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
311	SU2adj1nf2	${}\phi_{1}q_{1}q_{2}$ + ${ }M_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }M_{4}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{1}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$	0.6895	0.8747	0.7883	[M:[0.6954, 0.7011, 0.6897, 0.6897], q:[0.8233, 0.829], qb:[0.4813, 0.4756], phi:[0.3477]]	[M:[[-2, -2], [1, -5], [-5, 1], [-5, 1]], q:[[-1, 2], [2, -1]], qb:[[3, 0], [0, 3]], phi:[[-1, -1]]]	2

Relevant Operators	Marginal Operators	$n_{marginal}$$-$$|F_{IR}|$	Superconformal Index	Refined index
${}M_{3}$, ${ }M_{4}$, ${ }M_{1}$, ${ }\phi_{1}^{2}$, ${ }M_{2}$, ${ }\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }q_{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{3}^{2}$, ${ }M_{3}M_{4}$, ${ }M_{4}^{2}$, ${ }M_{1}M_{3}$, ${ }M_{1}M_{4}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{1}^{2}$, ${ }M_{2}M_{3}$, ${ }M_{2}M_{4}$, ${ }M_{1}\phi_{1}^{2}$, ${ }\phi_{1}^{4}$, ${ }M_{1}M_{2}$, ${ }M_{2}\phi_{1}^{2}$, ${ }M_{2}^{2}$, ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{4}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{1}q_{2}$, ${ }M_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\tilde{q}_{1}^{2}\tilde{q}_{2}^{2}$, ${ }M_{3}q_{1}\tilde{q}_{2}$, ${ }M_{4}q_{1}\tilde{q}_{2}$, ${ }M_{3}q_{2}\tilde{q}_{2}$, ${ }M_{4}q_{2}\tilde{q}_{2}$, ${ }M_{3}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{4}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$	${}M_{2}q_{1}\tilde{q}_{2}$, ${ }M_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}^{3}\tilde{q}_{1}\tilde{q}_{2}$	0	2*t^2.069 + 2*t^2.086 + t^2.103 + t^2.871 + t^3.897 + 2*t^3.914 + 3*t^4.138 + 4*t^4.155 + 5*t^4.172 + 2*t^4.189 + t^4.206 + 2*t^4.94 + 3*t^4.957 + t^4.974 + t^5.741 + 2*t^5.966 + 4*t^5.983 + 4*t^6.207 + 6*t^6.224 + 9*t^6.241 + 8*t^6.259 + 5*t^6.276 + 2*t^6.293 + t^6.31 + t^6.767 + 2*t^6.785 + 3*t^7.009 + 4*t^7.026 + 3*t^7.043 + t^7.06 + t^7.077 + t^7.794 + 2*t^7.811 + t^7.828 - t^7.845 + 3*t^8.035 + 6*t^8.052 - t^8.069 - 3*t^8.086 - 4*t^8.103 + 5*t^8.277 + 8*t^8.294 + 13*t^8.311 + 14*t^8.328 + 14*t^8.345 + 8*t^8.362 + 5*t^8.379 + 2*t^8.396 + t^8.413 + t^8.612 + 2*t^8.837 + 3*t^8.854 - 2*t^8.871 - 2*t^8.888 - t^4.043/y - (2*t^6.112)/y - (2*t^6.129)/y - t^6.146/y + t^7.138/y + (4*t^7.155)/y + (3*t^7.172)/y + (2*t^7.189)/y + (3*t^7.94)/y + (4*t^7.957)/y + (3*t^7.974)/y - (3*t^8.181)/y - (4*t^8.198)/y - (5*t^8.215)/y - (2*t^8.233)/y - t^8.25/y + (2*t^8.966)/y + (6*t^8.983)/y - t^4.043*y - 2*t^6.112*y - 2*t^6.129*y - t^6.146*y + t^7.138*y + 4*t^7.155*y + 3*t^7.172*y + 2*t^7.189*y + 3*t^7.94*y + 4*t^7.957*y + 3*t^7.974*y - 3*t^8.181*y - 4*t^8.198*y - 5*t^8.215*y - 2*t^8.233*y - t^8.25*y + 2*t^8.966*y + 6*t^8.983*y	(2*g2*t^2.069)/g1^5 + (2*t^2.086)/(g1^2*g2^2) + (g1*t^2.103)/g2^5 + g1^3*g2^3*t^2.871 + (g2^5*t^3.897)/g1 + 2*g1^2*g2^2*t^3.914 + (3*g2^2*t^4.138)/g1^10 + (4*t^4.155)/(g1^7*g2) + (5*t^4.172)/(g1^4*g2^4) + (2*t^4.189)/(g1*g2^7) + (g1^2*t^4.206)/g2^10 + (2*g2^4*t^4.94)/g1^2 + 3*g1*g2*t^4.957 + (g1^4*t^4.974)/g2^2 + g1^6*g2^6*t^5.741 + (2*g2^6*t^5.966)/g1^6 + (4*g2^3*t^5.983)/g1^3 + (4*g2^3*t^6.207)/g1^15 + (6*t^6.224)/g1^12 + (9*t^6.241)/(g1^9*g2^3) + (8*t^6.259)/(g1^6*g2^6) + (5*t^6.276)/(g1^3*g2^9) + (2*t^6.293)/g2^12 + (g1^3*t^6.31)/g2^15 + g1^2*g2^8*t^6.767 + 2*g1^5*g2^5*t^6.785 + (3*g2^5*t^7.009)/g1^7 + (4*g2^2*t^7.026)/g1^4 + (3*t^7.043)/(g1*g2) + (g1^2*t^7.06)/g2^4 + (g1^5*t^7.077)/g2^7 + (g2^10*t^7.794)/g1^2 + 2*g1*g2^7*t^7.811 + g1^4*g2^4*t^7.828 - g1^7*g2*t^7.845 + (3*g2^7*t^8.035)/g1^11 + (6*g2^4*t^8.052)/g1^8 - (g2*t^8.069)/g1^5 - (3*t^8.086)/(g1^2*g2^2) - (4*g1*t^8.103)/g2^5 + (5*g2^4*t^8.277)/g1^20 + (8*g2*t^8.294)/g1^17 + (13*t^8.311)/(g1^14*g2^2) + (14*t^8.328)/(g1^11*g2^5) + (14*t^8.345)/(g1^8*g2^8) + (8*t^8.362)/(g1^5*g2^11) + (5*t^8.379)/(g1^2*g2^14) + (2*g1*t^8.396)/g2^17 + (g1^4*t^8.413)/g2^20 + g1^9*g2^9*t^8.612 + (2*g2^9*t^8.837)/g1^3 + 3*g2^6*t^8.854 - 2*g1^3*g2^3*t^8.871 - 2*g1^6*t^8.888 - t^4.043/(g1*g2*y) - (2*t^6.112)/(g1^6*y) - (2*t^6.129)/(g1^3*g2^3*y) - t^6.146/(g2^6*y) + (g2^2*t^7.138)/(g1^10*y) + (4*t^7.155)/(g1^7*g2*y) + (3*t^7.172)/(g1^4*g2^4*y) + (2*t^7.189)/(g1*g2^7*y) + (3*g2^4*t^7.94)/(g1^2*y) + (4*g1*g2*t^7.957)/y + (3*g1^4*t^7.974)/(g2^2*y) - (3*g2*t^8.181)/(g1^11*y) - (4*t^8.198)/(g1^8*g2^2*y) - (5*t^8.215)/(g1^5*g2^5*y) - (2*t^8.233)/(g1^2*g2^8*y) - (g1*t^8.25)/(g2^11*y) + (2*g2^6*t^8.966)/(g1^6*y) + (6*g2^3*t^8.983)/(g1^3*y) - (t^4.043*y)/(g1*g2) - (2*t^6.112*y)/g1^6 - (2*t^6.129*y)/(g1^3*g2^3) - (t^6.146*y)/g2^6 + (g2^2*t^7.138*y)/g1^10 + (4*t^7.155*y)/(g1^7*g2) + (3*t^7.172*y)/(g1^4*g2^4) + (2*t^7.189*y)/(g1*g2^7) + (3*g2^4*t^7.94*y)/g1^2 + 4*g1*g2*t^7.957*y + (3*g1^4*t^7.974*y)/g2^2 - (3*g2*t^8.181*y)/g1^11 - (4*t^8.198*y)/(g1^8*g2^2) - (5*t^8.215*y)/(g1^5*g2^5) - (2*t^8.233*y)/(g1^2*g2^8) - (g1*t^8.25*y)/g2^11 + (2*g2^6*t^8.966*y)/g1^6 + (6*g2^3*t^8.983*y)/g1^3

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
488	${}\phi_{1}q_{1}q_{2}$ + ${ }M_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }M_{4}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{1}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$	0.6895	0.8743	0.7886	[M:[0.6948, 0.6948, 0.6948, 0.6948], q:[0.8263, 0.8263], qb:[0.4789, 0.4789], phi:[0.3474]]	5*t^2.084 + t^2.873 + 3*t^3.916 + 15*t^4.169 + 6*t^4.958 + t^5.747 + 6*t^6. - t^4.042/y - t^4.042*y	detail
489	${}\phi_{1}q_{1}q_{2}$ + ${ }M_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }M_{4}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{1}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{5}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$	0.7101	0.9148	0.7763	[M:[0.6925, 0.6976, 0.6874, 0.6874, 0.6925], q:[0.8243, 0.8294], qb:[0.4832, 0.4781], phi:[0.3463]]	2*t^2.062 + 3*t^2.078 + t^2.093 + t^2.884 + t^3.907 + t^3.922 + 3*t^4.124 + 6*t^4.14 + 8*t^4.155 + 3*t^4.17 + t^4.186 + 2*t^4.946 + 4*t^4.961 + t^4.977 + t^5.767 + 2*t^5.969 + 3*t^5.985 - t^6. - t^4.039/y - t^4.039*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
195	SU2adj1nf2	${}\phi_{1}q_{1}q_{2}$ + ${ }M_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }M_{4}\phi_{1}\tilde{q}_{1}^{2}$	0.6895	0.8748	0.7882	[M:[0.692, 0.7027, 0.692, 0.6884], q:[0.8261, 0.8261], qb:[0.4819, 0.4747], phi:[0.3478]]	t^2.065 + 2*t^2.076 + t^2.087 + t^2.108 + t^2.87 + 2*t^3.903 + t^3.913 + t^4.13 + 2*t^4.141 + 4*t^4.152 + 2*t^4.163 + 2*t^4.173 + 2*t^4.184 + t^4.195 + t^4.216 + t^4.935 + 2*t^4.946 + 2*t^4.957 + t^4.978 + t^5.74 + 2*t^5.968 + 4*t^5.978 + 2*t^5.989 - 2*t^6. - t^4.043/y - t^4.043*y	detail