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
58942	SU3adj1nf2	${}\phi_{1}^{4}$ + ${ }q_{1}\tilde{q}_{1}X_{1}$ + ${ }q_{2}\tilde{q}_{1}X_{2}$ + ${ }q_{1}\tilde{q}_{2}X_{3}$ + ${ }q_{2}\tilde{q}_{2}X_{4}$ + ${ }M_{1}\phi_{1}q_{1}^{2}q_{2}$ + ${ }M_{2}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}\phi_{1}q_{1}q_{2}^{2}$	1.0244	1.2604	0.8128	[X:[1.5101, 1.5101, 1.4899, 1.4899], M:[0.7349, 0.755, 0.7349], q:[0.255, 0.255], qb:[0.2349, 0.255], phi:[0.5]]	[X:[[0, 0, -1], [0, -1, 0], [0, 1, 0], [0, 0, 1]], M:[[3, 2, 1], [-3, -1, -1], [3, 1, 2]], q:[[-1, -1, 0], [-1, 0, -1]], qb:[[1, 1, 1], [1, 0, 0]], phi:[[0, 0, 0]]]	3

Relevant Operators	Marginal Operators	$n_{marginal}$$-$$|F_{IR}|$	Superconformal Index	Refined index
${}M_{1}$, ${ }M_{3}$, ${ }M_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}\tilde{q}_{2}$, ${ }M_{1}^{2}$, ${ }M_{1}M_{3}$, ${ }M_{3}^{2}$, ${ }M_{1}M_{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$, ${ }X_{3}$, ${ }M_{2}M_{3}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{1}$, ${ }X_{4}$, ${ }\phi_{1}^{3}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{2}$, ${ }X_{2}$, ${ }M_{2}^{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$, ${ }X_{1}$, ${ }M_{1}\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{1}\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{3}\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{2}\tilde{q}_{1}^{2}\tilde{q}_{2}$, ${ }M_{3}\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{1}\phi_{1}^{2}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{2}\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{1}\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{2}\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{1}\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{3}\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}^{2}$, ${ }M_{3}\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{2}\phi_{1}^{2}$, ${ }\phi_{1}^{2}q_{1}q_{2}^{2}$, ${ }M_{2}\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{1}^{2}q_{2}$, ${ }M_{2}\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{1}\phi_{1}\tilde{q}_{1}^{2}\tilde{q}_{2}$, ${ }M_{3}\phi_{1}\tilde{q}_{1}^{2}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{2}^{2}\tilde{q}_{1}^{2}$, ${ }\phi_{1}^{2}q_{1}q_{2}\tilde{q}_{1}^{2}$, ${ }M_{2}\phi_{1}\tilde{q}_{1}^{2}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{1}^{2}\tilde{q}_{1}^{2}$	${}\phi_{1}^{2}q_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{1}q_{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$	-2	2*t^2.2 + t^2.27 + 2*t^2.97 + t^3. + 2*t^3.03 + t^3.67 + 3*t^4.41 + 6*t^4.47 + t^4.5 + 5*t^4.53 + 5*t^5.17 + 2*t^5.2 + 7*t^5.23 + t^5.27 + 4*t^5.3 + 2*t^5.88 + 3*t^5.94 - 2*t^6. + 2*t^6.06 + 5*t^6.61 + 2*t^6.64 + 12*t^6.67 + 14*t^6.73 - t^6.77 + 8*t^6.8 - 2*t^6.83 + t^7.35 + 8*t^7.38 + 3*t^7.41 + 20*t^7.44 + 4*t^7.47 + 22*t^7.5 + 3*t^7.53 + 11*t^7.56 + 3*t^8.08 - t^8.11 + 8*t^8.14 - t^8.2 - t^8.23 - 4*t^8.27 - 5*t^8.3 - 2*t^8.33 + 7*t^8.82 + 5*t^8.85 + 19*t^8.88 + 4*t^8.91 + 31*t^8.94 - 14*t^8.97 - t^4.5/y - t^6./y - (2*t^6.7)/y - t^6.77/y + t^7.41/y + (2*t^7.47)/y + t^7.5/y + (4*t^8.17)/y + (7*t^8.23)/y + (4*t^8.3)/y + (2*t^8.88)/y - (3*t^8.91)/y + (2*t^8.94)/y - (4*t^8.97)/y - t^4.5*y - t^6.*y - 2*t^6.7*y - t^6.77*y + t^7.41*y + 2*t^7.47*y + t^7.5*y + 4*t^8.17*y + 7*t^8.23*y + 4*t^8.3*y + 2*t^8.88*y - 3*t^8.91*y + 2*t^8.94*y - 4*t^8.97*y	g1^3*g2^2*g3*t^2.2 + g1^3*g2*g3^2*t^2.2 + t^2.27/(g1^3*g2*g3) + g2*t^2.97 + g3*t^2.97 + t^3. + t^3.03/g2 + t^3.03/g3 + g1^3*g2^2*g3^2*t^3.67 + g1^6*g2^4*g3^2*t^4.41 + g1^6*g2^3*g3^3*t^4.41 + g1^6*g2^2*g3^4*t^4.41 + 3*g2*t^4.47 + 3*g3*t^4.47 + t^4.5 + (2*t^4.53)/g2 + t^4.53/(g1^6*g2^2*g3^2) + (2*t^4.53)/g3 + g1^3*g2^3*g3*t^5.17 + 3*g1^3*g2^2*g3^2*t^5.17 + g1^3*g2*g3^3*t^5.17 + g1^3*g2^2*g3*t^5.2 + g1^3*g2*g3^2*t^5.2 + t^5.23/(g1^3*g2) + g1^3*g2^2*t^5.23 + t^5.23/(g1^3*g3) + 3*g1^3*g2*g3*t^5.23 + g1^3*g3^2*t^5.23 + t^5.27/(g1^3*g2*g3) + (2*t^5.3)/(g1^3*g2*g3^2) + (2*t^5.3)/(g1^3*g2^2*g3) + g1^6*g2^4*g3^3*t^5.88 + g1^6*g2^3*g3^4*t^5.88 + g2^2*t^5.94 + g2*g3*t^5.94 + g3^2*t^5.94 - 2*t^6. + t^6.06/g2^2 + t^6.06/g3^2 + g1^3*g2^3*g3^3*t^6.61 + g1^9*g2^6*g3^3*t^6.61 + g1^9*g2^5*g3^4*t^6.61 + g1^9*g2^4*g3^5*t^6.61 + g1^9*g2^3*g3^6*t^6.61 + g1^3*g2^3*g3^2*t^6.64 + g1^3*g2^2*g3^3*t^6.64 + 3*g1^3*g2^3*g3*t^6.67 + 6*g1^3*g2^2*g3^2*t^6.67 + 3*g1^3*g2*g3^3*t^6.67 + (3*t^6.73)/(g1^3*g2) + 2*g1^3*g2^2*t^6.73 + (3*t^6.73)/(g1^3*g3) + 4*g1^3*g2*g3*t^6.73 + 2*g1^3*g3^2*t^6.73 - t^6.77/(g1^3*g2*g3) + g1^3*t^6.8 + t^6.8/(g1^3*g2^3) + t^6.8/(g1^3*g3^3) + t^6.8/(g1^9*g2^3*g3^3) + (2*t^6.8)/(g1^3*g2*g3^2) + (2*t^6.8)/(g1^3*g2^2*g3) - (2*t^6.83)/(g1^3*g2^2*g3^2) + g1^6*g2^4*g3^4*t^7.35 + g1^6*g2^5*g3^2*t^7.38 + 3*g1^6*g2^4*g3^3*t^7.38 + 3*g1^6*g2^3*g3^4*t^7.38 + g1^6*g2^2*g3^5*t^7.38 + g1^6*g2^4*g3^2*t^7.41 + g1^6*g2^3*g3^3*t^7.41 + g1^6*g2^2*g3^4*t^7.41 + 3*g2^2*t^7.44 + 6*g2*g3*t^7.44 + g1^6*g2^4*g3*t^7.44 + 3*g3^2*t^7.44 + 3*g1^6*g2^3*g3^2*t^7.44 + 3*g1^6*g2^2*g3^3*t^7.44 + g1^6*g2*g3^4*t^7.44 + 2*g2*t^7.47 + 2*g3*t^7.47 + 10*t^7.5 + t^7.5/(g1^6*g2*g3^2) + t^7.5/(g1^6*g2^2*g3) + (5*g2*t^7.5)/g3 + (5*g3*t^7.5)/g2 + t^7.53/g2 + t^7.53/(g1^6*g2^2*g3^2) + t^7.53/g3 + (2*t^7.56)/g2^2 + (2*t^7.56)/(g1^6*g2^2*g3^3) + (2*t^7.56)/g3^2 + (2*t^7.56)/(g1^6*g2^3*g3^2) + (3*t^7.56)/(g2*g3) + g1^9*g2^6*g3^4*t^8.08 + g1^9*g2^5*g3^5*t^8.08 + g1^9*g2^4*g3^6*t^8.08 - g1^3*g2^3*g3^3*t^8.11 + g1^3*g2^4*g3*t^8.14 + 3*g1^3*g2^3*g3^2*t^8.14 + 3*g1^3*g2^2*g3^3*t^8.14 + g1^3*g2*g3^4*t^8.14 + t^8.2/g1^3 + (g2*t^8.2)/(g1^3*g3) + (g3*t^8.2)/(g1^3*g2) - 2*g1^3*g2^2*g3*t^8.2 - 2*g1^3*g2*g3^2*t^8.2 - g1^3*g2*g3*t^8.23 - t^8.27/(g1^3*g2^2) - t^8.27/(g1^3*g3^2) - (4*t^8.27)/(g1^3*g2*g3) + (g1^3*g2^2*t^8.27)/g3 + (g1^3*g3^2*t^8.27)/g2 - g1^3*t^8.3 - t^8.3/(g1^3*g2^3) - t^8.3/(g1^3*g3^3) - t^8.3/(g1^3*g2*g3^2) - t^8.3/(g1^3*g2^2*g3) - (2*t^8.33)/(g1^3*g2^2*g3^2) + g1^6*g2^5*g3^4*t^8.82 + g1^12*g2^8*g3^4*t^8.82 + g1^6*g2^4*g3^5*t^8.82 + g1^12*g2^7*g3^5*t^8.82 + g1^12*g2^6*g3^6*t^8.82 + g1^12*g2^5*g3^7*t^8.82 + g1^12*g2^4*g3^8*t^8.82 + g1^6*g2^5*g3^3*t^8.85 + 3*g1^6*g2^4*g3^4*t^8.85 + g1^6*g2^3*g3^5*t^8.85 + g2^2*g3^2*t^8.88 + 3*g1^6*g2^5*g3^2*t^8.88 + 6*g1^6*g2^4*g3^3*t^8.88 + 6*g1^6*g2^3*g3^4*t^8.88 + 3*g1^6*g2^2*g3^5*t^8.88 + g2^3*t^8.91 + g2^2*g3*t^8.91 + g2*g3^2*t^8.91 + g3^3*t^8.91 + 6*g2^2*t^8.94 + 7*g2*g3*t^8.94 + 2*g1^6*g2^4*g3*t^8.94 + 6*g3^2*t^8.94 + 4*g1^6*g2^3*g3^2*t^8.94 + 4*g1^6*g2^2*g3^3*t^8.94 + 2*g1^6*g2*g3^4*t^8.94 - 7*g2*t^8.97 - 7*g3*t^8.97 - t^4.5/y - t^6./y - (g1^3*g2^2*g3*t^6.7)/y - (g1^3*g2*g3^2*t^6.7)/y - t^6.77/(g1^3*g2*g3*y) + (g1^6*g2^3*g3^3*t^7.41)/y + (g2*t^7.47)/y + (g3*t^7.47)/y + t^7.5/y + (g1^3*g2^3*g3*t^8.17)/y + (2*g1^3*g2^2*g3^2*t^8.17)/y + (g1^3*g2*g3^3*t^8.17)/y + t^8.23/(g1^3*g2*y) + (g1^3*g2^2*t^8.23)/y + t^8.23/(g1^3*g3*y) + (3*g1^3*g2*g3*t^8.23)/y + (g1^3*g3^2*t^8.23)/y + (2*t^8.3)/(g1^3*g2*g3^2*y) + (2*t^8.3)/(g1^3*g2^2*g3*y) + (g1^6*g2^4*g3^3*t^8.88)/y + (g1^6*g2^3*g3^4*t^8.88)/y - (g1^6*g2^4*g3^2*t^8.91)/y - (g1^6*g2^3*g3^3*t^8.91)/y - (g1^6*g2^2*g3^4*t^8.91)/y + (2*g2*g3*t^8.94)/y - (2*g2*t^8.97)/y - (2*g3*t^8.97)/y - t^4.5*y - t^6.