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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
180	SU2adj1nf2	${}\phi_{1}q_{1}q_{2}$ + ${ }M_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{4}q_{2}\tilde{q}_{1}$	0.6484	0.7953	0.8152	[M:[0.7026, 1.2974, 0.7026, 0.7026], q:[0.8244, 0.8244], qb:[0.4731, 0.4731], phi:[0.3513]]	[M:[[1, -4, -1], [0, 2, 2], [0, 1, -5], [-1, -3, 0]], q:[[-1, 1, 1], [1, 0, 0]], qb:[[0, 3, 0], [0, 0, 3]], phi:[[0, -1, -1]]]	3

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

Relevant Operators	Marginal Operators	$n_{marginal}$$-$$|F_{IR}|$	Superconformal Index	Refined index
${}M_{4}$, ${ }M_{3}$, ${ }M_{1}$, ${ }\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{2}\tilde{q}_{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }M_{4}^{2}$, ${ }M_{3}^{2}$, ${ }M_{1}M_{3}$, ${ }M_{3}M_{4}$, ${ }M_{1}^{2}$, ${ }M_{1}M_{4}$, ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{1}q_{2}$, ${ }M_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{4}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\tilde{q}_{1}^{2}\tilde{q}_{2}^{2}$	${}M_{1}M_{2}$, ${ }M_{2}M_{3}$, ${ }M_{2}M_{4}$, ${ }M_{1}\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{3}\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{4}\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{3}q_{1}\tilde{q}_{2}$, ${ }M_{4}q_{1}\tilde{q}_{2}$, ${ }M_{1}q_{2}\tilde{q}_{2}$, ${ }M_{3}q_{2}\tilde{q}_{2}$, ${ }M_{4}q_{2}\tilde{q}_{2}$, ${ }M_{1}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{4}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$	6	3*t^2.108 + t^2.839 + 5*t^3.892 + 6*t^4.215 + 4*t^4.946 + t^5.677 + 6*t^6. + 10*t^6.323 + 5*t^6.731 + t^7.054 + 10*t^7.785 + 4*t^8.108 + 15*t^8.431 + t^8.516 + 3*t^8.839 - t^4.054/y - (3*t^6.161)/y + (3*t^7.215)/y + (6*t^7.946)/y - (6*t^8.269)/y - t^4.054*y - 3*t^6.161*y + 3*t^7.215*y + 6*t^7.946*y - 6*t^8.269*y	t^2.108/(g1*g2^3) + (g2*t^2.108)/g3^5 + (g1*t^2.108)/(g2^4*g3) + g2^3*g3^3*t^2.839 + (g2^5*t^3.892)/g3 + 2*g2^2*g3^2*t^3.892 + g1*g3^3*t^3.892 + (g2*g3^4*t^3.892)/g1 + t^4.215/(g1^2*g2^6) + (g2^2*t^4.215)/g3^10 + (g1*t^4.215)/(g2^3*g3^6) + t^4.215/(g1*g2^2*g3^5) + (g1^2*t^4.215)/(g2^8*g3^2) + t^4.215/(g2^7*g3) + (g2^4*t^4.946)/g3^2 + g2*g3*t^4.946 + (g1*g3^2*t^4.946)/g2 + (g3^3*t^4.946)/g1 + g2^6*g3^6*t^5.677 - 3*t^6. + (g2^6*t^6.)/g3^6 + (g2^3*t^6.)/g3^3 + (g1*g2*t^6.)/g3^2 + (g2^2*t^6.)/(g1*g3) + (g1*g3*t^6.)/g2^2 + (g1^2*g3^2*t^6.)/g2^4 + (g3^2*t^6.)/(g1*g2) + (g3^3*t^6.)/g2^3 + (g3^4*t^6.)/(g1^2*g2^2) + t^6.323/(g1^3*g2^9) + (g2^3*t^6.323)/g3^15 + (g1*t^6.323)/(g2^2*g3^11) + t^6.323/(g1*g2*g3^10) + (g1^2*t^6.323)/(g2^7*g3^7) + t^6.323/(g2^6*g3^6) + t^6.323/(g1^2*g2^5*g3^5) + (g1^3*t^6.323)/(g2^12*g3^3) + (g1*t^6.323)/(g2^11*g3^2) + t^6.323/(g1*g2^10*g3) + g2^8*g3^2*t^6.731 + 2*g2^5*g3^5*t^6.731 + g1*g2^3*g3^6*t^6.731 + (g2^4*g3^7*t^6.731)/g1 + (g2^5*t^7.054)/g3^7 - (2*t^7.054)/(g2*g3) + (g1^2*g3*t^7.054)/g2^5 + (g3^3*t^7.054)/(g1^2*g2^3) + (g2^10*t^7.785)/g3^2 + 2*g2^7*g3*t^7.785 + g2^4*g3^4*t^7.785 + 2*g1*g2^2*g3^5*t^7.785 + g1^2*g3^6*t^7.785 + (2*g2^3*g3^6*t^7.785)/g1 + (g2^2*g3^8*t^7.785)/g1^2 + (g1^2*t^8.108)/g2^6 - (3*t^8.108)/(g1*g2^3) + (g2^7*t^8.108)/g3^11 + (g2^4*t^8.108)/g3^8 + (g1*g2^2*t^8.108)/g3^7 + (g2^3*t^8.108)/(g1*g3^6) - (3*g2*t^8.108)/g3^5 + (g1^2*t^8.108)/(g2^3*g3^3) + t^8.108/(g2^2*g3^2) - (3*g1*t^8.108)/(g2^4*g3) + t^8.108/(g1^2*g2*g3) + (g1^3*g3*t^8.108)/g2^8 + (g1*g3^2*t^8.108)/g2^7 + (g3^2*t^8.108)/(g1^2*g2^4) + (g3^3*t^8.108)/(g1*g2^6) + (g3^4*t^8.108)/(g1^3*g2^5) + t^8.431/(g1^4*g2^12) + (g2^4*t^8.431)/g3^20 + (g1*t^8.431)/(g2*g3^16) + t^8.431/(g1*g3^15) + (g1^2*t^8.431)/(g2^6*g3^12) + t^8.431/(g2^5*g3^11) + t^8.431/(g1^2*g2^4*g3^10) + (g1^3*t^8.431)/(g2^11*g3^8) + (g1*t^8.431)/(g2^10*g3^7) + t^8.431/(g1*g2^9*g3^6) + t^8.431/(g1^3*g2^8*g3^5) + (g1^4*t^8.431)/(g2^16*g3^4) + (g1^2*t^8.431)/(g2^15*g3^3) + t^8.431/(g2^14*g3^2) + t^8.431/(g1^2*g2^13*g3) + g2^9*g3^9*t^8.516 + g2^6*t^8.839 + (g2^9*t^8.839)/g3^3 - 3*g2^3*g3^3*t^8.839 + g1*g2*g3^4*t^8.839 + (g1^2*g3^5*t^8.839)/g2 + (g2^2*g3^5*t^8.839)/g1 + (g2*g3^7*t^8.839)/g1^2 - t^4.054/(g2*g3*y) - t^6.161/(g3^6*y) - (g1*t^6.161)/(g2^5*g3^2*y) - t^6.161/(g1*g2^4*g3*y) + (g1*t^7.215)/(g2^3*g3^6*y) + t^7.215/(g1*g2^2*g3^5*y) + t^7.215/(g2^7*g3*y) + (g2^3*t^7.946)/(g1*y) + (g2^4*t^7.946)/(g3^2*y) + (g1*g2^2*t^7.946)/(g3*y) + (g1*g3^2*t^7.946)/(g2*y) + (g3^3*t^7.946)/(g1*y) + (g3^4*t^7.946)/(g2^2*y) - (g2*t^8.269)/(g3^11*y) - (g1*t^8.269)/(g2^4*g3^7*y) - t^8.269/(g1*g2^3*g3^6*y) - (g1^2*t^8.269)/(g2^9*g3^3*y) - t^8.269/(g2^8*g3^2*y) - t^8.269/(g1^2*g2^7*g3*y) - (t^4.054*y)/(g2*g3) - (t^6.161*y)/g3^6 - (g1*t^6.161*y)/(g2^5*g3^2) - (t^6.161*y)/(g1*g2^4*g3) + (g1*t^7.215*y)/(g2^3*g3^6) + (t^7.215*y)/(g1*g2^2*g3^5) + (t^7.215*y)/(g2^7*g3) + (g2^3*t^7.946*y)/g1 + (g2^4*t^7.946*y)/g3^2 + (g1*g2^2*t^7.946*y)/g3 + (g1*g3^2*t^7.946*y)/g2 + (g3^3*t^7.946*y)/g1 + (g3^4*t^7.946*y)/g2^2 - (g2*t^8.269*y)/g3^11 - (g1*t^8.269*y)/(g2^4*g3^7) - (t^8.269*y)/(g1*g2^3*g3^6) - (g1^2*t^8.269*y)/(g2^9*g3^3) - (t^8.269*y)/(g2^8*g3^2) - (t^8.269*y)/(g1^2*g2^7*g3)

