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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
3476	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{5}q_{2}\tilde{q}_{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{6}$ + ${ }\phi_{1}q_{1}\tilde{q}_{2}$ + ${ }M_{1}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{7}\phi_{1}q_{2}^{2}$	0.6588	0.8309	0.7928	[M:[0.8091, 1.2363, 0.7184, 0.8544, 0.673, 1.1456, 0.7184], q:[0.741, 0.4499], qb:[0.4045, 0.8771], phi:[0.3819]]	[M:[[2], [8], [-18], [12], [-28], [-12], [-18]], q:[[-13], [11]], qb:[[1], [17]], phi:[[-4]]]	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
${}M_{5}$, ${ }M_{3}$, ${ }M_{7}$, ${ }M_{1}$, ${ }M_{4}$, ${ }M_{6}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{5}^{2}$, ${ }M_{3}M_{5}$, ${ }M_{5}M_{7}$, ${ }M_{3}^{2}$, ${ }M_{3}M_{7}$, ${ }M_{7}^{2}$, ${ }M_{1}M_{5}$, ${ }M_{1}M_{3}$, ${ }M_{4}M_{5}$, ${ }M_{1}M_{7}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{3}M_{4}$, ${ }M_{4}M_{7}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }M_{1}^{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }M_{1}M_{4}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{4}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{5}M_{6}$, ${ }M_{3}M_{6}$, ${ }M_{6}M_{7}$, ${ }\phi_{1}q_{1}^{2}$, ${ }M_{5}\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{2}M_{5}$, ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{7}\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{2}M_{3}$, ${ }M_{1}M_{6}$, ${ }M_{2}M_{7}$, ${ }M_{7}\phi_{1}q_{2}\tilde{q}_{1}$	${}$	-1	t^2.019 + 2*t^2.155 + t^2.427 + t^2.563 + t^3.437 + t^3.573 + 2*t^3.709 + t^4.038 + 2*t^4.174 + 3*t^4.31 + t^4.446 + 3*t^4.582 + 2*t^4.718 + 2*t^4.854 + t^4.99 + t^5.127 + t^5.456 + 3*t^5.592 + 3*t^5.728 + 3*t^5.864 - t^6. + t^6.057 + t^6.136 + 2*t^6.193 + t^6.272 + 3*t^6.329 + 5*t^6.465 + 3*t^6.601 + 5*t^6.737 + 5*t^6.873 + 4*t^7.01 + 3*t^7.146 + 2*t^7.282 + t^7.418 + t^7.475 - t^7.554 + 3*t^7.611 + 6*t^7.747 + 4*t^7.883 + 3*t^8.019 + t^8.076 - 2*t^8.155 + 2*t^8.212 + 2*t^8.291 + 3*t^8.348 - 2*t^8.427 + 5*t^8.484 - t^8.563 + 8*t^8.62 - 2*t^8.699 + 5*t^8.756 + 9*t^8.893 - t^4.146/y - t^6.165/y - (2*t^6.301)/y - t^6.573/y + (2*t^7.174)/y + t^7.31/y + t^7.446/y + (3*t^7.582)/y + (3*t^7.718)/y + (3*t^7.99)/y + t^8.127/y - t^8.184/y - (2*t^8.32)/y - (2*t^8.456)/y + (2*t^8.592)/y + (2*t^8.728)/y + (5*t^8.864)/y - t^4.146*y - t^6.165*y - 2*t^6.301*y - t^6.573*y + 2*t^7.174*y + t^7.31*y + t^7.446*y + 3*t^7.582*y + 3*t^7.718*y + 3*t^7.99*y + t^8.127*y - t^8.184*y - 2*t^8.32*y - 2*t^8.456*y + 2*t^8.592*y + 2*t^8.728*y + 5*t^8.864*y	t^2.019/g1^28 + (2*t^2.155)/g1^18 + g1^2*t^2.427 + g1^12*t^2.563 + t^3.437/g1^12 + t^3.573/g1^2 + 2*g1^8*t^3.709 + t^4.038/g1^56 + (2*t^4.174)/g1^46 + (3*t^4.31)/g1^36 + t^4.446/g1^26 + (3*t^4.582)/g1^16 + (2*t^4.718)/g1^6 + 2*g1^4*t^4.854 + g1^14*t^4.99 + g1^24*t^5.127 + t^5.456/g1^40 + (3*t^5.592)/g1^30 + (3*t^5.728)/g1^20 + (3*t^5.864)/g1^10 - t^6. + t^6.057/g1^84 + g1^10*t^6.136 + (2*t^6.193)/g1^74 + g1^20*t^6.272 + (3*t^6.329)/g1^64 + (5*t^6.465)/g1^54 + (3*t^6.601)/g1^44 + (5*t^6.737)/g1^34 + (5*t^6.873)/g1^24 + (4*t^7.01)/g1^14 + (3*t^7.146)/g1^4 + 2*g1^6*t^7.282 + g1^16*t^7.418 + t^7.475/g1^68 - g1^26*t^7.554 + (3*t^7.611)/g1^58 + (6*t^7.747)/g1^48 + (4*t^7.883)/g1^38 + (3*t^8.019)/g1^28 + t^8.076/g1^112 - (2*t^8.155)/g1^18 + (2*t^8.212)/g1^102 + (2*t^8.291)/g1^8 + (3*t^8.348)/g1^92 - 2*g1^2*t^8.427 + (5*t^8.484)/g1^82 - g1^12*t^8.563 + (8*t^8.62)/g1^72 - 2*g1^22*t^8.699 + (5*t^8.756)/g1^62 + (9*t^8.893)/g1^52 - t^4.146/(g1^4*y) - t^6.165/(g1^32*y) - (2*t^6.301)/(g1^22*y) - t^6.573/(g1^2*y) + (2*t^7.174)/(g1^46*y) + t^7.31/(g1^36*y) + t^7.446/(g1^26*y) + (3*t^7.582)/(g1^16*y) + (3*t^7.718)/(g1^6*y) + (3*g1^14*t^7.99)/y + (g1^24*t^8.127)/y - t^8.184/(g1^60*y) - (2*t^8.32)/(g1^50*y) - (2*t^8.456)/(g1^40*y) + (2*t^8.592)/(g1^30*y) + (2*t^8.728)/(g1^20*y) + (5*t^8.864)/(g1^10*y) - (t^4.146*y)/g1^4 - (t^6.165*y)/g1^32 - (2*t^6.301*y)/g1^22 - (t^6.573*y)/g1^2 + (2*t^7.174*y)/g1^46 + (t^7.31*y)/g1^36 + (t^7.446*y)/g1^26 + (3*t^7.582*y)/g1^16 + (3*t^7.718*y)/g1^6 + 3*g1^14*t^7.99*y + g1^24*t^8.127*y - (t^8.184*y)/g1^60 - (2*t^8.32*y)/g1^50 - (2*t^8.456*y)/g1^40 + (2*t^8.592*y)/g1^30 + (2*t^8.728*y)/g1^20 + (5*t^8.864*y)/g1^10

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
5157	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{5}q_{2}\tilde{q}_{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{6}$ + ${ }\phi_{1}q_{1}\tilde{q}_{2}$ + ${ }M_{1}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{7}\phi_{1}q_{2}^{2}$ + ${ }M_{8}\phi_{1}\tilde{q}_{1}^{2}$	0.6748	0.8586	0.7859	[M:[0.8089, 1.2355, 0.7202, 0.8532, 0.6758, 1.1468, 0.7202, 0.8089], q:[0.7423, 0.4488], qb:[0.4044, 0.8754], phi:[0.3823]]	t^2.027 + 2*t^2.161 + 2*t^2.427 + t^2.56 + t^3.44 + 2*t^3.706 + t^4.055 + 2*t^4.188 + 3*t^4.321 + 2*t^4.454 + 5*t^4.587 + 2*t^4.72 + 4*t^4.853 + 2*t^4.986 + t^5.119 + t^5.468 + 2*t^5.601 + t^5.734 + 4*t^5.867 - 2*t^6. - t^4.147/y - t^4.147*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
2898	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{5}q_{2}\tilde{q}_{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{6}$ + ${ }\phi_{1}q_{1}\tilde{q}_{2}$ + ${ }M_{1}\phi_{1}\tilde{q}_{1}^{2}$	0.6388	0.7929	0.8057	[M:[0.8082, 1.2328, 0.7263, 0.8492, 0.6853, 1.1508], q:[0.7468, 0.4451], qb:[0.4041, 0.8696], phi:[0.3836]]	t^2.056 + t^2.179 + t^2.425 + t^2.547 + t^3.453 + t^3.575 + 2*t^3.698 + t^3.821 + t^4.112 + t^4.235 + t^4.358 + t^4.481 + 2*t^4.603 + t^4.726 + 2*t^4.849 + t^4.972 + t^5.095 + t^5.508 + 2*t^5.631 + 2*t^5.754 + 2*t^5.877 - t^4.151/y - t^4.151*y	detail