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
60090	SU3adj1nf2	${}q_{1}q_{2}\tilde{q}_{1}^{2}$ + ${ }M_{1}\phi_{1}q_{1}\tilde{q}_{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }q_{1}\tilde{q}_{2}X_{1}$ + ${ }M_{2}\phi_{1}q_{1}\tilde{q}_{1}$	1.1804	1.402	0.842	[X:[1.5931], M:[1.1862, 0.7448], q:[0.2274, 0.5309], qb:[0.6209, 0.1795], phi:[0.4069]]	[X:[[0, 1]], M:[[0, 2], [0, 8]], q:[[-1, -1], [-1, 13]], qb:[[1, -6], [1, 0]], phi:[[0, -1]]]	2

Relevant Operators	Marginal Operators	$n_{marginal}$$-$$|F_{IR}|$	Superconformal Index	Refined index
${}q_{2}\tilde{q}_{2}$, ${ }M_{2}$, ${ }\phi_{1}^{2}$, ${ }q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }q_{2}\tilde{q}_{1}$, ${ }M_{1}$, ${ }\phi_{1}^{3}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}q_{1}^{2}q_{2}$, ${ }q_{2}^{2}\tilde{q}_{2}^{2}$, ${ }M_{2}q_{2}\tilde{q}_{2}$, ${ }M_{2}^{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$, ${ }M_{2}\phi_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{2}q_{1}\tilde{q}_{1}$, ${ }X_{1}$, ${ }\phi_{1}^{4}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}q_{2}^{2}$, ${ }\phi_{1}^{3}\tilde{q}_{2}^{3}$, ${ }\phi_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}^{2}q_{1}^{2}q_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}^{2}\tilde{q}_{2}^{2}$, ${ }M_{2}\phi_{1}q_{2}\tilde{q}_{2}$, ${ }q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{2}q_{2}\tilde{q}_{1}$, ${ }M_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}^{3}q_{1}^{3}$, ${ }M_{1}M_{2}$, ${ }\phi_{1}^{3}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{1}q_{2}\tilde{q}_{2}^{2}$, ${ }M_{2}\phi_{1}^{3}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$, ${ }M_{2}\phi_{1}^{2}q_{1}\tilde{q}_{2}$	${}$	-3	t^2.13 + t^2.23 + t^2.44 + t^2.54 + t^3.35 + t^3.46 + t^3.56 + 2*t^3.66 + t^4.16 + t^4.18 + t^4.26 + t^4.37 + t^4.47 + 2*t^4.57 + 2*t^4.68 + 2*t^4.78 + t^4.88 + 2*t^4.99 + t^5.09 + t^5.28 + t^5.38 + t^5.4 + 2*t^5.48 + 2*t^5.59 + 2*t^5.69 + t^5.71 + 4*t^5.79 + 4*t^5.9 - 3*t^6. + 3*t^6.1 + 2*t^6.21 + t^6.29 + t^6.31 + 2*t^6.39 + t^6.5 + 3*t^6.6 + 2*t^6.62 + 4*t^6.7 + t^6.71 + 3*t^6.81 + 3*t^6.91 + 7*t^7.01 + 5*t^7.12 + 2*t^7.22 + 4*t^7.32 + t^7.41 + 2*t^7.43 + 3*t^7.51 + 3*t^7.53 + t^7.61 + t^7.62 + t^7.63 + 3*t^7.72 - t^7.74 + 6*t^7.82 + 3*t^7.84 + 6*t^7.92 + t^7.93 + t^7.94 + 6*t^8.03 - 2*t^8.05 + t^8.13 + t^8.15 + 3*t^8.23 + t^8.25 + t^8.32 + 8*t^8.34 + t^8.36 + t^8.42 + 2*t^8.44 + t^8.52 + t^8.53 - 2*t^8.54 + 3*t^8.63 + 4*t^8.65 + 5*t^8.73 + 4*t^8.75 + 4*t^8.83 + 3*t^8.84 + t^8.85 - t^8.86 + 7*t^8.94 - 2*t^8.96 - t^4.22/y - t^5.44/y - t^6.35/y - t^6.46/y - t^6.77/y + t^7.37/y + t^7.78/y - (2*t^7.88)/y + t^7.99/y + t^8.59/y + t^8.69/y + (3*t^8.79)/y + (4*t^8.9)/y - t^4.22*y - t^5.44*y - t^6.35*y - t^6.46*y - t^6.77*y + t^7.37*y + t^7.78*y - 2*t^7.88*y + t^7.99*y + t^8.59*y + t^8.69*y + 3*t^8.79*y + 4*t^8.9*y	g2^13*t^2.13 + g2^8*t^2.23 + t^2.44/g2^2 + t^2.54/g2^7 + g2^12*t^3.35 + g2^7*t^3.46 + g2^2*t^3.56 + (2*t^3.66)/g2^3 + (g1^3*t^4.16)/g2^7 + (g2^10*t^4.18)/g1^3 + g2^26*t^4.26 + g2^21*t^4.37 + g2^16*t^4.47 + 2*g2^11*t^4.57 + 2*g2^6*t^4.68 + 2*g2*t^4.78 + t^4.88/g2^4 + (2*t^4.99)/g2^9 + (g2^24*t^5.09)/g1^3 + (g1^3*t^5.28)/g2^3 + (g1^3*t^5.38)/g2^8 + (g2^9*t^5.4)/g1^3 + (g1^3*t^5.48)/g2^13 + g2^25*t^5.48 + 2*g2^20*t^5.59 + 2*g2^15*t^5.69 + t^5.71/(g1^3*g2^6) + 4*g2^10*t^5.79 + 4*g2^5*t^5.9 - 3*t^6. + (3*t^6.1)/g2^5 + (2*t^6.21)/g2^10 + g1^3*g2^6*t^6.29 - t^6.31/g2^15 + (2*g2^23*t^6.31)/g1^3 + g1^3*g2*t^6.39 + g2^39*t^6.39 + g2^34*t^6.5 + (2*g1^3*t^6.6)/g2^9 + g2^29*t^6.6 + (2*g2^8*t^6.62)/g1^3 + 4*g2^24*t^6.7 + (g1^3*t^6.71)/g2^14 - (g1^3*t^6.81)/g2^19 + 4*g2^19*t^6.81 + 3*g2^14*t^6.91 + 7*g2^9*t^7.01 + 5*g2^4*t^7.12 + t^7.22/g2 + (g2^37*t^7.22)/g1^3 + (3*t^7.32)/g2^6 + (g2^32*t^7.32)/g1^3 + g1^3*g2^10*t^7.41 + (2*t^7.43)/g2^11 + 3*g1^3*g2^5*t^7.51 + (3*g2^22*t^7.53)/g1^3 + g2^38*t^7.61 + g1^3*t^7.62 + (g2^17*t^7.63)/g1^3 + (g1^3*t^7.72)/g2^5 + 2*g2^33*t^7.72 - (g2^12*t^7.74)/g1^3 + (3*g1^3*t^7.82)/g2^10 + 3*g2^28*t^7.82 + (3*g2^7*t^7.84)/g1^3 + 6*g2^23*t^7.92 + (g1^3*t^7.93)/g2^15 + (g2^2*t^7.94)/g1^3 - (g1^3*t^8.03)/g2^20 + 7*g2^18*t^8.03 - (2*t^8.05)/(g1^3*g2^3) + g2^13*t^8.13 + t^8.15/(g1^3*g2^8) + 3*g2^8*t^8.23 + t^8.25/(g1^3*g2^13) + (g1^6*t^8.32)/g2^14 + 8*g2^3*t^8.34 + (g2^20*t^8.36)/g1^6 + g1^3*g2^19*t^8.42 - (2*t^8.44)/g2^2 + (4*g2^36*t^8.44)/g1^3 + g2^52*t^8.52 + g1^3*g2^14*t^8.53 - (3*t^8.54)/g2^7 + (g2^31*t^8.54)/g1^3 + 2*g1^3*g2^9*t^8.63 + g2^47*t^8.63 + (4*t^8.65)/g2^12 + 4*g1^3*g2^4*t^8.73 + g2^42*t^8.73 - t^8.75/g2^17 + (5*g2^21*t^8.75)/g1^3 + 4*g2^37*t^8.83 + (3*g1^3*t^8.84)/g2 + (g2^16*t^8.85)/g1^3 - t^8.86/g2^22 + (g1^3*t^8.94)/g2^6 + 6*g2^32*t^8.94 - (2*g2^11*t^8.96)/g1^3 - t^4.22/(g2*y) - t^5.44/(g2^2*y) - (g2^12*t^6.35)/y - (g2^7*t^6.46)/y - t^6.77/(g2^8*y) + (g2^21*t^7.37)/y + (g2*t^7.78)/y - (2*t^7.88)/(g2^4*y) + t^7.99/(g2^9*y) + (g2^20*t^8.59)/y + (g2^15*t^8.69)/y + (3*g2^10*t^8.79)/y + (4*g2^5*t^8.9)/y - (t^4.22*y)/g2 - (t^5.44*y)/g2^2 - g2^12*t^6.35*y - g2^7*t^6.46*y - (t^6.77*y)/g2^8 + g2^21*t^7.37*y + g2*t^7.78*y - (2*t^7.88*y)/g2^4 + (t^7.99*y)/g2^9 + g2^20*t^8.59*y + g2^15*t^8.69*y + 3*g2^10*t^8.79*y + 4*g2^5*t^8.9*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
61137	${}q_{1}q_{2}\tilde{q}_{1}^{2}$ + ${ }M_{1}\phi_{1}q_{1}\tilde{q}_{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }q_{1}\tilde{q}_{2}X_{1}$ + ${ }M_{2}\phi_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$	1.194	1.4239	0.8385	[X:[1.5944], M:[1.1888, 0.7553, 0.8391], q:[0.2221, 0.5438], qb:[0.617, 0.1835], phi:[0.4056]]	t^2.18 + t^2.27 + t^2.43 + 2*t^2.52 + t^3.4 + t^3.57 + 2*t^3.65 + t^4.17 + t^4.18 + t^4.36 + t^4.45 + t^4.53 + 2*t^4.62 + 3*t^4.7 + 3*t^4.78 + t^4.87 + 3*t^4.95 + 2*t^5.03 + t^5.15 + t^5.3 + t^5.39 + t^5.4 + t^5.47 + t^5.58 + t^5.65 + t^5.66 + t^5.75 + 4*t^5.83 + 4*t^5.92 - 4*t^6. - t^4.22/y - t^5.43/y - t^4.22*y - t^5.43*y	detail
61246	${}q_{1}q_{2}\tilde{q}_{1}^{2}$ + ${ }M_{1}\phi_{1}q_{1}\tilde{q}_{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }q_{1}\tilde{q}_{2}X_{1}$ + ${ }M_{2}\phi_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{2}\tilde{q}_{2}$	1.1602	1.3632	0.8511	[X:[1.5941], M:[1.1882, 0.7527, 1.2769], q:[0.2234, 0.5406], qb:[0.618, 0.1825], phi:[0.4059]]	t^2.26 + t^2.44 + t^2.52 + t^3.39 + t^3.48 + t^3.56 + 2*t^3.65 + t^3.83 + t^4.17 + t^4.18 + t^4.52 + t^4.6 + t^4.69 + 2*t^4.78 + t^4.87 + 2*t^4.96 + t^5.13 + t^5.3 + t^5.38 + t^5.4 + t^5.47 + t^5.65 + t^5.66 + t^5.73 + 2*t^5.82 + 4*t^5.91 - 3*t^6. - t^4.22/y - t^5.44/y - t^4.22*y - t^5.44*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
57728	SU3adj1nf2	${}q_{1}q_{2}\tilde{q}_{1}^{2}$ + ${ }M_{1}\phi_{1}q_{1}\tilde{q}_{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }q_{1}\tilde{q}_{2}X_{1}$	1.1613	1.3662	0.85	[X:[1.594], M:[1.1879], q:[0.2239, 0.5394], qb:[0.6183, 0.1822], phi:[0.406]]	t^2.16 + t^2.44 + t^2.53 + t^3.38 + t^3.47 + t^3.56 + 2*t^3.65 + t^3.74 + t^4.17 + t^4.18 + t^4.33 + 2*t^4.6 + t^4.69 + t^4.78 + t^4.87 + 2*t^4.96 + t^5.13 + t^5.29 + t^5.38 + t^5.4 + t^5.47 + t^5.55 + t^5.64 + t^5.67 + t^5.73 + 3*t^5.82 + 3*t^5.91 - 3*t^6. - t^4.22/y - t^5.44/y - t^4.22*y - t^5.44*y	detail