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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 H0+H1 (not completed) E[USp(6)] (not completed) All theories Data used in arXiv:2408.02953

$a$ =

$c$ =

$\leq a \leq$

$\leq c \leq$

id =

Search for theories with rational R-charges and central 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
47221	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{4}\phi_{1}q_{1}^{2}$ + ${ }M_{5}\phi_{1}q_{1}\tilde{q}_{2}$ + ${ }M_{6}\phi_{1}q_{1}^{2}$	0.7308	0.9551	0.7651	[M:[0.6948, 0.6855, 0.6855, 0.6901, 0.6901, 0.6901], q:[0.4824, 0.8228], qb:[0.8321, 0.4824], phi:[0.3451]]	[M:[[1, -5], [-1, -3], [-1, -3], [0, -4], [0, -4], [0, -4]], q:[[0, 3], [-1, 2]], qb:[[1, 0], [0, 3]], phi:[[0, -2]]]	2

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

Relevant Operators	Marginal Operators	$n_{marginal}$$-$$|F_{IR}|$	Superconformal Index	Refined index
${}M_{2}$, ${ }M_{3}$, ${ }M_{4}$, ${ }M_{5}$, ${ }M_{6}$, ${ }\phi_{1}^{2}$, ${ }M_{1}$, ${ }q_{1}\tilde{q}_{2}$, ${ }q_{2}\tilde{q}_{2}$, ${ }M_{2}^{2}$, ${ }M_{2}M_{3}$, ${ }M_{3}^{2}$, ${ }M_{2}M_{4}$, ${ }M_{3}M_{4}$, ${ }M_{2}M_{5}$, ${ }M_{3}M_{5}$, ${ }M_{2}M_{6}$, ${ }M_{3}M_{6}$, ${ }M_{2}\phi_{1}^{2}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{1}M_{2}$, ${ }M_{1}M_{3}$, ${ }M_{4}^{2}$, ${ }M_{4}M_{5}$, ${ }M_{5}^{2}$, ${ }M_{4}M_{6}$, ${ }M_{5}M_{6}$, ${ }M_{6}^{2}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{5}\phi_{1}^{2}$, ${ }M_{6}\phi_{1}^{2}$, ${ }\phi_{1}^{4}$, ${ }M_{1}M_{4}$, ${ }M_{1}M_{5}$, ${ }M_{1}M_{6}$, ${ }M_{1}\phi_{1}^{2}$, ${ }M_{1}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }M_{3}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }q_{2}\tilde{q}_{1}$, ${ }M_{4}q_{1}\tilde{q}_{2}$, ${ }M_{5}q_{1}\tilde{q}_{2}$, ${ }M_{6}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{1}^{2}\tilde{q}_{2}^{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }M_{2}q_{2}\tilde{q}_{2}$, ${ }M_{3}q_{2}\tilde{q}_{2}$, ${ }M_{4}q_{2}\tilde{q}_{2}$, ${ }M_{5}q_{2}\tilde{q}_{2}$, ${ }M_{6}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$	${}$	-4	2*t^2.056 + 4*t^2.07 + t^2.084 + t^2.894 + t^3.916 + 3*t^4.113 + 8*t^4.127 + 12*t^4.141 + 4*t^4.155 + t^4.169 + 2*t^4.951 + 5*t^4.965 + t^4.979 + t^5.789 + 2*t^5.972 + 2*t^5.986 - 4*t^6. - 2*t^6.014 + 4*t^6.169 + 12*t^6.183 + 23*t^6.197 + 28*t^6.211 + 12*t^6.225 + 4*t^6.239 + t^6.253 + t^6.81 + 3*t^7.007 + 8*t^7.021 + 12*t^7.035 + 3*t^7.049 + t^7.063 + t^7.831 - t^7.873 + 3*t^8.029 + 4*t^8.042 - 6*t^8.056 - 21*t^8.07 - 12*t^8.084 - 2*t^8.098 + 5*t^8.226 + 16*t^8.24 + 34*t^8.254 + 52*t^8.268 + 58*t^8.282 + 28*t^8.296 + 12*t^8.31 + 4*t^8.324 + t^8.338 + t^8.683 + 2*t^8.866 + t^8.88 - 8*t^8.894 - 4*t^8.908 - t^4.035/y - (2*t^6.092)/y - (4*t^6.106)/y - t^6.12/y + t^7.113/y + (8*t^7.127)/y + (8*t^7.141)/y + (4*t^7.155)/y + (3*t^7.951)/y + (8*t^7.965)/y + (3*t^7.979)/y - (3*t^8.148)/y - (8*t^8.162)/y - (12*t^8.176)/y - (4*t^8.19)/y - t^8.204/y + (2*t^8.972)/y + (4*t^8.986)/y - t^4.035*y - 2*t^6.092*y - 4*t^6.106*y - t^6.12*y + t^7.113*y + 8*t^7.127*y + 8*t^7.141*y + 4*t^7.155*y + 3*t^7.951*y + 8*t^7.965*y + 3*t^7.979*y - 3*t^8.148*y - 8*t^8.162*y - 12*t^8.176*y - 4*t^8.19*y - t^8.204*y + 2*t^8.972*y + 4*t^8.986*y	(2*t^2.056)/(g1*g2^3) + (4*t^2.07)/g2^4 + (g1*t^2.084)/g2^5 + g2^6*t^2.894 + (g2^5*t^3.916)/g1 + (3*t^4.113)/(g1^2*g2^6) + (8*t^4.127)/(g1*g2^7) + (12*t^4.141)/g2^8 + (4*g1*t^4.155)/g2^9 + (g1^2*t^4.169)/g2^10 + (2*g2^3*t^4.951)/g1 + 5*g2^2*t^4.965 + g1*g2*t^4.979 + g2^12*t^5.789 + (2*g2^2*t^5.972)/g1^2 + (2*g2*t^5.986)/g1 - 4*t^6. - (2*g1*t^6.014)/g2 + (4*t^6.169)/(g1^3*g2^9) + (12*t^6.183)/(g1^2*g2^10) + (23*t^6.197)/(g1*g2^11) + (28*t^6.211)/g2^12 + (12*g1*t^6.225)/g2^13 + (4*g1^2*t^6.239)/g2^14 + (g1^3*t^6.253)/g2^15 + (g2^11*t^6.81)/g1 + (3*t^7.007)/g1^2 + (8*t^7.021)/(g1*g2) + (12*t^7.035)/g2^2 + (3*g1*t^7.049)/g2^3 + (g1^2*t^7.063)/g2^4 + (g2^10*t^7.831)/g1^2 - g1*g2^7*t^7.873 + (3*t^8.029)/(g1^3*g2) + (4*t^8.042)/(g1^2*g2^2) - (6*t^8.056)/(g1*g2^3) - (21*t^8.07)/g2^4 - (12*g1*t^8.084)/g2^5 - (2*g1^2*t^8.098)/g2^6 + (5*t^8.226)/(g1^4*g2^12) + (16*t^8.24)/(g1^3*g2^13) + (34*t^8.254)/(g1^2*g2^14) + (52*t^8.268)/(g1*g2^15) + (58*t^8.282)/g2^16 + (28*g1*t^8.296)/g2^17 + (12*g1^2*t^8.31)/g2^18 + (4*g1^3*t^8.324)/g2^19 + (g1^4*t^8.338)/g2^20 + g2^18*t^8.683 + (2*g2^8*t^8.866)/g1^2 + (g2^7*t^8.88)/g1 - 8*g2^6*t^8.894 - 4*g1*g2^5*t^8.908 - t^4.035/(g2^2*y) - (2*t^6.092)/(g1*g2^5*y) - (4*t^6.106)/(g2^6*y) - (g1*t^6.12)/(g2^7*y) + t^7.113/(g1^2*g2^6*y) + (8*t^7.127)/(g1*g2^7*y) + (8*t^7.141)/(g2^8*y) + (4*g1*t^7.155)/(g2^9*y) + (3*g2^3*t^7.951)/(g1*y) + (8*g2^2*t^7.965)/y + (3*g1*g2*t^7.979)/y - (3*t^8.148)/(g1^2*g2^8*y) - (8*t^8.162)/(g1*g2^9*y) - (12*t^8.176)/(g2^10*y) - (4*g1*t^8.19)/(g2^11*y) - (g1^2*t^8.204)/(g2^12*y) + (2*g2^2*t^8.972)/(g1^2*y) + (4*g2*t^8.986)/(g1*y) - (t^4.035*y)/g2^2 - (2*t^6.092*y)/(g1*g2^5) - (4*t^6.106*y)/g2^6 - (g1*t^6.12*y)/g2^7 + (t^7.113*y)/(g1^2*g2^6) + (8*t^7.127*y)/(g1*g2^7) + (8*t^7.141*y)/g2^8 + (4*g1*t^7.155*y)/g2^9 + (3*g2^3*t^7.951*y)/g1 + 8*g2^2*t^7.965*y + 3*g1*g2*t^7.979*y - (3*t^8.148*y)/(g1^2*g2^8) - (8*t^8.162*y)/(g1*g2^9) - (12*t^8.176*y)/g2^10 - (4*g1*t^8.19*y)/g2^11 - (g1^2*t^8.204*y)/g2^12 + (2*g2^2*t^8.972*y)/g1^2 + (4*g2*t^8.986*y)/g1

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
No data available in table

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
46485	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{4}\phi_{1}q_{1}^{2}$ + ${ }M_{5}\phi_{1}q_{1}\tilde{q}_{2}$	0.7101	0.9148	0.7763	[M:[0.6976, 0.6874, 0.6874, 0.6925, 0.6925], q:[0.4806, 0.8218], qb:[0.832, 0.4806], 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