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
63	SU2adj1nf2	${}\phi_{1}q_{1}^{2}$ + ${ }\phi_{1}q_{2}^{2}$ + ${ }M_{1}\phi_{1}\tilde{q}_{1}^{2}$	0.6281	0.7582	0.8284	[M:[0.6941], q:[0.8224, 0.8224], qb:[0.4753, 0.4589], phi:[0.3553]]	[M:[[-10, 2]], q:[[1, 1], [1, 1]], qb:[[6, 0], [0, 6]], phi:[[-2, -2]]]	2

Relevant Operators	Marginal Operators	$n_{marginal}$$-$$|F_{IR}|$	Superconformal Index	Refined index
${}M_{1}$, ${ }\phi_{1}^{2}$, ${ }\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }q_{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{1}\tilde{q}_{1}$, ${ }q_{2}\tilde{q}_{1}$, ${ }M_{1}^{2}$, ${ }M_{1}\phi_{1}^{2}$, ${ }\phi_{1}^{4}$, ${ }M_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{1}q_{2}$, ${ }\phi_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\tilde{q}_{1}^{2}\tilde{q}_{2}^{2}$, ${ }M_{1}\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{1}q_{1}\tilde{q}_{2}$, ${ }M_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}^{3}\tilde{q}_{2}^{2}$, ${ }M_{1}q_{1}\tilde{q}_{1}$, ${ }M_{1}q_{2}\tilde{q}_{1}$	${}\phi_{1}^{3}\tilde{q}_{1}\tilde{q}_{2}$	-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	(g2^2*t^2.082)/g1^10 + t^2.132/(g1^4*g2^4) + g1^6*g2^6*t^2.803 + (g2^10*t^3.819)/g1^2 + 2*g1*g2^7*t^3.844 + g1^4*g2^4*t^3.868 + 2*g1^7*g2*t^3.893 + (g2^4*t^4.165)/g1^20 + t^4.214/(g1^14*g2^2) + t^4.263/(g1^8*g2^8) + (g2^8*t^4.885)/g1^4 + 2*g1^2*g2^2*t^4.934 + g1^12*g2^12*t^5.605 + (g2^12*t^5.901)/g1^12 + (2*g2^9*t^5.926)/g1^9 + (g2^6*t^5.951)/g1^6 + (2*g2^3*t^5.975)/g1^3 - 2*t^6. - (g1^6*t^6.049)/g2^6 + (g2^6*t^6.247)/g1^30 + t^6.296/g1^24 + t^6.346/(g1^18*g2^6) + t^6.395/(g1^12*g2^12) + g1^4*g2^16*t^6.622 + 2*g1^7*g2^13*t^6.646 + g1^10*g2^10*t^6.671 + 2*g1^13*g2^7*t^6.696 + (g2^10*t^6.967)/g1^14 + (g2^4*t^7.016)/g1^8 - (2*g2*t^7.041)/g1^5 - (2*g1*t^7.091)/g2^5 - (g1^4*t^7.115)/g2^8 + (g2^20*t^7.638)/g1^4 + (2*g2^17*t^7.663)/g1 + 4*g1^2*g2^14*t^7.687 + 2*g1^5*g2^11*t^7.712 + 4*g1^8*g2^8*t^7.737 + 2*g1^14*g2^2*t^7.786 + (g2^14*t^7.984)/g1^22 + (2*g2^11*t^8.008)/g1^19 + (g2^8*t^8.033)/g1^16 + (2*g2^5*t^8.058)/g1^13 - (2*g2^2*t^8.082)/g1^10 - (2*t^8.132)/(g1^4*g2^4) - (g1^2*t^8.181)/g2^10 + (g2^8*t^8.329)/g1^40 + (g2^2*t^8.379)/g1^34 + g1^18*g2^18*t^8.408 + t^8.428/(g1^28*g2^4) + t^8.477/(g1^22*g2^10) + t^8.527/(g1^16*g2^16) + (g2^18*t^8.704)/g1^6 + (2*g2^15*t^8.728)/g1^3 + g2^12*t^8.753 + 2*g1^3*g2^9*t^8.778 - 3*g1^6*g2^6*t^8.803 - 2*g1^12*t^8.852 - t^4.066/(g1^2*g2^2*y) - t^6.148/(g1^12*y) - t^6.197/(g1^6*g2^6*y) + t^7.214/(g1^14*g2^2*y) + (g2^8*t^7.885)/(g1^4*y) + (2*g1^2*g2^2*t^7.934)/y + (g1^8*t^7.984)/(g2^4*y) - (g2^2*t^8.23)/(g1^22*y) - t^8.28/(g1^16*g2^4*y) - t^8.329/(g1^10*g2^10*y) + (g2^12*t^8.901)/(g1^12*y) + (2*g2^9*t^8.926)/(g1^9*y) + (2*g2^6*t^8.951)/(g1^6*y) + (4*g2^3*t^8.975)/(g1^3*y) - (t^4.066*y)/(g1^2*g2^2) - (t^6.148*y)/g1^12 - (t^6.197*y)/(g1^6*g2^6) + (t^7.214*y)/(g1^14*g2^2) + (g2^8*t^7.885*y)/g1^4 + 2*g1^2*g2^2*t^7.934*y + (g1^8*t^7.984*y)/g2^4 - (g2^2*t^8.23*y)/g1^22 - (t^8.28*y)/(g1^16*g2^4) - (t^8.329*y)/(g1^10*g2^10) + (g2^12*t^8.901*y)/g1^12 + (2*g2^9*t^8.926*y)/g1^9 + (2*g2^6*t^8.951*y)/g1^6 + (4*g2^3*t^8.975*y)/g1^3

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
96	${}\phi_{1}q_{1}^{2}$ + ${ }\phi_{1}q_{2}^{2}$ + ${ }M_{1}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{1}^{2}$	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
97	${}\phi_{1}q_{1}^{2}$ + ${ }\phi_{1}q_{2}^{2}$ + ${ }M_{1}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{2}\phi_{1}\tilde{q}_{2}^{2}$	0.6484	0.7953	0.8152	[M:[0.7026, 0.7026], q:[0.8244, 0.8244], qb:[0.4731, 0.4731], phi:[0.3513]]	3*t^2.108 + t^2.839 + 5*t^3.892 + 6*t^4.215 + 4*t^4.946 + t^5.677 + 6*t^6. - t^4.054/y - t^4.054*y	detail
95	${}\phi_{1}q_{1}^{2}$ + ${ }\phi_{1}q_{2}^{2}$ + ${ }M_{1}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }\phi_{1}^{2}X_{1}$	0.4583	0.5	0.9167	[X:[1.5556], M:[0.8889], q:[0.8889, 0.8889], qb:[0.4444, 0.8889], phi:[0.2222]]	t^2.667 + 3*t^4. + t^4.667 + t^5.333 - 4*t^6. - t^3.667/y - t^3.667*y	detail	{a: 11/24, c: 1/2, X1: 14/9, M1: 8/9, q1: 8/9, q2: 8/9, qb1: 4/9, qb2: 8/9, phi1: 2/9}

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
43	SU2adj1nf2	${}\phi_{1}q_{1}^{2}$ + ${ }\phi_{1}q_{2}^{2}$	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