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
2410	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }M_{4}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}X_{1}$ + ${ }M_{5}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{6}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{7}q_{1}\tilde{q}_{2}$	0.6706	0.85	0.789	[X:[1.5653], M:[0.4347, 1.1884, 0.7827, 0.8693, 0.7827, 0.696, 0.8405], q:[0.7971, 0.7682], qb:[0.4491, 0.3624], phi:[0.4058]]	[X:[[12]], M:[[-12], [4], [6], [-24], [6], [36], [-14]], q:[[1], [11]], qb:[[-17], [13]], phi:[[-2]]]	1

Relevant Operators	Marginal Operators	$n_{marginal}$$-$$|F_{IR}|$	Superconformal Index	Refined index
${}M_{6}$, ${ }M_{3}$, ${ }M_{5}$, ${ }\phi_{1}^{2}$, ${ }M_{7}$, ${ }M_{4}$, ${ }q_{2}\tilde{q}_{2}$, ${ }M_{2}$, ${ }q_{1}\tilde{q}_{1}$, ${ }M_{6}^{2}$, ${ }M_{3}M_{6}$, ${ }M_{5}M_{6}$, ${ }M_{6}\phi_{1}^{2}$, ${ }M_{6}M_{7}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{3}^{2}$, ${ }M_{3}M_{5}$, ${ }M_{5}^{2}$, ${ }M_{4}M_{6}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }X_{1}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{5}\phi_{1}^{2}$, ${ }M_{3}M_{7}$, ${ }M_{5}M_{7}$, ${ }\phi_{1}^{4}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{3}M_{4}$, ${ }M_{4}M_{5}$, ${ }M_{7}\phi_{1}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{7}^{2}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{4}M_{7}$, ${ }M_{4}^{2}$, ${ }M_{6}q_{2}\tilde{q}_{2}$, ${ }M_{2}M_{6}$, ${ }M_{3}q_{2}\tilde{q}_{2}$, ${ }M_{5}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }M_{6}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$, ${ }M_{2}M_{3}$, ${ }M_{2}M_{5}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }M_{7}q_{2}\tilde{q}_{2}$	${}$	-2	t^2.088 + 2*t^2.348 + t^2.435 + t^2.521 + t^2.608 + t^3.392 + t^3.565 + t^3.739 + t^4.176 + 2*t^4.436 + t^4.523 + 2*t^4.609 + 5*t^4.696 + t^4.783 + 4*t^4.869 + 3*t^4.956 + t^5.043 + t^5.129 + t^5.216 + t^5.48 + t^5.653 + t^5.74 + 3*t^5.827 + 2*t^5.913 - 2*t^6. + 2*t^6.087 + t^6.173 - t^6.26 + t^6.264 + t^6.347 + 2*t^6.524 + t^6.611 + 2*t^6.697 + 6*t^6.784 + t^6.871 + 4*t^6.957 + 8*t^7.044 + 3*t^7.131 + 5*t^7.217 + 6*t^7.304 + 3*t^7.391 + 3*t^7.477 + 3*t^7.564 + t^7.568 + t^7.651 + t^7.737 + t^7.741 + t^7.824 + t^7.828 + 3*t^7.915 + 3*t^8.001 - t^8.088 + 3*t^8.175 + 4*t^8.261 - 6*t^8.348 + t^8.352 + 3*t^8.435 - 3*t^8.521 - 4*t^8.608 + 2*t^8.612 + t^8.695 + t^8.698 - t^8.781 + 2*t^8.785 - t^8.868 + 6*t^8.872 + t^8.955 + t^8.959 - t^4.217/y - t^6.305/y - (2*t^6.565)/y - t^6.739/y - t^6.825/y + (2*t^7.436)/y + t^7.523/y + (2*t^7.609)/y + (3*t^7.696)/y + (2*t^7.783)/y + (4*t^7.869)/y + (3*t^7.956)/y + t^8.043/y + (2*t^8.129)/y - t^8.393/y + t^8.48/y - t^8.653/y + (2*t^8.74)/y + t^8.827/y - t^8.913/y - t^4.217*y - t^6.305*y - 2*t^6.565*y - t^6.739*y - t^6.825*y + 2*t^7.436*y + t^7.523*y + 2*t^7.609*y + 3*t^7.696*y + 2*t^7.783*y + 4*t^7.869*y + 3*t^7.956*y + t^8.043*y + 2*t^8.129*y - t^8.393*y + t^8.48*y - t^8.653*y + 2*t^8.74*y + t^8.827*y - t^8.913*y	g1^36*t^2.088 + 2*g1^6*t^2.348 + t^2.435/g1^4 + t^2.521/g1^14 + t^2.608/g1^24 + g1^24*t^3.392 + g1^4*t^3.565 + t^3.739/g1^16 + g1^72*t^4.176 + 2*g1^42*t^4.436 + g1^32*t^4.523 + 2*g1^22*t^4.609 + 5*g1^12*t^4.696 + g1^2*t^4.783 + (4*t^4.869)/g1^8 + (3*t^4.956)/g1^18 + t^5.043/g1^28 + t^5.129/g1^38 + t^5.216/g1^48 + g1^60*t^5.48 + g1^40*t^5.653 + g1^30*t^5.74 + 3*g1^20*t^5.827 + 2*g1^10*t^5.913 - 2*t^6. + (2*t^6.087)/g1^10 + t^6.173/g1^20 - t^6.26/g1^30 + g1^108*t^6.264 + t^6.347/g1^40 + 2*g1^78*t^6.524 + g1^68*t^6.611 + 2*g1^58*t^6.697 + 6*g1^48*t^6.784 + g1^38*t^6.871 + 4*g1^28*t^6.957 + 8*g1^18*t^7.044 + 3*g1^8*t^7.131 + (5*t^7.217)/g1^2 + (6*t^7.304)/g1^12 + (3*t^7.391)/g1^22 + (3*t^7.477)/g1^32 + (3*t^7.564)/g1^42 + g1^96*t^7.568 + t^7.651/g1^52 + t^7.737/g1^62 + g1^76*t^7.741 + t^7.824/g1^72 + g1^66*t^7.828 + 3*g1^56*t^7.915 + 3*g1^46*t^8.001 - g1^36*t^8.088 + 3*g1^26*t^8.175 + 4*g1^16*t^8.261 - 6*g1^6*t^8.348 + g1^144*t^8.352 + (3*t^8.435)/g1^4 - (3*t^8.521)/g1^14 - (4*t^8.608)/g1^24 + 2*g1^114*t^8.612 + t^8.695/g1^34 + g1^104*t^8.698 - t^8.781/g1^44 + 2*g1^94*t^8.785 - t^8.868/g1^54 + 6*g1^84*t^8.872 + t^8.955/g1^64 + g1^74*t^8.959 - t^4.217/(g1^2*y) - (g1^34*t^6.305)/y - (2*g1^4*t^6.565)/y - t^6.739/(g1^16*y) - t^6.825/(g1^26*y) + (2*g1^42*t^7.436)/y + (g1^32*t^7.523)/y + (2*g1^22*t^7.609)/y + (3*g1^12*t^7.696)/y + (2*g1^2*t^7.783)/y + (4*t^7.869)/(g1^8*y) + (3*t^7.956)/(g1^18*y) + t^8.043/(g1^28*y) + (2*t^8.129)/(g1^38*y) - (g1^70*t^8.393)/y + (g1^60*t^8.48)/y - (g1^40*t^8.653)/y + (2*g1^30*t^8.74)/y + (g1^20*t^8.827)/y - (g1^10*t^8.913)/y - (t^4.217*y)/g1^2 - g1^34*t^6.305*y - 2*g1^4*t^6.565*y - (t^6.739*y)/g1^16 - (t^6.825*y)/g1^26 + 2*g1^42*t^7.436*y + g1^32*t^7.523*y + 2*g1^22*t^7.609*y + 3*g1^12*t^7.696*y + 2*g1^2*t^7.783*y + (4*t^7.869*y)/g1^8 + (3*t^7.956*y)/g1^18 + (t^8.043*y)/g1^28 + (2*t^8.129*y)/g1^38 - g1^70*t^8.393*y + g1^60*t^8.48*y - g1^40*t^8.653*y + 2*g1^30*t^8.74*y + g1^20*t^8.827*y - g1^10*t^8.913*y

