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
79551	Sp2s2nf1	${}M_{1}S_{1}S_{2}$ + ${ }M_{2}q_{1}q_{2}$ + ${ }M_{3}S_{1}^{2}$ + ${ }M_{4}S_{2}^{2}$	2.4395	2.5887	0.9424	[X:[], M:[0.8738, 0.757, 0.8738, 0.8738], q:[0.6215, 0.6215], qb:[], phi:[], S:[0.5631, 0.5631], Sb:[], A:[], Ab:[]]	[X:[], M:[[0, -1, -1], [0, 6, 6], [0, -2, 0], [0, 0, -2]], q:[[-1, -6, -6], [1, 0, 0]], qb:[], phi:[], S:[[0, 1, 0], [0, 0, 1]], Sb:[], A:[], Ab:[]]	3

Relevant Operators	Marginal Operators	$n_{marginal}$$-$$|F_{IR}|$	Superconformal Index	Refined index
${}M_{2}$, ${ }M_{3}$, ${ }M_{4}$, ${ }M_{1}$, ${ }M_{2}^{2}$, ${ }M_{2}M_{4}$, ${ }M_{1}M_{2}$, ${ }M_{2}M_{3}$, ${ }M_{3}^{2}$, ${ }M_{4}^{2}$, ${ }M_{1}M_{4}$, ${ }M_{1}^{2}$, ${ }M_{3}M_{4}$, ${ }M_{1}M_{3}$, ${ }q_{2}^{2}S_{1}$, ${ }q_{1}^{2}S_{1}$, ${ }q_{1}^{2}S_{2}$, ${ }q_{1}q_{2}S_{1}$, ${ }q_{1}q_{2}S_{2}$, ${ }q_{2}^{2}S_{2}$	${}$	-7	t^2.271 + 3*t^2.622 + t^4.542 + 3*t^4.892 + 6*t^5.243 + 6*t^5.418 - 7*t^6. + 6*t^6.757 + t^6.813 + 6*t^7.108 + 3*t^7.163 + 6*t^7.514 - 2*t^7.689 + 10*t^7.865 + 12*t^8.04 - 4*t^8.271 - 20*t^8.622 + 20*t^8.797 - (2*t^4.689)/y - (2*t^6.96)/y - (4*t^7.311)/y + (3*t^7.892)/y - (4*t^8.068)/y + (3*t^8.243)/y - 2*t^4.689*y - 2*t^6.96*y - 4*t^7.311*y + 3*t^7.892*y - 4*t^8.068*y + 3*t^8.243*y	g2^6*g3^6*t^2.271 + t^2.622/g2^2 + t^2.622/g3^2 + t^2.622/(g2*g3) + g2^12*g3^12*t^4.542 + g2^6*g3^4*t^4.892 + g2^5*g3^5*t^4.892 + g2^4*g3^6*t^4.892 + t^5.243/g2^4 + t^5.243/g3^4 + t^5.243/(g2*g3^3) + (2*t^5.243)/(g2^2*g3^2) + t^5.243/(g2^3*g3) + g1^2*g2*t^5.418 + t^5.418/(g1^2*g2^11*g3^12) + t^5.418/(g1^2*g2^12*g3^11) + t^5.418/(g2^5*g3^6) + t^5.418/(g2^6*g3^5) + g1^2*g3*t^5.418 - 3*t^6. - t^6./(g1^2*g2^6*g3^6) - (g2*t^6.)/g3 - (g3*t^6.)/g2 - g1^2*g2^6*g3^6*t^6. + g2^4*t^6.757 + g2^3*g3*t^6.757 + 2*g2^2*g3^2*t^6.757 + g2*g3^3*t^6.757 + g3^4*t^6.757 + g2^18*g3^18*t^6.813 + t^7.108/(g1^2*g2^11*g3^11) + t^7.108/(g2^4*g3^6) + (2*t^7.108)/(g2^5*g3^5) + t^7.108/(g2^6*g3^4) + g1^2*g2*g3*t^7.108 + g2^12*g3^10*t^7.163 + g2^11*g3^11*t^7.163 + g2^10*g3^12*t^7.163 + g2^6*g3^2*t^7.514 + g2^5*g3^3*t^7.514 + 2*g2^4*g3^4*t^7.514 + g2^3*g3^5*t^7.514 + g2^2*g3^6*t^7.514 - g2*t^7.689 - g3*t^7.689 + t^7.865/g2^6 + t^7.865/g3^6 + t^7.865/(g2*g3^5) + (2*t^7.865)/(g2^2*g3^4) + (2*t^7.865)/(g2^3*g3^3) + (2*t^7.865)/(g2^4*g3^2) + t^7.865/(g2^5*g3) + (g1^2*t^8.04)/g2 + t^8.04/(g1^2*g2^11*g3^14) + t^8.04/(g1^2*g2^12*g3^13) + t^8.04/(g1^2*g2^13*g3^12) + t^8.04/(g1^2*g2^14*g3^11) + t^8.04/(g2^5*g3^8) + t^8.04/(g2^6*g3^7) + t^8.04/(g2^7*g3^6) + t^8.04/(g2^8*g3^5) + (g1^2*g2*t^8.04)/g3^2 + (g1^2*t^8.04)/g3 + (g1^2*g3*t^8.04)/g2^2 - g2^7*g3^5*t^8.271 - 2*g2^6*g3^6*t^8.271 - g2^5*g3^7*t^8.271 - (4*t^8.622)/g2^2 - t^8.622/(g1^2*g2^6*g3^8) - t^8.622/(g1^2*g2^7*g3^7) - t^8.622/(g1^2*g2^8*g3^6) - (g2*t^8.622)/g3^3 - (4*t^8.622)/g3^2 - (4*t^8.622)/(g2*g3) - (g3*t^8.622)/g2^3 - g1^2*g2^6*g3^4*t^8.622 - g1^2*g2^5*g3^5*t^8.622 - g1^2*g2^4*g3^6*t^8.622 + g1^2*g2^3*t^8.797 + t^8.797/(g1^2*g2^9*g3^12) + (2*t^8.797)/(g1^2*g2^10*g3^11) + (2*t^8.797)/(g1^2*g2^11*g3^10) + t^8.797/(g1^2*g2^12*g3^9) + t^8.797/(g2^3*g3^6) + (3*t^8.797)/(g2^4*g3^5) + (3*t^8.797)/(g2^5*g3^4) + t^8.797/(g2^6*g3^3) + 2*g1^2*g2^2*g3*t^8.797 + 2*g1^2*g2*g3^2*t^8.797 + g1^2*g3^3*t^8.797 - (g2*t^4.689)/y - (g3*t^4.689)/y - (g2^7*g3^6*t^6.96)/y - (g2^6*g3^7*t^6.96)/y - t^7.311/(g2*y) - (g2*t^7.311)/(g3^2*y) - t^7.311/(g3*y) - (g3*t^7.311)/(g2^2*y) + (g2^6*g3^4*t^7.892)/y + (g2^5*g3^5*t^7.892)/y + (g2^4*g3^6*t^7.892)/y - (g2^3*t^8.068)/y - (g2^2*g3*t^8.068)/y - (g2*g3^2*t^8.068)/y - (g3^3*t^8.068)/y + t^8.243/(g2*g3^3*y) + t^8.243/(g2^2*g3^2*y) + t^8.243/(g2^3*g3*y) - g2*t^4.689*y - g3*t^4.689*y - g2^7*g3^6*t^6.96*y - g2^6*g3^7*t^6.96*y - (t^7.311*y)/g2 - (g2*t^7.311*y)/g3^2 - (t^7.311*y)/g3 - (g3*t^7.311*y)/g2^2 + g2^6*g3^4*t^7.892*y + g2^5*g3^5*t^7.892*y + g2^4*g3^6*t^7.892*y - g2^3*t^8.068*y - g2^2*g3*t^8.068*y - g2*g3^2*t^8.068*y - g3^3*t^8.068*y + (t^8.243*y)/(g2*g3^3) + (t^8.243*y)/(g2^2*g3^2) + (t^8.243*y)/(g2^3*g3)

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
79689	${}M_{1}S_{1}S_{2}$ + ${ }M_{2}q_{1}q_{2}$ + ${ }M_{3}S_{1}^{2}$ + ${ }M_{4}S_{2}^{2}$ + ${ }M_{1}M_{2}$	2.262	2.462	0.9188	[X:[], M:[0.8, 1.2, 0.8, 0.8], q:[0.4, 0.4], qb:[], phi:[], S:[0.6, 0.6], Sb:[], A:[], Ab:[]]	3*t^2.4 + t^3.6 + 6*t^4.2 + 6*t^4.8 + 2*t^6. - (2*t^4.8)/y - 2*t^4.8*y	detail	{a: 1131/500, c: 1231/500, M1: 4/5, M2: 6/5, M3: 4/5, M4: 4/5, q1: 2/5, q2: 2/5, S1: 3/5, S2: 3/5}
79693	${}M_{1}S_{1}S_{2}$ + ${ }M_{2}q_{1}q_{2}$ + ${ }M_{3}S_{1}^{2}$ + ${ }M_{4}S_{2}^{2}$ + ${ }M_{3}^{2}$	2.4086	2.5528	0.9435	[X:[], M:[0.8813, 0.7124, 1.0, 0.7625], q:[0.6438, 0.6438], qb:[], phi:[], S:[0.5, 0.6187], Sb:[], A:[], Ab:[]]	t^2.137 + t^2.288 + t^2.644 + t^3. + t^4.274 + t^4.425 + t^4.575 + t^4.781 + t^4.931 + t^5.137 + 2*t^5.288 + 3*t^5.363 + 3*t^5.719 - 3*t^6. - t^4.5/y - t^4.856/y - t^4.5*y - t^4.856*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
79494	Sp2s2nf1	${}M_{1}S_{1}S_{2}$ + ${ }M_{2}q_{1}q_{2}$ + ${ }M_{3}S_{1}^{2}$	2.4291	2.5709	0.9448	[X:[], M:[0.8751, 0.7492, 0.8546], q:[0.6254, 0.6254], qb:[], phi:[], S:[0.5727, 0.5522], Sb:[], A:[], Ab:[]]	t^2.248 + t^2.564 + t^2.625 + t^3.313 + t^4.495 + t^4.811 + t^4.873 + t^5.127 + t^5.189 + t^5.251 + 3*t^5.409 + 3*t^5.471 + t^5.56 + t^5.877 - 5*t^6. - t^4.656/y - t^4.718/y - t^4.656*y - t^4.718*y	detail