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
2158	SU2adj1nf2	${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{4}q_{1}\tilde{q}_{2}$ + ${ }M_{3}M_{4}$ + ${ }M_{5}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{6}\phi_{1}^{2}$ + ${ }M_{3}M_{7}$	0.6672	0.8304	0.8034	[M:[0.9946, 1.0786, 1.1518, 0.8482, 0.6911, 1.0786, 0.8482], q:[0.7696, 0.5393], qb:[0.4661, 0.3821], phi:[0.4607]]	[M:[[13], [-4], [5], [-5], [3], [-4], [-5]], q:[[-1], [-2]], qb:[[-11], [6]], phi:[[2]]]	1

Relevant Operators	Marginal Operators	$n_{marginal}$$-$$|F_{IR}|$	Superconformal Index	Refined index
${}M_{5}$, ${ }M_{4}$, ${ }M_{7}$, ${ }M_{1}$, ${ }M_{2}$, ${ }M_{6}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }q_{1}\tilde{q}_{1}$, ${ }q_{1}q_{2}$, ${ }M_{5}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{4}M_{5}$, ${ }M_{5}M_{7}$, ${ }\phi_{1}q_{2}^{2}$, ${ }M_{1}M_{5}$, ${ }M_{4}^{2}$, ${ }M_{4}M_{7}$, ${ }M_{7}^{2}$, ${ }M_{2}M_{5}$, ${ }M_{5}M_{6}$, ${ }M_{1}M_{4}$, ${ }M_{1}M_{7}$, ${ }M_{2}M_{4}$, ${ }M_{4}M_{6}$, ${ }M_{2}M_{7}$, ${ }M_{6}M_{7}$, ${ }M_{5}q_{1}\tilde{q}_{1}$, ${ }M_{1}^{2}$	${}M_{5}q_{1}q_{2}$	-2	t^2.073 + 2*t^2.545 + t^2.984 + 2*t^3.236 + t^3.675 + t^3.707 + t^3.927 + 2*t^4.146 + t^4.179 + t^4.398 + 3*t^4.618 + t^5.057 + 3*t^5.089 + 2*t^5.309 + t^5.529 + 4*t^5.78 + t^5.968 - 2*t^6. + 4*t^6.22 + 2*t^6.252 + 3*t^6.471 + t^6.659 + 3*t^6.691 + 2*t^6.723 + 3*t^6.943 + t^7.13 + 4*t^7.163 + t^7.35 + 2*t^7.382 + 2*t^7.414 + t^7.602 + 4*t^7.634 + t^7.821 + 4*t^7.854 + t^7.886 + t^8.041 - 2*t^8.073 + t^8.106 + 3*t^8.293 + 6*t^8.325 + t^8.357 + t^8.512 - 3*t^8.545 + t^8.577 + 5*t^8.764 + 4*t^8.797 + t^8.951 - 4*t^8.984 - t^4.382/y - t^6.455/y - t^6.927/y + t^7.146/y - t^7.366/y + t^7.398/y + t^7.618/y + t^7.837/y + t^8.057/y + t^8.089/y + (3*t^8.309)/y + t^8.529/y + t^8.748/y + (5*t^8.78)/y - t^4.382*y - t^6.455*y - t^6.927*y + t^7.146*y - t^7.366*y + t^7.398*y + t^7.618*y + t^7.837*y + t^8.057*y + t^8.089*y + 3*t^8.309*y + t^8.529*y + t^8.748*y + 5*t^8.78*y	g1^3*t^2.073 + (2*t^2.545)/g1^5 + g1^13*t^2.984 + (2*t^3.236)/g1^4 + g1^14*t^3.675 + t^3.707/g1^12 + t^3.927/g1^3 + 2*g1^6*t^4.146 + t^4.179/g1^20 + t^4.398/g1^11 + (3*t^4.618)/g1^2 + g1^16*t^5.057 + (3*t^5.089)/g1^10 + (2*t^5.309)/g1 + g1^8*t^5.529 + (4*t^5.78)/g1^9 + g1^26*t^5.968 - 2*t^6. + 4*g1^9*t^6.22 + (2*t^6.252)/g1^17 + (3*t^6.471)/g1^8 + g1^27*t^6.659 + 3*g1*t^6.691 + (2*t^6.723)/g1^25 + (3*t^6.943)/g1^16 + g1^19*t^7.13 + (4*t^7.163)/g1^7 + g1^28*t^7.35 + 2*g1^2*t^7.382 + (2*t^7.414)/g1^24 + g1^11*t^7.602 + (4*t^7.634)/g1^15 + g1^20*t^7.821 + (4*t^7.854)/g1^6 + t^7.886/g1^32 + g1^29*t^8.041 - 2*g1^3*t^8.073 + t^8.106/g1^23 + 3*g1^12*t^8.293 + (6*t^8.325)/g1^14 + t^8.357/g1^40 + g1^21*t^8.512 - (3*t^8.545)/g1^5 + t^8.577/g1^31 + 5*g1^4*t^8.764 + (4*t^8.797)/g1^22 + g1^39*t^8.951 - 4*g1^13*t^8.984 - (g1^2*t^4.382)/y - (g1^5*t^6.455)/y - t^6.927/(g1^3*y) + (g1^6*t^7.146)/y - (g1^15*t^7.366)/y + t^7.398/(g1^11*y) + t^7.618/(g1^2*y) + (g1^7*t^7.837)/y + (g1^16*t^8.057)/y + t^8.089/(g1^10*y) + (3*t^8.309)/(g1*y) + (g1^8*t^8.529)/y + (g1^17*t^8.748)/y + (5*t^8.78)/(g1^9*y) - g1^2*t^4.382*y - g1^5*t^6.455*y - (t^6.927*y)/g1^3 + g1^6*t^7.146*y - g1^15*t^7.366*y + (t^7.398*y)/g1^11 + (t^7.618*y)/g1^2 + g1^7*t^7.837*y + g1^16*t^8.057*y + (t^8.089*y)/g1^10 + (3*t^8.309*y)/g1 + g1^8*t^8.529*y + g1^17*t^8.748*y + (5*t^8.78*y)/g1^9

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
4132	${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{4}q_{1}\tilde{q}_{2}$ + ${ }M_{3}M_{4}$ + ${ }M_{5}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{6}\phi_{1}^{2}$ + ${ }M_{3}M_{7}$ + ${ }M_{8}q_{1}q_{2}$	0.6878	0.8704	0.7903	[M:[0.993, 1.0791, 1.1512, 0.8488, 0.6907, 1.0791, 0.8488, 0.6907], q:[0.7698, 0.5395], qb:[0.4674, 0.3814], phi:[0.4605]]	2*t^2.072 + 2*t^2.547 + t^2.979 + 2*t^3.237 + t^3.67 + t^3.712 + 4*t^4.144 + t^4.186 + t^4.402 + 5*t^4.619 + 2*t^5.051 + 3*t^5.093 + 4*t^5.309 + t^5.526 + t^5.742 + 5*t^5.784 + t^5.958 - 3*t^6. - t^4.381/y - t^4.381*y	detail
4131	${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{4}q_{1}\tilde{q}_{2}$ + ${ }M_{3}M_{4}$ + ${ }M_{5}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{6}\phi_{1}^{2}$ + ${ }M_{3}M_{7}$ + ${ }M_{8}q_{1}\tilde{q}_{1}$	0.686	0.8645	0.7935	[M:[0.9753, 1.0845, 1.1443, 0.8557, 0.6866, 1.0845, 0.8557, 0.7464], q:[0.7711, 0.5423], qb:[0.4824, 0.3732], phi:[0.4577]]	t^2.06 + t^2.239 + 2*t^2.567 + t^2.926 + 2*t^3.254 + t^3.612 + t^3.94 + 2*t^4.12 + t^4.268 + t^4.299 + t^4.447 + t^4.479 + 3*t^4.627 + 2*t^4.806 + t^4.986 + 3*t^5.134 + t^5.165 + 2*t^5.313 + 3*t^5.493 + 3*t^5.821 + 2*t^5.852 - 2*t^6. - t^4.373/y - t^4.373*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
1133	SU2adj1nf2	${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{4}q_{1}\tilde{q}_{2}$ + ${ }M_{3}M_{4}$ + ${ }M_{5}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{6}\phi_{1}^{2}$	0.6541	0.8078	0.8098	[M:[0.9792, 1.0833, 1.1458, 0.8542, 0.6875, 1.0833], q:[0.7708, 0.5417], qb:[0.4792, 0.375], phi:[0.4583]]	t^2.063 + t^2.563 + t^2.938 + 2*t^3.25 + t^3.438 + t^3.625 + t^3.75 + t^3.938 + 2*t^4.125 + t^4.25 + t^4.438 + 2*t^4.625 + t^5. + t^5.125 + 2*t^5.313 + t^5.5 + 2*t^5.813 + t^5.875 - t^6. - t^4.375/y - t^4.375*y	detail	{a: 4019/6144, c: 4963/6144, M1: 47/48, M2: 13/12, M3: 55/48, M4: 41/48, M5: 11/16, M6: 13/12, q1: 37/48, q2: 13/24, qb1: 23/48, qb2: 3/8, phi1: 11/24}