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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
3658	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{2}M_{3}$ + ${ }\phi_{1}q_{1}q_{2}$ + ${ }M_{1}X_{1}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ + ${ }M_{6}\phi_{1}\tilde{q}_{1}^{2}$	0.6511	0.823	0.7911	[X:[1.6], M:[0.4, 1.2, 0.8, 0.7249, 0.7625, 0.7625], q:[0.8563, 0.7437], qb:[0.4188, 0.3812], phi:[0.4]]	[X:[[0, 0]], M:[[0, 0], [0, 0], [0, 0], [1, 1], [1, -1], [0, 2]], q:[[-1, 0], [1, 0]], qb:[[0, -1], [0, 1]], 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
${}M_{4}$, ${ }M_{5}$, ${ }M_{6}$, ${ }M_{3}$, ${ }\phi_{1}^{2}$, ${ }q_{2}\tilde{q}_{2}$, ${ }q_{2}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{4}^{2}$, ${ }M_{4}M_{5}$, ${ }M_{4}M_{6}$, ${ }M_{5}^{2}$, ${ }M_{3}M_{4}$, ${ }M_{5}M_{6}$, ${ }M_{4}\phi_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{6}^{2}$, ${ }M_{3}M_{5}$, ${ }M_{5}\phi_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{3}M_{6}$, ${ }M_{6}\phi_{1}^{2}$, ${ }M_{3}^{2}$, ${ }M_{3}\phi_{1}^{2}$, ${ }\phi_{1}^{4}$, ${ }X_{1}$, ${ }M_{4}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }M_{4}q_{2}\tilde{q}_{1}$, ${ }M_{5}q_{2}\tilde{q}_{2}$, ${ }M_{6}q_{2}\tilde{q}_{2}$, ${ }M_{4}\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{5}q_{2}\tilde{q}_{1}$, ${ }M_{6}q_{2}\tilde{q}_{1}$, ${ }M_{3}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$, ${ }M_{4}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{5}\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{6}\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{3}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$, ${ }M_{5}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{6}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{3}\phi_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}^{3}\tilde{q}_{2}^{2}$	${}M_{3}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{3}\tilde{q}_{1}\tilde{q}_{2}$	-1	t^2.175 + 2*t^2.287 + 2*t^2.4 + t^3.375 + 2*t^3.487 + t^3.6 + t^4.349 + 2*t^4.462 + 5*t^4.575 + 4*t^4.687 + 4*t^4.8 + t^5.549 + 4*t^5.662 + 6*t^5.775 + 4*t^5.887 - t^6. - 2*t^6.113 - t^6.225 + t^6.524 + 2*t^6.637 + 6*t^6.749 + 10*t^6.862 + 12*t^6.975 + 6*t^7.087 + 2*t^7.2 - 4*t^7.313 - 2*t^7.425 + t^7.724 + 4*t^7.837 + 9*t^7.949 + 12*t^8.062 + 7*t^8.175 - 2*t^8.287 - 8*t^8.4 - 8*t^8.513 - 3*t^8.625 + t^8.699 + 2*t^8.811 + 6*t^8.924 - t^4.2/y - t^6.375/y - (2*t^6.487)/y - t^6.6/y + (2*t^7.462)/y + (3*t^7.575)/y + (4*t^7.687)/y + (2*t^7.8)/y + (2*t^7.913)/y + t^8.025/y + (2*t^8.662)/y + (3*t^8.775)/y + (4*t^8.887)/y - t^4.2*y - t^6.375*y - 2*t^6.487*y - t^6.6*y + 2*t^7.462*y + 3*t^7.575*y + 4*t^7.687*y + 2*t^7.8*y + 2*t^7.913*y + t^8.025*y + 2*t^8.662*y + 3*t^8.775*y + 4*t^8.887*y	g1*g2*t^2.175 + (g1*t^2.287)/g2 + g2^2*t^2.287 + 2*t^2.4 + g1*g2*t^3.375 + (g1*t^3.487)/g2 + g2^2*t^3.487 + t^3.6 + g1^2*g2^2*t^4.349 + g1^2*t^4.462 + g1*g2^3*t^4.462 + (g1^2*t^4.575)/g2^2 + 3*g1*g2*t^4.575 + g2^4*t^4.575 + (2*g1*t^4.687)/g2 + 2*g2^2*t^4.687 + 4*t^4.8 + g1^2*g2^2*t^5.549 + 2*g1^2*t^5.662 + 2*g1*g2^3*t^5.662 + (g1^2*t^5.775)/g2^2 + 4*g1*g2*t^5.775 + g2^4*t^5.775 + (2*g1*t^5.887)/g2 + 2*g2^2*t^5.887 - t^6. - t^6.113/g2^2 - (g2*t^6.113)/g1 - t^6.225/(g1*g2) + g1^3*g2^3*t^6.524 + g1^3*g2*t^6.637 + g1^2*g2^4*t^6.637 + (g1^3*t^6.749)/g2 + 4*g1^2*g2^2*t^6.749 + g1*g2^5*t^6.749 + 4*g1^2*t^6.862 + (g1^3*t^6.862)/g2^3 + 4*g1*g2^3*t^6.862 + g2^6*t^6.862 + (3*g1^2*t^6.975)/g2^2 + 6*g1*g2*t^6.975 + 3*g2^4*t^6.975 + (3*g1*t^7.087)/g2 + 3*g2^2*t^7.087 + 2*t^7.2 - (2*t^7.313)/g2^2 - (2*g2*t^7.313)/g1 - (2*t^7.425)/(g1*g2) + g1^3*g2^3*t^7.724 + 2*g1^3*g2*t^7.837 + 2*g1^2*g2^4*t^7.837 + (2*g1^3*t^7.949)/g2 + 5*g1^2*g2^2*t^7.949 + 2*g1*g2^5*t^7.949 + 5*g1^2*t^8.062 + (g1^3*t^8.062)/g2^3 + 5*g1*g2^3*t^8.062 + g2^6*t^8.062 + (2*g1^2*t^8.175)/g2^2 + 3*g1*g2*t^8.175 + 2*g2^4*t^8.175 - (g1*t^8.287)/g2 - g2^2*t^8.287 - 6*t^8.4 - (g1*t^8.4)/g2^3 - (g2^3*t^8.4)/g1 - (4*t^8.513)/g2^2 - (4*g2*t^8.513)/g1 - (3*t^8.625)/(g1*g2) + g1^4*g2^4*t^8.699 + g1^4*g2^2*t^8.811 + g1^3*g2^5*t^8.811 + g1^4*t^8.924 + 4*g1^3*g2^3*t^8.924 + g1^2*g2^6*t^8.924 - t^4.2/y - (g1*g2*t^6.375)/y - (g1*t^6.487)/(g2*y) - (g2^2*t^6.487)/y - t^6.6/y + (g1^2*t^7.462)/y + (g1*g2^3*t^7.462)/y + (3*g1*g2*t^7.575)/y + (2*g1*t^7.687)/(g2*y) + (2*g2^2*t^7.687)/y + (2*t^7.8)/y + t^7.913/(g2^2*y) + (g2*t^7.913)/(g1*y) + t^8.025/(g1*g2*y) + (g1^2*t^8.662)/y + (g1*g2^3*t^8.662)/y + (3*g1*g2*t^8.775)/y + (2*g1*t^8.887)/(g2*y) + (2*g2^2*t^8.887)/y - t^4.2*y - g1*g2*t^6.375*y - (g1*t^6.487*y)/g2 - g2^2*t^6.487*y - t^6.6*y + g1^2*t^7.462*y + g1*g2^3*t^7.462*y + 3*g1*g2*t^7.575*y + (2*g1*t^7.687*y)/g2 + 2*g2^2*t^7.687*y + 2*t^7.8*y + (t^7.913*y)/g2^2 + (g2*t^7.913*y)/g1 + (t^8.025*y)/(g1*g2) + g1^2*t^8.662*y + g1*g2^3*t^8.662*y + 3*g1*g2*t^8.775*y + (2*g1*t^8.887*y)/g2 + 2*g2^2*t^8.887*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
3931	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{2}M_{3}$ + ${ }\phi_{1}q_{1}q_{2}$ + ${ }M_{1}X_{1}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ + ${ }M_{6}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{7}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$	0.6676	0.852	0.7836	[X:[1.6], M:[0.4, 1.2, 0.8, 0.7249, 0.7625, 0.7625, 0.8], q:[0.8563, 0.7437], qb:[0.4188, 0.3812], phi:[0.4]]	t^2.175 + 2*t^2.287 + 3*t^2.4 + t^3.375 + 2*t^3.487 + t^4.349 + 2*t^4.462 + 6*t^4.575 + 6*t^4.687 + 7*t^4.8 + t^5.549 + 4*t^5.662 + 6*t^5.775 + 4*t^5.887 - 3*t^6. - t^4.2/y - t^4.2*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
3237	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{2}M_{3}$ + ${ }\phi_{1}q_{1}q_{2}$ + ${ }M_{1}X_{1}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$	0.6334	0.7905	0.8013	[X:[1.6], M:[0.4, 1.2, 0.8, 0.7434, 0.7434], q:[0.8566, 0.7434], qb:[0.4, 0.4], phi:[0.4]]	2*t^2.23 + 2*t^2.4 + 2*t^3.43 + 3*t^3.6 + 3*t^4.46 + 4*t^4.63 + 4*t^4.8 + 4*t^5.66 + 8*t^5.83 + t^6. - t^4.2/y - t^4.2*y	detail