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
57314	SU3adj1nf2	${}M_{1}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\phi_{1}^{3}$	1.4535	1.6383	0.8872	[X:[1.3429], M:[0.9857, 0.9857, 1.0143], q:[0.5072, 0.5072], qb:[0.5072, 0.5072], phi:[0.3286]]	[X:[[0, 0, 0, 2]], M:[[1, 0, 1, -6], [-1, 0, -1, 0], [0, 0, 0, 3]], 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
${}M_{2}$, ${ }M_{1}$, ${ }q_{2}\tilde{q}_{1}$, ${ }M_{3}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }X_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}^{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}q_{1}q_{2}^{2}$, ${ }\phi_{1}q_{1}^{2}q_{2}$, ${ }M_{2}^{2}$, ${ }M_{1}^{2}$, ${ }M_{1}M_{2}$	${}M_{1}M_{3}$, ${ }M_{2}M_{3}$	-2	2*t^2.957 + 3*t^3.043 + 5*t^4.029 + 4*t^5.014 + 4*t^5.55 + 3*t^5.914 - 2*t^6. + 6*t^6.086 + 4*t^6.536 + 3*t^6.986 + 15*t^7.072 + 4*t^7.521 + 2*t^7.971 + 22*t^8.057 - 8*t^8.507 + 12*t^8.593 + 4*t^8.871 - 2*t^8.957 + t^8.957/y^2 - t^3.986/y - t^4.971/y - (2*t^6.943)/y - (3*t^7.029)/y - (2*t^7.928)/y - (3*t^8.014)/y + t^8.914/y - t^3.986*y - t^4.971*y - 2*t^6.943*y - 3*t^7.029*y - 2*t^7.928*y - 3*t^8.014*y + t^8.914*y + t^8.957*y^2	t^2.957/(g1*g3) + (g1*g3*t^2.957)/g4^6 + g1*g2*t^3.043 + g4^3*t^3.043 + (g4^6*t^3.043)/(g1*g2) + (g1*g2*t^4.029)/g4 + (g1*g3*t^4.029)/g4 + g4^2*t^4.029 + (g4^5*t^4.029)/(g1*g2) + (g4^5*t^4.029)/(g1*g3) + (g1*g2*t^5.014)/g4^2 + (g1*g3*t^5.014)/g4^2 + (g4^4*t^5.014)/(g1*g2) + (g4^4*t^5.014)/(g1*g3) + (g2^2*g3*t^5.55)/g4 + (g2*g3^2*t^5.55)/g4 + (g1*g4^5*t^5.55)/(g2*g3) + (g4^11*t^5.55)/(g1*g2^2*g3^2) + t^5.914/(g1^2*g3^2) + (g1^2*g3^2*t^5.914)/g4^12 + t^5.914/g4^6 - 4*t^6. + (g1*g3*t^6.)/g4^3 + (g4^3*t^6.)/(g1*g3) + g1^2*g2^2*t^6.086 + g1*g2*g4^3*t^6.086 + 2*g4^6*t^6.086 + (g4^9*t^6.086)/(g1*g2) + (g4^12*t^6.086)/(g1^2*g2^2) + (g2^2*g3*t^6.536)/g4^2 + (g2*g3^2*t^6.536)/g4^2 + (g1*g4^4*t^6.536)/(g2*g3) + (g4^10*t^6.536)/(g1*g2^2*g3^2) + (g1^2*g3^2*t^6.986)/g4^7 + (g1*g3*t^6.986)/g4^4 - t^6.986/g4 + (g4^2*t^6.986)/(g1*g3) + (g4^5*t^6.986)/(g1^2*g3^2) + (g1^2*g2^2*t^7.072)/g4 + (g1^2*g2*g3*t^7.072)/g4 + 2*g1*g2*g4^2*t^7.072 + g1*g3*g4^2*t^7.072 + 3*g4^5*t^7.072 + (g2*g4^5*t^7.072)/g3 + (g3*g4^5*t^7.072)/g2 + (2*g4^8*t^7.072)/(g1*g2) + (g4^8*t^7.072)/(g1*g3) + (g4^11*t^7.072)/(g1^2*g2^2) + (g4^11*t^7.072)/(g1^2*g2*g3) - (g2*g3*t^7.521)/g1 - (g1*g2^2*g3^2*t^7.521)/g4^6 + (g1^3*t^7.521)/g4^3 + (g2^3*t^7.521)/g4^3 + (g2^2*g3*t^7.521)/g4^3 + (g2*g3^2*t^7.521)/g4^3 + (g3^3*t^7.521)/g4^3 + (g1*g4^3*t^7.521)/(g2*g3) - (g4^6*t^7.521)/(g2*g3^2) - (g4^6*t^7.521)/(g2^2*g3) + (g4^9*t^7.521)/(g1*g2^2*g3^2) + (g4^15*t^7.521)/(g1^3*g2^3*g3^3) + (g1^2*g3^2*t^7.971)/g4^8 + (g4^4*t^7.971)/(g1^2*g3^2) + (2*g1^2*g2^2*t^8.057)/g4^2 + (2*g1^2*g2*g3*t^8.057)/g4^2 + (g1^2*g3^2*t^8.057)/g4^2 + g1*g2*g4*t^8.057 + g1*g3*g4*t^8.057 + 4*g4^4*t^8.057 + (2*g2*g4^4*t^8.057)/g3 + (2*g3*g4^4*t^8.057)/g2 + (g4^7*t^8.057)/(g1*g2) + (g4^7*t^8.057)/(g1*g3) + (2*g4^10*t^8.057)/(g1^2*g2^2) + (g4^10*t^8.057)/(g1^2*g3^2) + (2*g4^10*t^8.057)/(g1^2*g2*g3) - (g1*g2^3*g3*t^8.507)/g4^7 - (g1*g2^2*g3^2*t^8.507)/g4^7 - (g1^2*t^8.507)/(g3*g4) - (g2*g3*t^8.507)/(g1*g4) - (g3^2*t^8.507)/(g1*g4) - (g4^5*t^8.507)/(g2*g3^2) - (g4^5*t^8.507)/(g2^2*g3) - (g4^11*t^8.507)/(g1^2*g2^3*g3^2) + (g1*g2^3*g3*t^8.593)/g4 + (g1*g2^2*g3^2*t^8.593)/g4 + g2^2*g3*g4^2*t^8.593 + g2*g3^2*g4^2*t^8.593 + (g1^2*g4^5*t^8.593)/g3 + (g2*g3*g4^5*t^8.593)/g1 + (g3^2*g4^5*t^8.593)/g1 + (g1*g4^8*t^8.593)/(g2*g3) + (g4^11*t^8.593)/(g2*g3^2) + (g4^11*t^8.593)/(g2^2*g3) + (g4^14*t^8.593)/(g1*g2^2*g3^2) + (g4^17*t^8.593)/(g1^2*g2^3*g3^2) + t^8.871/(g1^3*g3^3) + (g1^3*g3^3*t^8.871)/g4^18 + (g1*g3*t^8.871)/g4^12 + t^8.871/(g1*g3*g4^6) - (3*t^8.957)/(g1*g3) + (g1^2*g3^2*t^8.957)/g4^9 - (3*g1*g3*t^8.957)/g4^6 + (2*t^8.957)/g4^3 + (g4^3*t^8.957)/(g1^2*g3^2) + t^8.957/(g4^3*y^2) - t^3.986/(g4*y) - t^4.971/(g4^2*y) - (g1*g3*t^6.943)/(g4^7*y) - t^6.943/(g1*g3*g4*y) - (g1*g2*t^7.029)/(g4*y) - (g4^2*t^7.029)/y - (g4^5*t^7.029)/(g1*g2*y) - (g1*g3*t^7.928)/(g4^8*y) - t^7.928/(g1*g3*g4^2*y) - (g1*g2*t^8.014)/(g4^2*y) - (g4*t^8.014)/y - (g4^4*t^8.014)/(g1*g2*y) + t^8.914/(g4^6*y) - (t^3.986*y)/g4 - (t^4.971*y)/g4^2 - (g1*g3*t^6.943*y)/g4^7 - (t^6.943*y)/(g1*g3*g4) - (g1*g2*t^7.029*y)/g4 - g4^2*t^7.029*y - (g4^5*t^7.029*y)/(g1*g2) - (g1*g3*t^7.928*y)/g4^8 - (t^7.928*y)/(g1*g3*g4^2) - (g1*g2*t^8.014*y)/g4^2 - g4*t^8.014*y - (g4^4*t^8.014*y)/(g1*g2) + (t^8.914*y)/g4^6 + (t^8.957*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
58021	${}M_{1}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\phi_{1}^{3}$ + ${ }M_{4}q_{2}\tilde{q}_{1}$	1.4578	1.6423	0.8876	[X:[1.3613], M:[0.958, 0.958, 1.042, 0.9215], q:[0.5027, 0.5393], qb:[0.5393, 0.5027], phi:[0.3193]]	t^2.76 + 2*t^2.87 + t^3.02 + t^3.13 + t^3.97 + 3*t^4.08 + t^4.19 + t^4.93 + 2*t^5.04 + t^5.15 + t^5.53 + 2*t^5.59 + 2*t^5.64 + 2*t^5.7 + 3*t^5.75 + t^5.78 + t^5.89 - 2*t^6. - t^3.96/y - t^4.92/y - t^3.96*y - t^4.92*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