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
280	${}\phi_{1}q_{1}q_{2}$ + ${ }M_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{4}q_{2}\tilde{q}_{1}$ + ${ }M_{1}^{2}$	0.6018	0.7514	0.8009	[M:[1.0, 1.2127, 0.6809, 0.6809], q:[0.6436, 0.9627], qb:[0.3564, 0.4627], phi:[0.3936]]	2*t^2.043 + t^2.457 + t^3. + 2*t^3.319 + 2*t^3.638 + 3*t^4.085 + t^4.276 + 2*t^4.5 + t^4.819 + t^4.915 + 2*t^5.043 + 3*t^5.362 + t^5.457 + 2*t^5.681 + 2*t^5.776 - 2*t^6. - t^4.181/y - t^4.181*y	detail
283	${}\phi_{1}q_{1}q_{2}$ + ${ }M_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{4}q_{2}\tilde{q}_{1}$ + ${ }M_{5}\phi_{1}\tilde{q}_{1}^{2}$	0.6689	0.8351	0.801	[M:[0.6951, 1.3008, 0.7072, 0.6951, 0.6911], 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
114	SU2adj1nf2	${}\phi_{1}q_{1}q_{2}$ + ${ }M_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}\phi_{1}\tilde{q}_{2}^{2}$	0.6281	0.7586	0.8281	[M:[0.7009, 1.2889, 0.7009], q:[0.8375, 0.807], qb:[0.4616, 0.4718], phi:[0.3555]]	2*t^2.103 + t^2.8 + t^3.806 + 2*t^3.836 + 2*t^3.867 + t^3.928 + 3*t^4.205 + 2*t^4.903 + t^4.933 + t^5.6 + 2*t^5.909 + 3*t^5.939 + 2*t^5.97 - 3*t^6. - t^4.067/y - t^4.067*y	detail