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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
1355	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }M_{4}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}X_{1}$ + ${ }M_{2}M_{5}$ + ${ }M_{6}\phi_{1}\tilde{q}_{1}^{2}$	0.6552	0.8231	0.7959	[X:[1.5625], M:[0.4375, 1.1875, 0.7812, 0.8751, 0.8125, 0.6874], q:[0.7969, 0.7656], qb:[0.4532, 0.3593], phi:[0.4063]]	[X:[[12]], M:[[-12], [4], [6], [-24], [-4], [36]], q:[[1], [11]], qb:[[-17], [13]], 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
${}M_{6}$, ${ }M_{3}$, ${ }M_{5}$, ${ }\phi_{1}^{2}$, ${ }M_{4}$, ${ }q_{2}\tilde{q}_{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{1}\tilde{q}_{1}$, ${ }M_{6}^{2}$, ${ }M_{3}M_{6}$, ${ }M_{5}M_{6}$, ${ }M_{6}\phi_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{3}^{2}$, ${ }M_{4}M_{6}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }X_{1}$, ${ }M_{3}M_{5}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{5}^{2}$, ${ }M_{5}\phi_{1}^{2}$, ${ }\phi_{1}^{4}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{3}M_{4}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{4}M_{5}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{4}^{2}$, ${ }M_{6}q_{2}\tilde{q}_{2}$, ${ }M_{6}q_{1}\tilde{q}_{2}$, ${ }M_{3}q_{2}\tilde{q}_{2}$, ${ }M_{6}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }M_{6}q_{1}\tilde{q}_{1}$, ${ }M_{3}q_{1}\tilde{q}_{2}$, ${ }M_{5}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }M_{5}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{2}$	${}M_{3}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$	-2	t^2.062 + t^2.344 + 2*t^2.438 + t^2.625 + t^3.375 + t^3.469 + t^3.656 + t^3.75 + t^4.124 + t^4.406 + 2*t^4.5 + t^4.594 + 3*t^4.687 + t^4.781 + 4*t^4.875 + t^4.969 + t^5.063 + t^5.25 + t^5.437 + t^5.531 + t^5.719 + 5*t^5.812 + t^5.906 - 2*t^6. + 3*t^6.094 + t^6.187 + t^6.188 - t^6.281 + t^6.375 + t^6.468 + 2*t^6.562 + t^6.656 + 4*t^6.75 + 2*t^6.843 + 3*t^6.937 + 4*t^7.031 + 3*t^7.125 + 7*t^7.313 + t^7.406 + t^7.499 + t^7.5 + t^7.593 + t^7.594 + t^7.688 + t^7.781 + 5*t^7.875 + t^7.876 + 2*t^7.968 - t^8.062 + 3*t^8.156 + t^8.249 + 5*t^8.25 - t^8.344 - 3*t^8.438 + t^8.53 + 2*t^8.531 + 2*t^8.624 - 2*t^8.625 + t^8.718 - t^8.719 + 4*t^8.812 + 2*t^8.906 - t^8.907 + 3*t^8.999 - t^4.219/y - t^6.281/y - t^6.562/y - t^6.656/y - t^6.844/y + t^7.406/y + (2*t^7.5)/y + t^7.594/y + t^7.687/y + (3*t^7.781)/y + (2*t^7.875)/y + t^7.969/y + (2*t^8.063)/y + t^8.157/y - t^8.343/y + t^8.437/y + t^8.531/y - t^8.625/y + t^8.719/y + (4*t^8.812)/y - t^4.219*y - t^6.281*y - t^6.562*y - t^6.656*y - t^6.844*y + t^7.406*y + 2*t^7.5*y + t^7.594*y + t^7.687*y + 3*t^7.781*y + 2*t^7.875*y + t^7.969*y + 2*t^8.063*y + t^8.157*y - t^8.343*y + t^8.437*y + t^8.531*y - t^8.625*y + t^8.719*y + 4*t^8.812*y	g1^36*t^2.062 + g1^6*t^2.344 + (2*t^2.438)/g1^4 + t^2.625/g1^24 + g1^24*t^3.375 + g1^14*t^3.469 + t^3.656/g1^6 + t^3.75/g1^16 + g1^72*t^4.124 + g1^42*t^4.406 + 2*g1^32*t^4.5 + g1^22*t^4.594 + 3*g1^12*t^4.687 + g1^2*t^4.781 + (4*t^4.875)/g1^8 + t^4.969/g1^18 + t^5.063/g1^28 + t^5.25/g1^48 + g1^60*t^5.437 + g1^50*t^5.531 + g1^30*t^5.719 + 5*g1^20*t^5.812 + g1^10*t^5.906 - 2*t^6. + (3*t^6.094)/g1^10 + g1^108*t^6.187 + t^6.188/g1^20 - t^6.281/g1^30 + t^6.375/g1^40 + g1^78*t^6.468 + 2*g1^68*t^6.562 + g1^58*t^6.656 + 4*g1^48*t^6.75 + 2*g1^38*t^6.843 + 3*g1^28*t^6.937 + 4*g1^18*t^7.031 + 3*g1^8*t^7.125 + (7*t^7.313)/g1^12 + t^7.406/g1^22 + g1^96*t^7.499 + t^7.5/g1^32 + g1^86*t^7.593 + t^7.594/g1^42 + t^7.688/g1^52 + g1^66*t^7.781 + 5*g1^56*t^7.875 + t^7.876/g1^72 + 2*g1^46*t^7.968 - g1^36*t^8.062 + 3*g1^26*t^8.156 + g1^144*t^8.249 + 5*g1^16*t^8.25 - g1^6*t^8.344 - (3*t^8.438)/g1^4 + g1^114*t^8.53 + (2*t^8.531)/g1^14 + 2*g1^104*t^8.624 - (2*t^8.625)/g1^24 + g1^94*t^8.718 - t^8.719/g1^34 + 4*g1^84*t^8.812 + 2*g1^74*t^8.906 - t^8.907/g1^54 + 3*g1^64*t^8.999 - t^4.219/(g1^2*y) - (g1^34*t^6.281)/y - (g1^4*t^6.562)/y - t^6.656/(g1^6*y) - t^6.844/(g1^26*y) + (g1^42*t^7.406)/y + (2*g1^32*t^7.5)/y + (g1^22*t^7.594)/y + (g1^12*t^7.687)/y + (3*g1^2*t^7.781)/y + (2*t^7.875)/(g1^8*y) + t^7.969/(g1^18*y) + (2*t^8.063)/(g1^28*y) + t^8.157/(g1^38*y) - (g1^70*t^8.343)/y + (g1^60*t^8.437)/y + (g1^50*t^8.531)/y - (g1^40*t^8.625)/y + (g1^30*t^8.719)/y + (4*g1^20*t^8.812)/y - (t^4.219*y)/g1^2 - g1^34*t^6.281*y - g1^4*t^6.562*y - (t^6.656*y)/g1^6 - (t^6.844*y)/g1^26 + g1^42*t^7.406*y + 2*g1^32*t^7.5*y + g1^22*t^7.594*y + g1^12*t^7.687*y + 3*g1^2*t^7.781*y + (2*t^7.875*y)/g1^8 + (t^7.969*y)/g1^18 + (2*t^8.063*y)/g1^28 + (t^8.157*y)/g1^38 - g1^70*t^8.343*y + g1^60*t^8.437*y + g1^50*t^8.531*y - g1^40*t^8.625*y + g1^30*t^8.719*y + 4*g1^20*t^8.812*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
2400	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }M_{4}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}X_{1}$ + ${ }M_{2}M_{5}$ + ${ }M_{6}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{7}q_{1}\tilde{q}_{1}$	0.6743	0.8589	0.7851	[X:[1.5584], M:[0.4416, 1.1861, 0.7792, 0.8832, 0.8139, 0.6753, 0.7446], q:[0.7965, 0.7619], qb:[0.4589, 0.355], phi:[0.4069]]	t^2.026 + t^2.234 + t^2.338 + 2*t^2.442 + t^2.649 + t^3.351 + t^3.454 + t^3.662 + t^4.052 + t^4.259 + t^4.363 + 3*t^4.467 + 2*t^4.571 + 5*t^4.675 + t^4.779 + 5*t^4.883 + t^4.987 + t^5.091 + t^5.299 + t^5.376 + t^5.48 + t^5.584 + 2*t^5.688 + 4*t^5.792 + 2*t^5.896 - 2*t^6. - t^4.221/y - t^4.221*y	detail
2398	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }M_{4}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}X_{1}$ + ${ }M_{2}M_{5}$ + ${ }M_{6}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{7}q_{1}\tilde{q}_{2}$	0.669	0.8463	0.7905	[X:[1.5691], M:[0.4309, 1.1897, 0.7845, 0.8619, 0.8103, 0.7072, 0.8361], q:[0.7974, 0.7716], qb:[0.4438, 0.3665], phi:[0.4052]]	t^2.122 + t^2.354 + 2*t^2.431 + t^2.508 + t^2.586 + t^3.414 + t^3.646 + t^3.724 + t^4.243 + t^4.475 + 2*t^4.552 + 2*t^4.63 + 3*t^4.707 + t^4.785 + 5*t^4.862 + 3*t^4.939 + 2*t^5.017 + t^5.094 + t^5.171 + t^5.536 + t^5.768 + 4*t^5.845 - 2*t^6. - t^4.215/y - t^4.215*y	detail	{a: 131507/196566, c: 332699/393132, X1: 284/181, M1: 78/181, M2: 646/543, M3: 142/181, M4: 156/181, M5: 440/543, M6: 128/181, M7: 454/543, q1: 433/543, q2: 419/543, qb1: 241/543, qb2: 199/543, phi1: 220/543}

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
862	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }M_{4}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}X_{1}$ + ${ }M_{2}M_{5}$	0.6345	0.7831	0.8102	[X:[1.5667], M:[0.4333, 1.1889, 0.7834, 0.8665, 0.8111], q:[0.7972, 0.7695], qb:[0.4471, 0.364], phi:[0.4055]]	t^2.35 + 2*t^2.433 + t^2.6 + t^3.4 + t^3.484 + t^3.65 + t^3.733 + t^3.899 + t^4.617 + 2*t^4.7 + t^4.783 + 4*t^4.867 + t^4.95 + t^5.033 + t^5.199 + 4*t^5.834 + t^5.917 - 2*t^6. - t^4.217/y - t^4.217*y	detail