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
827	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }\phi_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{2}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{1}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ + ${ }M_{6}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}M_{7}$	0.791	0.9858	0.8024	[M:[0.7646, 0.7921, 0.7371, 0.7646, 0.7646, 0.7646, 1.2079], q:[0.604, 0.6314], qb:[0.604, 0.6314], phi:[0.3823]]	[M:[[0, -2, -2], [1, -4, -2], [-1, 0, -2], [-1, -2, 0], [1, -2, -4], [0, -2, -2], [-1, 4, 2]], q:[[-1, 2, 2], [1, 0, 0]], qb:[[0, 2, 0], [0, 0, 2]], phi:[[0, -1, -1]]]	3

Relevant Operators	Marginal Operators	$n_{marginal}$$-$$|F_{IR}|$	Superconformal Index	Refined index
${}M_{3}$, ${ }M_{4}$, ${ }M_{5}$, ${ }M_{1}$, ${ }M_{6}$, ${ }\phi_{1}^{2}$, ${ }M_{7}$, ${ }M_{3}^{2}$, ${ }M_{3}M_{5}$, ${ }M_{1}M_{3}$, ${ }M_{3}M_{6}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{3}M_{4}$, ${ }M_{4}^{2}$, ${ }M_{5}^{2}$, ${ }M_{1}M_{5}$, ${ }M_{5}M_{6}$, ${ }M_{5}\phi_{1}^{2}$, ${ }M_{1}^{2}$, ${ }M_{4}M_{5}$, ${ }M_{1}M_{6}$, ${ }M_{6}^{2}$, ${ }M_{1}\phi_{1}^{2}$, ${ }M_{6}\phi_{1}^{2}$, ${ }\phi_{1}^{4}$, ${ }M_{1}M_{4}$, ${ }M_{4}M_{6}$, ${ }M_{4}\phi_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{3}M_{7}$, ${ }M_{1}M_{7}$, ${ }M_{6}M_{7}$, ${ }M_{7}\phi_{1}^{2}$	${}$	-8	t^2.211 + 5*t^2.294 + t^3.624 + t^4.423 + 5*t^4.505 + 15*t^4.588 + 3*t^4.771 + 4*t^4.853 + 3*t^4.936 + t^5.835 + t^5.918 - 8*t^6. - 4*t^6.082 + t^6.634 + 5*t^6.716 + 15*t^6.799 + 35*t^6.881 + 3*t^6.982 + 15*t^7.064 + 16*t^7.147 + 11*t^7.229 + t^7.248 - t^7.412 + t^8.047 + t^8.129 - 10*t^8.211 - 40*t^8.294 - 17*t^8.376 + 3*t^8.395 - 3*t^8.477 - 8*t^8.559 - 7*t^8.642 + t^8.845 + 5*t^8.928 - t^4.147/y - t^6.358/y - (5*t^6.441)/y + (5*t^7.505)/y + (10*t^7.588)/y + (5*t^7.853)/y + t^7.936/y - t^8.57/y - (5*t^8.652)/y - (15*t^8.734)/y + t^8.835/y + (5*t^8.918)/y - t^4.147*y - t^6.358*y - 5*t^6.441*y + 5*t^7.505*y + 10*t^7.588*y + 5*t^7.853*y + t^7.936*y - t^8.57*y - 5*t^8.652*y - 15*t^8.734*y + t^8.835*y + 5*t^8.918*y	t^2.211/(g1*g3^2) + t^2.294/(g1*g2^2) + (g1*t^2.294)/(g2^2*g3^4) + (3*t^2.294)/(g2^2*g3^2) + (g2^4*g3^2*t^3.624)/g1 + t^4.423/(g1^2*g3^4) + t^4.505/(g2^2*g3^6) + (3*t^4.505)/(g1*g2^2*g3^4) + t^4.505/(g1^2*g2^2*g3^2) + t^4.588/(g1^2*g2^4) + (g1^2*t^4.588)/(g2^4*g3^8) + (3*g1*t^4.588)/(g2^4*g3^6) + (7*t^4.588)/(g2^4*g3^4) + (3*t^4.588)/(g1*g2^4*g3^2) + (g2^3*t^4.771)/g3 + (g2^3*g3*t^4.771)/g1 + (g2^3*g3^3*t^4.771)/g1^2 + (g1*g2*t^4.853)/g3 + 2*g2*g3*t^4.853 + (g2*g3^3*t^4.853)/g1 + (g1^2*t^4.936)/(g2*g3) + (g1*g3*t^4.936)/g2 + (g3^3*t^4.936)/g2 + (g2^4*t^5.835)/g1^2 + (g2^2*t^5.918)/g1 - 4*t^6. - (2*g1*t^6.)