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
3390	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{4}q_{1}\tilde{q}_{2}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ + ${ }M_{6}q_{1}\tilde{q}_{1}$	0.6431	0.8464	0.7598	[M:[1.0005, 0.9984, 0.9995, 0.7496, 0.7496, 0.7485], q:[0.7501, 0.2493], qb:[0.5013, 0.5003], phi:[0.4997]]	[M:[[4], [-12], [-4], [-3], [-3], [-11]], q:[[1], [-5]], qb:[[10], [2]], phi:[[-2]]]	1

Relevant Operators	Marginal Operators	$n_{marginal}$$-$$|F_{IR}|$	Superconformal Index	Refined index
${}M_{6}$, ${ }M_{4}$, ${ }M_{5}$, ${ }q_{2}\tilde{q}_{2}$, ${ }q_{2}\tilde{q}_{1}$, ${ }M_{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }M_{3}$, ${ }\phi_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{6}^{2}$, ${ }M_{4}M_{6}$, ${ }M_{5}M_{6}$, ${ }M_{6}q_{2}\tilde{q}_{2}$, ${ }M_{4}^{2}$, ${ }M_{4}M_{5}$, ${ }M_{5}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }M_{6}q_{2}\tilde{q}_{1}$, ${ }M_{4}q_{2}\tilde{q}_{2}$, ${ }M_{5}q_{2}\tilde{q}_{2}$, ${ }q_{2}^{2}\tilde{q}_{2}^{2}$, ${ }M_{4}q_{2}\tilde{q}_{1}$, ${ }M_{5}q_{2}\tilde{q}_{1}$, ${ }q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }q_{2}^{2}\tilde{q}_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{2}M_{6}$, ${ }M_{6}\phi_{1}q_{2}^{2}$, ${ }M_{2}M_{4}$, ${ }M_{2}M_{5}$, ${ }M_{3}M_{6}$, ${ }M_{6}\phi_{1}^{2}$, ${ }M_{4}\phi_{1}q_{2}^{2}$, ${ }M_{5}\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{2}^{3}\tilde{q}_{2}$, ${ }M_{3}M_{4}$, ${ }M_{3}M_{5}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{5}\phi_{1}^{2}$, ${ }\phi_{1}q_{2}^{3}\tilde{q}_{1}$, ${ }M_{3}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$, ${ }M_{3}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{2}^{2}$, ${ }M_{2}\phi_{1}q_{2}^{2}$, ${ }\phi_{1}^{2}q_{2}^{4}$, ${ }M_{2}M_{3}$, ${ }M_{2}\phi_{1}^{2}$, ${ }M_{3}\phi_{1}q_{2}^{2}$, ${ }\phi_{1}^{3}q_{2}^{2}$, ${ }M_{6}\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{3}^{2}$, ${ }M_{3}\phi_{1}^{2}$, ${ }\phi_{1}^{4}$, ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}^{2}\tilde{q}_{2}^{2}$	${}$	-3	t^2.246 + 3*t^2.249 + t^2.252 + 2*t^2.995 + 2*t^2.998 + t^3.748 + t^4.491 + 3*t^4.494 + 7*t^4.498 + 4*t^4.501 + 2*t^4.504 + t^4.507 + 2*t^5.241 + 7*t^5.244 + 7*t^5.247 + 2*t^5.25 + 3*t^5.99 + 5*t^5.994 + 3*t^5.997 - 3*t^6. - 2*t^6.003 + t^6.737 + 3*t^6.74 + 8*t^6.743 + 13*t^6.746 + 7*t^6.75 + 4*t^6.753 + 3*t^6.756 + t^6.759 + 2*t^7.486 + 7*t^7.49 + 16*t^7.493 + 17*t^7.496 + 6*t^7.499 - t^7.509 + 3*t^8.236 + 12*t^8.239 + 14*t^8.242 + 5*t^8.246 - 10*t^8.249 - 11*t^8.252 - 5*t^8.255 - t^8.258 + t^8.982 + 7*t^8.986 + 14*t^8.989 + 17*t^8.992 + 13*t^8.995 - t^4.499/y - t^6.745/y - (2*t^6.748)/y + (2*t^7.494)/y + (3*t^7.498)/y + (4*t^7.501)/y + t^7.504/y + (2*t^8.241)/y + (8*t^8.244)/y + (8*t^8.247)/y + (4*t^8.25)/y + t^8.254/y + (3*t^8.994)/y + t^8.997/y - t^4.499*y - t^6.745*y - 2*t^6.748*y + 2*t^7.494*y + 3*t^7.498*y + 4*t^7.501*y + t^7.504*y + 2*t^8.241*y + 8*t^8.244*y + 8*t^8.247*y + 4*t^8.25*y + t^8.254*y + 3*t^8.994*y + t^8.997*y	t^2.246/g1^11 + (3*t^2.249)/g1^3 + g1^5*t^2.252 + (2*t^2.995)/g1^12 + (2*t^2.998)/g1^4 + t^3.748/g1^5 + t^4.491/g1^22 + (3*t^4.494)/g1^14 + (7*t^4.498)/g1^6 + 4*g1^2*t^4.501 + 2*g1^10*t^4.504 + g1^18*t^4.507 + (2*t^5.241)/g1^23 + (7*t^5.244)/g1^15 + (7*t^5.247)/g1^7 + 2*g1*t^5.25 + (3*t^5.99)/g1^24 + (5*t^5.994)/g1^16 + (3*t^5.997)/g1^8 - 3*t^6. - 2*g1^8*t^6.003 + t^6.737/g1^33 + (3*t^6.74)/g1^25 + (8*t^6.743)/g1^17 + (13*t^6.746)/g1^9 + (7*t^6.75)/g1 + 4*g1^7*t^6.753 + 3*g1^15*t^6.756 + g1^23*t^6.759 + (2*t^7.486)/g1^34 + (7*t^7.49)/g1^26 + (16*t^7.493)/g1^18 + (17*t^7.496)/g1^10 + (6*t^7.499)/g1^2 - g1^22*t^7.509 + (3*t^8.236)/g1^35 + (12*t^8.239)/g1^27 + (14*t^8.242)/g1^19 + (5*t^8.246)/g1^11 - (10*t^8.249)/g1^3 - 11*g1^5*t^8.252 - 5*g1^13*t^8.255 - g1^21*t^8.258 + t^8.982/g1^44 + (7*t^8.986)/g1^36 + (14*t^8.989)/g1^28 + (17*t^8.992)/g1^20 + (13*t^8.995)/g1^12 - t^4.499/(g1^2*y) - t^6.745/(g1^13*y) - (2*t^6.748)/(g1^5*y) + (2*t^7.494)/(g1^14*y) + (3*t^7.498)/(g1^6*y) + (4*g1^2*t^7.501)/y + (g1^10*t^7.504)/y + (2*t^8.241)/(g1^23*y) + (8*t^8.244)/(g1^15*y) + (8*t^8.247)/(g1^7*y) + (4*g1*t^8.25)/y + (g1^9*t^8.254)/y + (3*t^8.994)/(g1^16*y) + t^8.997/(g1^8*y) - (t^4.499*y)/g1^2 - (t^6.745*y)/g1^13 - (2*t^6.748*y)/g1^5 + (2*t^7.494*y)/g1^14 + (3*t^7.498*y)/g1^6 + 4*g1^2*t^7.501*y + g1^10*t^7.504*y + (2*t^8.241*y)/g1^23 + (8*t^8.244*y)/g1^15 + (8*t^8.247*y)/g1^7 + 4*g1*t^8.25*y + g1^9*t^8.254*y + (3*t^8.994*y)/g1^16 + (t^8.997*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
3881	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{4}q_{1}\tilde{q}_{2}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ + ${ }M_{6}q_{1}\tilde{q}_{1}$ + ${ }M_{2}M_{6}$	0.6249	0.8151	0.7666	[M:[0.9565, 1.1304, 1.0435, 0.7826, 0.7826, 0.8696], q:[0.7391, 0.3043], qb:[0.3913, 0.4783], phi:[0.5217]]	t^2.087 + 3*t^2.348 + t^2.609 + 2*t^3.13 + 2*t^3.391 + 2*t^3.913 + 2*t^4.174 + 4*t^4.435 + 7*t^4.696 + 3*t^4.957 + 3*t^5.217 + 7*t^5.478 + 5*t^5.739 - t^4.565/y - t^4.565*y	detail	{a: 60825/97336, c: 19835/24334, M1: 22/23, M2: 26/23, M3: 24/23, M4: 18/23, M5: 18/23, M6: 20/23, q1: 17/23, q2: 7/23, qb1: 9/23, qb2: 11/23, phi1: 12/23}

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
2839	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{4}q_{1}\tilde{q}_{2}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$	0.6244	0.8111	0.7698	[M:[0.9936, 1.0191, 1.0064, 0.7548, 0.7548], q:[0.7484, 0.258], qb:[0.4841, 0.4968], phi:[0.5032]]	t^2.226 + 3*t^2.264 + 2*t^3.019 + 2*t^3.057 + t^3.697 + t^3.774 + t^4.414 + 2*t^4.452 + 4*t^4.49 + 6*t^4.529 + 2*t^5.245 + 7*t^5.283 + 5*t^5.322 + t^5.923 + t^5.962 - 3*t^6. - t^4.51/y - t^4.51*y	detail