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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
1813	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }M_{4}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$	0.6903	0.8614	0.8014	[M:[0.6811, 1.1063, 0.9718, 0.7375], q:[0.7766, 0.5423], qb:[0.4859, 0.4078], phi:[0.4469]]	[M:[[36], [-12], [22], [-8]], q:[[-3], [-33]], qb:[[11], [1]], phi:[[6]]]	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
${}M_{1}$, ${ }M_{4}$, ${ }\phi_{1}^{2}$, ${ }q_{2}\tilde{q}_{2}$, ${ }M_{3}$, ${ }M_{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }q_{1}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{1}M_{4}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{4}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}^{2}$, ${ }M_{1}\phi_{1}^{2}$, ${ }M_{4}\phi_{1}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{1}M_{3}$, ${ }M_{4}q_{2}\tilde{q}_{2}$, ${ }M_{3}M_{4}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{1}M_{2}$, ${ }\phi_{1}^{4}$, ${ }M_{2}M_{4}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$, ${ }M_{3}\phi_{1}^{2}$, ${ }q_{2}^{2}\tilde{q}_{2}^{2}$, ${ }M_{4}q_{1}\tilde{q}_{2}$, ${ }M_{3}q_{2}\tilde{q}_{2}$, ${ }M_{3}^{2}$	${}$	-1	t^2.043 + t^2.213 + t^2.681 + t^2.85 + t^2.915 + t^3.319 + t^3.553 + t^3.787 + t^4.022 + t^4.087 + t^4.191 + 2*t^4.256 + 2*t^4.425 + t^4.594 + t^4.725 + 2*t^4.894 + t^4.959 + t^5.063 + t^5.128 + 2*t^5.362 + 2*t^5.531 + t^5.597 + t^5.701 + t^5.766 + t^5.831 - t^6. + t^6.065 + t^6.13 + 2*t^6.234 + 2*t^6.299 + t^6.403 + 4*t^6.469 + 3*t^6.638 + t^6.703 + t^6.768 + t^6.807 + t^6.872 + 3*t^6.937 + t^7.002 + t^7.041 + 3*t^7.106 + t^7.171 + 2*t^7.275 + t^7.341 + 2*t^7.406 + t^7.445 + 3*t^7.575 + t^7.64 + 2*t^7.744 + 2*t^7.809 + t^7.874 + t^7.913 + t^7.978 + t^8.043 + t^8.108 + t^8.174 - t^8.213 + 3*t^8.278 + 2*t^8.343 + t^8.382 + t^8.447 + 4*t^8.512 + t^8.551 + t^8.616 + 3*t^8.681 + 2*t^8.746 + t^8.785 + t^8.811 + t^8.85 - t^8.915 + 3*t^8.98 - t^4.341/y - t^6.384/y - t^6.553/y + t^7.425/y + t^7.725/y + (2*t^7.894)/y + t^7.959/y + t^8.063/y + (2*t^8.128)/y + t^8.297/y + t^8.362/y - t^8.427/y + (2*t^8.531)/y + t^8.597/y + t^8.766/y + t^8.831/y - t^4.341*y - t^6.384*y - t^6.553*y + t^7.425*y + t^7.725*y + 2*t^7.894*y + t^7.959*y + t^8.063*y + 2*t^8.128*y + t^8.297*y + t^8.362*y - t^8.427*y + 2*t^8.531*y + t^8.597*y + t^8.766*y + t^8.831*y	g1^36*t^2.043 + t^2.213/g1^8 + g1^12*t^2.681 + t^2.85/g1^32 + g1^22*t^2.915 + t^3.319/g1^12 + t^3.553/g1^2 + g1^8*t^3.787 + g1^18*t^4.022 + g1^72*t^4.087 + t^4.191/g1^26 + 2*g1^28*t^4.256 + (2*t^4.425)/g1^16 + t^4.594/g1^60 + g1^48*t^4.725 + 2*g1^4*t^4.894 + g1^58*t^4.959 + t^5.063/g1^40 + g1^14*t^5.128 + 2*g1^24*t^5.362 + (2*t^5.531)/g1^20 + g1^34*t^5.597 + t^5.701/g1^64 + t^5.766/g1^10 + g1^44*t^5.831 - t^6. + g1^54*t^6.065 + g1^108*t^6.13 + 2*g1^10*t^6.234 + 2*g1^64*t^6.299 + t^6.403/g1^34 + 4*g1^20*t^6.469 + (3*t^6.638)/g1^24 + g1^30*t^6.703 + g1^84*t^6.768 + t^6.807/g1^68 + t^6.872/g1^14 + 3*g1^40*t^6.937 + g1^94*t^7.002 + t^7.041/g1^58 + (3*t^7.106)/g1^4 + g1^50*t^7.171 + (2*t^7.275)/g1^48 + g1^6*t^7.341 + 2*g1^60*t^7.406 + t^7.445/g1^92 + 3*g1^16*t^7.575 + g1^70*t^7.64 + (2*t^7.744)/g1^28 + 2*g1^26*t^7.809 + g1^80*t^7.874 + t^7.913/g1^72 + t^7.978/g1^18 + g1^36*t^8.043 + g1^90*t^8.108 + g1^144*t^8.174 - t^8.213/g1^8 + 3*g1^46*t^8.278 + 2*g1^100*t^8.343 + t^8.382/g1^52 + g1^2*t^8.447 + 4*g1^56*t^8.512 + t^8.551/g1^96 + t^8.616/g1^42 + 3*g1^12*t^8.681 + 2*g1^66*t^8.746 + t^8.785/g1^86 + g1^120*t^8.811 + t^8.85/g1^32 - g1^22*t^8.915 + 3*g1^76*t^8.98 - (g1^6*t^4.341)/y - (g1^42*t^6.384)/y - t^6.553/(g1^2*y) + t^7.425/(g1^16*y) + (g1^48*t^7.725)/y + (2*g1^4*t^7.894)/y + (g1^58*t^7.959)/y + t^8.063/(g1^40*y) + (2*g1^14*t^8.128)/y + t^8.297/(g1^30*y) + (g1^24*t^8.362)/y - (g1^78*t^8.427)/y + (2*t^8.531)/(g1^20*y) + (g1^34*t^8.597)/y + t^8.766/(g1^10*y) + (g1^44*t^8.831)/y - g1^6*t^4.341*y - g1^42*t^6.384*y - (t^6.553*y)/g1^2 + (t^7.425*y)/g1^16 + g1^48*t^7.725*y + 2*g1^4*t^7.894*y + g1^58*t^7.959*y + (t^8.063*y)/g1^40 + 2*g1^14*t^8.128*y + (t^8.297*y)/g1^30 + g1^24*t^8.362*y - g1^78*t^8.427*y + (2*t^8.531*y)/g1^20 + g1^34*t^8.597*y + (t^8.766*y)/g1^10 + g1^44*t^8.831*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
2828	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }M_{4}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{1}M_{3}$	0.6407	0.8088	0.7921	[M:[0.8966, 1.0345, 1.1034, 0.6897], q:[0.7586, 0.3448], qb:[0.5517, 0.4138], phi:[0.4828]]	t^2.069 + t^2.276 + t^2.69 + t^2.897 + t^3.103 + t^3.31 + 2*t^3.517 + t^3.724 + t^3.931 + 2*t^4.138 + 2*t^4.345 + t^4.552 + 2*t^4.759 + 2*t^4.966 + 2*t^5.172 + 2*t^5.379 + 3*t^5.586 + 4*t^5.793 + t^6. - t^4.448/y - t^4.448*y	detail	{a: 125001/195112, c: 19725/24389, M1: 26/29, M2: 30/29, M3: 32/29, M4: 20/29, q1: 22/29, q2: 10/29, qb1: 16/29, qb2: 12/29, phi1: 14/29}
2829	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }M_{4}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{3}M_{5}$	0.6884	0.8584	0.802	[M:[0.7083, 1.0972, 0.9884, 0.7315, 1.0116], q:[0.7743, 0.5174], qb:[0.4942, 0.4086], phi:[0.4514]]	t^2.125 + t^2.194 + t^2.708 + t^2.778 + t^3.035 + t^3.292 + t^3.549 + t^3.806 + t^4.062 + t^4.132 + t^4.25 + 2*t^4.319 + 2*t^4.389 + t^4.459 + t^4.833 + 2*t^4.903 + t^4.972 + t^5.16 + t^5.229 + 2*t^5.417 + 2*t^5.486 + t^5.556 + t^5.743 + t^5.813 - t^6. - t^4.354/y - t^4.354*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
348	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }M_{4}\phi_{1}\tilde{q}_{2}^{2}$	0.6916	0.8641	0.8004	[M:[0.6838, 1.1054, 0.9954, 0.6931], q:[0.7763, 0.5398], qb:[0.4648, 0.4298], phi:[0.4473]]	t^2.051 + t^2.079 + t^2.684 + t^2.909 + t^2.986 + t^3.316 + t^3.619 + t^3.723 + t^4.026 + t^4.103 + 2*t^4.131 + t^4.158 + t^4.251 + t^4.356 + t^4.581 + t^4.735 + t^4.763 + t^4.96 + t^4.988 + t^5.038 + t^5.065 + 2*t^5.368 + t^5.395 + t^5.593 + t^5.67 + t^5.698 + t^5.803 + t^5.818 + t^5.972 - 2*t^6. - t^4.342/y - t^4.342*y	detail