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
58468	SU3adj1nf2	${}M_{1}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }M_{2}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{3}$ + ${ }M_{3}\phi_{1}^{3}$	1.4331	1.6694	0.8584	[X:[1.2438], M:[1.025, 0.8656, 0.8656], q:[0.4875, 0.3781], qb:[0.4875, 0.3781], phi:[0.3781]]	[X:[[0, 0, 2]], M:[[0, 0, -8], [0, 0, 3], [0, 0, 3]], q:[[-1, 0, 8], [0, -1, -2]], qb:[[1, 0, 0], [0, 1, 0]], phi:[[0, 0, -1]]]	3

Relevant Operators	Marginal Operators	$n_{marginal}$$-$$|F_{IR}|$	Superconformal Index	Refined index
${}q_{2}\tilde{q}_{2}$, ${ }q_{2}\tilde{q}_{1}$, ${ }M_{2}$, ${ }M_{3}$, ${ }M_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }X_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$, ${ }q_{2}^{2}\tilde{q}_{2}^{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$, ${ }q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}^{2}$, ${ }M_{2}q_{2}\tilde{q}_{2}$, ${ }M_{3}q_{2}\tilde{q}_{2}$, ${ }q_{2}^{2}\tilde{q}_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}\tilde{q}_{2}$, ${ }M_{2}q_{2}\tilde{q}_{1}$, ${ }M_{3}q_{2}\tilde{q}_{1}$, ${ }M_{2}^{2}$, ${ }M_{2}M_{3}$, ${ }M_{3}^{2}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{1}$, ${ }q_{1}q_{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{1}q_{2}\tilde{q}_{2}$, ${ }M_{1}M_{2}$, ${ }M_{1}M_{3}$	${}\phi_{1}^{2}q_{1}q_{2}^{2}$, ${ }\phi_{1}q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}q_{2}\tilde{q}_{2}^{2}$, ${ }\phi_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}^{2}$, ${ }q_{2}\tilde{q}_{2}X_{1}$	1	t^2.27 + 4*t^2.6 + t^3.07 + 3*t^3.73 + t^4.06 + 2*t^4.54 + 8*t^4.87 + 13*t^5.19 + t^5.34 + 2*t^5.67 + t^6. + t^6.15 + 13*t^6.33 + 4*t^6.66 + 5*t^6.81 + 9*t^7.13 + 30*t^7.46 + 2*t^7.61 + 36*t^7.79 + 2*t^7.94 + t^8.12 + t^8.42 + 3*t^8.6 + 2*t^8.75 + 40*t^8.93 - t^4.13/y - t^5.27/y - t^6.4/y - (4*t^6.73)/y - t^7.21/y + (6*t^8.19)/y + (3*t^8.67)/y - t^4.13*y - t^5.27*y - t^6.4*y - 4*t^6.73*y - t^7.21*y + 6*t^8.19*y + 3*t^8.67*y	t^2.27/g3^2 + (g1*t^2.6)/(g2*g3^2) + 2*g3^3*t^2.6 + (g2*g3^8*t^2.6)/g1 + t^3.07/g3^8 + (g1*t^3.73)/(g2*g3^3) + g3^2*t^3.73 + (g2*g3^7*t^3.73)/g1 + g3^7*t^4.06 + (2*t^4.54)/g3^4 + (2*g1*t^4.87)/(g2*g3^4) + (g1*g2^2*t^4.87)/g3 + 2*g3*t^4.87 + (g3^3*t^4.87)/(g1*g2^2) + (2*g2*g3^6*t^4.87)/g1 + (g1^2*t^5.19)/(g2^2*g3^4) + (g1^2*g2*t^5.19)/g3 + (2*g1*g3*t^5.19)/g2 + 5*g3^6*t^5.19 + (2*g2*g3^11*t^5.19)/g1 + (g3^13*t^5.19)/(g1^2*g2) + (g2^2*g3^16*t^5.19)/g1^2 + t^5.34/g3^10 + (2*t^5.67)/g3^5 - 3*t^6. + (g1*t^6.)/(g2*g3^5) + (g1*g2^2*t^6.)/g3^2 + (g3^2*t^6.)/(g1*g2^2) + (g2*g3^5*t^6.)/g1 + t^6.15/g3^16 + (2*g1*t^6.33)/g2 + (g1^2*t^6.33)/(g2^2*g3^5) + (g1^2*g2*t^6.33)/g3^2 + 5*g3^5*t^6.33 + (2*g2*g3^10*t^6.33)/g1 + (g3^12*t^6.33)/(g1^2*g2) + (g2^2*g3^15*t^6.33)/g1^2 + (g1*g3^5*t^6.66)/g2 + 2*g3^10*t^6.66 + (g2*g3^15*t^6.66)/g1 + t^6.81/(g2^3*g3^9) + (3*t^6.81)/g3^6 + (g2^3*t^6.81)/g3^3 - (g1^2*g2*t^7.13)/g3^8 + (3*g1*t^7.13)/(g2*g3^6) + (2*g1*g2^2*t^7.13)/g3^3 + t^7.13/g3 + (2*g3*t^7.13)/(g1*g2^2) + (3*g2*g3^4*t^7.13)/g1 - (g3^6*t^7.13)/(g1^2*g2) + (3*g1^2*t^7.46)/(g2^2*g3^6) + (3*g1^2*g2*t^7.46)/g3^3 + (3*g1*t^7.46)/(g2*g3) + (g3*t^7.46)/g2^3 + g1*g2^2*g3^2*t^7.46 + 8*g3^4*t^7.46 + (g3^6*t^7.46)/(g1*g2^2) + g2^3*g3^7*t^7.46 + (3*g2*g3^9*t^7.46)/g1 + (3*g3^11*t^7.46)/(g1^2*g2) + (3*g2^2*g3^14*t^7.46)/g1^2 + (2*t^7.61)/g3^12 + (g1^3*t^7.79)/(g2^3*g3^6) + (2*g1^3*t^7.79)/g3^3 + (2*g1^2*t^7.79)/(g2^2*g3) + 2*g1^2*g2*g3^2*t^7.79 + (6*g1*g3^4*t^7.79)/g2 + g1*g2^2*g3^7*t^7.79 + 8*g3^9*t^7.79 + (g3^11*t^7.79)/(g1*g2^2) + (6*g2*g3^14*t^7.79)/g1 + (2*g3^16*t^7.79)/(g1^2*g2) + (2*g2^2*g3^19*t^7.79)/g1^2 + (2*g3^21*t^7.79)/g1^3 + (g2^3*g3^24*t^7.79)/g1^3 + (2*t^7.94)/g3^7 + g3^14*t^8.12 + t^8.27/(g1*g2^2) - (g1^2*g2*t^8.27)/g3^9 + (2*g1*t^8.27)/(g2*g3^7) - t^8.27/(g2^3*g3^5) + (g1*g2^2*t^8.27)/g3^4 - (2*t^8.27)/g3^2 - g2^3*g3*t^8.27 + (2*g2*g3^3*t^8.27)/g1 - (g3^5*t^8.27)/(g1^2*g2) + t^8.42/g3^18 + (2*t^8.6)/g2^3 - (g1^3*t^8.6)/g3^9 + (2*g1^2*t^8.6)/(g2^2*g3^7) + (2*g1^2*g2*t^8.6)/g3^4 - (3*g1*t^8.6)/(g2*g3^2) - g3^3*t^8.6 + 2*g2^3*g3^6*t^8.6 - (3*g2*g3^8*t^8.6)/g1 + (2*g3^10*t^8.6)/(g1^2*g2) + (2*g2^2*g3^13*t^8.6)/g1^2 - (g3^15*t^8.6)/g1^3 + (2*t^8.75)/g3^13 + (g1^3*t^8.93)/(g2^3*g3^7) + (2*g1^3*t^8.93)/g3^4 + (2*g1^2*t^8.93)/(g2^2*g3^2) + g1^2*g2*g3*t^8.93 + (8*g1*g3^3*t^8.93)/g2 + 2*g1*g2^2*g3^6*t^8.93 + 8*g3^8*t^8.93 + (2*g3^10*t^8.93)/(g1*g2^2) + (8*g2*g3^13*t^8.93)/g1 + (g3^15*t^8.93)/(g1^2*g2) + (2*g2^2*g3^18*t^8.93)/g1^2 + (2*g3^20*t^8.93)/g1^3 + (g2^3*g3^23*t^8.93)/g1^3 - t^4.13/(g3*y) - t^5.27/(g3^2*y) - t^6.4/(g3^3*y) - (g1*t^6.73)/(g2*g3^3*y) - (2*g3^2*t^6.73)/y - (g2*g3^7*t^6.73)/(g1*y) - t^7.21/(g3^9*y) + (2*g1*g3*t^8.19)/(g2*y) + (2*g3^6*t^8.19)/y + (2*g2*g3^11*t^8.19)/(g1*y) + (g2*t^8.67)/(g1*y) + (g1*t^8.67)/(g2*g3^10*y) + t^8.67/(g3^5*y) - (t^4.13*y)/g3 - (t^5.27*y)/g3^2 - (t^6.4*y)/g3^3 - (g1*t^6.73*y)/(g2*g3^3) - 2*g3^2*t^6.73*y - (g2*g3^7*t^6.73*y)/g1 - (t^7.21*y)/g3^9 + (2*g1*g3*t^8.19*y)/g2 + 2*g3^6*t^8.19*y + (2*g2*g3^11*t^8.19*y)/g1 + (g2*t^8.67*y)/g1 + (g1*t^8.67*y)/(g2*g3^10) + (t^8.67*y)/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
61192	${}M_{1}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }M_{2}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{3}$ + ${ }M_{3}\phi_{1}^{3}$ + ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$ + ${ }q_{1}\tilde{q}_{2}X_{2}$	1.2291	1.4279	0.8608	[X:[1.2732, 1.4535], M:[0.907, 0.9099, 0.9099], q:[0.3343, 0.5145], qb:[0.7587, 0.2122], phi:[0.3634]]	t^2.18 + t^2.72 + 3*t^2.73 + 3*t^3.82 + 2*t^4.36 + t^4.37 + 2*t^4.64 + t^4.9 + 4*t^4.91 + 2*t^5.18 + t^5.44 + 2*t^5.45 + 6*t^5.46 + 2*t^5.73 - t^4.09/y - t^5.18/y - t^4.09*y - t^5.18*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
57370	SU3adj1nf2	${}M_{1}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }M_{2}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{3}$	1.4215	1.6483	0.8624	[X:[1.2487], M:[1.0053, 0.873], q:[0.4974, 0.3757], qb:[0.4974, 0.3757], phi:[0.3757]]	t^2.254 + 3*t^2.619 + t^3.016 + t^3.381 + 3*t^3.746 + t^4.111 + 2*t^4.508 + 7*t^4.873 + 9*t^5.238 + t^5.27 + 2*t^5.635 + 4*t^6. - t^4.127/y - t^5.254/y - t^4.127*y - t^5.254*y	detail