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
57497	SU3adj1nf2	${}M_{1}\phi_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }M_{2}q_{1}\tilde{q}_{2}$	1.3969	1.5736	0.8877	[X:[1.3909], M:[0.7701, 1.0571], q:[0.4036, 0.7081], qb:[0.5218, 0.5394], phi:[0.3045]]	[X:[[0, 0, 4]], M:[[-1, 1, -5], [1, -1, -7]], q:[[-1, -1, 7], [-1, -1, 5]], qb:[[2, 0, 0], [0, 2, 0]], phi:[[0, 0, -2]]]	3

Relevant Operators	Marginal Operators	$n_{marginal}$$-$$|F_{IR}|$	Superconformal Index	Refined index
${}M_{1}$, ${ }\phi_{1}^{3}$, ${ }q_{1}\tilde{q}_{1}$, ${ }M_{2}$, ${ }q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }q_{2}\tilde{q}_{2}$, ${ }X_{1}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{1}^{2}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{1}\phi_{1}^{3}$, ${ }\phi_{1}q_{1}^{2}q_{2}$, ${ }M_{1}M_{2}$, ${ }\phi_{1}^{6}$, ${ }\phi_{1}^{3}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$, ${ }q_{1}^{2}\tilde{q}_{1}^{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}^{2}$, ${ }M_{2}\phi_{1}^{3}$	${}$	-4	t^2.31 + t^2.74 + t^2.78 + t^3.17 + t^3.69 + 2*t^3.74 + t^4.17 + 2*t^4.6 + t^4.62 + 2*t^4.66 + t^5.05 + t^5.46 + 2*t^5.48 + 2*t^5.52 + t^5.55 + t^5.57 + t^5.66 + t^5.72 + t^5.91 - 4*t^6. + t^6.05 + t^6.34 + 3*t^6.37 + t^6.43 + t^6.47 + 3*t^6.48 + 2*t^6.52 + t^6.58 + t^6.63 + t^6.93 + t^6.95 + t^6.97 - t^7.06 + 2*t^7.29 + 3*t^7.34 + t^7.36 + 3*t^7.38 + 2*t^7.4 + 4*t^7.43 + t^7.44 + 3*t^7.48 + t^7.49 + t^7.54 + t^7.6 - 2*t^7.72 + 2*t^7.79 - 2*t^7.97 + 2*t^8.2 + 2*t^8.22 + t^8.24 + 2*t^8.26 + 4*t^8.29 - 2*t^8.31 + t^8.33 + 7*t^8.35 + t^8.36 + 5*t^8.4 + t^8.44 + t^8.46 + t^8.49 - 2*t^8.63 + 2*t^8.65 + t^8.69 - 3*t^8.74 - 5*t^8.78 + 2*t^8.79 - 2*t^8.83 - 2*t^8.89 - t^8.94 + t^8.74/y^2 - t^3.91/y - t^4.83/y - t^6.22/y - t^6.65/y - t^6.69/y - t^7.08/y - t^7.14/y - t^7.57/y - t^7.6/y - t^7.66/y - t^8./y + t^8.05/y + t^8.09/y + t^8.48/y - t^8.53/y - (2*t^8.57)/y + t^8.91/y + t^8.95/y - t^8.96/y - t^3.91*y - t^4.83*y - t^6.22*y - t^6.65*y - t^6.69*y - t^7.08*y - t^7.14*y - t^7.57*y - t^7.6*y - t^7.66*y - t^8.*y + t^8.05*y + t^8.09*y + t^8.48*y - t^8.53*y - 2*t^8.57*y + t^8.91*y + t^8.95*y - t^8.96*y + t^8.74*y^2	(g2*t^2.31)/(g1*g3^5) + t^2.74/g3^6 + (g1*g3^7*t^2.78)/g2 + (g1*t^3.17)/(g2*g3^7) + (g1*g3^5*t^3.69)/g2 + (2*g2*g3^5*t^3.74)/g1 + g3^4*t^4.17 + (2*g1*g3^3*t^4.6)/g2 + (g2^2*t^4.62)/(g1^2*g3^10) + (2*g2*g3^3*t^4.66)/g1 + (g2*t^5.05)/(g1*g3^11) + (g3^17*t^5.46)/(g1^3*g2^3) + (2*t^5.48)/g3^12 + (2*g1*g3*t^5.52)/g2 + (g1^2*g3^14*t^5.55)/g2^2 + (g2*g3*t^5.57)/g1 + (g1^4*g2^2*t^5.66)/g3^2 + (g1^2*g2^4*t^5.72)/g3^2 + (g1*t^5.91)/(g2*g3^13) - 4*t^6. + (g2^2*t^6.05)/g1^2 + (g1^2*t^6.34)/(g2^2*g3^14) + (3*g3^15*t^6.37)/(g1^3*g2^3) + (g1*t^6.43)/(g2*g3) + (g1^2*g3^12*t^6.47)/g2^2 + (3*g2*t^6.48)/(g1*g3) + 2*g3^12*t^6.52 + (g1^4*g2^2*t^6.58)/g3^4 + (g1^2*g2^4*t^6.63)/g3^4 + (g2^3*t^6.93)/(g1^3*g3^15) + (g1*g3^11*t^6.95)/g2 + (g2^2*t^6.97)/(g1^2*g3^2) - (g1^3*g2^3*t^7.06)/g3^5 + (2*g3^13*t^7.29)/(g1^3*g2^3) + (3*g1*t^7.34)/(g2*g3^3) + (g2^2*t^7.36)/(g1^2*g3^16) + (3*g1^2*g3^10*t^7.38)/g2^2 + (2*g2*t^7.4)/(g1*g3^3) + 4*g3^10*t^7.43 + (g1^6*t^7.44)/g3^6 + (3*g2^2*g3^10*t^7.48)/g1^2 + (g1^4*g2^2*t^7.49)/g3^6 + (g1^2*g2^4*t^7.54)/g3^6 + (g2^6*t^7.6)/g3^6 - (2*g3^12*t^7.72)/(g1^2*g2^4) + (g1^2*t^7.77)/(g2^2*g3^4) - (g3^12*t^7.77)/(g1^4*g2^2) + (2*g2*t^7.79)/(g1*g3^17) - (g1^5*g2*t^7.92)/g3^7 + (g2*g3^9*t^7.92)/g1 - (2*g1^3*g2^3*t^7.97)/g3^7 + (2*g3^11*t^8.2)/(g1^3*g2^3) + (2*t^8.22)/g3^18 + (g3^24*t^8.24)/(g1^2*g2^4) + (2*g1*t^8.26)/(g2*g3^5) + (4*g1^2*g3^8*t^8.29)/g2^2 - (2*g2*t^8.31)/(g1*g3^5) + (g1^3*g3^21*t^8.33)/g2^3 + 7*g3^8*t^8.35 + (g2^3*t^8.36)/(g1^3*g3^5) + (g1^4*g2^2*t^8.4)/g3^8 + (4*g2^2*g3^8*t^8.4)/g1^2 + g1^5*g2*g3^5*t^8.44 + (g1^2*g2^4*t^8.46)/g3^8 + g1^3*g2^3*g3^5*t^8.49 - (2*g3^10*t^8.63)/(g1^2*g2^4) + (2*g1*t^8.65)/(g2*g3^19) + (g1^2*t^8.69)/(g2^2*g3^6) - (3*t^8.74)/g3^6 - (5*g1*g3^7*t^8.78)/g2 + (2*g2^2*t^8.79)/(g1^2*g3^6) - (g1^5*g2*t^8.83)/g3^9 - (g2*g3^7*t^8.83)/g1 - (2*g1^3*g2^3*t^8.89)/g3^9 - (g1*g2^5*t^8.94)/g3^9 + t^8.74/(g3^6*y^2) - t^3.91/(g3^2*y) - t^4.83/(g3^4*y) - (g2*t^6.22)/(g1*g3^7*y) - t^6.65/(g3^8*y) - (g1*g3^5*t^6.69)/(g2*y) - (g1*t^7.08)/(g2*g3^9*y) - (g2*t^7.14)/(g1*g3^9*y) - t^7.57/(g3^10*y) - (g1*g3^3*t^7.6)/(g2*y) - (g2*g3^3*t^7.66)/(g1*y) - (g1*t^8.)/(g2*g3^11*y) + (g2*t^8.05)/(g1*g3^11*y) + (g3^2*t^8.09)/y + t^8.48/(g3^12*y) - (g2^2*t^8.53)/(g1^2*g3^12*y) - (2*g2*g3*t^8.57)/(g1*y) + (g1*t^8.91)/(g2*g3^13*y) + (g1^2*t^8.95)/(g2^2*y) - (g2*t^8.96)/(g1*g3^13*y) - (t^3.91*y)/g3^2 - (t^4.83*y)/g3^4 - (g2*t^6.22*y)/(g1*g3^7) - (t^6.65*y)/g3^8 - (g1*g3^5*t^6.69*y)/g2 - (g1*t^7.08*y)/(g2*g3^9) - (g2*t^7.14*y)/(g1*g3^9) - (t^7.57*y)/g3^10 - (g1*g3^3*t^7.6*y)/g2 - (g2*g3^3*t^7.66*y)/g1 - (g1*t^8.*y)/(g2*g3^11) + (g2*t^8.05*y)/(g1*g3^11) + g3^2*t^8.09*y + (t^8.48*y)/g3^12 - (g2^2*t^8.53*y)/(g1^2*g3^12) - (2*g2*g3*t^8.57*y)/g1 + (g1*t^8.91*y)/(g2*g3^13) + (g1^2*t^8.95*y)/g2^2 - (g2*t^8.96*y)/(g1*g3^13) + (t^8.74*y^2)/g3^6