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
4451	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }M_{4}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}X_{1}$ + ${ }M_{5}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{6}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{7}q_{1}\tilde{q}_{2}$ + ${ }M_{6}^{2}$ + ${ }M_{4}X_{2}$	0.5877	0.7335	0.8012	[X:[1.6667, 1.3333], M:[0.3333, 1.2222, 0.8333, 0.6667, 0.8333, 1.0, 0.7222], q:[0.8056, 0.8611], qb:[0.3056, 0.4722], phi:[0.3889]]	t^2.167 + t^2.333 + 2*t^2.5 + t^3. + t^3.333 + t^3.667 + 2*t^4. + t^4.5 + 4*t^4.667 + t^4.833 + 4*t^5. + 2*t^5.167 + t^5.333 + t^5.5 + 2*t^5.833 - 2*t^6. - t^4.167/y - t^4.167*y	detail	{a: 677/1152, c: 845/1152, X1: 5/3, X2: 4/3, M1: 1/3, M2: 11/9, M3: 5/6, M4: 2/3, M5: 5/6, M6: 1, M7: 13/18, q1: 29/36, q2: 31/36, qb1: 11/36, qb2: 17/36, phi1: 7/18}
4447	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }M_{4}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}X_{1}$ + ${ }M_{5}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{6}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{7}q_{1}\tilde{q}_{2}$ + ${ }M_{8}q_{1}\tilde{q}_{1}$	0.6896	0.8852	0.7791	[X:[1.5612], M:[0.4388, 1.1871, 0.7806, 0.8776, 0.7806, 0.6836, 0.8452, 0.7483], q:[0.7968, 0.7644], qb:[0.4549, 0.358], phi:[0.4065]]	t^2.051 + t^2.245 + 2*t^2.342 + t^2.439 + t^2.536 + t^2.633 + t^3.367 + t^3.561 + t^4.102 + t^4.296 + 2*t^4.393 + 2*t^4.49 + 4*t^4.587 + 6*t^4.684 + 2*t^4.781 + 5*t^4.878 + 3*t^4.975 + t^5.071 + t^5.168 + t^5.265 + t^5.418 + 2*t^5.612 + t^5.709 + 3*t^5.806 + 2*t^5.903 - 2*t^6. - t^4.219/y - t^4.219*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
1356	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }M_{4}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}X_{1}$ + ${ }M_{5}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{6}\phi_{1}\tilde{q}_{1}^{2}$	0.6571	0.8278	0.7938	[X:[1.5587], M:[0.4413, 1.1862, 0.7794, 0.8826, 0.7794, 0.6761], q:[0.7966, 0.7622], qb:[0.4585, 0.3553], phi:[0.4069]]	t^2.028 + 2*t^2.338 + t^2.441 + t^2.648 + t^3.352 + t^3.455 + t^3.559 + t^3.765 + t^4.057 + 2*t^4.366 + t^4.47 + t^4.573 + 5*t^4.676 + t^4.779 + 2*t^4.883 + 2*t^4.986 + t^5.295 + t^5.381 + t^5.484 + t^5.587 + t^5.69 + 5*t^5.794 + 2*t^5.897 - 2*t^6. - t^4.221/y - t^4.221*y	detail