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
59039	SU3adj1nf2	${}M_{1}\phi_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{1}M_{2}$ + ${ }q_{1}\tilde{q}_{1}X_{1}$ + ${ }q_{2}\tilde{q}_{1}X_{2}$ + ${ }M_{2}M_{3}$	1.2521	1.4537	0.8613	[X:[1.3817, 1.4199], M:[0.9809, 1.0191, 0.9809], q:[0.4016, 0.3635], qb:[0.2166, 0.6134], phi:[0.4008]]	[X:[[0, 2, 0], [0, 0, 2]], M:[[0, 1, -1], [0, -1, 1], [0, 1, -1]], q:[[-1, -6, -4], [-1, -4, -6]], qb:[[1, 4, 4], [1, 0, 0]], phi:[[0, 1, 1]]]	3

Relevant Operators	Marginal Operators	$n_{marginal}$$-$$|F_{IR}|$	Superconformal Index	Refined index
${}\phi_{1}^{2}$, ${ }q_{2}\tilde{q}_{2}$, ${ }M_{1}$, ${ }M_{3}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{3}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$, ${ }X_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{1}$, ${ }X_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}q_{2}^{2}$, ${ }\phi_{1}q_{1}^{2}q_{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$, ${ }M_{1}\phi_{1}^{2}$, ${ }M_{3}\phi_{1}^{2}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}^{2}\tilde{q}_{1}^{2}\tilde{q}_{2}$, ${ }\phi_{1}^{3}\tilde{q}_{1}^{3}$, ${ }\phi_{1}^{2}q_{1}q_{2}^{2}$, ${ }q_{2}^{2}\tilde{q}_{2}^{2}$, ${ }M_{1}q_{2}\tilde{q}_{2}$, ${ }M_{3}q_{2}\tilde{q}_{2}$, ${ }M_{1}^{2}$, ${ }M_{1}M_{3}$, ${ }M_{3}^{2}$, ${ }\phi_{1}^{2}q_{1}^{2}q_{2}$, ${ }q_{1}q_{2}\tilde{q}_{2}^{2}$, ${ }M_{1}q_{1}\tilde{q}_{2}$, ${ }M_{3}q_{1}\tilde{q}_{2}$	${}$	-4	t^2.4 + t^2.93 + 2*t^2.94 + t^3.05 + t^3.61 + t^4.13 + 2*t^4.15 + t^4.25 + 2*t^4.26 + t^4.34 + t^4.59 + t^4.7 + 2*t^5.34 + 2*t^5.35 + 2*t^5.45 + t^5.53 + t^5.54 + t^5.56 + t^5.79 + t^5.86 + 2*t^5.87 + 2*t^5.89 + t^5.91 + t^5.98 + 2*t^5.99 - 4*t^6. + t^6.09 - t^6.11 - t^6.46 + t^6.54 + 4*t^6.55 + t^6.65 + 2*t^6.66 + t^6.74 + 2*t^6.75 + t^6.88 + 2*t^6.99 + t^7.06 + 4*t^7.08 + 3*t^7.09 + 2*t^7.11 + 2*t^7.18 + 4*t^7.19 + t^7.2 + t^7.22 + t^7.27 + 2*t^7.29 + t^7.3 - t^7.32 + t^7.39 - t^7.4 - t^7.41 + t^7.52 + 2*t^7.53 - t^7.54 + 2*t^7.63 - 2*t^7.66 - t^7.73 + t^7.74 + 3*t^7.75 - t^7.77 - t^7.84 + t^7.85 + 2*t^7.87 + t^7.94 + t^7.95 + t^7.96 - t^8.18 + 2*t^8.2 + 3*t^8.27 + 6*t^8.28 + 4*t^8.29 - t^8.3 + 2*t^8.31 + 4*t^8.38 + 6*t^8.39 - 2*t^8.4 - t^8.42 + t^8.46 + 3*t^8.48 + 2*t^8.49 + 4*t^8.5 + 2*t^8.51 + t^8.52 + t^8.58 + t^8.59 - t^8.61 + t^8.68 + 2*t^8.72 + 2*t^8.73 - t^8.75 + t^8.79 + 2*t^8.8 + 2*t^8.82 + 2*t^8.83 + 3*t^8.84 + 2*t^8.85 - 3*t^8.86 + t^8.91 + 2*t^8.92 - 3*t^8.93 - 9*t^8.94 + 3*t^8.95 - t^8.97 - t^4.2/y - t^5.4/y - t^6.61/y - t^7.13/y - t^7.15/y - t^7.25/y + t^7.26/y + t^7.8/y - (2*t^7.81)/y - t^8.35/y - t^8.46/y + (2*t^8.87)/y + t^8.89/y + t^8.98/y + (3*t^8.99)/y - t^4.2*y - t^5.4*y - t^6.61*y - t^7.13*y - t^7.15*y - t^7.25*y + t^7.26*y + t^7.8*y - 2*t^7.81*y - t^8.35*y - t^8.46*y + 2*t^8.87*y + t^8.89*y + t^8.98*y + 3*t^8.99*y	g2^2*g3^2*t^2.4 + t^2.93/(g2^4*g3^6) + (2*g2*t^2.94)/g3 + t^3.05/(g2^6*g3^4) + g2^3*g3^3*t^3.61 + t^4.13/(g2^3*g3^5) + 2*g2^2*t^4.15 + t^4.25/(g2^5*g3^3) + 2*g3^2*t^4.26 + g1^3*g2^9*g3^9*t^4.34 + t^4.59/(g1^3*g2^13*g3^15) + t^4.7/(g1^3*g2^15*g3^13) + (2*t^5.34)/(g2^2*g3^4) + 2*g2^3*g3*t^5.35 + (2*t^5.45)/(g2^4*g3^2) + g1^3*g2^5*g3^5*t^5.53 + g1^3*g2^10*g3^10*t^5.54 + g1^3*g2^15*g3^15*t^5.56 + t^5.79/(g1^3*g2^12*g3^14) + t^5.86/(g2^8*g3^12) + (2*t^5.87)/(g2^3*g3^7) + (2*g2^2*t^5.89)/g3^2 + t^5.91/(g1^3*g2^14*g3^12) + t^5.98/(g2^10*g3^10) + (2*t^5.99)/(g2^5*g3^5) - 4*t^6. + t^6.09/(g2^12*g3^8) - (g3^2*t^6.11)/g2^2 - t^6.46/(g1^3*g2^10*g3^10) + t^6.54/(g2*g3^3) + 4*g2^4*g3^2*t^6.55 + t^6.65/(g2^3*g3) + 2*g2^2*g3^4*t^6.66 + g1^3*g2^6*g3^6*t^6.74 + 2*g1^3*g2^11*g3^11*t^6.75 + t^6.88/(g1^3*g2^9*g3^15) + (2*t^6.99)/(g1^3*g2^11*g3^13) + t^7.06/(g2^7*g3^11) + (4*t^7.08)/(g2^2*g3^6) + (3*g2^3*t^7.09)/g3 + (2*t^7.11)/(g1^3*g2^13*g3^11) + (2*t^7.18)/(g2^9*g3^9) + (4*t^7.19)/(g2^4*g3^4) + g2*g3*t^7.2 + t^7.22/(g1^3*g2^15*g3^9) + g1^3*g2^5*g3^3*t^7.27 + t^7.29/(g2^11*g3^7) + g1^3*g2^10*g3^8*t^7.29 + (2*t^7.3)/(g2^6*g3^2) - g1^3*g2^15*g3^13*t^7.3 - (g3^3*t^7.32)/g2 + g1^3*g2^3*g3^5*t^7.39 - g1^3*g2^8*g3^10*t^7.4 - g1^3*g2^13*g3^15*t^7.41 + t^7.52/(g1^3*g2^17*g3^21) + (2*t^7.53)/(g1^3*g2^12*g3^16) - t^7.54/(g1^3*g2^7*g3^11) + (2*t^7.63)/(g1^3*g2^19*g3^19) - (2*t^7.66)/(g1^3*g2^9*g3^9) - t^7.73/(g2^5*g3^7) + t^7.74/g3^2 + t^7.75/(g1^3*g2^21*g3^17) + 2*g2^5*g3^3*t^7.75 - t^7.77/(g1^3*g2^11*g3^7) - t^7.84/(g2^7*g3^5) + t^7.85/g2^2 + 2*g2^3*g3^5*t^7.87 + g1^3*g2^7*g3^7*t^7.94 + g1^3*g2^12*g3^12*t^7.95 + g1^3*g2^17*g3^17*t^7.96 - t^8.18/(g1^3*g2^15*g3^17) + (2*t^8.2)/(g1^3*g2^10*g3^12) + (3*t^8.27)/(g2^6*g3^10) + (6*t^8.28)/(g2*g3^5) + 4*g2^4*t^8.29 - t^8.3/(g1^3*g2^17*g3^15) + (2*t^8.31)/(g1^3*g2^12*g3^10) + (4*t^8.38)/(g2^8*g3^8) + (6*t^8.39)/(g2^3*g3^3) - 2*g2^2*g3^2*t^8.4 - g2^7*g3^7*t^8.42 + (g1^3*g2*t^8.46)/g3 + 3*g1^3*g2^6*g3^4*t^8.48 + 2*g1^3*g2^11*g3^9*t^8.49 + (3*t^8.5)/(g2^10*g3^6) + g1^3*g2^16*g3^14*t^8.5 + (2*t^8.51)/(g2^5*g3) + g3^4*t^8.52 + (g1^3*g3*t^8.58)/g2 + g1^3*g2^4*g3^6*t^8.59 - g1^3*g2^14*g3^16*t^8.61 + g1^6*g2^18*g3^18*t^8.68 + (2*t^8.72)/(g1^3*g2^16*g3^20) + (2*t^8.73)/(g1^3*g2^11*g3^15) - t^8.75/(g1^3*g2^6*g3^10) + t^8.79/(g2^12*g3^18) + (2*t^8.8)/(g2^7*g3^13) + (2*t^8.82)/(g2^2*g3^8) + (2*g2^3*t^8.83)/g3^3 + (3*t^8.84)/(g1^3*g2^18*g3^18) + (2*t^8.85)/(g1^3*g2^13*g3^13) - (3*t^8.86)/(g1^3*g2^8*g3^8) + t^8.91/(g2^14*g3^16) + (2*t^8.92)/(g2^9*g3^11) - (3*t^8.93)/(g2^4*g3^6) - (9*g2*t^8.94)/g3 + (2*t^8.95)/(g1^3*g2^20*g3^16) + g2^6*g3^4*t^8.95 - t^8.97/(g1^3*g2^10*g3^6) - (g2*g3*t^4.2)/y - (g2^2*g3^2*t^5.4)/y - (g2^3*g3^3*t^6.61)/y - t^7.13/(g2^3*g3^5*y) - (g2^2*t^7.15)/y - t^7.25/(g2^5*g3^3*y) + (g3^2*t^7.26)/y + t^7.8/(g2*g3*y) - (2*g2^4*g3^4*t^7.81)/y - (g2^3*g3*t^8.35)/y - (g2*g3^3*t^8.46)/y + (2*t^8.87)/(g2^3*g3^7*y) + (g2^2*t^8.89)/(g3^2*y) + t^8.98/(g2^10*g3^10*y) + (3*t^8.99)/(g2^5*g3^5*y) - g2*g3*t^4.2*y - g2^2*g3^2*t^5.4*y - g2^3*g3^3*t^6.61*y - (t^7.13*y)/(g2^3*g3^5) - g2^2*t^7.15*y - (t^7.25*y)/(g2^5*g3^3) + g3^2*t^7.26*y + (t^7.8*y)/(g2*g3) - 2*g2^4*g3^4*t^7.81*y - g2^3*g3*t^8.35*y - g2*g3^3*t^8.46*y + (2*t^8.87*y)/(g2^3*g3^7) + (g2^2*t^8.89*y)/g3^2 + (t^8.98*y)/(g2^10*g3^10) + (3*t^8.99*y)/(g2^5*g3^5)

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
61229	${}M_{1}\phi_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{1}M_{2}$ + ${ }q_{1}\tilde{q}_{1}X_{1}$ + ${ }q_{2}\tilde{q}_{1}X_{2}$ + ${ }M_{2}M_{3}$ + ${ }M_{4}q_{1}\tilde{q}_{2}$	1.2568	1.4597	0.861	[X:[1.353, 1.4279], M:[0.9626, 1.0374, 0.9626, 0.9147], q:[0.4319, 0.357], qb:[0.2151, 0.6534], phi:[0.3904]]	t^2.34 + t^2.74 + 2*t^2.89 + t^3.03 + t^3.51 + 2*t^4.06 + t^4.2 + 2*t^4.28 + t^4.42 + t^4.43 + t^4.61 + t^4.83 + t^5.09 + 2*t^5.23 + 2*t^5.37 + t^5.45 + t^5.49 + t^5.59 + t^5.6 + 2*t^5.63 + t^5.74 + 4*t^5.78 + 2*t^5.92 - 3*t^6. - t^4.17/y - t^5.34/y - t^4.17*y - t^5.34*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
57639	SU3adj1nf2	${}M_{1}\phi_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{1}M_{2}$ + ${ }q_{1}\tilde{q}_{1}X_{1}$ + ${ }q_{2}\tilde{q}_{1}X_{2}$	1.2512	1.4516	0.8619	[X:[1.4008, 1.4008], M:[1.0, 1.0], q:[0.3824, 0.3824], qb:[0.2168, 0.6134], phi:[0.4008]]	t^2.41 + 2*t^2.99 + 2*t^3. + t^3.61 + 2*t^4.19 + 4*t^4.2 + t^4.34 + 2*t^4.64 + 4*t^5.39 + 2*t^5.41 + t^5.53 + t^5.55 + t^5.56 + 2*t^5.85 + 3*t^5.97 + 4*t^5.99 - 3*t^6. - t^4.2/y - t^5.41/y - t^4.2*y - t^5.41*y	detail