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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(3): 1 Adj + 1 fund + 1 anti-fund SU(3): 1 Adj + 2 fund + 2 anti-fund (not completed) SU(4): 1 rank-2 symm + 1 rank-2 anti-symm + conj. 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(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(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(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 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
72	SU2adj1nf2	${}\phi_{1}^{4}$ + ${ }M_{1}q_{1}q_{2}$ + ${ }q_{1}\tilde{q}_{1}^{2}\tilde{q}_{2}$	0.6927	0.8507	0.8143	[M:[0.9724], q:[0.528, 0.4996], qb:[0.4996, 0.4728], phi:[0.5]]	[M:[[1, 1]], q:[[-2, -1], [1, 0]], qb:[[1, 0], [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
${}M_{1}$, ${ }q_{2}\tilde{q}_{2}$, ${ }\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }q_{1}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}^{2}$, ${ }M_{1}^{2}$, ${ }M_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{2}^{2}\tilde{q}_{2}^{2}$, ${ }q_{2}\tilde{q}_{1}\tilde{q}_{2}^{2}$, ${ }\tilde{q}_{1}^{2}\tilde{q}_{2}^{2}$, ${ }q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{2}\tilde{q}_{1}^{2}\tilde{q}_{2}$, ${ }M_{1}\phi_{1}^{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{1}q_{2}\tilde{q}_{2}^{2}$, ${ }q_{2}^{2}\tilde{q}_{1}^{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$	${}$	-2	3*t^2.917 + t^2.998 + t^3. + t^3.002 + t^3.083 + t^4.337 + 2*t^4.417 + 3*t^4.498 + t^4.502 + 2*t^4.583 + t^4.668 + 5*t^5.834 + t^5.915 + 3*t^5.917 + t^5.919 + t^5.995 + t^5.998 - 2*t^6. + t^6.002 + t^6.005 - t^6.081 + t^6.083 - t^6.085 + 3*t^7.254 + 5*t^7.334 + t^7.339 + 7*t^7.415 + 2*t^7.419 + 3*t^7.495 + 2*t^7.5 + t^7.505 + t^7.581 + 2*t^7.585 + t^7.666 + t^7.67 + t^7.751 + t^8.673 + 7*t^8.752 + 2*t^8.754 + t^8.832 + 8*t^8.834 - t^8.837 + t^8.839 + t^8.913 + 5*t^8.915 - 10*t^8.917 + 3*t^8.919 + t^8.922 + t^8.993 + 6*t^8.995 - 8*t^8.998 - t^4.5/y - t^7.417/y + t^7.583/y + (3*t^8.834)/y + (3*t^8.915)/y + (3*t^8.917)/y + (3*t^8.919)/y + t^8.998/y - t^4.5*y - t^7.417*y + t^7.583*y + 3*t^8.834*y + 3*t^8.915*y + 3*t^8.917*y + 3*t^8.919*y + t^8.998*y	3*g1*g2*t^2.917 + g1^2*t^2.998 + t^3. + t^3.002/g1^2 + t^3.083/(g1*g2) + g2^2*t^4.337 + 2*g1*g2*t^4.417 + 3*g1^2*t^4.498 + t^4.502/g1^2 + (2*t^4.583)/(g1*g2) + t^4.668/(g1^4*g2^2) + 5*g1^2*g2^2*t^5.834 + g1^3*g2*t^5.915 + 3*g1*g2*t^5.917 + (g2*t^5.919)/g1 + g1^4*t^5.995 + g1^2*t^5.998 - 2*t^6. + t^6.002/g1^2 + t^6.005/g1^4 - (g1*t^6.081)/g2 + t^6.083/(g1*g2) - t^6.085/(g1^3*g2) + 3*g1*g2^3*t^7.254 + 5*g1^2*g2^2*t^7.334 + (g2^2*t^7.339)/g1^2 + 7*g1^3*g2*t^7.415 + (2*g2*t^7.419)/g1 + 3*g1^4*t^7.495 + 2*t^7.5 + t^7.505/g1^4 + (g1*t^7.581)/g2 + (2*t^7.585)/(g1^3*g2) + t^7.666/(g1^2*g2^2) + t^7.67/(g1^6*g2^2) + t^7.751/(g1^5*g2^3) + g2^4*t^8.673 + 7*g1^3*g2^3*t^8.752 + 2*g1*g2^3*t^8.754 + g1^4*g2^2*t^8.832 + 8*g1^2*g2^2*t^8.834 - g2^2*t^8.837 + (g2^2*t^8.839)/g1^2 + g1^5*g2*t^8.913 + 5*g1^3*g2*t^8.915 - 10*g1*g2*t^8.917 + (3*g2*t^8.919)/g1 + (g2*t^8.922)/g1^3 + g1^6*t^8.993 + 6*g1^4*t^8.995 - 8*g1^2*t^8.998 - t^4.5/y - (g1*g2*t^7.417)/y + t^7.583/(g1*g2*y) + (3*g1^2*g2^2*t^8.834)/y + (3*g1^3*g2*t^8.915)/y + (3*g1*g2*t^8.917)/y + (3*g2*t^8.919)/(g1*y) + (g1^2*t^8.998)/y - t^4.5*y - g1*g2*t^7.417*y + (t^7.583*y)/(g1*g2) + 3*g1^2*g2^2*t^8.834*y + 3*g1^3*g2*t^8.915*y + 3*g1*g2*t^8.917*y + (3*g2*t^8.919*y)/g1 + g1^2*t^8.998*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