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
60085	${}M_{1}\phi_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }M_{2}q_{1}\tilde{q}_{2}$ + ${ }M_{1}\phi_{1}^{3}$	1.349	1.5444	0.8734	[X:[1.291], M:[0.9364, 1.1907], q:[0.3045, 0.6591], qb:[0.4045, 0.5048], phi:[0.3545]]	t^2.13 + t^2.81 + 2*t^3.19 + 2*t^3.49 + t^3.57 + t^3.87 + 3*t^4.25 + 2*t^4.56 + t^4.87 + t^5. + t^5.31 + 3*t^5.32 + 4*t^5.62 + 3*t^5.93 - 2*t^6. - t^4.06/y - t^5.13/y - t^4.06*y - t^5.13*y	detail
60158	${}M_{1}\phi_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }M_{2}q_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$	1.4154	1.6063	0.8812	[X:[1.3969], M:[0.7549, 1.0542, 0.7549], q:[0.4095, 0.711], qb:[0.5341, 0.5362], phi:[0.3015]]	2*t^2.26 + t^2.71 + t^2.83 + t^3.16 + 2*t^3.74 + t^4.19 + 3*t^4.53 + 2*t^4.64 + 2*t^4.65 + 2*t^4.98 + t^5.1 + 3*t^5.43 + t^5.49 + 2*t^5.54 + t^5.55 + t^5.66 + 2*t^5.72 + t^5.88 - 5*t^6. - t^3.9/y - t^4.81/y - t^3.9*y - t^4.81*y	detail
59446	${}M_{1}\phi_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }M_{2}q_{1}\tilde{q}_{2}$ + ${ }\phi_{1}\tilde{q}_{1}^{2}\tilde{q}_{2}$	1.3928	1.5665	0.8891	[X:[1.4066], M:[0.7382, 1.042], q:[0.395, 0.6917], qb:[0.5701, 0.563], phi:[0.2967]]	t^2.21 + t^2.67 + t^2.9 + t^3.13 + 2*t^3.76 + t^3.79 + t^4.22 + t^4.43 + 2*t^4.65 + 2*t^4.68 + t^4.88 + 3*t^5.34 + t^5.54 + 2*t^5.57 + t^5.79 + t^5.8 + 2*t^5.98 - 3*t^6. - t^3.89/y - t^4.78/y - t^3.89*y - t^4.78*y	detail
59422	${}M_{1}\phi_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }M_{2}q_{1}\tilde{q}_{2}$ + ${ }\phi_{1}^{6}$	1.3838	1.5713	0.8807	[X:[1.3333], M:[0.8333, 1.1667], q:[0.3472, 0.6806], qb:[0.4861, 0.4861], phi:[0.3333]]	2*t^2.5 + t^3. + 4*t^3.5 + t^4. + 4*t^4.5 + 2*t^5. + t^5.13 + 2*t^5.37 + 4*t^5.5 + 2*t^6. - t^4./y - t^5./y - t^4.*y - t^5.*y	detail	{a: 1417/1024, c: 1609/1024, X1: 4/3, M1: 5/6, M2: 7/6, q1: 25/72, q2: 49/72, qb1: 35/72, qb2: 35/72, phi1: 1/3}

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
47917	SU3adj1nf2	${}M_{1}\phi_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}X_{1}$	1.4047	1.592	0.8823	[X:[1.371], M:[0.7758], q:[0.384, 0.6985], qb:[0.5257, 0.5047], phi:[0.3145]]	t^2.327 + t^2.666 + t^2.729 + t^2.83 + 2*t^3.61 + t^3.673 + t^4.113 + 2*t^4.553 + 2*t^4.616 + t^4.655 + t^4.994 + t^5.158 + t^5.333 + t^5.343 + t^5.396 + t^5.458 + 2*t^5.497 + t^5.549 + 2*t^5.56 + t^5.612 + t^5.661 + t^5.937 - 4*t^6. - t^3.943/y - t^4.887/y - t^3.943*y - t^4.887*y	detail