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
9012	Sp2adj1nf1	${}\phi_{1}^{2}X_{1}$ + ${ }M_{1}q_{1}q_{2}$ + ${ }M_{2}\phi_{1}q_{1}^{2}$ + ${ }M_{3}\phi_{1}q_{2}^{2}$ + ${ }M_{4}\phi_{1}q_{1}q_{2}$ + ${ }\phi_{1}^{4}X_{2}$ + ${ }M_{2}M_{4}$ + ${ }M_{2}M_{5}$ + ${ }M_{6}\phi_{1}^{3}q_{1}^{2}$	1.1575	1.2943	0.8943	[X:[1.621, 1.2421], M:[1.1369, 1.0526, 0.8422, 0.9474, 0.9474, 0.6736], q:[0.379, 0.4842], qb:[], phi:[0.1895]]	[X:[[2], [4]], M:[[-6], [5], [-15], [-5], [-5], [7]], q:[[-2], [8]], qb:[], phi:[[-1]]]	1

Relevant Operators	Marginal Operators	$n_{marginal}$$-$$|F_{IR}|$	Superconformal Index	Refined index
${}M_{6}$, ${ }M_{3}$, ${ }M_{4}$, ${ }M_{5}$, ${ }M_{1}$, ${ }\phi_{1}^{2}q_{1}q_{2}$, ${ }X_{2}$, ${ }M_{6}^{2}$, ${ }\phi_{1}^{3}q_{1}q_{2}$, ${ }M_{3}M_{6}$, ${ }\phi_{1}^{3}q_{2}^{2}$, ${ }M_{4}M_{6}$, ${ }M_{5}M_{6}$, ${ }X_{1}$, ${ }M_{3}^{2}$, ${ }M_{3}M_{4}$, ${ }M_{3}M_{5}$, ${ }M_{1}M_{6}$, ${ }M_{4}^{2}$, ${ }M_{4}M_{5}$, ${ }M_{5}^{2}$, ${ }M_{6}\phi_{1}^{2}q_{1}q_{2}$, ${ }M_{6}X_{2}$, ${ }M_{1}M_{3}$	${}$	-2	t^2.02 + t^2.53 + 2*t^2.84 + t^3.41 + 2*t^3.73 + t^4.04 + t^4.29 + t^4.55 + t^4.61 + 3*t^4.86 + t^5.05 + 2*t^5.37 + t^5.43 + 2*t^5.68 + 2*t^5.75 + t^5.94 - 2*t^6. + t^6.06 + 3*t^6.25 + 4*t^6.57 + t^6.63 + t^6.82 + 2*t^6.88 + t^7.07 + 4*t^7.14 + 2*t^7.39 + 4*t^7.45 + t^7.58 + 3*t^7.71 + 2*t^7.77 + 2*t^7.9 + t^7.96 - t^8.02 + t^8.08 + 2*t^8.21 + 5*t^8.27 + t^8.34 + t^8.46 + 3*t^8.59 + t^8.65 + 3*t^8.78 - 4*t^8.84 + 3*t^8.91 + t^8.27/y^2 - t^8.59/y^2 - t^3.57/y - t^4.71/y - t^5.59/y - t^6.09/y - (2*t^6.41)/y - t^6.73/y - t^6.98/y - t^7.23/y - t^7.29/y - t^7.61/y + (2*t^7.86)/y - (2*t^8.12)/y + (2*t^8.37)/y - (2*t^8.43)/y - t^8.62/y + (2*t^8.68)/y + t^8.75/y - t^8.94/y - t^3.57*y - t^4.71*y - t^5.59*y - t^6.09*y - 2*t^6.41*y - t^6.73*y - t^6.98*y - t^7.23*y - t^7.29*y - t^7.61*y + 2*t^7.86*y - 2*t^8.12*y + 2*t^8.37*y - 2*t^8.43*y - t^8.62*y + 2*t^8.68*y + t^8.75*y - t^8.94*y + t^8.27*y^2 - t^8.59*y^2	g1^7*t^2.02 + t^2.53/g1^15 + (2*t^2.84)/g1^5 + t^3.41/g1^6 + 2*g1^4*t^3.73 + g1^14*t^4.04 + g1^3*t^4.29 + t^4.55/g1^8 + g1^13*t^4.61 + 3*g1^2*t^4.86 + t^5.05/g1^30 + (2*t^5.37)/g1^20 + g1*t^5.43 + (2*t^5.68)/g1^10 + 2*g1^11*t^5.75 + t^5.94/g1^21 - 2*t^6. + g1^21*t^6.06 + (3*t^6.25)/g1^11 + (4*t^6.57)/g1 + g1^20*t^6.63 + t^6.82/g1^12 + 2*g1^9*t^6.88 + t^7.07/g1^23 + (4*t^7.14)/g1^2 + (2*t^7.39)/g1^13 + 4*g1^8*t^7.45 + t^7.58/g1^45 + (3*t^7.71)/g1^3 + 2*g1^18*t^7.77 + (2*t^7.9)/g1^35 + t^7.96/g1^14 - g1^7*t^8.02 + g1^28*t^8.08 + (2*t^8.21)/g1^25 + (5*t^8.27)/g1^4 + g1^17*t^8.34 + t^8.46/g1^36 + 3*g1^6*t^8.59 + g1^27*t^8.65 + (3*t^8.78)/g1^26 - (4*t^8.84)/g1^5 + 3*g1^16*t^8.91 + t^8.27/(g1^4*y^2) - (g1^6*t^8.59)/y^2 - t^3.57/(g1*y) - t^4.71/(g1^3*y) - (g1^6*t^5.59)/y - t^6.09/(g1^16*y) - (2*t^6.41)/(g1^6*y) - (g1^4*t^6.73)/y - t^6.98/(g1^7*y) - t^7.23/(g1^18*y) - (g1^3*t^7.29)/y - (g1^13*t^7.61)/y + (2*g1^2*t^7.86)/y - (2*t^8.12)/(g1^9*y) + (2*t^8.37)/(g1^20*y) - (2*g1*t^8.43)/y - t^8.62/(g1^31*y) + (2*t^8.68)/(g1^10*y) + (g1^11*t^8.75)/y - t^8.94/(g1^21*y) - (t^3.57*y)/g1 - (t^4.71*y)/g1^3 - g1^6*t^5.59*y - (t^6.09*y)/g1^16 - (2*t^6.41*y)/g1^6 - g1^4*t^6.73*y - (t^6.98*y)/g1^7 - (t^7.23*y)/g1^18 - g1^3*t^7.29*y - g1^13*t^7.61*y + 2*g1^2*t^7.86*y - (2*t^8.12*y)/g1^9 + (2*t^8.37*y)/g1^20 - 2*g1*t^8.43*y - (t^8.62*y)/g1^31 + (2*t^8.68*y)/g1^10 + g1^11*t^8.75*y - (t^8.94*y)/g1^21 + (t^8.27*y^2)/g1^4 - g1^6*t^8.59*y^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
9067	${}\phi_{1}^{2}X_{1}$ + ${ }M_{1}q_{1}q_{2}$ + ${ }M_{2}\phi_{1}q_{1}^{2}$ + ${ }M_{3}\phi_{1}q_{2}^{2}$ + ${ }M_{4}\phi_{1}q_{1}q_{2}$ + ${ }\phi_{1}^{4}X_{2}$ + ${ }M_{2}M_{4}$ + ${ }M_{2}M_{5}$ + ${ }M_{6}\phi_{1}^{3}q_{1}^{2}$ + ${ }M_{6}^{2}$ + ${ }M_{3}X_{3}$	0.8659	0.9462	0.9151	[X:[1.7143, 1.4286, 1.8571], M:[0.8571, 1.2857, 0.1429, 0.7143, 0.7143, 1.0], q:[0.2857, 0.8571], qb:[], phi:[0.1429]]	2*t^2.14 + t^2.57 + t^3. + 4*t^4.29 + 2*t^4.71 + 3*t^5.14 + t^5.57 - t^6. - t^3.43/y - t^4.29/y - (2*t^5.57)/y - t^6./y - t^3.43*y - t^4.29*y - 2*t^5.57*y - t^6.*y	detail	{a: 297/343, c: 5193/5488, X1: 12/7, X2: 10/7, X3: 13/7, M1: 6/7, M2: 9/7, M3: 1/7, M4: 5/7, M5: 5/7, M6: 1, q1: 2/7, q2: 6/7, phi1: 1/7}

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
8889	Sp2adj1nf1	${}\phi_{1}^{2}X_{1}$ + ${ }M_{1}q_{1}q_{2}$ + ${ }M_{2}\phi_{1}q_{1}^{2}$ + ${ }M_{3}\phi_{1}q_{2}^{2}$ + ${ }M_{4}\phi_{1}q_{1}q_{2}$ + ${ }\phi_{1}^{4}X_{2}$ + ${ }M_{2}M_{4}$ + ${ }M_{2}M_{5}$	1.1367	1.2531	0.907	[X:[1.6212, 1.2425], M:[1.1363, 1.0531, 0.8408, 0.9469, 0.9469], q:[0.3788, 0.4849], qb:[], phi:[0.1894]]	t^2.52 + 2*t^2.84 + t^3.41 + 2*t^3.73 + t^3.98 + t^4.3 + t^4.61 + t^4.86 + t^5.04 + 2*t^5.36 + 2*t^5.68 + t^5.93 - 2*t^6. - t^3.57/y - t^4.7/y - t^3.57*y - t^4.7*y	detail