1707	${}\phi_{1}^{4}$ + ${ }M_{1}q_{1}q_{2}$ + ${ }q_{1}\tilde{q}_{1}^{2}\tilde{q}_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$	0.6965	0.8596	0.8103	[M:[0.9458, 0.9458], q:[0.5557, 0.4985], qb:[0.4985, 0.4472], phi:[0.5]]	4*t^2.837 + t^2.991 + t^3. + t^3.009 + t^4.183 + 2*t^4.337 + 3*t^4.491 + t^4.509 + 2*t^4.663 + t^4.834 + 9*t^5.675 + 2*t^5.828 + 4*t^5.837 + 2*t^5.846 + t^5.982 + t^5.991 - 5*t^6. - t^4.5/y - t^4.5*y	detail
1706	${}\phi_{1}^{4}$ + ${ }M_{1}q_{1}q_{2}$ + ${ }q_{1}\tilde{q}_{1}^{2}\tilde{q}_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{2}$	0.6953	0.8568	0.8115	[M:[0.9708, 0.9451], q:[0.5566, 0.4726], qb:[0.4726, 0.4983], phi:[0.5]]	2*t^2.835 + 3*t^2.913 + t^3. + t^3.087 + 3*t^4.335 + 2*t^4.413 + t^4.49 + 2*t^4.587 + t^4.665 + t^4.84 + 3*t^5.671 + 4*t^5.748 + 5*t^5.825 + 2*t^5.835 + 3*t^5.913 - 3*t^6. - t^4.5/y - t^4.5*y	detail
1705	${}\phi_{1}^{4}$ + ${ }M_{1}q_{1}q_{2}$ + ${ }q_{1}\tilde{q}_{1}^{2}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$	0.6434	0.8105	0.7939	[M:[0.8275], q:[0.75, 0.4225], qb:[0.4225, 0.4051], phi:[0.5]]	3*t^2.483 + t^2.535 + t^3. + t^3.465 + t^3.517 + t^3.931 + 2*t^3.983 + 3*t^4.035 + 6*t^4.965 + 3*t^5.017 + t^5.069 + 3*t^5.483 + t^5.535 + t^5.948 - t^6. - t^4.5/y - t^4.5*y	detail
105	${}\phi_{1}^{4}$ + ${ }M_{1}q_{1}q_{2}$ + ${ }q_{1}\tilde{q}_{1}^{2}\tilde{q}_{2}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$	0.6148	0.761	0.8079	[M:[1.1605], q:[0.4289, 0.4105], qb:[0.4105, 0.75], phi:[0.5]]	t^2.463 + t^2.518 + t^3. + 3*t^3.482 + t^3.537 + 3*t^3.963 + 2*t^4.018 + t^4.074 + t^4.926 + t^4.982 + t^5.037 + t^5.463 + t^5.518 + t^5.945 - t^6. - t^4.5/y - t^4.5*y	detail
108	${}\phi_{1}^{4}$ + ${ }M_{1}q_{1}q_{2}$ + ${ }q_{1}\tilde{q}_{1}^{2}\tilde{q}_{2}$ + ${ }q_{2}\tilde{q}_{1}\tilde{q}_{2}^{2}$	0.6914	0.8477	0.8157	[M:[1.0], q:[0.5, 0.5], qb:[0.5, 0.5], phi:[0.5]]	7*t^3. + 10*t^4.5 + 11*t^6. - t^4.5/y - t^4.5*y	detail	{a: 177/256, c: 217/256, M1: 1, q1: 1/2, q2: 1/2, qb1: 1/2, qb2: 1/2, phi1: 1/2}
109	${}\phi_{1}^{4}$ + ${ }M_{1}q_{1}q_{2}$ + ${ }q_{1}\tilde{q}_{1}^{2}\tilde{q}_{2}$ + ${ }q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$	0.6923	0.8496	0.8148	[M:[0.9819], q:[0.5091, 0.5091], qb:[0.5091, 0.4728], phi:[0.5]]	4*t^2.946 + t^3. + 2*t^3.054 + t^4.337 + 3*t^4.446 + 6*t^4.554 + 7*t^5.891 + 4*t^5.946 - 2*t^6. - t^4.5/y - t^4.5*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
47	SU2adj1nf2	${}\phi_{1}^{4}$ + ${ }M_{1}q_{1}q_{2}$	0.694	0.8536	0.813	[M:[0.9459], q:[0.527, 0.527], qb:[0.473, 0.473], phi:[0.5]]	2*t^2.838 + 5*t^3. + 3*t^4.338 + 4*t^4.5 + 3*t^4.662 + 3*t^5.675 + 6*t^5.838 + 6*t^6. - t^4.5/y - t^4.5*y	detail