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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
4430	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{5}q_{2}\tilde{q}_{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{6}$ + ${ }M_{3}M_{5}$ + ${ }M_{6}M_{7}$ + ${ }\phi_{1}q_{2}^{2}$ + ${ }M_{8}\phi_{1}\tilde{q}_{1}^{2}$	0.6583	0.8308	0.7924	[M:[0.7595, 1.0261, 1.1884, 1.1363, 0.8116, 0.8637, 1.1363, 0.7535], q:[0.484, 0.7565], qb:[0.3798, 0.4319], phi:[0.487]]	[M:[[-34], [12], [10], [-14], [-10], [14], [-14], [40]], q:[[31], [3]], qb:[[-17], [7]], phi:[[-6]]]	1

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

Relevant Operators	Marginal Operators	$n_{marginal}$$-$$|F_{IR}|$	Superconformal Index	Refined index
${}M_{8}$, ${ }M_{1}$, ${ }M_{5}$, ${ }q_{1}\tilde{q}_{2}$, ${ }M_{2}$, ${ }M_{4}$, ${ }M_{7}$, ${ }M_{3}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}^{2}$, ${ }M_{8}^{2}$, ${ }M_{1}M_{8}$, ${ }M_{1}^{2}$, ${ }M_{5}M_{8}$, ${ }M_{1}M_{5}$, ${ }M_{5}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{8}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }M_{5}q_{1}\tilde{q}_{2}$, ${ }M_{2}M_{8}$, ${ }M_{1}M_{2}$, ${ }q_{1}^{2}\tilde{q}_{2}^{2}$, ${ }M_{2}M_{5}$, ${ }M_{4}M_{8}$, ${ }M_{7}M_{8}$, ${ }M_{1}M_{4}$, ${ }M_{1}M_{7}$, ${ }M_{3}M_{8}$, ${ }M_{2}q_{1}\tilde{q}_{2}$, ${ }M_{1}M_{3}$, ${ }M_{4}M_{5}$, ${ }M_{5}M_{7}$	${}$	-2	t^2.261 + t^2.279 + t^2.435 + t^2.748 + t^3.078 + 2*t^3.409 + t^3.565 + t^3.896 + 2*t^4.052 + t^4.208 + t^4.365 + t^4.521 + t^4.539 + t^4.557 + t^4.695 + t^4.713 + t^4.87 + t^5.008 + t^5.026 + t^5.182 + t^5.339 + t^5.357 + t^5.495 + t^5.513 + 2*t^5.669 + t^5.687 + 2*t^5.826 + t^5.844 - 2*t^6. + t^6.156 + t^6.174 + 2*t^6.313 + 2*t^6.331 + t^6.469 + 3*t^6.487 + t^6.625 + 2*t^6.643 + t^6.782 + 3*t^6.8 + 2*t^6.818 + t^6.836 + 2*t^6.956 + 2*t^6.974 + t^6.992 + t^7.112 + t^7.13 + t^7.269 + t^7.287 + t^7.305 + t^7.443 + 2*t^7.461 + t^7.599 + 2*t^7.617 + t^7.635 + t^7.756 + 2*t^7.774 + t^7.792 + 3*t^7.93 + 2*t^7.948 + t^7.966 + 2*t^8.086 + 3*t^8.104 + t^8.243 - 2*t^8.279 + 3*t^8.417 - 2*t^8.435 + t^8.453 + 4*t^8.573 + 2*t^8.609 + 2*t^8.73 + 2*t^8.765 + t^8.886 + 2*t^8.904 + 2*t^8.922 - t^4.461/y - t^6.721/y - t^6.739/y + t^7.052/y + t^7.539/y + t^7.695/y + t^7.713/y - t^7.87/y + t^8.008/y + t^8.026/y + (2*t^8.182)/y + t^8.2/y + t^8.339/y + t^8.357/y + t^8.513/y + (2*t^8.669)/y + (2*t^8.687)/y + (2*t^8.826)/y + (3*t^8.844)/y - t^8.982/y - t^4.461*y - t^6.721*y - t^6.739*y + t^7.052*y + t^7.539*y + t^7.695*y + t^7.713*y - t^7.87*y + t^8.008*y + t^8.026*y + 2*t^8.182*y + t^8.2*y + t^8.339*y + t^8.357*y + t^8.513*y + 2*t^8.669*y + 2*t^8.687*y + 2*t^8.826*y + 3*t^8.844*y - t^8.982*y	g1^40*t^2.261 + t^2.279/g1^34 + t^2.435/g1^10 + g1^38*t^2.748 + g1^12*t^3.078 + (2*t^3.409)/g1^14 + g1^10*t^3.565 + t^3.896/g1^16 + 2*g1^8*t^4.052 + g1^32*t^4.208 + g1^56*t^4.365 + g1^80*t^4.521 + g1^6*t^4.539 + t^4.557/g1^68 + g1^30*t^4.695 + t^4.713/g1^44 + t^4.87/g1^20 + g1^78*t^5.008 + g1^4*t^5.026 + g1^28*t^5.182 + g1^52*t^5.339 + t^5.357/g1^22 + g1^76*t^5.495 + g1^2*t^5.513 + 2*g1^26*t^5.669 + t^5.687/g1^48 + 2*g1^50*t^5.826 + t^5.844/g1^24 - 2*t^6. + g1^24*t^6.156 + t^6.174/g1^50 + 2*g1^48*t^6.313 + (2*t^6.331)/g1^26 + g1^72*t^6.469 + (3*t^6.487)/g1^2 + g1^96*t^6.625 + 2*g1^22*t^6.643 + g1^120*t^6.782 + 3*g1^46*t^6.8 + (2*t^6.818)/g1^28 + t^6.836/g1^102 + 2*g1^70*t^6.956 + (2*t^6.974)/g1^4 + t^6.992/g1^78 + g1^94*t^7.112 + g1^20*t^7.13 + g1^118*t^7.269 + g1^44*t^7.287 + t^7.305/g1^30 + g1^68*t^7.443 + (2*t^7.461)/g1^6 + g1^92*t^7.599 + 2*g1^18*t^7.617 + t^7.635/g1^56 + g1^116*t^7.756 + 2*g1^42*t^7.774 + t^7.792/g1^32 + 3*g1^66*t^7.93 + (2*t^7.948)/g1^8 + t^7.966/g1^82 + 2*g1^90*t^8.086 + 3*g1^16*t^8.104 + g1^114*t^8.243 - (2*t^8.279)/g1^34 + 3*g1^64*t^8.417 - (2*t^8.435)/g1^10 + t^8.453/g1^84 + 4*g1^88*t^8.573 + (2*t^8.609)/g1^60 + 2*g1^112*t^8.73 + (2*t^8.765)/g1^36 + g1^136*t^8.886 + 2*g1^62*t^8.904 + (2*t^8.922)/g1^12 - t^4.461/(g1^6*y) - (g1^34*t^6.721)/y - t^6.739/(g1^40*y) + (g1^8*t^7.052)/y + (g1^6*t^7.539)/y + (g1^30*t^7.695)/y + t^7.713/(g1^44*y) - t^7.87/(g1^20*y) + (g1^78*t^8.008)/y + (g1^4*t^8.026)/y + (2*g1^28*t^8.182)/y + t^8.2/(g1^46*y) + (g1^52*t^8.339)/y + t^8.357/(g1^22*y) + (g1^2*t^8.513)/y + (2*g1^26*t^8.669)/y + (2*t^8.687)/(g1^48*y) + (2*g1^50*t^8.826)/y + (3*t^8.844)/(g1^24*y) - (g1^74*t^8.982)/y - (t^4.461*y)/g1^6 - g1^34*t^6.721*y - (t^6.739*y)/g1^40 + g1^8*t^7.052*y + g1^6*t^7.539*y + g1^30*t^7.695*y + (t^7.713*y)/g1^44 - (t^7.87*y)/g1^20 + g1^78*t^8.008*y + g1^4*t^8.026*y + 2*g1^28*t^8.182*y + (t^8.2*y)/g1^46 + g1^52*t^8.339*y + (t^8.357*y)/g1^22 + g1^2*t^8.513*y + 2*g1^26*t^8.669*y + (2*t^8.687*y)/g1^48 + 2*g1^50*t^8.826*y + (3*t^8.844*y)/g1^24 - g1^74*t^8.982*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
