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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): 6 fund + 6 anti-fund (not completed) 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
46776	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}^{4}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{4}\phi_{1}q_{2}^{2}$ + ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{1}$	0.6633	0.8593	0.772	[M:[1.1588, 1.1588, 0.6825, 0.6825, 0.6825], q:[0.4325, 0.4088], qb:[0.4088, 0.75], phi:[0.5]]	[M:[[0, 1], [1, 0], [0, -2], [-2, 0], [-1, -1]], q:[[-1, -1], [1, 0]], qb:[[0, 1], [0, 0]], phi:[[0, 0]]]	2

Relevant Operators	Marginal Operators	$n_{marginal}$$-$$|F_{IR}|$	Superconformal Index	Refined index

Relevant Operators	Marginal Operators	$n_{marginal}$$-$$|F_{IR}|$	Superconformal Index	Refined index
${}M_{4}$, ${ }M_{3}$, ${ }M_{5}$, ${ }q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{2}$, ${ }M_{2}$, ${ }q_{2}\tilde{q}_{2}$, ${ }M_{1}$, ${ }\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }M_{4}^{2}$, ${ }M_{3}^{2}$, ${ }M_{3}M_{5}$, ${ }M_{3}M_{4}$, ${ }M_{5}^{2}$, ${ }\phi_{1}q_{1}^{2}$, ${ }M_{4}M_{5}$, ${ }M_{3}q_{2}\tilde{q}_{1}$, ${ }M_{4}q_{2}\tilde{q}_{1}$, ${ }M_{5}q_{2}\tilde{q}_{1}$, ${ }M_{3}q_{2}\tilde{q}_{1}$, ${ }M_{4}q_{2}\tilde{q}_{1}$, ${ }q_{2}^{2}\tilde{q}_{1}^{2}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{5}\phi_{1}^{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$, ${ }M_{2}M_{4}$, ${ }M_{1}M_{5}$, ${ }M_{4}q_{2}\tilde{q}_{2}$, ${ }M_{5}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{2}M_{3}$, ${ }M_{3}q_{2}\tilde{q}_{2}$, ${ }M_{1}M_{3}$, ${ }M_{2}M_{5}$, ${ }M_{5}q_{2}\tilde{q}_{2}$, ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{1}M_{4}$, ${ }M_{4}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{3}q_{1}\tilde{q}_{2}$, ${ }M_{5}q_{1}\tilde{q}_{2}$, ${ }M_{4}q_{1}\tilde{q}_{2}$, ${ }M_{2}q_{2}\tilde{q}_{1}$, ${ }q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{2}\tilde{q}_{1}^{2}\tilde{q}_{2}$	${}$	-4	3*t^2.047 + t^2.453 + t^3. + 4*t^3.476 + t^3.547 + 2*t^4.024 + 7*t^4.095 + 3*t^4.5 + t^4.905 + 3*t^5.047 + t^5.453 + 12*t^5.524 + 3*t^5.595 + 2*t^5.929 - 4*t^6. + 4*t^6.071 + 13*t^6.142 + 2*t^6.476 + 6*t^6.547 + 9*t^6.953 + 2*t^7.024 + 7*t^7.095 + t^7.358 - 4*t^7.429 + 3*t^7.5 + 26*t^7.571 + 7*t^7.642 + 2*t^7.976 - 13*t^8.047 + 8*t^8.119 + 22*t^8.19 + 2*t^8.381 - 4*t^8.453 + 4*t^8.524 + 10*t^8.595 - t^4.5/y - (3*t^6.547)/y + (2*t^7.024)/y + (3*t^7.095)/y + (3*t^7.5)/y - (2*t^7.976)/y + (3*t^8.047)/y + (4*t^8.453)/y + (12*t^8.524)/y - (3*t^8.595)/y + (4*t^8.929)/y - t^4.5*y - 3*t^6.547*y + 2*t^7.024*y + 3*t^7.095*y + 3*t^7.5*y - 2*t^7.976*y + 3*t^8.047*y + 4*t^8.453*y + 12*t^8.524*y - 3*t^8.595*y + 4*t^8.929*y	t^2.047/g1^2 + t^2.047/g2^2 + t^2.047/(g1*g2) + g1*g2*t^2.453 + t^3. + 2*g1*t^3.476 + 2*g2*t^3.476 + t^3.547/(g1*g2) + t^4.024/g1 + t^4.024/g2 + t^4.095/g1^4 + t^4.095/g2^4 + t^4.095/(g1*g2^3) + (3*t^4.095)/(g1^2*g2^2) + t^4.095/(g1^3*g2) + t^4.5 + (g1*t^4.5)/g2 + (g2*t^4.5)/g1 + g1^2*g2^2*t^4.905 + t^5.047/g1^2 + t^5.047/g2^2 + t^5.047/(g1*g2) + g1*g2*t^5.453 + (4*t^5.524)/g1 + (2*g1*t^5.524)/g2^2 + (4*t^5.524)/g2 + (2*g2*t^5.524)/g1^2 + t^5.595/(g1*g2^3) + t^5.595/(g1^2*g2^2) + t^5.595/(g1^3*g2) + g1^2*g2*t^5.929 + g1*g2^2*t^5.929 - 2*t^6. - (g1*t^6.)/g2 - (g2*t^6.)/g1 + t^6.071/g1^3 + t^6.071/g2^3 + t^6.071/(g1*g2^2) + t^6.071/(g1^2*g2) + t^6.142/g1^6 + t^6.142/g2^6 + t^6.142/(g1*g2^5) + (3*t^6.142)/(g1^2*g2^4) + (3*t^6.142)/(g1^3*g2^3) + (3*t^6.142)/(g1^4*g2^2) + t^6.142/(g1^5*g2) + g1*t^6.476 + g2*t^6.476 + t^6.547/g1^2 + (g1*t^6.547)/g2^3 + t^6.547/g2^2 + (2*t^6.547)/(g1*g2) + (g2*t^6.547)/g1^3 + 3*g1^2*t^6.953 + 3*g1*g2*t^6.953 + 3*g2^2*t^6.953 + t^7.024/g1 + t^7.024/g2 + t^7.095/g1^4 + t^7.095/g2^4 + t^7.095/(g1*g2^3) + (3*t^7.095)/(g1^2*g2^2) + t^7.095/(g1^3*g2) + g1^3*g2^3*t^7.358 - 2*g1^2*g2*t^7.429 - 2*g1*g2^2*t^7.429 + t^7.5 + (g1*t^7.5)/g2 + (g2*t^7.5)/g1 + (4*t^7.571)/g1^3 + (2*g1*t^7.571)/g2^4 + (4*t^7.571)/g2^3 + (7*t^7.571)/(g1*g2^2) + (7*t^7.571)/(g1^2*g2) + (2*g2*t^7.571)/g1^4 + t^7.642/(g1*g2^5) + t^7.642/(g1^2*g2^4) + (3*t^7.642)/(g1^3*g2^3) + t^7.642/(g1^4*g2^2) + t^7.642/(g1^5*g2) + (g1^2*t^7.976)/g2 + (g2^2*t^7.976)/g1 - (3*t^8.047)/g1^2 - (g1*t^8.047)/g2^3 - (3*t^8.047)/g2^2 - (5*t^8.047)/(g1*g2) - (g2*t^8.047)/g1^3 + t^8.119/g1^5 + t^8.119/g2^5 + t^8.119/(g1*g2^4) + (2*t^8.119)/(g1^2*g2^3) + (2*t^8.119)/(g1^3*g2^2) + t^8.119/(g1^4*g2) + t^8.19/g1^8 + t^8.19/g2^8 + t^8.19/(g1*g2^7) + (3*t^8.19)/(g1^2*g2^6) + (3*t^8.19)/(g1^3*g2^5) + (6*t^8.19)/(g1^4*g2^4) + (3*t^8.19)/(g1^5*g2^3) + (3*t^8.19)/(g1^6*g2^2) + t^8.19/(g1^7*g2) + g1^3*g2^2*t^8.381 + g1^2*g2^3*t^8.381 - g1^2*t^8.453 - 2*g1*g2*t^8.453 - g2^2*t^8.453 + t^8.524/g1 + (g1*t^8.524)/g2^2 + t^8.524/g2 + (g2*t^8.524)/g1^2 + t^8.595/g1^4 + (g1*t^8.595)/g2^5 + t^8.595/g2^4 + (2*t^8.595)/(g1*g2^3) + (2*t^8.595)/(g1^2*g2^2) + (2*t^8.595)/(g1^3*g2) + (g2*t^8.595)/g1^5 - t^4.5/y - t^6.547/(g1^2*y) - t^6.547/(g2^2*y) - t^6.547/(g1*g2*y) + t^7.024/(g1*y) + t^7.024/(g2*y) + t^7.095/(g1*g2^3*y) + t^7.095/(g1^2*g2^2*y) + t^7.095/(g1^3*g2*y) + t^7.5/y + (g1*t^7.5)/(g2*y) + (g2*t^7.5)/(g1*y) - (g1*t^7.976)/y - (g2*t^7.976)/y + t^8.047/(g1^2*y) + t^8.047/(g2^2*y) + t^8.047/(g1*g2*y) + (g1^2*t^8.453)/y + (2*g1*g2*t^8.453)/y + (g2^2*t^8.453)/y + (4*t^8.524)/(g1*y) + (2*g1*t^8.524)/(g2^2*y) + (4*t^8.524)/(g2*y) + (2*g2*t^8.524)/(g1^2*y) - t^8.595/(g1^4*y) - t^8.595/(g2^4*y) - t^8.595/(g1^2*g2^2*y) + (2*g1^2*g2*t^8.929)/y + (2*g1*g2^2*t^8.929)/y - t^4.5*y - (t^6.547*y)/g1^2 - (t^6.547*y)/g2^2 - (t^6.547*y)/(g1*g2) + (t^7.024*y)/g1 + (t^7.024*y)/g2 + (t^7.095*y)/(g1*g2^3) + (t^7.095*y)/(g1^2*g2^2) + (t^7.095*y)/(g1^3*g2) + t^7.5*y + (g1*t^7.5*y)/g2 + (g2*t^7.5*y)/g1 - g1*t^7.976*y - g2*t^7.976*y + (t^8.047*y)/g1^2 + (t^8.047*y)/g2^2 + (t^8.047*y)/(g1*g2) + g1^2*t^8.453*y + 2*g1*g2*t^8.453*y + g2^2*t^8.453*y + (4*t^8.524*y)/g1 + (2*g1*t^8.524*y)/g2^2 + (4*t^8.524*y)/g2 + (2*g2*t^8.524*y)/g1^2 - (t^8.595*y)/g1^4 - (t^8.595*y)/g2^4 - (t^8.595*y)/(g1^2*g2^2) + 2*g1^2*g2*t^8.929*y + 2*g1*g2^2*t^8.929*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
46801	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}^{4}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{4}\phi_{1}q_{2}^{2}$ + ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$	0.6571	0.8477	0.7752	[M:[1.1128, 1.1616, 0.7744, 0.6768, 0.7256], q:[0.4756, 0.4116], qb:[0.3628, 0.75], phi:[0.5]]	t^2.03 + t^2.177 + 2*t^2.323 + t^3. + 2*t^3.338 + 2*t^3.485 + t^3.677 + t^4.015 + t^4.061 + t^4.162 + t^4.207 + 4*t^4.354 + 2*t^4.5 + 3*t^4.646 + t^5.03 + t^5.177 + 2*t^5.323 + 2*t^5.369 + 4*t^5.515 + 5*t^5.662 + t^5.707 + 3*t^5.808 - t^6. - t^4.5/y - t^4.5*y	detail
46805	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}^{4}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{4}\phi_{1}q_{2}^{2}$ + ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$	0.6537	0.8412	0.7771	[M:[1.125, 1.125, 0.75, 0.75, 0.75], q:[0.5, 0.375], qb:[0.375, 0.75], phi:[0.5]]	4*t^2.25 + t^3. + 4*t^3.375 + t^3.75 + 2*t^4.125 + 11*t^4.5 + 4*t^5.25 + 14*t^5.625 - t^6. - t^4.5/y - t^4.5*y	detail	{a: 5355/8192, c: 6891/8192, M1: 9/8, M2: 9/8, M3: 3/4, M4: 3/4, M5: 3/4, q1: 1/2, q2: 3/8, qb1: 3/8, qb2: 3/4, phi1: 1/2}

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
46264	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}^{4}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{4}\phi_{1}q_{2}^{2}$	0.6426	0.8185	0.785	[M:[1.1576, 1.1576, 0.6848, 0.6848], q:[0.4348, 0.4076], qb:[0.4076, 0.75], phi:[0.5]]	2*t^2.054 + t^2.446 + t^3. + 4*t^3.473 + t^3.554 + t^3.946 + 2*t^4.027 + 4*t^4.109 + 2*t^4.5 + t^4.891 + 2*t^5.054 + t^5.446 + 8*t^5.527 + 2*t^5.609 + 2*t^5.919 - 2*t^6. - t^4.5/y - t^4.5*y	detail