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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
46167	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{2}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }q_{1}q_{2}\tilde{q}_{2}^{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$	0.6281	0.8156	0.7701	[M:[0.9794, 0.7655, 0.8068], q:[0.7448, 0.2758], qb:[0.4484, 0.4897], phi:[0.5103]]	[M:[[4], [-3], [-11]], q:[[1], [-5]], qb:[[10], [2]], 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
${}q_{2}\tilde{q}_{1}$, ${ }M_{2}$, ${ }q_{2}\tilde{q}_{2}$, ${ }M_{3}$, ${ }\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{1}$, ${ }\phi_{1}^{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }q_{2}^{2}\tilde{q}_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{2}q_{2}\tilde{q}_{1}$, ${ }q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{2}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }M_{3}q_{2}\tilde{q}_{1}$, ${ }M_{2}q_{2}\tilde{q}_{2}$, ${ }q_{2}^{2}\tilde{q}_{2}^{2}$, ${ }M_{2}M_{3}$, ${ }M_{3}q_{2}\tilde{q}_{2}$, ${ }M_{3}^{2}$, ${ }q_{2}\tilde{q}_{1}^{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{2}\tilde{q}_{1}\tilde{q}_{2}^{2}$, ${ }M_{1}M_{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{1}M_{3}$, ${ }M_{2}\phi_{1}^{2}$, ${ }\phi_{1}q_{2}^{3}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$, ${ }M_{3}\phi_{1}^{2}$, ${ }\phi_{1}q_{2}^{3}\tilde{q}_{2}$, ${ }M_{3}\phi_{1}q_{2}^{2}$, ${ }\tilde{q}_{1}^{2}\tilde{q}_{2}^{2}$, ${ }M_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{1}^{2}$, ${ }\phi_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$	${}M_{2}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$	1	t^2.173 + 2*t^2.296 + t^2.42 + t^2.814 + t^2.938 + t^3.062 + t^3.186 + t^3.704 + t^3.827 + t^4.221 + 2*t^4.345 + 3*t^4.469 + 4*t^4.593 + 2*t^4.717 + t^4.841 + t^4.987 + 3*t^5.111 + 4*t^5.235 + 3*t^5.358 + 2*t^5.482 + t^5.606 + t^5.628 + t^5.752 + t^5.876 + t^6. + 2*t^6.124 + 2*t^6.248 + t^6.372 + t^6.394 + 3*t^6.518 + 4*t^6.642 + 5*t^6.765 + 6*t^6.889 + 4*t^7.013 + t^7.036 + 2*t^7.137 + 2*t^7.159 + t^7.261 + 4*t^7.283 + 5*t^7.407 + 6*t^7.531 + 6*t^7.655 + 4*t^7.779 + t^7.801 + 2*t^7.903 + 3*t^7.925 + t^8.026 + 2*t^8.049 + t^8.42 + 2*t^8.443 + 3*t^8.544 + 3*t^8.567 + 3*t^8.668 + 4*t^8.69 + t^8.792 + 3*t^8.814 + 2*t^8.938 - t^4.531/y - t^6.827/y - t^6.951/y + (2*t^7.469)/y + (2*t^7.593)/y + (2*t^7.717)/y + t^7.987/y + (4*t^8.111)/y + (5*t^8.235)/y + (4*t^8.358)/y + (3*t^8.482)/y + t^8.606/y + t^8.752/y + (2*t^8.876)/y - t^4.531*y - t^6.827*y - t^6.951*y + 2*t^7.469*y + 2*t^7.593*y + 2*t^7.717*y + t^7.987*y + 4*t^8.111*y + 5*t^8.235*y + 4*t^8.358*y + 3*t^8.482*y + t^8.606*y + t^8.752*y + 2*t^8.876*y	g1^5*t^2.173 + (2*t^2.296)/g1^3 + t^2.42/g1^11 + g1^12*t^2.814 + g1^4*t^2.938 + t^3.062/g1^4 + t^3.186/g1^12 + g1^3*t^3.704 + t^3.827/g1^5 + g1^18*t^4.221 + 2*g1^10*t^4.345 + 3*g1^2*t^4.469 + (4*t^4.593)/g1^6 + (2*t^4.717)/g1^14 + t^4.841/g1^22 + g1^17*t^4.987 + 3*g1^9*t^5.111 + 4*g1*t^5.235 + (3*t^5.358)/g1^7 + (2*t^5.482)/g1^15 + t^5.606/g1^23 + g1^24*t^5.628 + g1^16*t^5.752 + g1^8*t^5.876 + t^6. + (2*t^6.124)/g1^8 + (2*t^6.248)/g1^16 + t^6.372/g1^24 + g1^23*t^6.394 + 3*g1^15*t^6.518 + 4*g1^7*t^6.642 + (5*t^6.765)/g1 + (6*t^6.889)/g1^9 + (4*t^7.013)/g1^17 + g1^30*t^7.036 + (2*t^7.137)/g1^25 + 2*g1^22*t^7.159 + t^7.261/g1^33 + 4*g1^14*t^7.283 + 5*g1^6*t^7.407 + (6*t^7.531)/g1^2 + (6*t^7.655)/g1^10 + (4*t^7.779)/g1^18 + g1^29*t^7.801 + (2*t^7.903)/g1^26 + 3*g1^21*t^7.925 + t^8.026/g1^34 + 2*g1^13*t^8.049 + t^8.42/g1^11 + 2*g1^36*t^8.443 + (3*t^8.544)/g1^19 + 3*g1^28*t^8.567 + (3*t^8.668)/g1^27 + 4*g1^20*t^8.69 + t^8.792/g1^35 + 3*g1^12*t^8.814 + 2*g1^4*t^8.938 - t^4.531/(g1^2*y) - t^6.827/(g1^5*y) - t^6.951/(g1^13*y) + (2*g1^2*t^7.469)/y + (2*t^7.593)/(g1^6*y) + (2*t^7.717)/(g1^14*y) + (g1^17*t^7.987)/y + (4*g1^9*t^8.111)/y + (5*g1*t^8.235)/y + (4*t^8.358)/(g1^7*y) + (3*t^8.482)/(g1^15*y) + t^8.606/(g1^23*y) + (g1^16*t^8.752)/y + (2*g1^8*t^8.876)/y - (t^4.531*y)/g1^2 - (t^6.827*y)/g1^5 - (t^6.951*y)/g1^13 + 2*g1^2*t^7.469*y + (2*t^7.593*y)/g1^6 + (2*t^7.717*y)/g1^14 + g1^17*t^7.987*y + 4*g1^9*t^8.111*y + 5*g1*t^8.235*y + (4*t^8.358*y)/g1^7 + (3*t^8.482*y)/g1^15 + (t^8.606*y)/g1^23 + g1^16*t^8.752*y + 2*g1^8*t^8.876*y

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
46389	${}M_{1}q_{1}q_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{2}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }q_{1}q_{2}\tilde{q}_{2}^{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{3}\phi_{1}q_{2}^{2}$	0.6231	0.8106	0.7687	[M:[0.9565, 0.7826, 0.8696], q:[0.7391, 0.3043], qb:[0.3913, 0.4783], phi:[0.5217]]	t^2.087 + 2*t^2.348 + 2*t^2.609 + t^2.87 + t^3.13 + t^3.391 + t^3.652 + 2*t^3.913 + 2*t^4.174 + 3*t^4.435 + 5*t^4.696 + 5*t^4.957 + 6*t^5.217 + 4*t^5.478 + 3*t^5.739 + 3*t^6. - t^4.565/y - t^4.565*y	detail	{a: 121293/194672, c: 78897/97336, M1: 22/23, M2: 18/23, M3: 20/23, q1: 17/23, q2: 7/23, qb1: 9/23, qb2: 11/23, phi1: 12/23}

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
45945	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{2}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }q_{1}q_{2}\tilde{q}_{2}^{2}$	0.6129	0.79	0.7758	[M:[0.9693, 0.773], q:[0.7423, 0.2884], qb:[0.4233, 0.4847], phi:[0.5153]]	t^2.135 + 2*t^2.319 + t^2.724 + t^2.908 + t^3.092 + t^3.276 + t^3.497 + t^3.681 + t^3.865 + t^4.086 + 2*t^4.27 + 3*t^4.454 + 3*t^4.638 + t^4.859 + 3*t^5.043 + 3*t^5.227 + 2*t^5.411 + t^5.448 + t^5.595 + 2*t^5.632 + 3*t^5.816 + t^6. - t^4.546/y - t^4.546*y	detail