/g3^2 - (2*g3^2*t^6.)/g1 - (2*g1*t^6.082)/g2^2 - (g1^2*t^6.082)/(g2^2*g3^2) - (g3^2*t^6.082)/g2^2 + t^6.634/(g1^3*g3^6) + t^6.716/(g1*g2^2*g3^8) + (3*t^6.716)/(g1^2*g2^2*g3^6) + t^6.716/(g1^3*g2^2*g3^4) + (g1*t^6.799)/(g2^4*g3^10) + (3*t^6.799)/(g2^4*g3^8) + (7*t^6.799)/(g1*g2^4*g3^6) + (3*t^6.799)/(g1^2*g2^4*g3^4) + t^6.799/(g1^3*g2^4*g3^2) + t^6.881/(g1^3*g2^6) + (g1^3*t^6.881)/(g2^6*g3^12) + (3*g1^2*t^6.881)/(g2^6*g3^10) + (7*g1*t^6.881)/(g2^6*g3^8) + (13*t^6.881)/(g2^6*g3^6) + (7*t^6.881)/(g1*g2^6*g3^4) + (3*t^6.881)/(g1^2*g2^6*g3^2) + (g2^3*t^6.982)/(g1*g3^3) + (g2^3*t^6.982)/(g1^2*g3) + (g2^3*g3*t^6.982)/g1^3 + (g1*g2*t^7.064)/g3^5 + (4*g2*t^7.064)/g3^3 + (5*g2*t^7.064)/(g1*g3) + (4*g2*g3*t^7.064)/g1^2 + (g2*g3^3*t^7.064)/g1^3 + (g1^2*t^7.147)/(g2*g3^5) + (4*g1*t^7.147)/(g2*g3^3) + (6*t^7.147)/(g2*g3) + (4*g3*t^7.147)/(g1*g2) + (g3^3*t^7.147)/(g1^2*g2) + (g1^3*t^7.229)/(g2^3*g3^5) + (3*g1^2*t^7.229)/(g2^3*g3^3) + (3*g1*t^7.229)/(g2^3*g3) + (3*g3*t^7.229)/g2^3 + (g3^3*t^7.229)/(g1*g2^3) + (g2^8*g3^4*t^7.248)/g1^2 - g2^4*g3^4*t^7.412 + (g2^4*t^8.047)/(g1^3*g3^2) + (g2^2*t^8.129)/(g1^2*g3^2) - (3*t^8.211)/g1^2 - (3*t^8.211)/g3^4 - (4*t^8.211)/(g1*g3^2) - (10*t^8.294)/(g1*g2^2) - (2*g1^2*t^8.294)/(g2^2*g3^6) - (10*g1*t^8.294)/(g2^2*g3^4) - (16*t^8.294)/(g2^2*g3^2) - (2*g3^2*t^8.294)/(g1^2*g2^2) - (4*t^8.376)/g2^4 - (g1^3*t^8.376)/(g2^4*g3^6) - (4*g1^2*t^8.376)/(g2^4*g3^4) - (7*g1*t^8.376)/(g2^4*g3^2) - (g3^2*t^8.376)/(g1*g2^4) + (g2^7*g3*t^8.395)/g1 + (g2^7*g3^3*t^8.395)/g1^2 + (g2^7*g3^5*t^8.395)/g1^3 - g2^5*g3*t^8.477 - (g2^5*g3^3*t^8.477)/g1 - (g2^5*g3^5*t^8.477)/g1^2 - 2*g1*g2^3*g3*t^8.559 - 4*g2^3*g3^3*t^8.559 - (2*g2^3*g3^5*t^8.559)/g1 - 2*g1^2*g2*g3*t^8.642 - 3*g1*g2*g3^3*t^8.642 - 2*g2*g3^5*t^8.642 + t^8.845/(g1^4*g3^8) + t^8.928/(g1^2*g2^2*g3^10) + (3*t^8.928)/(g1^3*g2^2*g3^8) + t^8.928/(g1^4*g2^2*g3^6) - t^4.147/(g2*g3*y) - t^6.358/(g1*g2*g3^3*y) - (g1*t^6.441)/(g2^3*g3^5*y) - (3*t^6.441)/(g2^3*g3^3*y) - t^6.441/(g1*g2^3*g3*y) + t^7.505/(g2^2*g3^6*y) + (3*t^7.505)/(g1*g2^2*g3^4*y) + t^7.505/(g1^2*g2^2*g3^2*y) + (3*g1*t^7.588)/(g2^4*g3^6*y) + (4*t^7.588)/(g2^4*g3^4*y) + (3*t^7.588)/(g1*g2^4*g3^2*y) + (g1*g2*t^7.853)/(g3*y) + (3*g2*g3*t^7.853)/y + (g2*g3^3*t^7.853)/(g1*y) + (g1*g3*t^7.936)/(g2*y) - t^8.57/(g1^2*g2*g3^5*y) - t^8.652/(g2^3*g3^7*y) - (3*t^8.652)/(g1*g2^3*g3^5*y) - t^8.652/(g1^2*g2^3*g3^3*y) - (g1^2*t^8.734)/(g2^5*g3^9*y) - (3*g1*t^8.734)/(g2^5*g3^7*y) - (7*t^8.734)/(g2^5*g3^5*y) - (3*t^8.734)/(g1*g2^5*g3^3*y) - t^8.734/(g1^2*g2^5*g3*y) + (g2^4*t^8.835)/(g1^2*y) + (3*g2^2*t^8.918)/(g1*y) + (g2^2*t^8.918)/(g3^2*y) + (g2^2*g3^2*t^8.918)/(g1^2*y) - (t^4.147*y)/(g2*g3) - (t^6.358*y)/(g1*g2*g3^3) - (g1*t^6.441*y)/(g2^3*g3^5) - (3*t^6.441*y)/(g2^3*g3^3) - (t^6.441*y)/(g1*g2^3*g3) + (t^7.505*y)/(g2^2*g3^6) + (3*t^7.505*y)/(g1*g2^2*g3^4) + (t^7.505*y)/(g1^2*g2^2*g3^2) + (3*g1*t^7.588*y)/(g2^4*g3^6) + (4*t^7.588*y)/(g2^4*g3^4) + (3*t^7.588*y)/(g1*g2^4*g3^2) + (g1*g2*t^7.853*y)/g3 + 3*g2*g3*t^7.853*y + (g2*g3^3*t^7.853*y)/g1 + (g1*g3*t^7.936*y)/g2 - (t^8.57*y)/(g1^2*g2*g3^5) - (t^8.652*y)/(g2^3*g3^7) - (3*t^8.652*y)/(g1*g2^3*g3^5) - (t^8.652*y)/(g1^2*g2^3*g3^3) - (g1^2*t^8.734*y)/(g2^5*g3^9) - (3*g1*t^8.734*y)/(g2^5*g3^7) - (7*t^8.734*y)/(g2^5*g3^5) - (3*t^8.734*y)/(g1*g2^5*g3^3) - (t^8.734*y)/(g1^2*g2^5*g3) + (g2^4*t^8.835*y)/g1^2 + (3*g2^2*t^8.918*y)/g1 + (g2^2*t^8.918*y)/g3^2 + (g2^2*g3^2*t^8.918*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
1303	${}M_{1}q_{1}q_{2}$ + ${ }\phi_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{2}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{1}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ + ${ }M_{6}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}M_{7}$ + ${ }M_{4}M_{8}$	0.7737	0.9544	0.8107	[M:[0.7809, 0.812, 0.7498, 0.812, 0.7498, 0.7809, 1.188, 1.188], q:[0.6095, 0.6095], qb:[0.5785, 0.6406], phi:[0.3905]]	2*t^2.25 + 3*t^2.343 + 2*t^3.564 + 3*t^4.499 + 6*t^4.592 + t^4.642 + 6*t^4.686 + 2*t^4.735 + 4*t^4.829 + 2*t^4.922 + t^5.015 + 3*t^5.814 + 2*t^5.907 - 6*t^6. - t^4.171/y - t^4.171*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
530	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }\phi_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{2}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{1}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ + ${ }M_{6}\tilde{q}_{1}\tilde{q}_{2}$	0.8092	1.0197	0.7935	[M:[0.7518, 0.7518, 0.7518, 0.7518, 0.7518, 0.7518], q:[0.6241, 0.6241], qb:[0.6241, 0.6241], phi:[0.3759]]	7*t^2.255 + 28*t^4.511 + 10*t^4.872 - 16*t^6. - t^4.128/y - t^4.128*y	detail