5937	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{5}q_{2}\tilde{q}_{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{6}$ + ${ }M_{3}M_{5}$ + ${ }M_{6}M_{7}$ + ${ }\phi_{1}q_{2}^{2}$ + ${ }M_{8}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{8}^{2}$ + ${ }M_{1}X_{1}$	0.5791	0.7103	0.8152	[X:[1.45], M:[0.55, 1.1, 1.25, 1.05, 0.75, 0.95, 1.05, 1.0], q:[0.675, 0.775], qb:[0.275, 0.475], phi:[0.45]]	t^2.25 + t^3. + 2*t^3.15 + t^3.3 + t^3.45 + t^3.6 + t^3.75 + 2*t^4.2 + t^4.35 + t^4.5 + t^5.25 + t^5.4 + t^5.55 + t^5.7 - t^6. - t^4.35/y - t^4.35*y	detail	{a: 18531/32000, c: 22731/32000, X1: 29/20, M1: 11/20, M2: 11/10, M3: 5/4, M4: 21/20, M5: 3/4, M6: 19/20, M7: 21/20, M8: 1, q1: 27/40, q2: 31/40, qb1: 11/40, qb2: 19/40, phi1: 9/20}
5947	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{5}q_{2}\tilde{q}_{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{6}$ + ${ }M_{3}M_{5}$ + ${ }M_{6}M_{7}$ + ${ }\phi_{1}q_{2}^{2}$ + ${ }M_{8}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{9}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$	0.6789	0.8702	0.7801	[M:[0.7622, 1.0251, 1.1876, 1.1374, 0.8124, 0.8626, 1.1374, 0.7503, 0.7001], q:[0.4815, 0.7563], qb:[0.3811, 0.4313], phi:[0.4875]]	t^2.1 + t^2.251 + t^2.287 + t^2.437 + t^2.738 + t^3.075 + 2*t^3.412 + t^3.563 + 2*t^4.05 + 2*t^4.201 + 2*t^4.351 + t^4.387 + t^4.502 + 2*t^4.538 + t^4.573 + t^4.688 + t^4.724 + t^4.839 + t^4.875 + t^4.989 + t^5.025 + 2*t^5.176 + t^5.326 + t^5.362 + t^5.477 + 3*t^5.513 + 3*t^5.663 + t^5.699 + 2*t^5.814 + t^5.849 - 2*t^6. - t^4.462/y - t^4.462*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
2397	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{5}q_{2}\tilde{q}_{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{6}$ + ${ }M_{3}M_{5}$ + ${ }M_{6}M_{7}$ + ${ }\phi_{1}q_{2}^{2}$	0.6399	0.7972	0.8027	[M:[0.7395, 1.0331, 1.1943, 1.128, 0.8057, 0.872, 1.128], q:[0.5022, 0.7583], qb:[0.3697, 0.436], phi:[0.4834]]	t^2.218 + t^2.417 + t^2.815 + t^3.099 + 2*t^3.384 + t^3.583 + t^3.669 + t^3.868 + 2*t^4.066 + t^4.265 + t^4.437 + t^4.464 + t^4.636 + t^4.834 + t^5.033 + t^5.232 + t^5.318 + t^5.517 + t^5.603 + t^5.629 + t^5.801 + t^5.887 + t^5.914 - 2*t^6. - t^4.45/y - t^4.45*y	detail