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
57980	SU3adj1nf2	${}M_{1}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }\phi_{1}\tilde{q}_{1}^{2}\tilde{q}_{2}$ + ${ }M_{3}\phi_{1}^{3}$	1.4463	1.6245	0.8903	[X:[1.3664], M:[0.9309, 0.97, 1.0496], q:[0.4946, 0.4958], qb:[0.5745, 0.5342], phi:[0.3168]]	[X:[[0, 0, 4]], M:[[1, 2, -12], [-1, -2, 0], [0, 0, 6]], q:[[-1, -1, 11], [1, 0, 0]], qb:[[0, -1, 1], [0, 2, 0]], phi:[[0, 0, -2]]]	3

Relevant Operators	Marginal Operators	$n_{marginal}$$-$$|F_{IR}|$	Superconformal Index	Refined index
${}M_{1}$, ${ }M_{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }M_{3}$, ${ }q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }X_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}q_{2}^{2}$, ${ }\phi_{1}q_{1}^{2}q_{2}$, ${ }M_{1}^{2}$, ${ }M_{1}M_{2}$, ${ }M_{2}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}^{2}$, ${ }M_{1}M_{3}$	${}$	-3	t^2.79 + t^2.91 + t^3.09 + t^3.15 + t^3.21 + 2*t^4.04 + t^4.1 + 2*t^4.16 + 2*t^4.99 + 2*t^5.11 + 2*t^5.41 + t^5.59 + t^5.7 + t^5.82 + t^5.88 + t^5.94 - 3*t^6. + t^6.06 + t^6.17 + t^6.23 + 2*t^6.3 + 3*t^6.36 + t^6.42 + 2*t^6.83 + t^6.89 + t^7.01 + t^7.07 + t^7.12 + t^7.13 + 3*t^7.19 + t^7.24 + 3*t^7.25 + t^7.3 + 6*t^7.31 + t^7.37 + t^7.66 + 2*t^7.78 - 2*t^7.84 + t^7.9 + 2*t^8.02 + 2*t^8.07 + 3*t^8.08 + 2*t^8.14 + t^8.19 + 5*t^8.2 + 2*t^8.26 + 3*t^8.32 + t^8.38 + t^8.49 + 2*t^8.5 + t^8.55 + t^8.56 + t^8.61 + 2*t^8.62 - t^8.67 + 2*t^8.73 - 5*t^8.79 + 2*t^8.85 - 4*t^8.91 + 2*t^8.97 + t^8.85/y^2 - t^3.95/y - t^4.9/y - t^6.74/y - t^6.86/y - t^7.04/y - t^7.1/y - t^7.16/y - t^7.69/y - t^7.81/y - t^7.99/y - t^8.05/y - t^8.11/y + t^8.7/y + t^8.88/y - t^8.94/y - t^3.95*y - t^4.9*y - t^6.74*y - t^6.86*y - t^7.04*y - t^7.1*y - t^7.16*y - t^7.69*y - t^7.81*y - t^7.99*y - t^8.05*y - t^8.11*y + t^8.7*y + t^8.88*y - t^8.94*y + t^8.85*y^2	(g1*g2^2*t^2.79)/g3^12 + t^2.91/(g1*g2^2) + (g2*g3^11*t^3.09)/g1 + g3^6*t^3.15 + (g1*g3*t^3.21)/g2 + (g1*g2^2*t^4.04)/g3^2 + (g2*g3^9*t^4.04)/g1 + g3^4*t^4.1 + (g1*t^4.16)/(g2*g3) + (g3^10*t^4.16)/(g1*g2^2) + (g1*g2^2*t^4.99)/g3^4 + (g2*g3^7*t^4.99)/g1 + (g1*t^5.11)/(g2*g3^3) + (g3^8*t^5.11)/(g1*g2^2) + (g1*g3^9*t^5.41)/g2 + (g3^20*t^5.41)/(g1*g2^2) + (g1^2*g2^4*t^5.59)/g3^24 + t^5.7/g3^12 + t^5.82/(g1^2*g2^4) + (g2^3*t^5.88)/g3 + (g1*g2^2*t^5.94)/g3^6 - 3*t^6. + (g3^6*t^6.06)/(g1*g2^2) + (g2^2*g3^22*t^6.17)/g1^2 + (g2*g3^17*t^6.23)/g1 + 2*g3^12*t^6.3 + (2*g1*g3^7*t^6.36)/g2 + (g3^18*t^6.36)/(g1*g2^2) + (g1^2*g3^2*t^6.42)/g2^2 + (g1^2*g2^4*t^6.83)/g3^14 + (g2^3*t^6.83)/g3^3 + (g1*g2^2*t^6.89)/g3^8 + (g3^4*t^7.01)/(g1*g2^2) + (g3^10*t^7.07)/(g1^2*g2^4) + (g2^2*g3^20*t^7.12)/g1^2 + g2^3*g3^9*t^7.13 + g1*g2^2*g3^4*t^7.19 + (2*g2*g3^15*t^7.19)/g1 + (g3^21*t^7.24)/(g1^2*g2) + (g1^2*g2*t^7.25)/g3 + 2*g3^10*t^7.25 + (g3^27*t^7.3)/(g1^3*g2^3) + (g1^3*t^7.31)/g3^6 + (3*g1*g3^5*t^7.31)/g2 + (2*g3^16*t^7.31)/(g1*g2^2) + (g1^2*t^7.37)/g2^2 + (g2^6*t^7.66)/g3^6 + (g1^2*g2^4*t^7.78)/g3^16 + (g2^3*t^7.78)/g3^5 - (g1*g2^2*t^7.84)/g3^10 - (g2*g3*t^7.84)/g1 + t^7.9/g3^4 + t^8.02/(g2^3*g3^3) + (g3^8*t^8.02)/(g1^2*g2^4) + (2*g2^2*g3^18*t^8.07)/g1^2 + (g1^2*g2^4*t^8.08)/g3^4 + 2*g2^3*g3^7*t^8.08 + g1*g2^2*g3^2*t^8.14 + (g2*g3^13*t^8.14)/g1 + (g3^19*t^8.19)/(g1^2*g2) + (2*g1^2*g2*t^8.2)/g3^3 + 3*g3^8*t^8.2 + (g1*g3^3*t^8.26)/g2 + (g3^14*t^8.26)/(g1*g2^2) + (g1^2*t^8.32)/(g2^2*g3^2) + (g3^9*t^8.32)/g2^3 + (g3^20*t^8.32)/(g1^2*g2^4) + (g1^3*g2^6*t^8.38)/g3^36 + (g3^31*t^8.49)/(g1^2*g2) + (g1*g2^2*t^8.5)/g3^24 + g3^20*t^8.5 + (g3^26*t^8.55)/(g1*g2^2) + (g1*g3^15*t^8.56)/g2 + t^8.61/(g1*g2^2*g3^12) + (g1^2*g3^10*t^8.62)/g2^2 + (g3^21*t^8.62)/g2^3 - (g2^4*t^8.67)/(g1*g3^2) + t^8.73/(g1^3*g2^6) + (g1^2*g2^4*t^8.73)/g3^18 - (4*g1*g2^2*t^8.79)/g3^12 - (g2*t^8.79)/(g1*g3) + (2*t^8.85)/g3^6 - (3*t^8.91)/(g1*g2^2) - (g1*t^8.91)/(g2*g3^11) + (g3^6*t^8.97)/(g1^2*g2^4) + (g2^4*g3^10*t^8.97)/g1 + t^8.85/(g3^6*y^2) - t^3.95/(g3^2*y) - t^4.9/(g3^4*y) - (g1*g2^2*t^6.74)/(g3^14*y) - t^6.86/(g1*g2^2*g3^2*y) - (g2*g3^9*t^7.04)/(g1*y) - (g3^4*t^7.1)/y - (g1*t^7.16)/(g2*g3*y) - (g1*g2^2*t^7.69)/(g3^16*y) - t^7.81/(g1*g2^2*g3^4*y) - (g2*g3^7*t^7.99)/(g1*y) - (g3^2*t^8.05)/y - (g1*t^8.11)/(g2*g3^3*y) + t^8.7/(g3^12*y) + (g2^3*t^8.88)/(g3*y) - (g2*g3^5*t^8.94)/(g1*y) - (t^3.95*y)/g3^2 - (t^4.9*y)/g3^4 - (g1*g2^2*t^6.74*y)/g3^14 - (t^6.86*y)/(g1*g2^2*g3^2) - (g2*g3^9*t^7.04*y)/g1 - g3^4*t^7.1*y - (g1*t^7.16*y)/(g2*g3) - (g1*g2^2*t^7.69*y)/g3^16 - (t^7.81*y)/(g1*g2^2*g3^4) - (g2*g3^7*t^7.99*y)/g1 - g3^2*t^8.05*y - (g1*t^8.11*y)/(g2*g3^3) + (t^8.7*y)/g3^12 + (g2^3*t^8.88*y)/g3 - (g2*g3^5*t^8.94*y)/g1 + (t^8.85*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

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
57307	SU3adj1nf2	${}M_{1}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }\phi_{1}\tilde{q}_{1}^{2}\tilde{q}_{2}$	1.4518	1.6306	0.8903	[X:[1.3795], M:[0.9159, 0.9457], q:[0.5105, 0.5119], qb:[0.5736, 0.5425], phi:[0.3103]]	t^2.748 + t^2.792 + t^2.837 + t^3.159 + t^3.256 + t^4.09 + t^4.094 + t^4.138 + t^4.183 + t^4.187 + t^5.02 + t^5.025 + t^5.114 + t^5.118 + t^5.495 + t^5.529 + t^5.533 + t^5.54 + 2*t^5.585 + t^5.629 + t^5.674 + t^5.906 + t^5.951 - 3*t^6. - t^3.931/y - t^4.862/y - t^3.931*y - t^4.862*y	detail