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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
5058	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{6}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{7}q_{1}\tilde{q}_{2}$ + ${ }M_{8}\phi_{1}q_{2}\tilde{q}_{1}$	0.7102	0.918	0.7737	[M:[1.0779, 0.8096, 1.0563, 0.8311, 1.1689, 0.6754, 0.7186, 0.697], q:[0.5174, 0.4048], qb:[0.4264, 0.7641], phi:[0.4719]]	[M:[[-30], [22], [4], [-12], [12], [48], [-20], [14]], q:[[19], [11]], qb:[[-23], [1]], 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
${}M_{6}$, ${ }M_{8}$, ${ }M_{7}$, ${ }M_{2}$, ${ }M_{4}$, ${ }\phi_{1}^{2}$, ${ }M_{3}$, ${ }M_{1}$, ${ }M_{5}$, ${ }\phi_{1}q_{2}^{2}$, ${ }M_{6}^{2}$, ${ }M_{6}M_{8}$, ${ }M_{6}M_{7}$, ${ }M_{8}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }M_{7}M_{8}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{7}^{2}$, ${ }M_{2}M_{6}$, ${ }M_{4}M_{6}$, ${ }M_{2}M_{8}$, ${ }\phi_{1}q_{1}^{2}$, ${ }M_{2}M_{7}$, ${ }M_{4}M_{8}$, ${ }M_{4}M_{7}$, ${ }M_{2}^{2}$, ${ }M_{6}\phi_{1}^{2}$, ${ }M_{2}M_{4}$, ${ }M_{8}\phi_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{4}^{2}$, ${ }M_{7}\phi_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{3}M_{6}$, ${ }M_{1}M_{6}$, ${ }M_{3}M_{8}$, ${ }M_{2}\phi_{1}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{3}M_{7}$, ${ }M_{1}M_{8}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{1}M_{7}$, ${ }M_{5}M_{6}$, ${ }M_{2}M_{3}$, ${ }M_{5}M_{8}$, ${ }M_{1}M_{2}$, ${ }M_{3}M_{4}$, ${ }M_{5}M_{7}$, ${ }\phi_{1}^{4}$, ${ }M_{6}\phi_{1}q_{2}^{2}$, ${ }M_{2}M_{5}$, ${ }M_{8}\phi_{1}q_{2}^{2}$	${}M_{7}\phi_{1}q_{2}^{2}$	0	t^2.026 + t^2.091 + t^2.156 + t^2.429 + t^2.493 + t^2.831 + t^3.169 + t^3.234 + t^3.507 + t^3.844 + t^4.053 + t^4.117 + 3*t^4.182 + 2*t^4.247 + t^4.311 + t^4.455 + 3*t^4.52 + 2*t^4.584 + t^4.649 + 2*t^4.857 + 2*t^4.922 + 2*t^4.987 + t^5.195 + 3*t^5.26 + 3*t^5.325 + t^5.389 + t^5.533 + 2*t^5.598 + 3*t^5.662 + t^5.871 + t^5.935 + t^6.079 + t^6.144 + 3*t^6.208 + 4*t^6.273 + 4*t^6.338 + 2*t^6.402 + 2*t^6.467 + t^6.481 + 3*t^6.546 + 5*t^6.611 + 6*t^6.675 + 2*t^6.74 + t^6.805 + 2*t^6.884 + 4*t^6.948 + 6*t^7.013 + 2*t^7.078 + t^7.221 + 4*t^7.286 + 7*t^7.351 + 4*t^7.416 + 3*t^7.48 + t^7.545 + t^7.559 + 2*t^7.624 + 6*t^7.689 + 4*t^7.753 + 2*t^7.818 + t^7.897 + t^7.962 + 3*t^8.026 + t^8.105 - t^8.156 + t^8.17 + 3*t^8.235 + 4*t^8.299 + 7*t^8.364 + 2*t^8.429 + 4*t^8.493 + t^8.508 + 2*t^8.558 + 3*t^8.572 + 2*t^8.623 + 5*t^8.637 + 10*t^8.702 + 7*t^8.766 + 3*t^8.831 + 2*t^8.896 + 2*t^8.91 + t^8.961 + 4*t^8.975 - t^4.416/y - t^6.442/y - t^6.507/y - t^6.571/y - t^6.844/y + t^7.117/y + (2*t^7.182)/y + t^7.247/y + t^7.455/y + (2*t^7.52)/y + (2*t^7.584)/y + t^7.857/y + (2*t^7.922)/y + (2*t^7.987)/y + t^8.195/y + (4*t^8.26)/y + (4*t^8.325)/y + (2*t^8.389)/y - t^8.468/y + (2*t^8.662)/y + t^8.935/y - t^4.416*y - t^6.442*y - t^6.507*y - t^6.571*y - t^6.844*y + t^7.117*y + 2*t^7.182*y + t^7.247*y + t^7.455*y + 2*t^7.52*y + 2*t^7.584*y + t^7.857*y + 2*t^7.922*y + 2*t^7.987*y + t^8.195*y + 4*t^8.26*y + 4*t^8.325*y + 2*t^8.389*y - t^8.468*y + 2*t^8.662*y + t^8.935*y	g1^48*t^2.026 + g1^14*t^2.091 + t^2.156/g1^20 + g1^22*t^2.429 + t^2.493/g1^12 + t^2.831/g1^4 + g1^4*t^3.169 + t^3.234/g1^30 + g1^12*t^3.507 + g1^20*t^3.844 + g1^96*t^4.053 + g1^62*t^4.117 + 3*g1^28*t^4.182 + (2*t^4.247)/g1^6 + t^4.311/g1^40 + g1^70*t^4.455 + 3*g1^36*t^4.52 + 2*g1^2*t^4.584 + t^4.649/g1^32 + 2*g1^44*t^4.857 + 2*g1^10*t^4.922 + (2*t^4.987)/g1^24 + g1^52*t^5.195 + 3*g1^18*t^5.26 + (3*t^5.325)/g1^16 + t^5.389/g1^50 + g1^60*t^5.533 + 2*g1^26*t^5.598 + (3*t^5.662)/g1^8 + g1^68*t^5.871 + g1^34*t^5.935 + g1^144*t^6.079 + g1^110*t^6.144 + 3*g1^76*t^6.208 + 4*g1^42*t^6.273 + 4*g1^8*t^6.338 + (2*t^6.402)/g1^26 + (2*t^6.467)/g1^60 + g1^118*t^6.481 + 3*g1^84*t^6.546 + 5*g1^50*t^6.611 + 6*g1^16*t^6.675 + (2*t^6.74)/g1^18 + t^6.805/g1^52 + 2*g1^92*t^6.884 + 4*g1^58*t^6.948 + 6*g1^24*t^7.013 + (2*t^7.078)/g1^10 + g1^100*t^7.221 + 4*g1^66*t^7.286 + 7*g1^32*t^7.351 + (4*t^7.416)/g1^2 + (3*t^7.48)/g1^36 + t^7.545/g1^70 + g1^108*t^7.559 + 2*g1^74*t^7.624 + 6*g1^40*t^7.689 + 4*g1^6*t^7.753 + (2*t^7.818)/g1^28 + g1^116*t^7.897 + g1^82*t^7.962 + 3*g1^48*t^8.026 + g1^192*t^8.105 - t^8.156/g1^20 + g1^158*t^8.17 + 3*g1^124*t^8.235 + 4*g1^90*t^8.299 + 7*g1^56*t^8.364 + 2*g1^22*t^8.429 + (4*t^8.493)/g1^12 + g1^166*t^8.508 + (2*t^8.558)/g1^46 + 3*g1^132*t^8.572 + (2*t^8.623)/g1^80 + 5*g1^98*t^8.637 + 10*g1^64*t^8.702 + 7*g1^30*t^8.766 + (3*t^8.831)/g1^4 + (2*t^8.896)/g1^38 + 2*g1^140*t^8.91 + t^8.961/g1^72 + 4*g1^106*t^8.975 - t^4.416/(g1^2*y) - (g1^46*t^6.442)/y - (g1^12*t^6.507)/y - t^6.571/(g1^22*y) - (g1^20*t^6.844)/y + (g1^62*t^7.117)/y + (2*g1^28*t^7.182)/y + t^7.247/(g1^6*y) + (g1^70*t^7.455)/y + (2*g1^36*t^7.52)/y + (2*g1^2*t^7.584)/y + (g1^44*t^7.857)/y + (2*g1^10*t^7.922)/y + (2*t^7.987)/(g1^24*y) + (g1^52*t^8.195)/y + (4*g1^18*t^8.26)/y + (4*t^8.325)/(g1^16*y) + (2*t^8.389)/(g1^50*y) - (g1^94*t^8.468)/y + (2*t^8.662)/(g1^8*y) + (g1^34*t^8.935)/y - (t^4.416*y)/g1^2 - g1^46*t^6.442*y - g1^12*t^6.507*y - (t^6.571*y)/g1^22 - g1^20*t^6.844*y + g1^62*t^7.117*y + 2*g1^28*t^7.182*y + (t^7.247*y)/g1^6 + g1^70*t^7.455*y + 2*g1^36*t^7.52*y + 2*g1^2*t^7.584*y + g1^44*t^7.857*y + 2*g1^10*t^7.922*y + (2*t^7.987*y)/g1^24 + g1^52*t^8.195*y + 4*g1^18*t^8.26*y + (4*t^8.325*y)/g1^16 + (2*t^8.389*y)/g1^50 - g1^94*t^8.468*y + (2*t^8.662*y)/g1^8 + g1^34*t^8.935*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
6676	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{6}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{7}q_{1}\tilde{q}_{2}$ + ${ }M_{8}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{6}M_{8}$ + ${ }M_{7}X_{1}$	0.5434	0.6906	0.7869	[X:[1.4839], M:[0.7742, 1.0323, 1.0968, 0.7097, 1.2903, 1.1613, 0.5161, 0.8387], q:[0.7097, 0.5161], qb:[0.1935, 0.7742], phi:[0.4516]]	t^2.129 + t^2.323 + t^2.516 + t^2.71 + t^3.097 + t^3.29 + t^3.484 + t^3.871 + t^4.065 + t^4.258 + 2*t^4.452 + 2*t^4.645 + 2*t^4.839 + 2*t^5.032 + 2*t^5.226 + 2*t^5.419 + 3*t^5.613 + t^5.806 - t^4.355/y - t^4.355*y	detail	{a: 259017/476656, c: 164585/238328, X1: 46/31, M1: 24/31, M2: 32/31, M3: 34/31, M4: 22/31, M5: 40/31, M6: 36/31, M7: 16/31, M8: 26/31, q1: 22/31, q2: 16/31, qb1: 6/31, qb2: 24/31, phi1: 14/31}

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
3177	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{6}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{7}q_{1}\tilde{q}_{2}$	0.6897	0.8784	0.7852	[M:[1.0758, 0.8111, 1.0566, 0.8303, 1.1697, 0.6787, 0.7172], q:[0.5186, 0.4055], qb:[0.4248, 0.7641], phi:[0.4717]]	t^2.036 + t^2.152 + t^2.433 + t^2.491 + t^2.83 + t^3.17 + t^3.227 + t^3.509 + t^3.848 + t^3.906 + t^4.072 + 2*t^4.188 + t^4.245 + t^4.303 + t^4.469 + 2*t^4.527 + t^4.585 + t^4.643 + 2*t^4.866 + t^4.924 + 2*t^4.982 + t^5.206 + 2*t^5.264 + 2*t^5.321 + t^5.379 + t^5.545 + t^5.603 + 3*t^5.661 + t^5.884 + t^5.942 - t^4.415/y - t^4.415*y	detail