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
3845	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }M_{4}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ + ${ }M_{4}M_{5}$ + ${ }M_{1}X_{1}$ + ${ }M_{4}M_{6}$ + ${ }M_{7}q_{2}\tilde{q}_{2}$	0.5943	0.7313	0.8126	[X:[1.4327], M:[0.5673, 1.1442, 0.7596, 1.0481, 0.9519, 0.9519, 1.0913], q:[0.7861, 0.6467], qb:[0.5937, 0.262], phi:[0.4279]]	[X:[[36]], M:[[-36], [12], [-20], [4], [-4], [-4], [-34]], q:[[3], [33]], qb:[[-13], [1]], phi:[[-6]]]	1

Relevant Operators	Marginal Operators	$n_{marginal}$$-$$|F_{IR}|$	Superconformal Index	Refined index
${}M_{3}$, ${ }\phi_{1}^{2}$, ${ }M_{5}$, ${ }M_{6}$, ${ }M_{7}$, ${ }M_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }q_{1}\tilde{q}_{1}$, ${ }X_{1}$, ${ }M_{3}^{2}$, ${ }M_{3}\phi_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{3}M_{5}$, ${ }M_{3}M_{6}$, ${ }\phi_{1}^{4}$, ${ }\phi_{1}q_{2}^{2}$, ${ }M_{5}\phi_{1}^{2}$, ${ }M_{6}\phi_{1}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{3}M_{7}$, ${ }M_{2}M_{3}$, ${ }M_{5}^{2}$, ${ }M_{5}M_{6}$, ${ }M_{6}^{2}$	${}$	-2	t^2.279 + t^2.567 + 2*t^2.856 + t^3.274 + t^3.433 + t^3.851 + t^4.01 + t^4.139 + t^4.298 + t^4.558 + t^4.846 + 3*t^5.135 + t^5.164 + 2*t^5.423 + t^5.553 + 3*t^5.712 - 2*t^6. + 2*t^6.13 - t^6.159 + t^6.288 + t^6.418 + t^6.548 + 3*t^6.707 + t^6.836 + 2*t^6.865 + t^7.125 - t^7.284 + 4*t^7.413 + 3*t^7.702 + t^7.731 + t^7.832 - t^7.861 + 5*t^7.99 + 2*t^8.019 + t^8.12 + 2*t^8.409 + t^8.567 + t^8.596 + t^8.697 - t^8.726 + t^8.827 - 6*t^8.856 + 5*t^8.986 - t^4.284/y - t^6.562/y + t^7.01/y - t^7.139/y + t^7.428/y - t^7.558/y + t^7.846/y + t^8.005/y + (2*t^8.135)/y + (2*t^8.423)/y + t^8.553/y + (2*t^8.712)/y - t^4.284*y - t^6.562*y + t^7.01*y - t^7.139*y + t^7.428*y - t^7.558*y + t^7.846*y + t^8.005*y + 2*t^8.135*y + 2*t^8.423*y + t^8.553*y + 2*t^8.712*y	t^2.279/g1^20 + t^2.567/g1^12 + (2*t^2.856)/g1^4 + t^3.274/g1^34 + g1^12*t^3.433 + t^3.851/g1^18 + g1^28*t^4.01 + t^4.139/g1^10 + g1^36*t^4.298 + t^4.558/g1^40 + t^4.846/g1^32 + (3*t^5.135)/g1^24 + g1^60*t^5.164 + (2*t^5.423)/g1^16 + t^5.553/g1^54 + (3*t^5.712)/g1^8 - 2*t^6. + (2*t^6.13)/g1^38 - g1^46*t^6.159 + g1^8*t^6.288 + t^6.418/g1^30 + t^6.548/g1^68 + (3*t^6.707)/g1^22 + t^6.836/g1^60 + 2*g1^24*t^6.865 + t^7.125/g1^52 - t^7.284/g1^6 + (4*t^7.413)/g1^44 + (3*t^7.702)/g1^36 + g1^48*t^7.731 + t^7.832/g1^74 - g1^10*t^7.861 + (5*t^7.99)/g1^28 + 2*g1^56*t^8.019 + t^8.12/g1^66 + (2*t^8.409)/g1^58 + t^8.567/g1^12 + g1^72*t^8.596 + t^8.697/g1^50 - g1^34*t^8.726 + t^8.827/g1^88 - (6*t^8.856)/g1^4 + (5*t^8.986)/g1^42 - t^4.284/(g1^6*y) - t^6.562/(g1^26*y) + (g1^28*t^7.01)/y - t^7.139/(g1^10*y) + t^7.428/(g1^2*y) - t^7.558/(g1^40*y) + t^7.846/(g1^32*y) + (g1^14*t^8.005)/y + (2*t^8.135)/(g1^24*y) + (2*t^8.423)/(g1^16*y) + t^8.553/(g1^54*y) + (2*t^8.712)/(g1^8*y) - (t^4.284*y)/g1^6 - (t^6.562*y)/g1^26 + g1^28*t^7.01*y - (t^7.139*y)/g1^10 + (t^7.428*y)/g1^2 - (t^7.558*y)/g1^40 + (t^7.846*y)/g1^32 + g1^14*t^8.005*y + (2*t^8.135*y)/g1^24 + (2*t^8.423*y)/g1^16 + (t^8.553*y)/g1^54 + (2*t^8.712*y)/g1^8

