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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

#	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
3131	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{3}M_{5}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{6}\phi_{1}^{2}$ + ${ }\phi_{1}q_{2}^{2}$ + ${ }M_{7}q_{1}\tilde{q}_{2}$	0.6635	0.8304	0.7991	[M:[0.8173, 1.0609, 1.1827, 0.6956, 0.8173, 1.0609, 1.0434], q:[0.4174, 0.7652], qb:[0.3999, 0.5392], phi:[0.4696]]	[M:[[-12], [4], [12], [-20], [-12], [4], [-30]], q:[[11], [1]], qb:[[-23], [19]], phi:[[-2]]]	1

Relevant Operators	Marginal Operators	$n_{marginal}$$-$$|F_{IR}|$	Superconformal Index	Refined index

Relevant Operators	Marginal Operators	$n_{marginal}$$-$$|F_{IR}|$	Superconformal Index	Refined index
${}M_{4}$, ${ }M_{1}$, ${ }M_{5}$, ${ }M_{7}$, ${ }M_{2}$, ${ }M_{6}$, ${ }q_{2}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}^{2}$, ${ }M_{4}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{1}M_{4}$, ${ }M_{4}M_{5}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{1}^{2}$, ${ }M_{1}M_{5}$, ${ }M_{5}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{4}M_{7}$, ${ }M_{2}M_{4}$, ${ }M_{4}M_{6}$, ${ }M_{1}M_{7}$, ${ }M_{5}M_{7}$, ${ }M_{4}q_{2}\tilde{q}_{1}$, ${ }M_{1}M_{2}$, ${ }M_{2}M_{5}$, ${ }M_{1}M_{6}$, ${ }M_{5}M_{6}$, ${ }M_{4}\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{4}\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{5}q_{2}\tilde{q}_{1}$	${}M_{4}\phi_{1}q_{1}^{2}$	-2	t^2.087 + 2*t^2.452 + t^3.13 + 2*t^3.183 + t^3.495 + t^3.808 + t^3.861 + t^3.913 + t^4.173 + t^4.226 + t^4.279 + 2*t^4.539 + t^4.644 + 3*t^4.904 + t^5.217 + 2*t^5.269 + 2*t^5.582 + 3*t^5.635 + t^5.895 + 2*t^5.947 - 2*t^6. - t^6.053 + 4*t^6.26 + 4*t^6.313 + 3*t^6.365 - t^6.418 + 3*t^6.625 + 2*t^6.678 + t^6.731 + t^6.938 + 5*t^6.991 + t^7.096 + 2*t^7.303 + 6*t^7.356 + t^7.616 + 3*t^7.669 + 4*t^7.721 + t^7.982 + 4*t^8.034 + 2*t^8.087 - t^8.139 + 4*t^8.347 + 5*t^8.399 - 2*t^8.452 - 3*t^8.505 + t^8.557 + 7*t^8.712 + 5*t^8.765 + 2*t^8.817 - t^8.87 + t^8.923 - t^4.409/y - t^6.495/y - t^6.861/y + t^7.226/y + t^7.279/y + t^7.539/y - t^7.591/y + t^7.904/y + t^7.957/y + t^8.217/y + (2*t^8.269)/y + t^8.322/y + (2*t^8.582)/y + (4*t^8.635)/y + t^8.895/y + (2*t^8.947)/y - t^4.409*y - t^6.495*y - t^6.861*y + t^7.226*y + t^7.279*y + t^7.539*y - t^7.591*y + t^7.904*y + t^7.957*y + t^8.217*y + 2*t^8.269*y + t^8.322*y + 2*t^8.582*y + 4*t^8.635*y + t^8.895*y + 2*t^8.947*y	t^2.087/g1^20 + (2*t^2.452)/g1^12 + t^3.13/g1^30 + 2*g1^4*t^3.183 + t^3.495/g1^22 + t^3.808/g1^48 + t^3.861/g1^14 + g1^20*t^3.913 + t^4.173/g1^40 + t^4.226/g1^6 + g1^28*t^4.279 + (2*t^4.539)/g1^32 + g1^36*t^4.644 + (3*t^4.904)/g1^24 + t^5.217/g1^50 + (2*t^5.269)/g1^16 + (2*t^5.582)/g1^42 + (3*t^5.635)/g1^8 + t^5.895/g1^68 + (2*t^5.947)/g1^34 - 2*t^6. - g1^34*t^6.053 + (4*t^6.26)/g1^60 + (4*t^6.313)/g1^26 + 3*g1^8*t^6.365 - g1^42*t^6.418 + (3*t^6.625)/g1^52 + (2*t^6.678)/g1^18 + g1^16*t^6.731 + t^6.938/g1^78 + (5*t^6.991)/g1^44 + g1^24*t^7.096 + (2*t^7.303)/g1^70 + (6*t^7.356)/g1^36 + t^7.616/g1^96 + (3*t^7.669)/g1^62 + (4*t^7.721)/g1^28 + t^7.982/g1^88 + (4*t^8.034)/g1^54 + (2*t^8.087)/g1^20 - g1^14*t^8.139 + (4*t^8.347)/g1^80 + (5*t^8.399)/g1^46 - (2*t^8.452)/g1^12 - 3*g1^22*t^8.505 + g1^56*t^8.557 + (7*t^8.712)/g1^72 + (5*t^8.765)/g1^38 + (2*t^8.817)/g1^4 - g1^30*t^8.87 + g1^64*t^8.923 - t^4.409/(g1^2*y) - t^6.495/(g1^22*y) - t^6.861/(g1^14*y) + t^7.226/(g1^6*y) + (g1^28*t^7.279)/y + t^7.539/(g1^32*y) - (g1^2*t^7.591)/y + t^7.904/(g1^24*y) + (g1^10*t^7.957)/y + t^8.217/(g1^50*y) + (2*t^8.269)/(g1^16*y) + (g1^18*t^8.322)/y + (2*t^8.582)/(g1^42*y) + (4*t^8.635)/(g1^8*y) + t^8.895/(g1^68*y) + (2*t^8.947)/(g1^34*y) - (t^4.409*y)/g1^2 - (t^6.495*y)/g1^22 - (t^6.861*y)/g1^14 + (t^7.226*y)/g1^6 + g1^28*t^7.279*y + (t^7.539*y)/g1^32 - g1^2*t^7.591*y + (t^7.904*y)/g1^24 + g1^10*t^7.957*y + (t^8.217*y)/g1^50 + (2*t^8.269*y)/g1^16 + g1^18*t^8.322*y + (2*t^8.582*y)/g1^42 + (4*t^8.635*y)/g1^8 + (t^8.895*y)/g1^68 + (2*t^8.947*y)/g1^34

