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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
5906	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{5}q_{2}\tilde{q}_{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{6}$ + ${ }M_{1}^{2}$ + ${ }M_{5}M_{7}$ + ${ }\phi_{1}q_{2}^{2}$ + ${ }M_{4}M_{8}$ + ${ }M_{9}\phi_{1}q_{1}\tilde{q}_{2}$	0.6275	0.815	0.7699	[M:[1.0, 1.0292, 0.9415, 1.2573, 0.6842, 0.7427, 1.3158, 0.7427, 0.7134], q:[0.2427, 0.7573], qb:[0.5, 0.5585], phi:[0.4854]]	[M:[[0], [4], [-8], [1], [-9], [-1], [9], [-1], [-5]], q:[[-1], [1]], qb:[[0], [8]], phi:[[-2]]]	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
${}M_{9}$, ${ }M_{6}$, ${ }M_{8}$, ${ }q_{1}\tilde{q}_{2}$, ${ }M_{3}$, ${ }\phi_{1}q_{1}^{2}$, ${ }M_{1}$, ${ }M_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{7}$, ${ }M_{9}^{2}$, ${ }M_{6}M_{9}$, ${ }M_{8}M_{9}$, ${ }M_{6}^{2}$, ${ }M_{6}M_{8}$, ${ }M_{8}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{9}q_{1}\tilde{q}_{2}$, ${ }M_{6}q_{1}\tilde{q}_{2}$, ${ }M_{8}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }q_{1}^{2}\tilde{q}_{2}^{2}$, ${ }M_{3}M_{9}$, ${ }M_{3}M_{6}$, ${ }M_{3}M_{8}$, ${ }M_{9}\phi_{1}q_{1}^{2}$, ${ }M_{1}M_{9}$, ${ }M_{6}\phi_{1}q_{1}^{2}$, ${ }M_{8}\phi_{1}q_{1}^{2}$, ${ }M_{1}M_{6}$, ${ }M_{1}M_{8}$, ${ }M_{2}M_{9}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{2}M_{6}$, ${ }M_{2}M_{8}$, ${ }\phi_{1}q_{1}^{3}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{2}q_{1}\tilde{q}_{2}$, ${ }M_{3}^{2}$, ${ }M_{3}\phi_{1}q_{1}^{2}$, ${ }M_{1}M_{3}$, ${ }\phi_{1}^{2}q_{1}^{4}$, ${ }M_{9}\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{2}M_{3}$, ${ }M_{6}\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{8}\phi_{1}q_{1}\tilde{q}_{1}$	${}$	-2	t^2.14 + 2*t^2.228 + t^2.404 + t^2.825 + t^2.912 + t^3. + t^3.088 + t^3.684 + t^3.947 + t^4.281 + 2*t^4.368 + 4*t^4.456 + t^4.544 + 3*t^4.632 + 2*t^4.807 + t^4.965 + 2*t^5.053 + 3*t^5.14 + 3*t^5.228 + 3*t^5.316 + t^5.404 + t^5.491 + t^5.649 + t^5.737 + 2*t^5.825 + 3*t^5.912 - 2*t^6. + 2*t^6.088 + t^6.175 + t^6.351 + t^6.421 + 2*t^6.509 + 4*t^6.596 + 5*t^6.684 + 2*t^6.772 + 4*t^6.86 + t^6.947 + 5*t^7.035 + t^7.105 + 2*t^7.193 + 2*t^7.211 + 4*t^7.281 + 7*t^7.368 + 4*t^7.456 + 4*t^7.544 + 3*t^7.632 + 3*t^7.719 + t^7.789 + t^7.807 + 2*t^7.877 + 2*t^7.895 + 3*t^7.965 + 4*t^8.053 + 3*t^8.14 - 3*t^8.228 + 2*t^8.316 - 2*t^8.404 + t^8.474 + t^8.491 + 2*t^8.561 + t^8.579 + 4*t^8.649 + 5*t^8.737 + 2*t^8.754 + 4*t^8.825 + 4*t^8.912 - t^4.456/y - t^6.596/y - t^6.684/y - t^7.281/y + (2*t^7.368)/y + t^7.456/y + t^7.544/y + (3*t^7.632)/y + t^7.965/y + (3*t^8.053)/y + (3*t^8.14)/y + (5*t^8.228)/y + (4*t^8.316)/y + t^8.404/y + t^8.491/y + t^8.825/y + (3*t^8.912)/y - t^4.456*y - t^6.596*y - t^6.684*y - t^7.281*y + 2*t^7.368*y + t^7.456*y + t^7.544*y + 3*t^7.632*y + t^7.965*y + 3*t^8.053*y + 3*t^8.14*y + 5*t^8.228*y + 4*t^8.316*y + t^8.404*y + t^8.491*y + t^8.825*y + 3*t^8.912*y	t^2.14/g1^5 + (2*t^2.228)/g1 + g1^7*t^2.404 + t^2.825/g1^8 + t^2.912/g1^4 + t^3. + g1^4*t^3.088 + t^3.684/g1^3 + g1^9*t^3.947 + t^4.281/g1^10 + (2*t^4.368)/g1^6 + (4*t^4.456)/g1^2 + g1^2*t^4.544 + 3*g1^6*t^4.632 + 2*g1^14*t^4.807 + t^4.965/g1^13 + (2*t^5.053)/g1^9 + (3*t^5.14)/g1^5 + (3*t^5.228)/g1 + 3*g1^3*t^5.316 + g1^7*t^5.404 + g1^11*t^5.491 + t^5.649/g1^16 + t^5.737/g1^12 + (2*t^5.825)/g1^8 + (3*t^5.912)/g1^4 - 2*t^6. + 2*g1^4*t^6.088 + g1^8*t^6.175 + g1^16*t^6.351 + t^6.421/g1^15 + (2*t^6.509)/g1^11 + (4*t^6.596)/g1^7 + (5*t^6.684)/g1^3 + 2*g1*t^6.772 + 4*g1^5*t^6.86 + g1^9*t^6.947 + 5*g1^13*t^7.035 + t^7.105/g1^18 + (2*t^7.193)/g1^14 + 2*g1^21*t^7.211 + (4*t^7.281)/g1^10 + (7*t^7.368)/g1^6 + (4*t^7.456)/g1^2 + 4*g1^2*t^7.544 + 3*g1^6*t^7.632 + 3*g1^10*t^7.719 + t^7.789/g1^21 + g1^14*t^7.807 + (2*t^7.877)/g1^17 + 2*g1^18*t^7.895 + (3*t^7.965)/g1^13 + (4*t^8.053)/g1^9 + (3*t^8.14)/g1^5 - (3*t^8.228)/g1 + 2*g1^3*t^8.316 - 2*g1^7*t^8.404 + t^8.474/g1^24 + g1^11*t^8.491 + (2*t^8.561)/g1^20 + g1^15*t^8.579 + (4*t^8.649)/g1^16 + (5*t^8.737)/g1^12 + 2*g1^23*t^8.754 + (4*t^8.825)/g1^8 + (4*t^8.912)/g1^4 - t^4.456/(g1^2*y) - t^6.596/(g1^7*y) - t^6.684/(g1^3*y) - t^7.281/(g1^10*y) + (2*t^7.368)/(g1^6*y) + t^7.456/(g1^2*y) + (g1^2*t^7.544)/y + (3*g1^6*t^7.632)/y + t^7.965/(g1^13*y) + (3*t^8.053)/(g1^9*y) + (3*t^8.14)/(g1^5*y) + (5*t^8.228)/(g1*y) + (4*g1^3*t^8.316)/y + (g1^7*t^8.404)/y + (g1^11*t^8.491)/y + t^8.825/(g1^8*y) + (3*t^8.912)/(g1^4*y) - (t^4.456*y)/g1^2 - (t^6.596*y)/g1^7 - (t^6.684*y)/g1^3 - (t^7.281*y)/g1^10 + (2*t^7.368*y)/g1^6 + (t^7.456*y)/g1^2 + g1^2*t^7.544*y + 3*g1^6*t^7.632*y + (t^7.965*y)/g1^13 + (3*t^8.053*y)/g1^9 + (3*t^8.14*y)/g1^5 + (5*t^8.228*y)/g1 + 4*g1^3*t^8.316*y + g1^7*t^8.404*y + g1^11*t^8.491*y + (t^8.825*y)/g1^8 + (3*t^8.912*y)/g1^4

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
4405	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{5}q_{2}\tilde{q}_{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{6}$ + ${ }M_{1}^{2}$ + ${ }M_{5}M_{7}$ + ${ }\phi_{1}q_{2}^{2}$ + ${ }M_{4}M_{8}$	0.6073	0.7772	0.7814	[M:[1.0, 1.025, 0.95, 1.2563, 0.6937, 0.7437, 1.3063, 0.7437], q:[0.2437, 0.7563], qb:[0.5, 0.55], phi:[0.4875]]	2*t^2.231 + t^2.381 + t^2.85 + t^2.925 + t^3. + t^3.075 + t^3.694 + t^3.844 + t^3.919 + 4*t^4.462 + 3*t^4.613 + 2*t^4.763 + t^5.081 + 2*t^5.156 + 2*t^5.231 + 3*t^5.306 + t^5.381 + t^5.456 + t^5.7 + t^5.775 + t^5.85 + 3*t^5.925 - 2*t^6. - t^4.462/y - t^4.462*y	detail