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
47939	SU3adj1nf2	${}M_{1}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}^{2}$	1.446	1.6242	0.8903	[X:[1.3694], M:[0.9321], q:[0.5113, 0.4763], qb:[0.5565, 0.5641], phi:[0.3153]]	[X:[[0, 0, 2]], M:[[1, 1, -6]], q:[[-1, 1, 5], [1, 0, 0]], qb:[[0, -2, 1], [0, 1, 0]], phi:[[0, 0, -1]]]	3

Relevant Operators	Marginal Operators	$n_{marginal}$$-$$|F_{IR}|$	Superconformal Index	Refined index
${}M_{1}$, ${ }\phi_{1}^{3}$, ${ }q_{2}\tilde{q}_{1}$, ${ }q_{2}\tilde{q}_{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }X_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}q_{2}^{2}$, ${ }\phi_{1}q_{1}^{2}q_{2}$, ${ }M_{1}^{2}$, ${ }M_{1}\phi_{1}^{3}$, ${ }\phi_{1}^{6}$, ${ }M_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}^{3}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{3}q_{2}\tilde{q}_{2}$	${}$	-3	t^2.796 + t^2.838 + t^3.098 + t^3.121 + t^3.226 + t^4.044 + t^4.067 + t^4.108 + t^4.149 + t^4.172 + t^4.99 + t^5.013 + t^5.095 + t^5.118 + t^5.337 + t^5.443 + t^5.593 + t^5.634 + t^5.675 + t^5.917 + t^5.936 + t^5.959 - 3*t^6. + t^6.064 - t^6.105 + t^6.197 + t^6.219 + t^6.242 + t^6.283 + t^6.325 + t^6.347 + t^6.389 + t^6.452 + t^6.863 + t^6.882 + 2*t^6.905 + t^6.987 + t^7.01 - t^7.051 + t^7.124 + t^7.143 + 2*t^7.165 + t^7.188 + t^7.207 + 2*t^7.229 + t^7.248 + 2*t^7.271 + t^7.293 + 2*t^7.334 + t^7.376 + t^7.398 + t^7.44 + t^7.809 + t^7.847 + t^7.851 + t^7.914 + t^7.956 - t^7.997 + 2*t^8.089 + 2*t^8.111 + 2*t^8.134 + t^8.175 + 2*t^8.194 + 3*t^8.216 + 2*t^8.239 + t^8.28 + t^8.299 + t^8.322 + t^8.344 + t^8.389 + t^8.43 + t^8.436 + t^8.459 + t^8.472 + t^8.513 + t^8.541 + 2*t^8.564 + t^8.669 + t^8.714 - t^8.751 + t^8.755 - 2*t^8.796 - 2*t^8.838 - t^8.856 - t^8.879 - t^8.943 + t^8.838/y^2 - t^3.946/y - t^4.892/y - t^6.742/y - t^6.784/y - t^7.044/y - t^7.067/y - t^7.172/y - t^7.688/y - t^7.729/y - t^7.99/y - t^8.013/y - t^8.118/y + t^8.634/y + t^8.895/y + t^8.917/y - t^3.946*y - t^4.892*y - t^6.742*y - t^6.784*y - t^7.044*y - t^7.067*y - t^7.172*y - t^7.688*y - t^7.729*y - t^7.99*y - t^8.013*y - t^8.118*y + t^8.634*y + t^8.895*y + t^8.917*y + t^8.838*y^2	(g1*g2*t^2.796)/g3^6 + t^2.838/g3^3 + (g1*g3*t^3.098)/g2^2 + g1*g2*t^3.121 + (g2^2*g3^5*t^3.226)/g1 + (g1*t^4.044)/g2^2 + (g1*g2*t^4.067)/g3 + g3^2*t^4.108 + (g3^5*t^4.149)/(g1*g2) + (g2^2*g3^4*t^4.172)/g1 + (g1*t^4.99)/(g2^2*g3) + (g1*g2*t^5.013)/g3^2 + (g3^4*t^5.095)/(g1*g2) + (g2^2*g3^3*t^5.118)/g1 + g1*g2*g3^4*t^5.337 + (g2^2*g3^9*t^5.443)/g1 + (g1^2*g2^2*t^5.593)/g3^12 + (g1*g2*t^5.634)/g3^9 + t^5.675/g3^6 + (g1^2*g2^2*t^5.917)/g3^6 + (g1*t^5.936)/(g2^2*g3^2) + (g1*g2*t^5.959)/g3^3 - 3*t^6. + (g2^2*g3^2*t^6.064)/g1 - (g2*g3^5*t^6.105)/g1^2 + (g1^2*g3^2*t^6.197)/g2^4 + (g1^2*g3*t^6.219)/g2 + g1^2*g2^2*t^6.242 + g1*g2*g3^3*t^6.283 + g3^6*t^6.325 + g2^3*g3^5*t^6.347 + (g2^2*g3^8*t^6.389)/g1 + (g2^4*g3^10*t^6.452)/g1^2 + (g1^2*g2^2*t^6.863)/g3^7 + (g1*t^6.882)/(g2^2*g3^3) + (2*g1*g2*t^6.905)/g3^4 + (g3^2*t^6.987)/(g1*g2) + (g2^2*g3*t^7.01)/g1 - (g2*g3^4*t^7.051)/g1^2 + (g1^3*t^7.124)/g3^3 + (g1^2*g3*t^7.143)/g2^4 + (2*g1^2*t^7.165)/g2 + (g1^2*g2^2*t^7.188)/g3 + (g1*g3^3*t^7.207)/g2^2 + 2*g1*g2*g3^2*t^7.229 + (g3^6*t^7.248)/g2^3 + 2*g3^5*t^7.271 + g2^3*g3^4*t^7.293 + (2*g2^2*g3^7*t^7.334)/g1 + (g2*g3^10*t^7.376)/g1^2 + (g2^4*g3^9*t^7.398)/g1^2 + (g2^3*g3^12*t^7.44)/g1^3 + (g1^2*g2^2*t^7.809)/g3^8 + t^7.847/g2^6 + (g1*g2*t^7.851)/g3^5 + (g2^3*t^7.914)/g3^3 + (g2^2*t^7.956)/g1 - (g2*g3^3*t^7.997)/g1^2 + (2*g1^2*t^8.089)/g2^4 + (2*g1^2*t^8.111)/(g2*g3) + (2*g1^2*g2^2*t^8.134)/g3^2 + g1*g2*g3*t^8.175 + (2*g3^5*t^8.194)/g2^3 + 3*g3^4*t^8.216 + 2*g2^3*g3^3*t^8.239 + (g2^2*g3^6*t^8.28)/g1 + (g3^10*t^8.299)/(g1^2*g2^2) + (g2*g3^9*t^8.322)/g1^2 + (g2^4*g3^8*t^8.344)/g1^2 + (g1^3*g2^3*t^8.389)/g3^18 + (g1^2*g2^2*t^8.43)/g3^15 + (g1^2*g3^5*t^8.436)/g2 + g1^2*g2^2*g3^4*t^8.459 + (g1*g2*t^8.472)/g3^12 + t^8.513/g3^9 + g3^10*t^8.541 + 2*g2^3*g3^9*t^8.564 + (g2^4*g3^14*t^8.669)/g1^2 + (g1^3*g2^3*t^8.714)/g3^12 - (g1*t^8.751)/(g2^5*g3^4) + (g1^2*g2^2*t^8.755)/g3^9 - (2*g1*g2*t^8.796)/g3^6 - (2*t^8.838)/g3^3 - (g3*t^8.856)/(g1*g2^4) - t^8.879/(g1*g2) - (g2*g3^2*t^8.943)/g1^2 + t^8.838/(g3^3*y^2) - t^3.946/(g3*y) - t^4.892/(g3^2*y) - (g1*g2*t^6.742)/(g3^7*y) - t^6.784/(g3^4*y) - (g1*t^7.044)/(g2^2*y) - (g1*g2*t^7.067)/(g3*y) - (g2^2*g3^4*t^7.172)/(g1*y) - (g1*g2*t^7.688)/(g3^8*y) - t^7.729/(g3^5*y) - (g1*t^7.99)/(g2^2*g3*y) - (g1*g2*t^8.013)/(g3^2*y) - (g2^2*g3^3*t^8.118)/(g1*y) + (g1*g2*t^8.634)/(g3^9*y) + (g1^2*t^8.895)/(g2*g3^5*y) + (g1^2*g2^2*t^8.917)/(g3^6*y) - (t^3.946*y)/g3 - (t^4.892*y)/g3^2 - (g1*g2*t^6.742*y)/g3^7 - (t^6.784*y)/g3^4 - (g1*t^7.044*y)/g2^2 - (g1*g2*t^7.067*y)/g3 - (g2^2*g3^4*t^7.172*y)/g1 - (g1*g2*t^7.688*y)/g3^8 - (t^7.729*y)/g3^5 - (g1*t^7.99*y)/(g2^2*g3) - (g1*g2*t^8.013*y)/g3^2 - (g2^2*g3^3*t^8.118*y)/g1 + (g1*g2*t^8.634*y)/g3^9 + (g1^2*t^8.895*y)/(g2*g3^5) + (g1^2*g2^2*t^8.917*y)/g3^6 + (t^8.838*y^2)/g3^3

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
57672	${}M_{1}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}^{2}$ + ${ }\phi_{1}q_{1}q_{2}^{2}$	1.4283	1.5896	0.8985	[X:[1.4195], M:[0.9024], q:[0.5488, 0.5805], qb:[0.5488, 0.5805], phi:[0.2902]]	t^2.61 + t^2.71 + 2*t^3.39 + t^3.48 + t^4.16 + 3*t^4.26 + t^4.35 + t^5.03 + 2*t^5.13 + 2*t^5.22 + t^5.32 + t^5.41 - t^3.87/y - t^4.74/y - t^3.87*y - t^4.74*y	detail
57669	${}M_{1}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}^{2}$ + ${ }\phi_{1}q_{2}\tilde{q}_{2}$	1.0713	1.1747	0.912	[X:[1.5273], M:[1.1816], q:[0.4287, 1.0767], qb:[0.3897, 0.687], phi:[0.2363]]	t^2.13 + t^3.16 + t^3.35 + t^3.54 + t^3.87 + t^4.25 + t^4.4 + t^4.58 + t^5.11 + 2*t^5.29 + t^5.63 + t^5.67 + t^5.98 - 2*t^6. - t^3.71/y - t^4.42/y - t^5.84/y - t^3.71*y - t^4.42*y - t^5.84*y	detail
57673	${}M_{1}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}^{2}$ + ${ }\phi_{1}^{3}q_{2}\tilde{q}_{1}$	1.4454	1.6231	0.8905	[X:[1.3712], M:[0.9296], q:[0.4995, 0.4858], qb:[0.571, 0.5573], phi:[0.3144]]	t^2.79 + t^2.83 + t^3.13 + 2*t^3.17 + t^4.07 + 3*t^4.11 + t^4.15 + t^5.02 + 2*t^5.06 + t^5.1 + t^5.36 + t^5.4 + t^5.58 + t^5.62 + t^5.66 + t^5.92 + t^5.96 - t^6. - t^3.94/y - t^4.89/y - t^3.94*y - t^4.89*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
47868	SU3adj1nf2	${}M_{1}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}X_{1}$	1.4552	1.6423	0.8861	[X:[1.3428], M:[0.9491], q:[0.5255, 0.4888], qb:[0.5255, 0.4888], phi:[0.3286]]	t^2.847 + t^2.933 + t^2.957 + 2*t^3.043 + t^3.918 + 3*t^4.028 + t^4.139 + t^4.904 + 2*t^5.014 + t^5.124 + 2*t^5.495 + 2*t^5.605 + t^5.695 + t^5.78 + t^5.805 + t^5.865 + t^5.89 + t^5.915 + 2*t^5.975 - 2*t^6. - t^3.986/y - t^4.972/y - t^3.986*y - t^4.972*y	detail