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

#	Superpotential	Central Charge $a$	Central Charge $c$	Ratio $a/c$	$R$-charges	Superconformal Index	More Info.	Rational
5000	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{3}M_{5}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{6}\phi_{1}^{2}$ + ${ }\phi_{1}q_{2}^{2}$ + ${ }M_{7}q_{1}\tilde{q}_{2}$ + ${ }M_{8}\phi_{1}q_{1}\tilde{q}_{1}$	0.6838	0.8683	0.7875	[M:[0.8192, 1.0603, 1.1808, 0.6987, 0.8192, 1.0603, 1.0481, 0.7109], q:[0.4157, 0.7651], qb:[0.4035, 0.5362], phi:[0.4699]]	t^2.096 + t^2.133 + 2*t^2.458 + t^3.144 + 2*t^3.181 + t^3.506 + t^3.831 + t^3.904 + t^4.192 + 2*t^4.229 + 2*t^4.265 + 2*t^4.554 + 2*t^4.59 + t^4.627 + 3*t^4.915 + t^5.24 + 3*t^5.277 + 2*t^5.313 + 2*t^5.602 + 4*t^5.638 + t^5.927 + 2*t^5.964 - 2*t^6. - t^4.41/y - t^4.41*y	detail
5001	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{3}M_{5}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{6}\phi_{1}^{2}$ + ${ }\phi_{1}q_{2}^{2}$ + ${ }M_{7}q_{1}\tilde{q}_{2}$ + ${ }M_{8}\phi_{1}q_{1}^{2}$	0.6842	0.8706	0.7859	[M:[0.8157, 1.0614, 1.1843, 0.6928, 0.8157, 1.0614, 1.0393, 0.6928], q:[0.4189, 0.7654], qb:[0.3968, 0.5418], phi:[0.4693]]	2*t^2.079 + 2*t^2.447 + t^3.118 + 2*t^3.184 + t^3.486 + t^3.788 + t^3.855 + 3*t^4.157 + t^4.224 + t^4.29 + 4*t^4.526 + t^4.659 + 3*t^4.894 + 2*t^5.196 + 4*t^5.263 + 3*t^5.565 + 3*t^5.631 + 2*t^5.867 + 3*t^5.933 - 3*t^6. - t^4.408/y - t^4.408*y	detail
4999	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{3}M_{5}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{6}\phi_{1}^{2}$ + ${ }\phi_{1}q_{2}^{2}$ + ${ }M_{7}q_{1}\tilde{q}_{2}$ + ${ }M_{8}\phi_{1}\tilde{q}_{1}^{2}$	0.6837	0.8675	0.7881	[M:[0.8233, 1.0589, 1.1767, 0.7055, 0.8233, 1.0589, 1.0583, 0.7067], q:[0.412, 0.7647], qb:[0.4114, 0.5298], phi:[0.4706]]	t^2.117 + t^2.12 + 2*t^2.47 + t^3.175 + 2*t^3.177 + t^3.528 + t^3.882 + t^3.883 + t^4.233 + t^4.235 + 2*t^4.237 + t^4.24 + 2*t^4.587 + 3*t^4.59 + 3*t^4.94 + t^5.291 + 2*t^5.293 + t^5.295 + 2*t^5.297 + 2*t^5.645 + 3*t^5.647 + t^5.648 + 2*t^5.998 - 2*t^6. - t^4.412/y - t^4.412*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

#	Theory	Superpotential	Central Charge $a$	Central Charge $c$	Ratio $a/c$	$R$-charges	Superconformal Index	More Info.	Rational
No data available in table

Equivalent Fixed Points from the Same Seed Theory

Below is a list of equivalent fixed points from the same seed theories.

Search in the table:

7102550All entries per page

id	Theory	Superpotential	Central Charge $a$	Central Charge $c$	Ratio $a/c$	$R$-charges	More Info.	Rational

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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

#	Theory	Superpotential	Central Charge $a$	Central Charge $c$	Ratio $a/c$	$R$-charges	Superconformal Index	More Info.	Rational
2063	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{3}M_{5}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{6}\phi_{1}^{2}$ + ${ }\phi_{1}q_{2}^{2}$	0.6694	0.8378	0.799	[M:[0.8331, 1.0556, 1.1669, 0.7218, 0.8331, 1.0556], q:[0.403, 0.7639], qb:[0.4301, 0.5143], phi:[0.4722]]	t^2.165 + 2*t^2.499 + t^2.752 + 2*t^3.167 + t^3.582 + t^3.835 + t^3.916 + t^3.997 + t^4.168 + t^4.25 + t^4.331 + t^4.502 + 2*t^4.665 + t^4.917 + 3*t^4.998 + 2*t^5.251 + 2*t^5.332 + t^5.504 + 3*t^5.666 + t^5.919 - 2*t^6. - t^4.417/y - t^4.417*y	detail