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
4555	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{5}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{4}M_{6}$ + ${ }M_{4}M_{7}$ + ${ }M_{8}\phi_{1}q_{2}^{2}$	0.7316	0.9191	0.796	[M:[1.0342, 0.8973, 0.8631, 1.0685, 1.0, 0.9315, 0.9315, 0.6882], q:[0.5513, 0.4144], qb:[0.5856, 0.5171], phi:[0.4829]]	[M:[[2], [-6], [-8], [4], [0], [-4], [-4], [11]], q:[[3], [-5]], qb:[[5], [1]], phi:[[-1]]]	1

Relevant Operators	Marginal Operators	$n_{marginal}$$-$$|F_{IR}|$	Superconformal Index	Refined index
${}M_{8}$, ${ }M_{3}$, ${ }M_{2}$, ${ }M_{6}$, ${ }M_{7}$, ${ }\phi_{1}^{2}$, ${ }M_{5}$, ${ }M_{1}$, ${ }M_{8}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{3}M_{8}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{2}M_{8}$, ${ }\phi_{1}q_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{6}M_{8}$, ${ }M_{7}M_{8}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{8}\phi_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{5}M_{8}$, ${ }M_{1}M_{8}$, ${ }M_{3}^{2}$, ${ }M_{2}M_{3}$, ${ }M_{2}^{2}$, ${ }M_{3}M_{6}$, ${ }M_{3}M_{7}$, ${ }M_{2}M_{6}$, ${ }M_{2}M_{7}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{3}M_{5}$, ${ }M_{6}^{2}$, ${ }M_{6}M_{7}$, ${ }M_{7}^{2}$, ${ }M_{2}\phi_{1}^{2}$, ${ }M_{1}M_{3}$, ${ }M_{2}M_{5}$, ${ }M_{6}\phi_{1}^{2}$, ${ }M_{7}\phi_{1}^{2}$, ${ }M_{1}M_{2}$, ${ }M_{5}M_{6}$, ${ }M_{5}M_{7}$, ${ }\phi_{1}^{4}$, ${ }M_{1}M_{6}$, ${ }M_{1}M_{7}$, ${ }M_{5}\phi_{1}^{2}$	${}$	-2	t^2.065 + t^2.589 + t^2.692 + 2*t^2.795 + t^2.897 + t^3. + t^3.103 + t^4.129 + t^4.243 + t^4.346 + t^4.449 + t^4.551 + 2*t^4.654 + 3*t^4.757 + 3*t^4.859 + 2*t^4.962 + t^5.065 + t^5.167 + t^5.179 + t^5.281 + 3*t^5.384 + 2*t^5.487 + 4*t^5.589 + 3*t^5.692 + 3*t^5.795 + t^5.897 - 2*t^6. - t^6.103 + t^6.194 - t^6.205 + t^6.616 + 2*t^6.719 + 3*t^6.821 + t^6.833 + 3*t^6.924 + t^6.935 + 2*t^7.027 + 2*t^7.038 + t^7.129 + 3*t^7.141 + t^7.232 + 5*t^7.243 + 5*t^7.346 + 6*t^7.449 + 6*t^7.551 + 6*t^7.654 + 5*t^7.757 + t^7.768 + 3*t^7.859 + t^7.871 + 3*t^7.973 - 3*t^8.065 + 3*t^8.076 - 2*t^8.167 + 5*t^8.179 + t^8.259 - t^8.27 + 4*t^8.281 + 6*t^8.384 + 4*t^8.487 + t^8.681 - t^8.692 + 2*t^8.784 - 6*t^8.795 + 3*t^8.886 - 4*t^8.897 + 3*t^8.989 - t^4.449/y - t^6.513/y - t^7.038/y - t^7.141/y - t^7.243/y + (2*t^7.654)/y + (2*t^7.757)/y + (3*t^7.859)/y + t^7.962/y + t^8.065/y + t^8.167/y + t^8.281/y + (3*t^8.384)/y + (3*t^8.487)/y - t^8.578/y + (3*t^8.589)/y + (4*t^8.692)/y + (3*t^8.795)/y + (3*t^8.897)/y - t^4.449*y - t^6.513*y - t^7.038*y - t^7.141*y - t^7.243*y + 2*t^7.654*y + 2*t^7.757*y + 3*t^7.859*y + t^7.962*y + t^8.065*y + t^8.167*y + t^8.281*y + 3*t^8.384*y + 3*t^8.487*y - t^8.578*y + 3*t^8.589*y + 4*t^8.692*y + 3*t^8.795*y + 3*t^8.897*y	g1^11*t^2.065 + t^2.589/g1^8 + t^2.692/g1^6 + (2*t^2.795)/g1^4 + t^2.897/g1^2 + t^3. + g1^2*t^3.103 + g1^22*t^4.129 + t^4.243/g1^5 + t^4.346/g1^3 + t^4.449/g1 + g1*t^4.551 + 2*g1^3*t^4.654 + 3*g1^5*t^4.757 + 3*g1^7*t^4.859 + 2*g1^9*t^4.962 + g1^11*t^5.065 + g1^13*t^5.167 + t^5.179/g1^16 + t^5.281/g1^14 + (3*t^5.384)/g1^12 + (2*t^5.487)/g1^10 + (4*t^5.589)/g1^8 + (3*t^5.692)/g1^6 + (3*t^5.795)/g1^4 + t^5.897/g1^2 - 2*t^6. - g1^2*t^6.103 + g1^33*t^6.194 - g1^4*t^6.205 + g1^12*t^6.616 + 2*g1^14*t^6.719 + 3*g1^16*t^6.821 + t^6.833/g1^13 + 3*g1^18*t^6.924 + t^6.935/g1^11 + 2*g1^20*t^7.027 + (2*t^7.038)/g1^9 + g1^22*t^7.129 + (3*t^7.141)/g1^7 + g1^24*t^7.232 + (5*t^7.243)/g1^5 + (5*t^7.346)/g1^3 + (6*t^7.449)/g1 + 6*g1*t^7.551 + 6*g1^3*t^7.654 + 5*g1^5*t^7.757 + t^7.768/g1^24 + 3*g1^7*t^7.859 + t^7.871/g1^22 + (3*t^7.973)/g1^20 - 3*g1^11*t^8.065 + (3*t^8.076)/g1^18 - 2*g1^13*t^8.167 + (5*t^8.179)/g1^16 + g1^44*t^8.259 - g1^15*t^8.27 + (4*t^8.281)/g1^14 + (6*t^8.384)/g1^12 + (4*t^8.487)/g1^10 + g1^23*t^8.681 - t^8.692/g1^6 + 2*g1^25*t^8.784 - (6*t^8.795)/g1^4 + 3*g1^27*t^8.886 - (4*t^8.897)/g1^2 + 3*g1^29*t^8.989 - t^4.449/(g1*y) - (g1^10*t^6.513)/y - t^7.038/(g1^9*y) - t^7.141/(g1^7*y) - t^7.243/(g1^5*y) + (2*g1^3*t^7.654)/y + (2*g1^5*t^7.757)/y + (3*g1^7*t^7.859)/y + (g1^9*t^7.962)/y + (g1^11*t^8.065)/y + (g1^13*t^8.167)/y + t^8.281/(g1^14*y) + (3*t^8.384)/(g1^12*y) + (3*t^8.487)/(g1^10*y) - (g1^21*t^8.578)/y + (3*t^8.589)/(g1^8*y) + (4*t^8.692)/(g1^6*y) + (3*t^8.795)/(g1^4*y) + (3*t^8.897)/(g1^2*y) - (t^4.449*y)/g1 - g1^10*t^6.513*y - (t^7.038*y)/g1^9 - (t^7.141*y)/g1^7 - (t^7.243*y)/g1^5 + 2*g1^3*t^7.654*y + 2*g1^5*t^7.757*y + 3*g1^7*t^7.859*y + g1^9*t^7.962*y + g1^11*t^8.065*y + g1^13*t^8.167*y + (t^8.281*y)/g1^14 + (3*t^8.384*y)/g1^12 + (3*t^8.487*y)/g1^10 - g1^21*t^8.578*y + (3*t^8.589*y)/g1^8 + (4*t^8.692*y)/g1^6 + (3*t^8.795*y)/g1^4 + (3*t^8.897*y)/g1^2