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
5445	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }M_{4}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ + ${ }M_{4}M_{5}$ + ${ }M_{1}X_{1}$ + ${ }M_{4}M_{6}$ + ${ }M_{7}q_{2}\tilde{q}_{2}$ + ${ }M_{2}M_{8}$	0.6072	0.7542	0.8051	[X:[1.453], M:[0.547, 1.151, 0.7483, 1.0503, 0.9497, 0.9497, 1.0721, 0.849], q:[0.7878, 0.6653], qb:[0.5864, 0.2626], phi:[0.4245]]	t^2.245 + 2*t^2.547 + 2*t^2.849 + t^3.216 + t^3.82 + t^4.057 + t^4.122 + t^4.359 + t^4.49 + 2*t^4.792 + 5*t^5.094 + t^5.265 + 4*t^5.396 + t^5.461 + 2*t^5.698 + t^5.763 - 3*t^6. - t^4.273/y - t^4.273*y	detail
5458	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }M_{4}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ + ${ }M_{4}M_{5}$ + ${ }M_{1}X_{1}$ + ${ }M_{4}M_{6}$ + ${ }M_{7}q_{2}\tilde{q}_{2}$ + ${ }M_{3}M_{7}$	0.5881	0.7223	0.8141	[X:[1.3333], M:[0.6667, 1.1111, 0.8148, 1.037, 0.963, 0.963, 1.1852], q:[0.7778, 0.5556], qb:[0.6296, 0.2593], phi:[0.4444]]	t^2.444 + t^2.667 + 2*t^2.889 + t^3.333 + t^3.556 + t^3.778 + 2*t^4. + t^4.222 + t^4.667 + t^4.889 + t^5.111 + 3*t^5.333 + 2*t^5.556 + 2*t^5.778 - t^6. - t^4.333/y - t^4.333*y	detail	{a: 10289/17496, c: 6319/8748, X1: 4/3, M1: 2/3, M2: 10/9, M3: 22/27, M4: 28/27, M5: 26/27, M6: 26/27, M7: 32/27, q1: 7/9, q2: 5/9, qb1: 17/27, qb2: 7/27, phi1: 4/9}

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
3368	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }M_{4}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ + ${ }M_{4}M_{5}$ + ${ }M_{1}X_{1}$ + ${ }M_{4}M_{6}$	0.605	0.7495	0.8072	[X:[1.3754], M:[0.6246, 1.1251, 0.7914, 1.0417, 0.9583, 0.9583], q:[0.7813, 0.5942], qb:[0.6144, 0.2604], phi:[0.4374]]	t^2.374 + t^2.564 + t^2.625 + 2*t^2.875 + t^3.375 + t^3.876 + t^3.937 + t^4.126 + t^4.187 + t^4.749 + t^4.877 + t^4.938 + t^4.999 + t^5.128 + t^5.188 + 3*t^5.249 + 2*t^5.439 + 2*t^5.499 + 3*t^5.75 - 2*t^6. - t^4.312/y - t^4.312*y	detail