g2^5*g3^5*t^7.724 + (g3^7*t^7.724)/(g1^2*g2^5) - g1*g2*g3^7*t^7.724 + (2*g3^9*t^7.724)/g2^3 + (g1^2*g3^11*t^7.724)/g2 + t^7.953/(g2^14*g3^14) + (g2^15*t^8.024)/(g1*g3^3) + (g1*g2^17*t^8.024)/g3 + (g2^9*g3^3*t^8.024)/g1 + g1*g2^11*g3^5*t^8.024 + (g2^3*g3^9*t^8.024)/g1 + g1*g2^5*g3^11*t^8.024 + (g3^15*t^8.024)/(g1*g2^3) + (g1*g3^17*t^8.024)/g2 + (2*t^8.252)/(g2^10*g3^10) + t^8.551/(g1^4*g2^10*g3^10) + (g1^4*t^8.551)/(g2^2*g3^2) - 2*g1^2*t^8.85 + (2*t^8.85)/(g1*g2^6) + t^8.85/(g1^3*g2^2*g3^8) - (g2^4*t^8.85)/g3^8 + (2*t^8.85)/(g1*g3^6) - (2*t^8.85)/(g1^2*g2^4*g3^4) + (2*g1*g2^2*t^8.85)/g3^4 + t^8.85/(g1^3*g2^8*g3^2) - (4*t^8.85)/(g2^2*g3^2) + (g1^3*g2^4*t^8.85)/g3^2 + (2*g1*g3^2*t^8.85)/g2^4 - (g3^4*t^8.85)/g2^8 + (g1^3*g3^4*t^8.85)/g2^2 - t^4.425/(g2*g3*y) - t^6.976/(g2^7*g3^7*y) + (g2^5*g3^5*t^7.874)/y + t^8.401/(g2^8*g3^8*y) + (g1*t^8.701)/(g2^6*y) + t^8.701/(g1*g2^2*g3^8*y) + (g1*t^8.701)/(g3^6*y) + t^8.701/(g2^4*g3^4*y) + t^8.701/(g1*g2^8*g3^2*y) - (t^4.425*y)/(g2*g3) - (t^6.976*y)/(g2^7*g3^7) + g2^5*g3^5*t^7.874*y + (t^8.401*y)/(g2^8*g3^8) + (g1*t^8.701*y)/g2^6 + (t^8.701*y)/(g1*g2^2*g3^8) + (g1*t^8.701*y)/g3^6 + (t^8.701*y)/(g2^4*g3^4) + (t^8.701*y)/(g1*g2^8*g3^2)

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
45907	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{1}M_{3}$	0.7087	0.8668	0.8176	[M:[1.0587, 0.8239, 0.9413], q:[0.4707, 0.4707], qb:[0.588, 0.588], phi:[0.4707]]	t^2.472 + 2*t^2.824 + 4*t^3.176 + 3*t^4.236 + 4*t^4.588 + 3*t^4.94 + t^4.943 + 2*t^5.296 + 3*t^5.648 - t^4.412/y - t^4.412*y	detail
45926	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{3}\phi_{1}^{2}$	0.6994	0.8518	0.8211	[M:[1.0407, 0.8778, 1.0407], q:[0.4796, 0.4796], qb:[0.5611, 0.5611], phi:[0.4796]]	t^2.633 + 6*t^3.122 + 3*t^4.317 + 4*t^4.561 + 3*t^4.805 + t^5.267 + 2*t^5.756 - 8*t^6. - t^4.439/y - t^4.439*y	detail
45901	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}X_{1}$	0.5805	0.693	0.8377	[X:[1.6], M:[1.2, 0.4], q:[0.4, 0.4], qb:[0.8, 0.8], phi:[0.4]]	t^2.4 + 8*t^3.6 + 2*t^4.8 - t^6. - t^4.2/y - t^4.2*y	detail	{a: 1161/2000, c: 693/1000, X1: 8/5, M1: 6/5, M2: 2/5, q1: 2/5, q2: 2/5, qb1: 4/5, qb2: 4/5, phi1: 2/5}

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
55	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$	0.7382	0.8885	0.8308	[M:[0.8108, 0.8108], q:[0.5946, 0.5946], qb:[0.5946, 0.5946], phi:[0.4054]]	3*t^2.432 + 4*t^3.568 + 10*t^4.784 + 6*t^4.865 - 4*t^6. - t^4.216/y - t^4.216*y	detail