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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
55703	SU2adj1nf3	${}\phi_{1}q_{1}q_{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{2}q_{3}\tilde{q}_{1}$ + ${ }M_{1}^{2}$	0.856	1.0293	0.8316	[X:[], M:[1.0, 0.726], q:[0.75, 0.75, 0.637], qb:[0.637, 0.613, 0.613], phi:[0.5]]	[X:[], M:[[0, 0, 0, 0], [0, 0, 1, 1]], q:[[-1, 0, 0, 0], [1, 0, 0, 0], [0, -1, -1, -1]], qb:[[0, 1, 0, 0], [0, 0, 1, 0], [0, 0, 0, 1]], phi:[[0, 0, 0, 0]]]	4

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

Relevant Operators	Marginal Operators	$n_{marginal}$$-$$|F_{IR}|$	Superconformal Index	Refined index
${}M_{2}$, ${ }M_{1}$, ${ }\tilde{q}_{2}\tilde{q}_{3}$, ${ }q_{3}\tilde{q}_{3}$, ${ }q_{1}\tilde{q}_{2}$, ${ }q_{1}\tilde{q}_{1}$, ${ }M_{2}^{2}$, ${ }q_{1}q_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{1}M_{2}$, ${ }\phi_{1}\tilde{q}_{2}\tilde{q}_{3}$, ${ }\phi_{1}q_{3}\tilde{q}_{3}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}q_{3}^{2}$, ${ }\phi_{1}q_{3}\tilde{q}_{1}$, ${ }M_{2}\tilde{q}_{2}\tilde{q}_{3}$	${}$	-8	t^2.18 + t^3. + t^3.68 + 4*t^3.75 + 4*t^4.09 + 4*t^4.16 + t^4.36 + t^4.5 + 4*t^5.18 + 4*t^5.25 + 3*t^5.32 + t^5.86 - 8*t^6. - 4*t^6.07 + 4*t^6.27 - 4*t^6.41 + t^6.53 + 2*t^6.68 + 4*t^6.75 + 5*t^7.36 + 4*t^7.43 + 5*t^7.5 - 4*t^7.57 + 4*t^7.77 + 16*t^7.84 + 12*t^7.91 + t^8.03 + 5*t^8.18 + 16*t^8.25 + 12*t^8.32 + 4*t^8.44 - 4*t^8.59 + t^8.71 + 5*t^8.86 + 12*t^8.93 - t^4.5/y - t^6.68/y + t^8.18/y + t^8.32/y + (4*t^8.93)/y - t^4.5*y - t^6.68*y + t^8.18*y + t^8.32*y + 4*t^8.93*y	g3*g4*t^2.18 + t^3. + g3*g4*t^3.68 + t^3.75/(g2*g3) + g2*g3*t^3.75 + t^3.75/(g2*g4) + g2*g4*t^3.75 + (g3*t^4.09)/g1 + g1*g3*t^4.09 + (g4*t^4.09)/g1 + g1*g4*t^4.09 + (g2*t^4.16)/g1 + g1*g2*t^4.16 + t^4.16/(g1*g2*g3*g4) + (g1*t^4.16)/(g2*g3*g4) + g3^2*g4^2*t^4.36 + t^4.5 + g3^2*t^5.18 + 2*g3*g4*t^5.18 + g4^2*t^5.18 + t^5.25/(g2*g3) + g2*g3*t^5.25 + t^5.25/(g2*g4) + g2*g4*t^5.25 + g2^2*t^5.32 + t^5.32/(g2^2*g3^2*g4^2) + t^5.32/(g3*g4) + g3^2*g4^2*t^5.86 - 4*t^6. - t^6./(g2^2*g3*g4) - (g3*t^6.)/g4 - (g4*t^6.)/g3 - g2^2*g3*g4*t^6. - (g2*t^6.07)/g3 - t^6.07/(g2*g3*g4^2) - (g2*t^6.07)/g4 - t^6.07/(g2*g3^2*g4) + (g3^2*g4*t^6.27)/g1 + g1*g3^2*g4*t^6.27 + (g3*g4^2*t^6.27)/g1 + g1*g3*g4^2*t^6.27 - t^6.41/(g1*g3) - (g1*t^6.41)/g3 - t^6.41/(g1*g4) - (g1*t^6.41)/g4 + g3^3*g4^3*t^6.53 + 2*g3*g4*t^6.68 + t^6.75/(g2*g3) + g2*g3*t^6.75 + t^6.75/(g2*g4) + g2*g4*t^6.75 + g3^3*g4*t^7.36 + 3*g3^2*g4^2*t^7.36 + g3*g4^3*t^7.36 + (g3*t^7.43)/g2 + (g4*t^7.43)/g2 + g2*g3^2*g4*t^7.43 + g2*g3*g4^2*t^7.43 - t^7.5 + t^7.5/(g2^2*g3^2) + g2^2*g3^2*t^7.5 + t^7.5/(g2^2*g4^2) + t^7.5/(g2^2*g3*g4) + g2^2*g3*g4*t^7.5 + g2^2*g4^2*t^7.5 - (g2*t^7.57)/g3 - t^7.57/(g2*g3*g4^2) - (g2*t^7.57)/g4 - t^7.57/(g2*g3^2*g4) + (g3^2*g4*t^7.77)/g1 + g1*g3^2*g4*t^7.77 + (g3*g4^2*t^7.77)/g1 + g1*g3*g4^2*t^7.77 + (2*t^7.84)/(g1*g2) + (2*g1*t^7.84)/g2 + (g2*g3^2*t^7.84)/g1 + g1*g2*g3^2*t^7.84 + (g3*t^7.84)/(g1*g2*g4) + (g1*g3*t^7.84)/(g2*g4) + (g4*t^7.84)/(g1*g2*g3) + (g1*g4*t^7.84)/(g2*g3) + (2*g2*g3*g4*t^7.84)/g1 + 2*g1*g2*g3*g4*t^7.84 + (g2*g4^2*t^7.84)/g1 + g1*g2*g4^2*t^7.84 + t^7.91/(g1*g3) + (g1*t^7.91)/g3 + (g2^2*g3*t^7.91)/g1 + g1*g2^2*g3*t^7.91 + t^7.91/(g1*g2^2*g3*g4^2) + (g1*t^7.91)/(g2^2*g3*g4^2) + t^7.91/(g1*g4) + (g1*t^7.91)/g4 + t^7.91/(g1*g2^2*g3^2*g4) + (g1*t^7.91)/(g2^2*g3^2*g4) + (g2^2*g4*t^7.91)/g1 + g1*g2^2*g4*t^7.91 + g3^3*g4^3*t^8.03 + (g3^2*t^8.18)/g1^2 + g1^2*g3^2*t^8.18 - g3*g4*t^8.18 + (g3*g4*t^8.18)/g1^2 + g1^2*g3*g4*t^8.18 + (g4^2*t^8.18)/g1^2 + g1^2*g4^2*t^8.18 + (2*t^8.25)/(g2*g3) + t^8.25/(g1^2*g2*g3) + (g1^2*t^8.25)/(g2*g3) + 2*g2*g3*t^8.25 + (g2*g3*t^8.25)/g1^2 + g1^2*g2*g3*t^8.25 + (2*t^8.25)/(g2*g4) + t^8.25/(g1^2*g2*g4) + (g1^2*t^8.25)/(g2*g4) + 2*g2*g4*t^8.25 + (g2*g4*t^8.25)/g1^2 + g1^2*g2*g4*t^8.25 + g2^2*t^8.32 + (g2^2*t^8.32)/g1^2 + g1^2*g2^2*t^8.32 + t^8.32/g3^2 + t^8.32/g4^2 + t^8.32/(g2^2*g3^2*g4^2) + t^8.32/(g1^2*g2^2*g3^2*g4^2) + (g1^2*t^8.32)/(g2^2*g3^2*g4^2) + (2*t^8.32)/(g3*g4) + t^8.32/(g1^2*g3*g4) + (g1^2*t^8.32)/(g3*g4) + (g3^3*g4^2*t^8.44)/g1 + g1*g3^3*g4^2*t^8.44 + (g3^2*g4^3*t^8.44)/g1 + g1*g3^2*g4^3*t^8.44 - (g3*t^8.59)/g1 - g1*g3*t^8.59 - (g4*t^8.59)/g1 - g1*g4*t^8.59 + g3^4*g4^4*t^8.71 + g3^3*g4*t^8.86 + 3*g3^2*g4^2*t^8.86 + g3*g4^3*t^8.86 + (2*g3*t^8.93)/g2 + g2*g3^3*t^8.93 + (g3^2*t^8.93)/(g2*g4) + (2*g4*t^8.93)/g2 + 2*g2*g3^2*g4*t^8.93 + (g4^2*t^8.93)/(g2*g3) + 2*g2*g3*g4^2*t^8.93 + g2*g4^3*t^8.93 - t^4.5/y - (g3*g4*t^6.68)/y + (g3*g4*t^8.18)/y + t^8.32/(g3*g4*y) + (g3*t^8.93)/(g2*y) + (g4*t^8.93)/(g2*y) + (g2*g3^2*g4*t^8.93)/y + (g2*g3*g4^2*t^8.93)/y - t^4.5*y - g3*g4*t^6.68*y + g3*g4*t^8.18*y + (t^8.32*y)/(g3*g4) + (g3*t^8.93*y)/g2 + (g4*t^8.93*y)/g2 + g2*g3^2*g4*t^8.93*y + g2*g3*g4^2*t^8.93*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
No data available in table

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
55680	SU2adj1nf3	${}\phi_{1}q_{1}q_{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{2}q_{3}\tilde{q}_{1}$	0.8691	1.0645	0.8165	[X:[], M:[0.8785, 0.7991], q:[0.7196, 0.7196, 0.6005], qb:[0.6005, 0.5584, 0.5584], phi:[0.5607]]	t^2.4 + t^2.64 + t^3.35 + 4*t^3.48 + 4*t^3.83 + 4*t^3.96 + t^4.32 + t^4.79 + 4*t^5.03 + 4*t^5.16 + t^5.27 + 3*t^5.29 + t^5.75 + t^5.99 - 9*t^6. - t^4.68/y - t^4.68*y	detail