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
45926	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{3}\phi_{1}^{2}$	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]]	[M:[[0, 2, 2], [0, -6, -6], [0, 2, 2]], 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
${}M_{2}$, ${ }q_{2}\tilde{q}_{1}$, ${ }q_{1}\tilde{q}_{1}$, ${ }M_{1}$, ${ }M_{3}$, ${ }q_{1}\tilde{q}_{2}$, ${ }q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{2}^{2}$, ${ }M_{1}M_{2}$, ${ }M_{2}M_{3}$	${}$	-8	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. + 16*t^6.244 + 3*t^6.95 + 7*t^7.439 + 9*t^7.683 + t^7.9 + 11*t^7.928 + 2*t^8.389 + 7*t^8.878 - t^4.439/y - t^7.072/y + t^7.317/y - t^7.561/y + t^7.805/y + (6*t^8.756)/y - t^4.439*y - t^7.072*y + t^7.317*y - t^7.561*y + t^7.805*y + 6*t^8.756*y	t^2.633/(g2^6*g3^6) + g1*g2^6*t^3.122 + (g2^4*t^3.122)/(g1*g3^2) + 2*g2^2*g3^2*t^3.122 + (g3^4*t^3.122)/(g1*g2^2) + g1*g3^6*t^3.122 + t^4.317/(g1^2*g2^5*g3^5) + t^4.317/(g2^3*g3^3) + (g1^2*t^4.317)/(g2*g3) + (g2^3*t^4.561)/(g1*g3^3) + (g1*g2^5*t^4.561)/g3 + (g3^3*t^4.561)/(g1*g2^3) + (g1*g3^5*t^4.561)/g2 + (g2^11*t^4.805)/g3 + g2^5*g3^5*t^4.805 + (g3^11*t^4.805)/g2 + t^5.267/(g2^12*g3^12) + (2*t^5.756)/(g2^4*g3^4) - 4*t^6. - (g2^6*t^6.)/g3^6 - t^6./(g1^2*g2^2*g3^2) - g1^2*g2^2*g3^2*t^6. - (g3^6*t^6.)/g2^6 + (g2^6*t^6.244)/g1 + g1^2*g2^12*t^6.244 + (g2^8*t^6.244)/(g1^2*g3^4) + (g2^10*t^6.244)/g3^2 + (g2^2*g3^2*t^6.244)/g1^2 + g1*g2^8*g3^2*t^6.244 + 4*g2^4*g3^4*t^6.244 + (g3^6*t^6.244)/g1 + g1^2*g2^6*g3^6*t^6.244 + (g3^8*t^6.244)/(g1^2*g2^4) + g1*g2^2*g3^8*t^6.244 + (g3^10*t^6.244)/g2^2 + g1^2*g3^12*t^6.244 + t^6.95/(g1^2*g2^11*g3^11) + t^6.95/(g2^9*g3^9) + (g1^2*t^6.95)/(g2^7*g3^7) + t^7.439/(g1^3*g2*g3^7) + (g2*t^7.439)/(g1*g3^5) + (g1*g2^3*t^7.439)/g3^3 + t^7.439/(g1^3*g2^7*g3) - t^7.439/(g2*g3) + (g1^3*g2^5*t^7.439)/g3 + (g3*t^7.439)/(g1*g2^5) + (g1*g3^3*t^7.439)/g2^3 + (g1^3*g3^5*t^7.439)/g2 + (g2^7*t^7.683)/(g1^2*g3^5) + (g2^9*t^7.683)/g3^3 + (g1^2*g2^11*t^7.683)/g3 + (g2*g3*t^7.683)/g1^2 + g2^3*g3^3*t^7.683 + g1^2*g2^5*g3^5*t^7.683 + (g3^7*t^7.683)/(g1^2*g2^5) + (g3^9*t^7.683)/g2^3 + (g1^2*g3^11*t^7.683)/g2 + t^7.9/(g2^18*g3^18) + (g2^15*t^7.928)/(g1*g3^3) + (g1*g2^17*t^7.928)/g3 + g2^13*g3*t^7.928 + (g2^9*g3^3*t^7.928)/g1 + g1*g2^11*g3^5*t^7.928 + g2^7*g3^7*t^7.928 + (g2^3*g3^9*t^7.928)/g1 + g1*g2^5*g3^11*t^7.928 + g2*g3^13*t^7.928 + (g3^15*t^7.928)/(g1*g2^3) + (g1*g3^17*t^7.928)/g2 + (2*t^8.389)/(g2^10*g3^10) + t^8.633/(g1^4*g2^10*g3^10) - (2*t^8.633)/(g2^6*g3^6) + (g1^4*t^8.633)/(g2^2*g3^2) - g1^2*t^8.878 + t^8.878/(g1*g2^6) + t^8.878/(g1^3*g2^2*g3^8) + t^8.878/(g1*g3^6) - t^8.878/(g1^2*g2^4*g3^4) + (g1*g2^2*t^8.878)/g3^4 + t^8.878/(g1^3*g2^8*g3^2) + t^8.878/(g2^2*g3^2) + (g1^3*g2^4*t^8.878)/g3^2 + (g1*g3^2*t^8.878)/g2^4 + (g1^3*g3^4*t^8.878)/g2^2 - t^4.439/(g2*g3*y) - t^7.072/(g2^7*g3^7*y) + t^7.317/(g2^3*g3^3*y) - (g2*g3*t^7.561)/y + (g2^5*g3^5*t^7.805)/y + (g1*t^8.756)/(g2^6*y) + t^8.756/(g1*g2^2*g3^8*y) + (g1*t^8.756)/(g3^6*y) + (2*t^8.756)/(g2^4*g3^4*y) + t^8.756/(g1*g2^8*g3^2*y) - (t^4.439*y)/(g2*g3) - (t^7.072*y)/(g2^7*g3^7) + (t^7.317*y)/(g2^3*g3^3) - g2*g3*t^7.561*y + g2^5*g3^5*t^7.805*y + (g1*t^8.756*y)/g2^6 + (t^8.756*y)/(g1*g2^2*g3^8) + (g1*t^8.756*y)/g3^6 + (2*t^8.756*y)/(g2^4*g3^4) + (t^8.756*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
46035	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }\phi_{1}q_{1}^{2}$	0.5911	0.7501	0.788	[M:[0.9703, 1.0891, 0.9703], q:[0.7426, 0.2871], qb:[0.4555, 0.4555], phi:[0.5148]]	2*t^2.228 + 2*t^2.911 + 2*t^3.267 + 2*t^3.594 + 2*t^3.772 + 3*t^4.277 + 3*t^4.455 + 4*t^5.139 + 2*t^5.495 + 6*t^5.822 - 2*t^6. - t^4.545/y - t^4.545*y	detail
46040	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }\phi_{1}\tilde{q}_{1}^{2}$	0.6636	0.8114	0.8179	[M:[1.0903, 0.7292, 1.0903], q:[0.4549, 0.4549], qb:[0.7726, 0.4983], phi:[0.4549]]	t^2.188 + 2*t^2.859 + 2*t^3.271 + 2*t^3.682 + 3*t^4.094 + 2*t^4.224 + t^4.354 + t^4.375 + 2*t^5.047 + 2*t^5.458 + 3*t^5.719 - 5*t^6. - t^4.365/y - t^4.365*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
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]]	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. - t^4.425/y - t^4.425*y	detail