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
57396	SU3adj1nf2	${}M_{1}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }\phi_{1}\tilde{q}_{1}^{2}\tilde{q}_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{2}$	1.4549	1.6381	0.8881	[X:[1.3788], M:[0.8818, 0.9134], q:[0.5445, 0.4762], qb:[0.5737, 0.542], phi:[0.3106]]	[X:[[0, 0, 4]], M:[[1, 2, -12], [1, -1, -11]], 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
${}M_{1}$, ${ }M_{2}$, ${ }\phi_{1}^{3}$, ${ }q_{2}\tilde{q}_{2}$, ${ }q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }X_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{1}$, ${ }M_{1}^{2}$, ${ }M_{1}M_{2}$, ${ }\phi_{1}q_{1}q_{2}^{2}$, ${ }M_{1}\phi_{1}^{3}$, ${ }M_{2}^{2}$, ${ }M_{2}\phi_{1}^{3}$, ${ }\phi_{1}^{6}$, ${ }\phi_{1}q_{1}^{2}q_{2}$, ${ }M_{1}q_{2}\tilde{q}_{2}$, ${ }M_{2}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}^{3}q_{2}\tilde{q}_{2}$, ${ }M_{2}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{3}q_{2}\tilde{q}_{1}$	${}$	-3	t^2.645 + t^2.74 + t^2.795 + t^3.055 + t^3.15 + t^3.986 + t^4.081 + t^4.136 + t^4.191 + t^4.286 + t^4.918 + t^5.013 + t^5.123 + t^5.218 + t^5.291 + t^5.386 + t^5.422 + t^5.441 + t^5.481 + t^5.536 + t^5.591 + t^5.627 + t^5.7 + t^5.795 + t^5.85 + t^5.89 + t^5.945 - 3*t^6. - t^6.095 + t^6.109 + t^6.204 - t^6.205 + t^6.299 + t^6.354 + t^6.559 + t^6.632 + t^6.727 + 2*t^6.782 + t^6.822 + t^6.837 + 2*t^6.877 + t^6.932 + t^6.987 + t^7.041 + t^7.081 + t^7.082 + 2*t^7.136 - t^7.137 + t^7.191 + t^7.231 + t^7.246 + 2*t^7.286 + t^7.341 + t^7.491 + t^7.564 + t^7.659 + t^7.674 + t^7.696 + t^7.753 + t^7.769 + t^7.809 + t^7.864 + t^7.936 + t^7.958 + 2*t^7.973 + t^8.014 + t^8.031 + 3*t^8.068 - t^8.069 + t^8.086 + t^8.126 + 2*t^8.163 + 2*t^8.178 + t^8.181 + t^8.218 + t^8.221 + t^8.236 + 3*t^8.273 + t^8.276 + t^8.331 + t^8.346 + t^8.368 + t^8.383 + t^8.386 + t^8.423 + t^8.44 + t^8.477 + t^8.495 + t^8.535 - t^8.551 + t^8.572 + t^8.59 + t^8.63 - 3*t^8.645 + t^8.682 + t^8.685 - 3*t^8.74 + t^8.755 - t^8.756 + t^8.777 - 2*t^8.795 - t^8.835 - t^8.85 - t^8.89 + 2*t^8.905 + t^8.795/y^2 - t^3.932/y - t^4.864/y - t^6.577/y - t^6.672/y - t^6.727/y - t^6.986/y - t^7.081/y - t^7.509/y - t^7.604/y - t^7.659/y - t^7.918/y - t^8.013/y + t^8.386/y + t^8.441/y + t^8.536/y + t^8.7/y + (2*t^8.795)/y + t^8.89/y - t^3.932*y - t^4.864*y - t^6.577*y - t^6.672*y - t^6.727*y - t^6.986*y - t^7.081*y - t^7.509*y - t^7.604*y - t^7.659*y - t^7.918*y - t^8.013*y + t^8.386*y + t^8.441*y + t^8.536*y + t^8.7*y + 2*t^8.795*y + t^8.89*y + t^8.795*y^2	(g1*g2^2*t^2.645)/g3^12 + (g1*t^2.74)/(g2*g3^11) + t^2.795/g3^6 + g1*g2^2*t^3.055 + (g1*g3*t^3.15)/g2 + (g1*g2^2*t^3.986)/g3^2 + (g1*t^4.081)/(g2*g3) + g3^4*t^4.136 + (g2*g3^9*t^4.191)/g1 + (g3^10*t^4.286)/(g1*g2^2) + (g1*g2^2*t^4.918)/g3^4 + (g1*t^5.013)/(g2*g3^3) + (g2*g3^7*t^5.123)/g1 + (g3^8*t^5.218)/(g1*g2^2) + (g1^2*g2^4*t^5.291)/g3^24 + (g1^2*g2*t^5.386)/g3^23 + (g1*g3^9*t^5.422)/g2 + (g1*g2^2*t^5.441)/g3^18 + (g1^2*t^5.481)/(g2^2*g3^22) + (g1*t^5.536)/(g2*g3^17) + t^5.591/g3^12 + (g3^20*t^5.627)/(g1*g2^2) + (g1^2*g2^4*t^5.7)/g3^12 + (g1^2*g2*t^5.795)/g3^11 + (g1*g2^2*t^5.85)/g3^6 + (g1^2*t^5.89)/(g2^2*g3^10) + (g1*t^5.945)/(g2*g3^5) - 3*t^6. - (g3*t^6.095)/g2^3 + g1^2*g2^4*t^6.109 + g1^2*g2*g3*t^6.204 - (g3^11*t^6.205)/(g1^2*g2) + (g1^2*g3^2*t^6.299)/g2^2 + (g1*g3^7*t^6.354)/g2 + (g3^18*t^6.559)/(g1*g2^2) + (g1^2*g2^4*t^6.632)/g3^14 + (g1^2*g2*t^6.727)/g3^13 + (2*g1*g2^2*t^6.782)/g3^8 + (g1^2*t^6.822)/(g2^2*g3^12) + (g2^3*t^6.837)/g3^3 + (2*g1*t^6.877)/(g2*g3^7) + t^6.932/g3^2 + (g2*g3^3*t^6.987)/g1 + (g1^2*g2^4*t^7.041)/g3^2 + (g1^3*t^7.081)/g3^6 + (g3^4*t^7.082)/(g1*g2^2) + (2*g1^2*g2*t^7.136)/g3 - (g3^9*t^7.137)/(g1^2*g2) + g1*g2^2*g3^4*t^7.191 + (g1^2*t^7.231)/g2^2 + g2^3*g3^9*t^7.246 + (2*g1*g3^5*t^7.286)/g2 + g3^10*t^7.341 + (g3^16*t^7.491)/(g1*g2^2) + (g1^2*g2^4*t^7.564)/g3^16 + (g1^2*g2*t^7.659)/g3^15 + (g2^6*t^7.674)/g3^6 + (g3^27*t^7.696)/(g1^3*g2^3) + (g1^2*t^7.753)/(g2^2*g3^14) + (g2^3*t^7.769)/g3^5 + (g1*t^7.809)/(g2*g3^9) + t^7.864/g3^4 + (g1^3*g2^6*t^7.936)/g3^36 + t^7.958/(g2^3*g3^3) + (2*g1^2*g2^4*t^7.973)/g3^4 + (g3^2*t^8.014)/(g1*g2^2) + (g1^3*g2^3*t^8.031)/g3^35 + (3*g1^2*g2*t^8.068)/g3^3 - (g3^7*t^8.069)/(g1^2*g2) + (g1^2*g2^4*t^8.086)/g3^30 + (g1^3*t^8.126)/g3^34 + (2*g1^2*t^8.163)/(g2^2*g3^2) + 2*g2^3*g3^7*t^8.178 + (g1^2*g2*t^8.181)/g3^29 + (g1*g3^3*t^8.218)/g2 + (g1^3*t^8.221)/(g2^3*g3^33) + (g1*g2^2*t^8.236)/g3^24 + 3*g3^8*t^8.273 + (g1^2*t^8.276)/(g2^2*g3^28) + (g1*t^8.331)/(g2*g3^23) + (g1^3*g2^6*t^8.346)/g3^24 + (g3^9*t^8.368)/g2^3 + (g2^2*g3^18*t^8.383)/g1^2 + t^8.386/g3^18 + (g3^14*t^8.423)/(g1*g2^2) + (g1^3*g2^3*t^8.44)/g3^23 + g1^2*g2*g3^9*t^8.477 + (g1^2*g2^4*t^8.495)/g3^18 + (g1^3*t^8.535)/g3^22 - (g1*g2^5*t^8.551)/g3^13 + (g1^2*g3^10*t^8.572)/g2^2 + (g1^2*g2*t^8.59)/g3^17 + (g1^3*t^8.63)/(g2^3*g3^21) - (3*g1*g2^2*t^8.645)/g3^12 + g3^20*t^8.682 + (g1^2*t^8.685)/(g2^2*g3^16) - (3*g1*t^8.74)/(g2*g3^11) + (g1^3*g2^6*t^8.755)/g3^12 - (g2^4*t^8.756)/(g1*g3^2) + (g3^21*t^8.777)/g2^3 - (2*t^8.795)/g3^6 - (g1*t^8.835)/(g2^4*g3^10) + (g1^3*g2^3*t^8.85)/g3^11 - (2*g2*t^8.85)/(g1*g3) - t^8.89/(g2^3*g3^5) + (2*g1^2*g2^4*t^8.905)/g3^6 - t^8.945/(g1*g2^2) + (g1^3*t^8.945)/g3^10 + t^8.795/(g3^6*y^2) - t^3.932/(g3^2*y) - t^4.864/(g3^4*y) - (g1*g2^2*t^6.577)/(g3^14*y) - (g1*t^6.672)/(g2*g3^13*y) - t^6.727/(g3^8*y) - (g1*g2^2*t^6.986)/(g3^2*y) - (g1*t^7.081)/(g2*g3*y) - (g1*g2^2*t^7.509)/(g3^16*y) - (g1*t^7.604)/(g2*g3^15*y) - t^7.659/(g3^10*y) - (g1*g2^2*t^7.918)/(g3^4*y) - (g1*t^8.013)/(g2*g3^3*y) + (g1^2*g2*t^8.386)/(g3^23*y) + (g1*g2^2*t^8.441)/(g3^18*y) + (g1*t^8.536)/(g2*g3^17*y) + (g1^2*g2^4*t^8.7)/(g3^12*y) + (2*g1^2*g2*t^8.795)/(g3^11*y) + (g1^2*t^8.89)/(g2^2*g3^10*y) - (t^3.932*y)/g3^2 - (t^4.864*y)/g3^4 - (g1*g2^2*t^6.577*y)/g3^14 - (g1*t^6.672*y)/(g2*g3^13) - (t^6.727*y)/g3^8 - (g1*g2^2*t^6.986*y)/g3^2 - (g1*t^7.081*y)/(g2*g3) - (g1*g2^2*t^7.509*y)/g3^16 - (g1*t^7.604*y)/(g2*g3^15) - (t^7.659*y)/g3^10 - (g1*g2^2*t^7.918*y)/g3^4 - (g1*t^8.013*y)/(g2*g3^3) + (g1^2*g2*t^8.386*y)/g3^23 + (g1*g2^2*t^8.441*y)/g3^18 + (g1*t^8.536*y)/(g2*g3^17) + (g1^2*g2^4*t^8.7*y)/g3^12 + (2*g1^2*g2*t^8.795*y)/g3^11 + (g1^2*t^8.89*y)/(g2^2*g3^10) + (t^8.795*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
58542	${}M_{1}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }\phi_{1}\tilde{q}_{1}^{2}\tilde{q}_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{3}$	1.4463	1.6334	0.8854	[X:[1.3442], M:[0.9238, 1.0164], q:[0.4879, 0.4609], qb:[0.5882, 0.4957], phi:[0.3279]]	t^2.77 + t^2.87 + t^2.95 + t^3.05 + t^3.15 + t^3.85 + t^3.93 + t^4.03 + t^4.13 + t^4.21 + t^4.84 + t^4.92 + t^5.11 + t^5.2 + t^5.21 + t^5.29 + t^5.54 + t^5.64 + t^5.72 + t^5.74 + 2*t^5.82 + t^5.9 + t^5.92 - 2*t^6. - t^3.98/y - t^4.97/y - t^3.98*y - t^4.97*y	detail
58543	${}M_{1}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }\phi_{1}\tilde{q}_{1}^{2}\tilde{q}_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{2}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$	1.4518	1.6306	0.8903	[X:[1.3795], M:[0.9152, 0.9464], q:[0.5111, 0.5111], qb:[0.5736, 0.5425], phi:[0.3103]]	t^2.75 + t^2.79 + t^2.84 + t^3.16 + t^3.25 + 2*t^4.09 + t^4.14 + 2*t^4.19 + 2*t^5.02 + 2*t^5.12 + t^5.49 + 2*t^5.53 + t^5.54 + 2*t^5.58 + t^5.63 + t^5.68 + t^5.91 + t^5.95 - 3*t^6. - t^3.93/y - t^4.86/y - t^3.93*y - t^4.86*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
47897	SU3adj1nf2	${}M_{1}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }\phi_{1}\tilde{q}_{1}^{2}\tilde{q}_{2}$	1.4497	1.6322	0.8882	[X:[1.3628], M:[0.9023], q:[0.5128, 0.4792], qb:[0.585, 0.5115], phi:[0.3186]]	t^2.707 + t^2.867 + t^2.972 + t^3.073 + t^3.192 + t^3.928 + t^4.029 + t^4.088 + t^4.148 + t^4.249 + t^4.884 + t^4.984 + t^5.104 + t^5.205 + t^5.369 + t^5.414 + t^5.47 + t^5.574 + t^5.679 + t^5.735 + t^5.779 + t^5.839 + t^5.94 + t^5.944 - 3*t^6. - t^3.956/y - t^4.912/y - t^3.956*y - t^4.912*y	detail