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
6051	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{5}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{4}M_{6}$ + ${ }M_{4}M_{7}$ + ${ }M_{8}\phi_{1}q_{2}^{2}$ + ${ }M_{1}M_{8}$	0.6903	0.8778	0.7864	[M:[1.0769, 0.7692, 0.6923, 1.1538, 1.0, 0.8462, 0.8462, 0.9231], q:[0.6154, 0.3077], qb:[0.6923, 0.5385], phi:[0.4615]]	t^2.077 + t^2.308 + 2*t^2.538 + 2*t^2.769 + t^3. + t^3.231 + t^3.923 + 2*t^4.154 + 2*t^4.385 + 4*t^4.615 + 4*t^4.846 + 7*t^5.077 + 6*t^5.308 + 6*t^5.538 + 2*t^5.769 - t^4.385/y - t^4.385*y	detail	{a: 3033/4394, c: 30855/35152, M1: 14/13, M2: 10/13, M3: 9/13, M4: 15/13, M5: 1, M6: 11/13, M7: 11/13, M8: 12/13, q1: 8/13, q2: 4/13, qb1: 9/13, qb2: 7/13, phi1: 6/13}
6048	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{5}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{4}M_{6}$ + ${ }M_{4}M_{7}$ + ${ }M_{8}\phi_{1}q_{2}^{2}$ + ${ }M_{8}^{2}$ + ${ }M_{3}X_{1}$	0.6391	0.8039	0.795	[X:[1.3636], M:[1.0909, 0.7273, 0.6364, 1.1818, 1.0, 0.8182, 0.8182, 1.0], q:[0.6364, 0.2727], qb:[0.7273, 0.5455], phi:[0.4545]]	t^2.182 + 2*t^2.455 + t^2.727 + 2*t^3. + t^3.273 + t^3.818 + 2*t^4.091 + 2*t^4.364 + 2*t^4.636 + 4*t^4.909 + 5*t^5.182 + 6*t^5.455 + 3*t^5.727 - t^4.364/y - t^4.364*y	detail	{a: 13611/21296, c: 1070/1331, X1: 15/11, M1: 12/11, M2: 8/11, M3: 7/11, M4: 13/11, M5: 1, M6: 9/11, M7: 9/11, M8: 1, q1: 7/11, q2: 3/11, qb1: 8/11, qb2: 6/11, phi1: 5/11}

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
2509	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{5}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{4}M_{6}$ + ${ }M_{4}M_{7}$	0.7109	0.8797	0.8082	[M:[1.0363, 0.8911, 0.8549, 1.0726, 1.0, 0.9274, 0.9274], q:[0.5544, 0.4093], qb:[0.5907, 0.5181], phi:[0.4819]]	t^2.565 + t^2.673 + 2*t^2.782 + t^2.891 + t^3. + t^3.109 + t^3.901 + t^4.228 + t^4.337 + t^4.446 + t^4.554 + t^4.663 + 2*t^4.772 + t^4.881 + t^4.99 + t^5.129 + t^5.238 + 3*t^5.347 + 2*t^5.456 + 4*t^5.565 + 3*t^5.673 + 3*t^5.782 + t^5.891 - 2*t^6. - t^4.446/y - t^4.446*y	detail