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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
235	SU2adj1nf2	${}\phi_{1}q_{1}^{2}$ + ${ }\phi_{1}q_{2}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{4}\phi_{1}\tilde{q}_{1}^{2}$	0.6484	0.7955	0.8151	[M:[1.2971, 0.7005, 0.7076, 0.6981], q:[0.8243, 0.8243], qb:[0.4752, 0.4705], phi:[0.3514]]	[M:[[4, 4], [-7, -1], [2, -10], [-10, 2]], q:[[1, 1], [1, 1]], qb:[[6, 0], [0, 6]], phi:[[-2, -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
${}M_{4}$, ${ }M_{2}$, ${ }M_{3}$, ${ }\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }q_{2}\tilde{q}_{2}$, ${ }M_{1}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{2}\tilde{q}_{1}$, ${ }M_{4}^{2}$, ${ }M_{2}M_{4}$, ${ }M_{2}^{2}$, ${ }M_{3}M_{4}$, ${ }M_{2}M_{3}$, ${ }M_{3}^{2}$, ${ }M_{4}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{1}q_{2}$, ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\tilde{q}_{1}^{2}\tilde{q}_{2}^{2}$, ${ }M_{4}q_{1}\tilde{q}_{2}$, ${ }M_{4}q_{2}\tilde{q}_{2}$, ${ }M_{1}M_{4}$, ${ }M_{2}q_{2}\tilde{q}_{2}$, ${ }M_{4}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{1}M_{2}$, ${ }M_{4}q_{2}\tilde{q}_{1}$, ${ }M_{2}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$	${}M_{2}q_{2}\tilde{q}_{1}$	-2	t^2.094 + t^2.101 + t^2.123 + t^2.837 + 2*t^3.884 + 2*t^3.891 + t^3.899 + t^4.189 + t^4.196 + t^4.203 + t^4.217 + t^4.224 + t^4.246 + t^4.931 + t^4.939 + t^4.946 + t^4.96 + t^5.674 + 2*t^5.979 + 3*t^5.986 + t^5.993 - 2*t^6. + t^6.014 + t^6.021 + t^6.283 + t^6.29 + t^6.297 + t^6.304 + t^6.311 + t^6.319 + t^6.326 + t^6.34 + t^6.347 + t^6.369 + 2*t^6.721 + 2*t^6.728 + t^6.736 + t^7.026 + t^7.033 + t^7.04 - t^7.047 - t^7.054 - t^7.061 + t^7.083 + 3*t^7.768 + 3*t^7.776 + 3*t^7.783 + t^7.797 + 2*t^8.073 + 3*t^8.08 + 2*t^8.087 - 2*t^8.094 - 2*t^8.101 + t^8.109 - 2*t^8.123 + t^8.137 + t^8.144 + t^8.377 + t^8.384 + t^8.391 + t^8.399 + 2*t^8.406 + t^8.413 + t^8.42 + t^8.427 + t^8.434 + t^8.442 + t^8.449 + t^8.463 + t^8.47 + t^8.492 + t^8.511 + 2*t^8.816 + 2*t^8.823 + t^8.83 - 2*t^8.837 - t^8.844 + t^8.859 - t^4.054/y - t^6.149/y - t^6.156/y - t^6.177/y + t^7.196/y + t^7.217/y + t^7.224/y + (2*t^7.931)/y + t^7.939/y + t^7.953/y + (2*t^7.96)/y - t^8.243/y - t^8.25/y - t^8.257/y - t^8.272/y - t^8.279/y - t^8.3/y + (2*t^8.979)/y + (4*t^8.986)/y + (3*t^8.993)/y - t^4.054*y - t^6.149*y - t^6.156*y - t^6.177*y + t^7.196*y + t^7.217*y + t^7.224*y + 2*t^7.931*y + t^7.939*y + t^7.953*y + 2*t^7.96*y - t^8.243*y - t^8.25*y - t^8.257*y - t^8.272*y - t^8.279*y - t^8.3*y + 2*t^8.979*y + 4*t^8.986*y + 3*t^8.993*y	(g2^2*t^2.094)/g1^10 + t^2.101/(g1^7*g2) + (g1^2*t^2.123)/g2^10 + g1^6*g2^6*t^2.837 + 2*g1*g2^7*t^3.884 + 2*g1^4*g2^4*t^3.891 + g1^7*g2*t^3.899 + (g2^4*t^4.189)/g1^20 + (g2*t^4.196)/g1^17 + t^4.203/(g1^14*g2^2) + t^4.217/(g1^8*g2^8) + t^4.224/(g1^5*g2^11) + (g1^4*t^4.246)/g2^20 + (g2^8*t^4.931)/g1^4 + (g2^5*t^4.939)/g1 + g1^2*g2^2*t^4.946 + (g1^8*t^4.96)/g2^4 + g1^12*g2^12*t^5.674 + (2*g2^9*t^5.979)/g1^9 + (3*g2^6*t^5.986)/g1^6 + (g2^3*t^5.993)/g1^3 - 2*t^6. + (g1^6*t^6.014)/g2^6 + (g1^9*t^6.021)/g2^9 + (g2^6*t^6.283)/g1^30 + (g2^3*t^6.29)/g1^27 + t^6.297/g1^24 + t^6.304/(g1^21*g2^3) + t^6.311/(g1^18*g2^6) + t^6.319/(g1^15*g2^9) + t^6.326/(g1^12*g2^12) + t^6.34/(g1^6*g2^18) + t^6.347/(g1^3*g2^21) + (g1^6*t^6.369)/g2^30 + 2*g1^7*g2^13*t^6.721 + 2*g1^10*g2^10*t^6.728 + g1^13*g2^7*t^6.736 + (g2^10*t^7.026)/g1^14 + (g2^7*t^7.033)/g1^11 + (g2^4*t^7.04)/g1^8 - (g2*t^7.047)/g1^5 - t^7.054/(g1^2*g2^2) - (g1*t^7.061)/g2^5 + (g1^10*t^7.083)/g2^14 + 3*g1^2*g2^14*t^7.768 + 3*g1^5*g2^11*t^7.776 + 3*g1^8*g2^8*t^7.783 + g1^14*g2^2*t^7.797 + (2*g2^11*t^8.073)/g1^19 + (3*g2^8*t^8.08)/g1^16 + (2*g2^5*t^8.087)/g1^13 - (2*g2^2*t^8.094)/g1^10 - (2*t^8.101)/(g1^7*g2) + t^8.109/(g1^4*g2^4) - (2*g1^2*t^8.123)/g2^10 + (g1^8*t^8.137)/g2^16 + (g1^11*t^8.144)/g2^19 + (g2^8*t^8.377)/g1^40 + (g2^5*t^8.384)/g1^37 + (g2^2*t^8.391)/g1^34 + t^8.399/(g1^31*g2) + (2*t^8.406)/(g1^28*g2^4) + t^8.413/(g1^25*g2^7) + t^8.42/(g1^22*g2^10) + t^8.427/(g1^19*g2^13) + t^8.434/(g1^16*g2^16) + t^8.442/(g1^13*g2^19) + t^8.449/(g1^10*g2^22) + t^8.463/(g1^4*g2^28) + t^8.47/(g1*g2^31) + (g1^8*t^8.492)/g2^40 + g1^18*g2^18*t^8.511 + (2*g2^15*t^8.816)/g1^3 + 2*g2^12*t^8.823 + g1^3*g2^9*t^8.83 - 2*g1^6*g2^6*t^8.837 - g1^9*g2^3*t^8.844 + (g1^15*t^8.859)/g2^3 - t^4.054/(g1^2*g2^2*y) - t^6.149/(g1^12*y) - t^6.156/(g1^9*g2^3*y) - t^6.177/(g2^12*y) + (g2*t^7.196)/(g1^17*y) + t^7.217/(g1^8*g2^8*y) + t^7.224/(g1^5*g2^11*y) + (2*g2^8*t^7.931)/(g1^4*y) + (g2^5*t^7.939)/(g1*y) + (g1^5*t^7.953)/(g2*y) + (2*g1^8*t^7.96)/(g2^4*y) - (g2^2*t^8.243)/(g1^22*y) - t^8.25/(g1^19*g2*y) - t^8.257/(g1^16*g2^4*y) - t^8.272/(g1^10*g2^10*y) - t^8.279/(g1^7*g2^13*y) - (g1^2*t^8.3)/(g2^22*y) + (2*g2^9*t^8.979)/(g1^9*y) + (4*g2^6*t^8.986)/(g1^6*y) + (3*g2^3*t^8.993)/(g1^3*y) - (t^4.054*y)/(g1^2*g2^2) - (t^6.149*y)/g1^12 - (t^6.156*y)/(g1^9*g2^3) - (t^6.177*y)/g2^12 + (g2*t^7.196*y)/g1^17 + (t^7.217*y)/(g1^8*g2^8) + (t^7.224*y)/(g1^5*g2^11) + (2*g2^8*t^7.931*y)/g1^4 + (g2^5*t^7.939*y)/g1 + (g1^5*t^7.953*y)/g2 + (2*g1^8*t^7.96*y)/g2^4 - (g2^2*t^8.243*y)/g1^22 - (t^8.25*y)/(g1^19*g2) - (t^8.257*y)/(g1^16*g2^4) - (t^8.272*y)/(g1^10*g2^10) - (t^8.279*y)/(g1^7*g2^13) - (g1^2*t^8.3*y)/g2^22 + (2*g2^9*t^8.979*y)/g1^9 + (4*g2^6*t^8.986*y)/g1^6 + (3*g2^3*t^8.993*y)/g1^3

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
378	${}\phi_{1}q_{1}^{2}$ + ${ }\phi_{1}q_{2}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{4}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{3}M_{5}$	0.6283	0.7599	0.8268	[M:[1.2867, 0.7014, 0.7373, 0.6894, 1.2627], q:[0.8217, 0.8217], qb:[0.477, 0.453], phi:[0.3567]]	t^2.068 + t^2.104 + t^2.79 + t^3.788 + 2*t^3.824 + 2*t^3.86 + t^3.896 + t^4.136 + t^4.172 + t^4.208 + t^4.858 + t^4.894 + t^4.93 + t^5.58 + t^5.856 + 3*t^5.892 + 3*t^5.928 + t^5.964 - 2*t^6. - t^4.07/y - t^4.07*y	detail
1753	${}\phi_{1}q_{1}^{2}$ + ${ }\phi_{1}q_{2}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{4}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$	0.6689	0.8351	0.801	[M:[1.3008, 0.6951, 0.7072, 0.6911, 0.6951], q:[0.8252, 0.8252], qb:[0.4797, 0.4716], phi:[0.3496]]	t^2.073 + 2*t^2.085 + t^2.122 + t^2.854 + 2*t^3.89 + 2*t^3.902 + t^4.147 + 2*t^4.159 + 3*t^4.171 + t^4.195 + 2*t^4.207 + t^4.243 + t^4.927 + 2*t^4.939 + t^4.951 + t^4.975 + t^5.707 + 2*t^5.964 + 5*t^5.976 + 2*t^5.988 - 3*t^6. - t^4.049/y - t^4.049*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
143	SU2adj1nf2	${}\phi_{1}q_{1}^{2}$ + ${ }\phi_{1}q_{2}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}\phi_{1}\tilde{q}_{2}^{2}$	0.628	0.7571	0.8294	[M:[1.2913, 0.7124, 0.7014], q:[0.8228, 0.8228], qb:[0.4648, 0.4721], phi:[0.3544]]	t^2.104 + t^2.137 + t^2.811 + t^3.852 + t^3.863 + 2*t^3.874 + 2*t^3.885 + t^4.208 + t^4.241 + t^4.274 + t^4.915 + t^4.937 + t^4.948 + t^5.622 + t^5.956 + t^5.967 + t^5.978 + t^5.989 - 2*t^6. - t^4.063/y - t^4.063*y	detail