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
45833	SU2adj1nf2	${}\phi_{1}q_{1}q_{2}$ + ${ }M_{1}\phi_{1}\tilde{q}_{1}^{2}$	0.6281	0.7582	0.8284	[M:[0.6941], q:[0.8224, 0.8224], qb:[0.4753, 0.4589], phi:[0.3553]]	[M:[[0, -5, 1]], q:[[-1, 1, 1], [1, 0, 0]], qb:[[0, 3, 0], [0, 0, 3]], phi:[[0, -1, -1]]]	3

Relevant Operators	Marginal Operators	$n_{marginal}$$-$$|F_{IR}|$	Superconformal Index	Refined index
${}M_{1}$, ${ }\phi_{1}^{2}$, ${ }\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }q_{2}\tilde{q}_{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{2}\tilde{q}_{1}$, ${ }q_{1}\tilde{q}_{1}$, ${ }M_{1}^{2}$, ${ }M_{1}\phi_{1}^{2}$, ${ }\phi_{1}^{4}$, ${ }M_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{1}q_{2}$, ${ }\phi_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\tilde{q}_{1}^{2}\tilde{q}_{2}^{2}$, ${ }M_{1}\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{1}q_{2}\tilde{q}_{2}$, ${ }M_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{3}\tilde{q}_{2}^{2}$, ${ }M_{1}q_{2}\tilde{q}_{1}$, ${ }M_{1}q_{1}\tilde{q}_{1}$	${}\phi_{1}^{3}\tilde{q}_{1}\tilde{q}_{2}$	-2	t^2.082 + t^2.132 + t^2.803 + t^3.819 + 2*t^3.844 + t^3.868 + 2*t^3.893 + t^4.165 + t^4.214 + t^4.263 + t^4.885 + 2*t^4.934 + t^5.605 + t^5.901 + 2*t^5.926 + t^5.951 + 2*t^5.975 - 2*t^6. - t^6.049 + t^6.247 + t^6.296 + t^6.346 + t^6.395 + t^6.622 + 2*t^6.646 + t^6.671 + 2*t^6.696 + t^6.967 + t^7.016 - 2*t^7.041 - 2*t^7.091 - t^7.115 + t^7.638 + 2*t^7.663 + 4*t^7.687 + 2*t^7.712 + 4*t^7.737 + 2*t^7.786 + t^7.984 + 2*t^8.008 + t^8.033 + 2*t^8.058 - 2*t^8.082 - 2*t^8.132 - t^8.181 + t^8.329 + t^8.379 + t^8.408 + t^8.428 + t^8.477 + t^8.527 + t^8.704 + 2*t^8.728 + t^8.753 + 2*t^8.778 - 3*t^8.803 - 2*t^8.852 - t^4.066/y - t^6.148/y - t^6.197/y + t^7.214/y + t^7.885/y + (2*t^7.934)/y + t^7.984/y - t^8.23/y - t^8.28/y - t^8.329/y + t^8.901/y + (2*t^8.926)/y + (2*t^8.951)/y + (4*t^8.975)/y - t^4.066*y - t^6.148*y - t^6.197*y + t^7.214*y + t^7.885*y + 2*t^7.934*y + t^7.984*y - t^8.23*y - t^8.28*y - t^8.329*y + t^8.901*y + 2*t^8.926*y + 2*t^8.951*y + 4*t^8.975*y	(g3*t^2.082)/g2^5 + t^2.132/(g2^2*g3^2) + g2^3*g3^3*t^2.803 + (g3^5*t^3.819)/g2 + g1*g3^3*t^3.844 + (g2*g3^4*t^3.844)/g1 + g2^2*g3^2*t^3.868 + g1*g2^3*t^3.893 + (g2^4*g3*t^3.893)/g1 + (g3^2*t^4.165)/g2^10 + t^4.214/(g2^7*g3) + t^4.263/(g2^4*g3^4) + (g3^4*t^4.885)/g2^2 + 2*g2*g3*t^4.934 + g2^6*g3^6*t^5.605 + (g3^6*t^5.901)/g2^6 + (g1*g3^4*t^5.926)/g2^5 + (g3^5*t^5.926)/(g1*g2^4) + (g3^3*t^5.951)/g2^3 + (g1*g3*t^5.975)/g2^2 + (g3^2*t^5.975)/(g1*g2) - 2*t^6. - (g2^3*t^6.049)/g3^3 + (g3^3*t^6.247)/g2^15 + t^6.296/g2^12 + t^6.346/(g2^9*g3^3) + t^6.395/(g2^6*g3^6) + g2^2*g3^8*t^6.622 + g1*g2^3*g3^6*t^6.646 + (g2^4*g3^7*t^6.646)/g1 + g2^5*g3^5*t^6.671 + g1*g2^6*g3^3*t^6.696 + (g2^7*g3^4*t^6.696)/g1 + (g3^5*t^6.967)/g2^7 + (g3^2*t^7.016)/g2^4 - (g1*t^7.041)/g2^3 - (g3*t^7.041)/(g1*g2^2) - (g1*t^7.091)/g3^3 - (g2*t^7.091)/(g1*g3^2) - (g2^2*t^7.115)/g3^4 + (g3^10*t^7.638)/g2^2 + (g1*g3^8*t^7.663)/g2 + (g3^9*t^7.663)/g1 + g1^2*g3^6*t^7.687 + 2*g2*g3^7*t^7.687 + (g2^2*g3^8*t^7.687)/g1^2 + g1*g2^2*g3^5*t^7.712 + (g2^3*g3^6*t^7.712)/g1 + g1^2*g2^3*g3^3*t^7.737 + 2*g2^4*g3^4*t^7.737 + (g2^5*g3^5*t^7.737)/g1^2 + g1^2*g2^6*t^7.786 + (g2^8*g3^2*t^7.786)/g1^2 + (g3^7*t^7.984)/g2^11 + (g1*g3^5*t^8.008)/g2^10 + (g3^6*t^8.008)/(g1*g2^9) + (g3^4*t^8.033)/g2^8 + (g1*g3^2*t^8.058)/g2^7 + (g3^3*t^8.058)/(g1*g2^6) - (2*g3*t^8.082)/g2^5 - (2*t^8.132)/(g2^2*g3^2) - (g2*t^8.181)/g3^5 + (g3^4*t^8.329)/g2^20 + (g3*t^8.379)/g2^17 + g2^9*g3^9*t^8.408 + t^8.428/(g2^14*g3^2) + t^8.477/(g2^11*g3^5) + t^8.527/(g2^8*g3^8) + (g3^9*t^8.704)/g2^3 + (g1*g3^7*t^8.728)/g2^2 + (g3^8*t^8.728)/(g1*g2) + g3^6*t^8.753 + g1*g2*g3^4*t^8.778 + (g2^2*g3^5*t^8.778)/g1 - 3*g2^3*g3^3*t^8.803 - 2*g2^6*t^8.852 - t^4.066/(g2*g3*y) - t^6.148/(g2^6*y) - t^6.197/(g2^3*g3^3*y) + t^7.214/(g2^7*g3*y) + (g3^4*t^7.885)/(g2^2*y) + (2*g2*g3*t^7.934)/y + (g2^4*t^7.984)/(g3^2*y) - (g3*t^8.23)/(g2^11*y) - t^8.28/(g2^8*g3^2*y) - t^8.329/(g2^5*g3^5*y) + (g3^6*t^8.901)/(g2^6*y) + (g1*g3^4*t^8.926)/(g2^5*y) + (g3^5*t^8.926)/(g1*g2^4*y) + (2*g3^3*t^8.951)/(g2^3*y) + (2*g1*g3*t^8.975)/(g2^2*y) + (2*g3^2*t^8.975)/(g1*g2*y) - (t^4.066*y)/(g2*g3) - (t^6.148*y)/g2^6 - (t^6.197*y)/(g2^3*g3^3) + (t^7.214*y)/(g2^7*g3) + (g3^4*t^7.885*y)/g2^2 + 2*g2*g3*t^7.934*y + (g2^4*t^7.984*y)/g3^2 - (g3*t^8.23*y)/g2^11 - (t^8.28*y)/(g2^8*g3^2) - (t^8.329*y)/(g2^5*g3^5) + (g3^6*t^8.901*y)/g2^6 + (g1*g3^4*t^8.926*y)/g2^5 + (g3^5*t^8.926*y)/(g1*g2^4) + (2*g3^3*t^8.951*y)/g2^3 + (2*g1*g3*t^8.975*y)/g2^2 + (2*g3^2*t^8.975*y)/(g1*g2)

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
45844	${}\phi_{1}q_{1}q_{2}$ + ${ }M_{1}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$	0.6281	0.758	0.8286	[M:[0.6967], q:[0.8158, 0.8292], qb:[0.4741, 0.4607], phi:[0.3551]]	t^2.09 + t^2.13 + t^2.805 + 2*t^3.829 + 3*t^3.87 + t^3.91 + t^4.18 + t^4.22 + t^4.261 + t^4.895 + 2*t^4.935 + t^5.609 + 2*t^5.919 + 3*t^5.96 - t^6. - t^4.065/y - t^4.065*y	detail
45856	${}\phi_{1}q_{1}q_{2}$ + ${ }M_{1}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{1}^{2}$	0.5776	0.6992	0.8261	[M:[1.0], q:[0.8055, 0.8055], qb:[0.3055, 0.5273], phi:[0.3891]]	t^2.334 + t^2.498 + t^3. + 2*t^3.333 + t^3.666 + 2*t^3.998 + t^4.331 + t^4.669 + 2*t^4.833 + t^4.997 + t^5.498 + 2*t^5.831 - t^6. - t^4.167/y - t^4.167*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
39	SU2adj1nf2	${}\phi_{1}q_{1}q_{2}$	0.6076	0.7195	0.8446	[q:[0.8211, 0.8211], qb:[0.4632, 0.4632], phi:[0.3578]]	t^2.147 + t^2.779 + 7*t^3.853 + t^4.294 + 2*t^4.926 + t^5.559 - 2*t^6. - t^4.074/y - t^4.074*y	detail