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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
46412	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{3}M_{4}$ + ${ }M_{5}\tilde{q}_{1}\tilde{q}_{2}$	0.6786	0.8339	0.8138	[M:[0.9772, 0.9523, 1.1268, 0.8732, 0.7692], q:[0.5987, 0.4242], qb:[0.4491, 0.7817], phi:[0.4366]]	[M:[[1, -7], [-1, -11], [0, 4], [0, -4], [-1, -1]], q:[[0, 11], [-1, -4]], qb:[[1, 0], [0, 1]], phi:[[0, -2]]]	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
${}M_{5}$, ${ }M_{4}$, ${ }\phi_{1}^{2}$, ${ }M_{2}$, ${ }M_{1}$, ${ }q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{5}^{2}$, ${ }\phi_{1}q_{1}^{2}$, ${ }M_{4}M_{5}$, ${ }M_{5}\phi_{1}^{2}$, ${ }M_{2}M_{5}$, ${ }M_{4}^{2}$, ${ }M_{1}M_{5}$, ${ }M_{4}\phi_{1}^{2}$, ${ }\phi_{1}^{4}$, ${ }M_{2}M_{4}$, ${ }M_{2}\phi_{1}^{2}$, ${ }M_{1}M_{4}$, ${ }M_{1}\phi_{1}^{2}$, ${ }M_{2}^{2}$, ${ }M_{1}M_{2}$, ${ }M_{1}^{2}$	${}$	-3	t^2.308 + 2*t^2.62 + t^2.857 + t^2.932 + t^3.618 + t^3.855 + t^3.929 + t^4.004 + t^4.141 + t^4.378 + t^4.453 + t^4.615 + t^4.902 + 2*t^4.927 + t^5.165 + 4*t^5.239 + t^5.477 + t^5.551 + t^5.714 + t^5.788 + t^5.863 - 3*t^6. - t^6.075 + t^6.163 + 2*t^6.237 + 3*t^6.474 - t^6.523 + 2*t^6.549 + 2*t^6.624 + t^6.686 + t^6.712 + t^6.761 + t^6.786 + t^6.861 + t^6.923 + t^6.936 + t^6.998 + t^7.073 + t^7.209 + 2*t^7.235 - t^7.31 - t^7.385 + 2*t^7.472 + t^7.521 + 4*t^7.547 + t^7.71 + 2*t^7.784 - t^7.833 + 6*t^7.859 + t^7.934 + t^7.996 + t^8.008 + t^8.021 + 2*t^8.096 + 2*t^8.171 + t^8.233 - 3*t^8.308 + t^8.333 - t^8.382 + t^8.408 + t^8.457 + t^8.47 + t^8.483 + t^8.519 + t^8.571 - 6*t^8.62 + t^8.645 - 2*t^8.694 + t^8.72 + t^8.757 + 2*t^8.782 + t^8.795 - t^8.831 + t^8.906 - 3*t^8.932 + t^8.994 - t^4.31/y - t^6.618/y - t^6.929/y - t^7.167/y - t^7.241/y + t^7.378/y + t^7.453/y + t^7.69/y + (2*t^7.927)/y + t^8.002/y + t^8.165/y + (2*t^8.239)/y + (2*t^8.477)/y + (2*t^8.551)/y + t^8.788/y - t^4.31*y - t^6.618*y - t^6.929*y - t^7.167*y - t^7.241*y + t^7.378*y + t^7.453*y + t^7.69*y + 2*t^7.927*y + t^8.002*y + t^8.165*y + 2*t^8.239*y + 2*t^8.477*y + 2*t^8.551*y + t^8.788*y	t^2.308/(g1*g2) + (2*t^2.62)/g2^4 + t^2.857/(g1*g2^11) + (g1*t^2.932)/g2^7 + t^3.618/(g1*g2^3) + t^3.855/(g1^2*g2^10) + t^3.929/g2^6 + (g1^2*t^4.004)/g2^2 + g2^12*t^4.141 + (g2^5*t^4.378)/g1 + g1*g2^9*t^4.453 + t^4.615/(g1^2*g2^2) + g2^20*t^4.902 + (2*t^4.927)/(g1*g2^5) + t^5.165/(g1^2*g2^12) + (4*t^5.239)/g2^8 + t^5.477/(g1*g2^15) + (g1*t^5.551)/g2^11 + t^5.714/(g1^2*g2^22) + t^5.788/g2^18 + (g1^2*t^5.863)/g2^14 - 3*t^6. - g1^2*g2^4*t^6.075 + t^6.163/(g1^3*g2^11) + (2*t^6.237)/(g1*g2^7) + (3*t^6.474)/(g1^2*g2^14) - g1*g2^15*t^6.523 + (2*t^6.549)/g2^10 + (2*g1^2*t^6.624)/g2^6 + (g2^4*t^6.686)/g1^2 + t^6.712/(g1^3*g2^21) + g2^8*t^6.761 + t^6.786/(g1*g2^17) + (g1*t^6.861)/g2^13 + t^6.923/(g1^3*g2^3) + (g1^3*t^6.936)/g2^9 + (g2*t^6.998)/g1 + g1*g2^5*t^7.073 + (g2^19*t^7.209)/g1 + (2*t^7.235)/(g1^2*g2^6) - t^7.31/g2^2 - g1^2*g2^2*t^7.385 + (2*t^7.472)/(g1^3*g2^13) + g2^16*t^7.521 + (4*t^7.547)/(g1*g2^9) + t^7.71/(g1^4*g2^20) + (2*t^7.784)/(g1^2*g2^16) - g1*g2^13*t^7.833 + (6*t^7.859)/g2^12 + (g1^2*t^7.934)/g2^8 + (g2^2*t^7.996)/g1^2 + (g1^4*t^8.008)/g2^4 + t^8.021/(g1^3*g2^23) + (2*t^8.096)/(g1*g2^19) + (2*g1*t^8.171)/g2^15 + t^8.233/(g1^3*g2^5) - (3*t^8.308)/(g1*g2) + t^8.333/(g1^2*g2^26) - g1*g2^3*t^8.382 + t^8.408/g2^22 + g1^3*g2^7*t^8.457 + t^8.47/(g1^4*g2^12) + (g1^2*t^8.483)/g2^18 + (g2^17*t^8.519)/g1 + t^8.571/(g1^3*g2^33) - (6*t^8.62)/g2^4 + t^8.645/(g1*g2^29) - 2*g1^2*t^8.694 + (g1*t^8.72)/g2^25 + (g2^10*t^8.757)/g1^2 + (2*t^8.782)/(g1^3*g2^15) + (g1^3*t^8.795)/g2^21 - g2^14*t^8.831 + g1^2*g2^18*t^8.906 - (3*g1*t^8.932)/g2^7 + (g2^3*t^8.994)/g1^3 - t^4.31/(g2^2*y) - t^6.618/(g1*g2^3*y) - t^6.929/(g2^6*y) - t^7.167/(g1*g2^13*y) - (g1*t^7.241)/(g2^9*y) + (g2^5*t^7.378)/(g1*y) + (g1*g2^9*t^7.453)/y + (g2^2*t^7.69)/y + (2*t^7.927)/(g1*g2^5*y) + (g1*t^8.002)/(g2*y) + t^8.165/(g1^2*g2^12*y) + (2*t^8.239)/(g2^8*y) + (2*t^8.477)/(g1*g2^15*y) + (2*g1*t^8.551)/(g2^11*y) + t^8.788/(g2^18*y) - (t^4.31*y)/g2^2 - (t^6.618*y)/(g1*g2^3) - (t^6.929*y)/g2^6 - (t^7.167*y)/(g1*g2^13) - (g1*t^7.241*y)/g2^9 + (g2^5*t^7.378*y)/g1 + g1*g2^9*t^7.453*y + g2^2*t^7.69*y + (2*t^7.927*y)/(g1*g2^5) + (g1*t^8.002*y)/g2 + (t^8.165*y)/(g1^2*g2^12) + (2*t^8.239*y)/g2^8 + (2*t^8.477*y)/(g1*g2^15) + (2*g1*t^8.551*y)/g2^11 + (t^8.788*y)/g2^18

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
46846	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{3}M_{4}$ + ${ }M_{5}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$	0.6643	0.8125	0.8176	[M:[1.0269, 1.086, 1.086, 0.914, 0.8011], q:[0.4866, 0.4866], qb:[0.4274, 0.7715], phi:[0.457]]	t^2.403 + 2*t^2.742 + t^3.081 + t^3.258 + 2*t^3.774 + t^3.935 + 2*t^4.113 + 3*t^4.29 + t^4.806 + 2*t^5.145 + 4*t^5.484 + t^5.661 - 3*t^6. - t^4.371/y - t^4.371*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
46342	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{3}M_{4}$	0.6607	0.8017	0.8242	[M:[0.9624, 0.9624, 1.1278, 0.8722], q:[0.6015, 0.4361], qb:[0.4361, 0.782], phi:[0.4361]]	2*t^2.617 + 2*t^2.887 + 2*t^3.654 + 3*t^3.925 + t^4.15 + 2*t^4.421 + t^4.917 + 3*t^5.233 + 2*t^5.504 + 3*t^5.774 - 5*t^6. - t^4.308/y - t^4.308*y	detail