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
2720	SU2adj1nf2	${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}^{4}$ + ${ }M_{2}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$	0.6649	0.8602	0.7729	[M:[1.1253, 0.7495, 0.75, 0.75], q:[0.75, 0.3747], qb:[0.5, 0.3753], phi:[0.5]]	[M:[[1], [-2], [0], [0]], q:[[0], [-1]], qb:[[0], [1]], phi:[[0]]]	1

Relevant Operators	Marginal Operators	$n_{marginal}$$-$$|F_{IR}|$	Superconformal Index	Refined index
${}M_{2}$, ${ }M_{3}$, ${ }M_{4}$, ${ }q_{2}\tilde{q}_{2}$, ${ }\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{2}$, ${ }q_{1}q_{2}$, ${ }M_{1}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{2}^{2}$, ${ }M_{2}M_{3}$, ${ }M_{2}M_{4}$, ${ }M_{2}q_{2}\tilde{q}_{2}$, ${ }M_{3}^{2}$, ${ }M_{3}M_{4}$, ${ }M_{4}^{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{3}q_{2}\tilde{q}_{2}$, ${ }M_{4}q_{2}\tilde{q}_{2}$, ${ }q_{2}^{2}\tilde{q}_{2}^{2}$, ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{4}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{2}\tilde{q}_{1}\tilde{q}_{2}^{2}$, ${ }M_{2}\phi_{1}^{2}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{4}\phi_{1}^{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$, ${ }\tilde{q}_{1}^{2}\tilde{q}_{2}^{2}$, ${ }M_{2}q_{1}q_{2}$, ${ }M_{1}M_{2}$, ${ }M_{3}q_{1}q_{2}$, ${ }M_{4}q_{1}q_{2}$, ${ }M_{2}q_{1}\tilde{q}_{2}$, ${ }q_{1}q_{2}^{2}\tilde{q}_{2}$, ${ }M_{1}M_{3}$, ${ }M_{1}M_{4}$, ${ }M_{3}q_{1}\tilde{q}_{2}$, ${ }M_{4}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{1}q_{2}\tilde{q}_{2}^{2}$, ${ }M_{2}\phi_{1}q_{2}^{2}$, ${ }M_{3}\phi_{1}q_{2}^{2}$, ${ }M_{4}\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{2}^{3}\tilde{q}_{2}$	${}$	-2	t^2.248 + 3*t^2.25 + t^2.626 + t^3. + t^3.374 + 2*t^3.376 + t^3.748 + t^4.124 + t^4.126 + t^4.497 + 3*t^4.498 + 7*t^4.5 + t^4.874 + 3*t^4.876 + t^5.248 + 3*t^5.25 + t^5.252 + t^5.623 + 4*t^5.624 + 6*t^5.626 + t^5.997 + 2*t^5.998 - 2*t^6. + t^6.002 + t^6.373 + 3*t^6.374 + 2*t^6.376 + t^6.745 + 3*t^6.747 + 8*t^6.748 + 12*t^6.75 + 3*t^6.752 + 2*t^7.123 + 2*t^7.124 + 4*t^7.126 + 2*t^7.497 + 2*t^7.498 + 5*t^7.5 + 3*t^7.502 + t^7.871 + 5*t^7.873 + 7*t^7.874 + 10*t^7.876 + t^7.877 + t^8.245 + 2*t^8.247 + 2*t^8.248 - 7*t^8.25 + 3*t^8.252 + t^8.621 + 3*t^8.623 + 4*t^8.624 + t^8.626 + t^8.627 + t^8.994 + 3*t^8.995 + 8*t^8.997 + 13*t^8.998 - t^4.5/y - t^6.748/y - (2*t^6.75)/y + t^7.124/y + (3*t^7.498)/y + (3*t^7.5)/y + t^7.874/y + (2*t^7.876)/y + t^8.248/y + (5*t^8.25)/y + t^8.252/y + t^8.623/y + (5*t^8.624)/y + (7*t^8.626)/y + t^8.998/y - t^4.5*y - t^6.748*y - 2*t^6.75*y + t^7.124*y + 3*t^7.498*y + 3*t^7.5*y + t^7.874*y + 2*t^7.876*y + t^8.248*y + 5*t^8.25*y + t^8.252*y + t^8.623*y + 5*t^8.624*y + 7*t^8.626*y + t^8.998*y	t^2.248/g1^2 + 3*t^2.25 + g1*t^2.626 + t^3. + t^3.374/g1 + 2*g1*t^3.376 + t^3.748/g1^2 + t^4.124/g1 + g1*t^4.126 + t^4.497/g1^4 + (3*t^4.498)/g1^2 + 7*t^4.5 + t^4.874/g1 + 3*g1*t^4.876 + t^5.248/g1^2 + 3*t^5.25 + g1^2*t^5.252 + t^5.623/g1^3 + (4*t^5.624)/g1 + 6*g1*t^5.626 + t^5.997/g1^4 + (2*t^5.998)/g1^2 - 2*t^6. + g1^2*t^6.002 + t^6.373/g1^3 + (3*t^6.374)/g1 + 2*g1*t^6.376 + t^6.745/g1^6 + (3*t^6.747)/g1^4 + (8*t^6.748)/g1^2 + 12*t^6.75 + 3*g1^2*t^6.752 + (2*t^7.123)/g1^3 + (2*t^7.124)/g1 + 4*g1*t^7.126 + (2*t^7.497)/g1^4 + (2*t^7.498)/g1^2 + 5*t^7.5 + 3*g1^2*t^7.502 + t^7.871/g1^5 + (5*t^7.873)/g1^3 + (7*t^7.874)/g1 + 10*g1*t^7.876 + g1^3*t^7.877 + t^8.245/g1^6 + (2*t^8.247)/g1^4 + (2*t^8.248)/g1^2 - 7*t^8.25 + 3*g1^2*t^8.252 + t^8.621/g1^5 + (3*t^8.623)/g1^3 + (4*t^8.624)/g1 + g1*t^8.626 + g1^3*t^8.627 + t^8.994/g1^8 + (3*t^8.995)/g1^6 + (8*t^8.997)/g1^4 + (13*t^8.998)/g1^2 - t^4.5/y - t^6.748/(g1^2*y) - (2*t^6.75)/y + t^7.124/(g1*y) + (3*t^7.498)/(g1^2*y) + (3*t^7.5)/y + t^7.874/(g1*y) + (2*g1*t^7.876)/y + t^8.248/(g1^2*y) + (5*t^8.25)/y + (g1^2*t^8.252)/y + t^8.623/(g1^3*y) + (5*t^8.624)/(g1*y) + (7*g1*t^8.626)/y + t^8.998/(g1^2*y) - t^4.5*y - (t^6.748*y)/g1^2 - 2*t^6.75*y + (t^7.124*y)/g1 + (3*t^7.498*y)/g1^2 + 3*t^7.5*y + (t^7.874*y)/g1 + 2*g1*t^7.876*y + (t^8.248*y)/g1^2 + 5*t^8.25*y + g1^2*t^8.252*y + (t^8.623*y)/g1^3 + (5*t^8.624*y)/g1 + 7*g1*t^8.626*y + (t^8.998*y)/g1^2

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
3235	${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}^{4}$ + ${ }M_{2}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{5}\phi_{1}q_{2}^{2}$	0.6843	0.896	0.7638	[M:[1.1141, 0.7718, 0.75, 0.75, 0.7282], q:[0.75, 0.3859], qb:[0.5, 0.3641], phi:[0.5]]	t^2.185 + 3*t^2.25 + t^2.315 + t^2.592 + t^3. + 2*t^3.342 + t^3.408 + t^4.092 + t^4.158 + t^4.369 + 3*t^4.435 + 8*t^4.5 + 3*t^4.565 + t^4.631 + t^4.777 + 3*t^4.842 + t^4.908 + 2*t^5.185 + 3*t^5.25 + t^5.315 + 2*t^5.527 + 7*t^5.592 + 4*t^5.658 + t^5.723 + t^5.935 - 2*t^6. - t^4.5/y - t^4.5*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
1718	SU2adj1nf2	${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}^{4}$ + ${ }M_{2}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$	0.6458	0.8255	0.7823	[M:[1.1253, 0.7495, 0.75], q:[0.75, 0.3747], qb:[0.5, 0.3753], phi:[0.5]]	t^2.248 + 2*t^2.25 + t^2.626 + t^3. + t^3.374 + 2*t^3.376 + t^3.748 + t^3.75 + t^4.124 + t^4.126 + t^4.497 + 2*t^4.498 + 4*t^4.5 + t^4.874 + 2*t^4.876 + t^5.248 + 2*t^5.25 + t^5.252 + t^5.623 + 3*t^5.624 + 4*t^5.626 + t^5.997 + 2*t^5.998 - t^4.5/y - t^4.5*y	detail