*y - g1^3*g2^2*g3*t^6.7*y - g1^3*g2*g3^2*t^6.7*y - (t^6.77*y)/(g1^3*g2*g3) + g1^6*g2^3*g3^3*t^7.41*y + g2*t^7.47*y + g3*t^7.47*y + t^7.5*y + g1^3*g2^3*g3*t^8.17*y + 2*g1^3*g2^2*g3^2*t^8.17*y + g1^3*g2*g3^3*t^8.17*y + (t^8.23*y)/(g1^3*g2) + g1^3*g2^2*t^8.23*y + (t^8.23*y)/(g1^3*g3) + 3*g1^3*g2*g3*t^8.23*y + g1^3*g3^2*t^8.23*y + (2*t^8.3*y)/(g1^3*g2*g3^2) + (2*t^8.3*y)/(g1^3*g2^2*g3) + g1^6*g2^4*g3^3*t^8.88*y + g1^6*g2^3*g3^4*t^8.88*y - g1^6*g2^4*g3^2*t^8.91*y - g1^6*g2^3*g3^3*t^8.91*y - g1^6*g2^2*g3^4*t^8.91*y + 2*g2*g3*t^8.94*y - 2*g2*t^8.97*y - 2*g3*t^8.97*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
61146	${}\phi_{1}^{4}$ + ${ }q_{1}\tilde{q}_{1}X_{1}$ + ${ }q_{2}\tilde{q}_{1}X_{2}$ + ${ }q_{1}\tilde{q}_{2}X_{3}$ + ${ }q_{2}\tilde{q}_{2}X_{4}$ + ${ }M_{1}\phi_{1}q_{1}^{2}q_{2}$ + ${ }M_{2}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}\phi_{1}q_{1}q_{2}^{2}$ + ${ }M_{4}\phi_{1}q_{1}\tilde{q}_{2}$	1.0272	1.2675	0.8104	[X:[1.5117, 1.5479, 1.4521, 1.4883], M:[0.7144, 0.7377, 0.7506, 0.9521], q:[0.274, 0.2377], qb:[0.2144, 0.274], phi:[0.5]]	t^2.14 + t^2.21 + t^2.25 + 2*t^2.86 + t^2.96 + t^3. + t^3.04 + t^3.61 + t^4.29 + 3*t^4.36 + t^4.39 + t^4.43 + 3*t^4.46 + 2*t^4.5 + 2*t^4.54 + 2*t^4.64 + 2*t^5. + 2*t^5.07 + 4*t^5.11 + t^5.14 + 2*t^5.18 + t^5.21 + t^5.22 + 3*t^5.25 + 2*t^5.29 + t^5.36 + 3*t^5.71 + t^5.75 + 2*t^5.82 + 2*t^5.86 + t^5.89 + t^5.93 - 3*t^6. - t^4.5/y - t^6./y - t^4.5*y - t^6.*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
57746	SU3adj1nf2	${}\phi_{1}^{4}$ + ${ }q_{1}\tilde{q}_{1}X_{1}$ + ${ }q_{2}\tilde{q}_{1}X_{2}$ + ${ }q_{1}\tilde{q}_{2}X_{3}$ + ${ }q_{2}\tilde{q}_{2}X_{4}$ + ${ }M_{1}\phi_{1}q_{1}^{2}q_{2}$ + ${ }M_{2}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}^{2}$	1.0052	1.2251	0.8205	[X:[1.5, 1.5176, 1.4824, 1.5], M:[0.7412, 0.7412], q:[0.2588, 0.2412], qb:[0.2412, 0.2588], phi:[0.5]]	2*t^2.22 + t^2.95 + 3*t^3. + t^3.05 + 2*t^3.72 + 5*t^4.45 + 5*t^4.5 + 2*t^4.55 + 2*t^5.17 + 8*t^5.22 + 4*t^5.28 + t^5.89 + 4*t^5.95 - t^4.5/y - t^6./y - t^4.5*y - t^6.*y	detail