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
57767	SU3adj1nf2	${}q_{1}q_{2}\tilde{q}_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{2}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{1}$ + ${ }M_{1}\phi_{1}^{3}$	1.4548	1.6461	0.8838	[X:[1.3282], M:[0.9923, 0.9768], q:[0.4732, 0.5195], qb:[0.5036, 0.4882], phi:[0.3359]]	[X:[[0, 2]], M:[[0, 3], [0, 9]], q:[[-1, 15], [-1, -3]], qb:[[1, -6], [1, 0]], phi:[[0, -1]]]	2

Relevant Operators	Marginal Operators	$n_{marginal}$$-$$|F_{IR}|$	Superconformal Index	Refined index
${}q_{1}\tilde{q}_{2}$, ${ }M_{2}$, ${ }q_{1}\tilde{q}_{1}$, ${ }M_{1}$, ${ }\phi_{1}^{3}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }X_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}^{2}q_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}q_{2}^{2}$, ${ }q_{1}^{2}\tilde{q}_{2}^{2}$, ${ }M_{2}q_{1}\tilde{q}_{2}$, ${ }q_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{2}^{2}$, ${ }M_{2}q_{1}\tilde{q}_{1}$, ${ }M_{1}q_{1}\tilde{q}_{2}$, ${ }M_{1}M_{2}$, ${ }M_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}^{3}q_{1}\tilde{q}_{2}$, ${ }M_{1}^{2}$, ${ }M_{2}\phi_{1}^{3}$, ${ }\phi_{1}^{3}q_{1}\tilde{q}_{1}$	${}$	-3	t^2.88 + 2*t^2.93 + t^2.98 + t^3.02 + t^3.89 + t^3.94 + t^3.98 + t^4.03 + t^4.08 + t^4.9 + t^4.95 + t^5.04 + t^5.08 + t^5.41 + t^5.45 + t^5.49 + t^5.54 + t^5.77 + 2*t^5.81 + 3*t^5.86 + 3*t^5.91 + 2*t^5.95 - 3*t^6. - t^6.14 + t^6.41 + t^6.46 + t^6.5 + t^6.55 + t^6.78 + 3*t^6.82 + 3*t^6.87 + 5*t^6.92 + 4*t^6.96 + t^7.01 + t^7.05 + t^7.1 - t^7.15 + t^7.28 + t^7.42 + t^7.46 - t^7.47 + t^7.56 + t^7.7 + 2*t^7.78 + 4*t^7.83 + 3*t^7.88 + 4*t^7.92 + 5*t^7.97 + 2*t^8.02 + 2*t^8.06 + 2*t^8.11 + t^8.29 + t^8.33 + t^8.34 + 2*t^8.38 + t^8.42 + 2*t^8.43 + t^8.47 - t^8.52 - 2*t^8.56 + t^8.57 - 2*t^8.61 + t^8.65 - t^8.66 + 2*t^8.7 + 3*t^8.75 + 6*t^8.79 + 6*t^8.84 - 3*t^8.93 - t^4.01/y - t^5.02/y - t^6.89/y - (2*t^6.94)/y - t^6.98/y - t^7.03/y - t^7.9/y - (2*t^7.95)/y - t^7.99/y - t^8.04/y + (2*t^8.81)/y + (2*t^8.86)/y + (2*t^8.91)/y + t^8.95/y - t^4.01*y - t^5.02*y - t^6.89*y - 2*t^6.94*y - t^6.98*y - t^7.03*y - t^7.9*y - 2*t^7.95*y - t^7.99*y - t^8.04*y + 2*t^8.81*y + 2*t^8.86*y + 2*t^8.91*y + t^8.95*y	g2^15*t^2.88 + 2*g2^9*t^2.93 + g2^3*t^2.98 + t^3.02/g2^3 + g2^14*t^3.89 + g2^8*t^3.94 + g2^2*t^3.98 + t^4.03/g2^4 + t^4.08/g2^10 + g2^13*t^4.9 + g2^7*t^4.95 + t^5.04/g2^5 + t^5.08/g2^11 + (g2^26*t^5.41)/g1^3 + (g1^3*t^5.45)/g2^7 + (g1^3*t^5.49)/g2^13 + (g2^8*t^5.54)/g1^3 + g2^30*t^5.77 + 2*g2^24*t^5.81 + 3*g2^18*t^5.86 + 3*g2^12*t^5.91 + 2*g2^6*t^5.95 - 3*t^6. - t^6.14/g2^18 + (g2^25*t^6.41)/g1^3 + (g1^3*t^6.46)/g2^8 + (g1^3*t^6.5)/g2^14 + (g2^7*t^6.55)/g1^3 + g2^29*t^6.78 + 3*g2^23*t^6.82 + 3*g2^17*t^6.87 + 5*g2^11*t^6.92 + 4*g2^5*t^6.96 + t^7.01/g2 + t^7.05/g2^7 + t^7.1/g2^13 - t^7.15/g2^19 + (g2^42*t^7.28)/g1^3 + (g2^24*t^7.42)/g1^3 + (g1^3*t^7.46)/g2^9 - (g2^18*t^7.47)/g1^3 + (g1^3*t^7.51)/g2^15 - (g2^12*t^7.51)/g1^3 + (g2^6*t^7.56)/g1^3 + t^7.7/(g1^3*g2^12) + 2*g2^28*t^7.78 + 4*g2^22*t^7.83 + 3*g2^16*t^7.88 + 4*g2^10*t^7.92 + 5*g2^4*t^7.97 + (2*t^8.02)/g2^2 + (2*t^8.06)/g2^8 + (2*t^8.11)/g2^14 + (g2^41*t^8.29)/g1^3 + g1^3*g2^8*t^8.33 + (g2^35*t^8.34)/g1^3 + 2*g1^3*g2^2*t^8.38 + (g1^3*t^8.42)/g2^4 + (2*g2^23*t^8.43)/g1^3 + (g1^3*t^8.47)/g2^10 - (g2^11*t^8.52)/g1^3 - (2*g1^3*t^8.56)/g2^22 + (g2^5*t^8.57)/g1^3 - (g1^3*t^8.61)/g2^28 - t^8.61/(g1^3*g2) + g2^45*t^8.65 - t^8.66/(g1^3*g2^7) + 2*g2^39*t^8.7 + 3*g2^33*t^8.75 + 6*g2^27*t^8.79 + 6*g2^21*t^8.84 - 3*g2^9*t^8.93 - t^4.01/(g2*y) - t^5.02/(g2^2*y) - (g2^14*t^6.89)/y - (2*g2^8*t^6.94)/y - (g2^2*t^6.98)/y - t^7.03/(g2^4*y) - (g2^13*t^7.9)/y - (2*g2^7*t^7.95)/y - (g2*t^7.99)/y - t^8.04/(g2^5*y) + (2*g2^24*t^8.81)/y + (2*g2^18*t^8.86)/y + (2*g2^12*t^8.91)/y + (g2^6*t^8.95)/y - (t^4.01*y)/g2 - (t^5.02*y)/g2^2 - g2^14*t^6.89*y - 2*g2^8*t^6.94*y - g2^2*t^6.98*y - (t^7.03*y)/g2^4 - g2^13*t^7.9*y - 2*g2^7*t^7.95*y - g2*t^7.99*y - (t^8.04*y)/g2^5 + 2*g2^24*t^8.81*y + 2*g2^18*t^8.86*y + 2*g2^12*t^8.91*y + g2^6*t^8.95*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
60998	${}q_{1}q_{2}\tilde{q}_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{2}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{1}$ + ${ }M_{1}\phi_{1}^{3}$ + ${ }M_{3}\phi_{1}q_{1}\tilde{q}_{2}$	1.4753	1.685	0.8756	[X:[1.3291], M:[0.9936, 0.9809, 0.6964], q:[0.4779, 0.5161], qb:[0.503, 0.4903], phi:[0.3355]]	t^2.09 + t^2.9 + 2*t^2.94 + t^2.98 + t^3.02 + t^3.95 + t^3.99 + t^4.03 + t^4.06 + t^4.18 + t^4.92 + t^4.96 + t^4.99 + 3*t^5.03 + 2*t^5.07 + t^5.11 + t^5.42 + t^5.46 + t^5.5 + t^5.54 + t^5.81 + 2*t^5.85 + 3*t^5.89 + 3*t^5.92 + 2*t^5.96 - 3*t^6. - t^4.01/y - t^5.01/y - t^4.01*y - t^5.01*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
57284	SU3adj1nf2	${}q_{1}q_{2}\tilde{q}_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{2}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{1}$	1.4577	1.6478	0.8847	[X:[1.3444], M:[0.9302, 0.9634], q:[0.4722, 0.5455], qb:[0.4912, 0.5243], phi:[0.3278]]	t^2.791 + 2*t^2.89 + t^2.95 + t^2.989 + t^3.873 + t^3.973 + t^4.033 + t^4.093 + t^4.193 + t^4.857 + t^4.956 + t^5.077 + t^5.176 + t^5.453 + t^5.503 + t^5.581 + t^5.603 + t^5.673 + 2*t^5.681 + t^5.741 + 3*t^5.78 + 2*t^5.84 + 2*t^5.879 + t^5.94 + t^5.979 - 4*t^6. - t^3.983/y - t^4.967/y - t^3.983*y - t^4.967*y	detail