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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
500	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }\phi_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{3}M_{6}$	0.7406	0.896	0.8266	[M:[0.8194, 1.1806, 0.8579, 0.7809, 0.7809, 1.1421], q:[0.5518, 0.6288], qb:[0.5903, 0.5903], phi:[0.4097]]	[M:[[0, -2, -2], [0, 2, 2], [1, -4, -2], [-1, 0, -2], [-1, -2, 0], [-1, 4, 2]], q:[[-1, 2, 2], [1, 0, 0]], qb:[[0, 2, 0], [0, 0, 2]], 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
${}M_{5}$, ${ }M_{4}$, ${ }M_{1}$, ${ }M_{6}$, ${ }q_{1}\tilde{q}_{2}$, ${ }M_{2}$, ${ }\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{5}^{2}$, ${ }M_{4}^{2}$, ${ }M_{4}M_{5}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{1}M_{4}$, ${ }M_{1}M_{5}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{1}^{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }M_{4}M_{6}$, ${ }M_{5}M_{6}$, ${ }M_{4}q_{1}\tilde{q}_{2}$, ${ }M_{5}q_{1}\tilde{q}_{2}$, ${ }M_{2}M_{4}$, ${ }M_{1}M_{6}$, ${ }M_{4}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{2}M_{5}$, ${ }M_{5}\tilde{q}_{1}\tilde{q}_{2}$	${}M_{1}M_{2}$, ${ }M_{1}\tilde{q}_{1}\tilde{q}_{2}$	-4	2*t^2.343 + t^2.458 + 2*t^3.426 + 2*t^3.542 + t^4.54 + 2*t^4.655 + 3*t^4.685 + 4*t^4.771 + 2*t^4.801 + 2*t^4.886 + t^4.916 + t^5.002 + 3*t^5.769 + 2*t^5.885 - 4*t^6. - 4*t^6.115 - t^6.231 + 3*t^6.853 + 2*t^6.883 + 4*t^6.968 + 4*t^6.998 + 4*t^7.028 + 2*t^7.084 + 6*t^7.114 + 3*t^7.143 + 3*t^7.229 + 2*t^7.259 + t^7.374 + 2*t^7.966 + 4*t^8.082 + 4*t^8.112 + 6*t^8.197 + 2*t^8.227 + 3*t^8.313 - 8*t^8.343 - 8*t^8.458 - 4*t^8.574 - t^4.229/y - (2*t^6.572)/y - t^6.687/y + t^7.685/y + t^7.771/y + (2*t^7.801)/y + (2*t^7.886)/y + (4*t^8.769)/y + (6*t^8.885)/y - (3*t^8.914)/y - t^4.229*y - 2*t^6.572*y - t^6.687*y + t^7.685*y + t^7.771*y + 2*t^7.801*y + 2*t^7.886*y + 4*t^8.769*y + 6*t^8.885*y - 3*t^8.914*y	t^2.343/(g1*g2^2) + t^2.343/(g1*g3^2) + t^2.458/(g2^2*g3^2) + (g2^4*g3^2*t^3.426)/g1 + (g2^2*g3^4*t^3.426)/g1 + 2*g2^2*g3^2*t^3.542 + (g2^3*g3^3*t^4.54)/g1^2 + (g2^3*g3*t^4.655)/g1 + (g2*g3^3*t^4.655)/g1 + t^4.685/(g1^2*g2^4) + t^4.685/(g1^2*g3^4) + t^4.685/(g1^2*g2^2*g3^2) + (g2^3*t^4.771)/g3 + 2*g2*g3*t^4.771 + (g3^3*t^4.771)/g2 + t^4.801/(g1*g2^2*g3^4) + t^4.801/(g1*g2^4*g3^2) + (g1*g2*t^4.886)/g3 + (g1*g3*t^4.886)/g2 + t^4.916/(g2^4*g3^4) + (g1^2*t^5.002)/(g2*g3) + (g2^4*t^5.769)/g1^2 + (g2^2*g3^2*t^5.769)/g1^2 + (g3^4*t^5.769)/g1^2 + (g2^2*t^5.885)/g1 + (g3^2*t^5.885)/g1 - 2*t^6. - (g2^2*t^6.)/g3^2 - (g3^2*t^6.)/g2^2 - (2*g1*t^6.115)/g2^2 - (2*g1*t^6.115)/g3^2 - (g1^2*t^6.231)/(g2^2*g3^2) + (g2^8*g3^4*t^6.853)/g1^2 + (g2^6*g3^6*t^6.853)/g1^2 + (g2^4*g3^8*t^6.853)/g1^2 + (g2^3*g3*t^6.883)/g1^3 + (g2*g3^3*t^6.883)/g1^3 + (2*g2^6*g3^4*t^6.968)/g1 + (2*g2^4*g3^6*t^6.968)/g1 + (g2^3*t^6.998)/(g1^2*g3) + (2*g2*g3*t^6.998)/g1^2 + (g3^3*t^6.998)/(g1^2*g2) + t^7.028/(g1^3*g2^6) + t^7.028/(g1^3*g3^6) + t^7.028/(g1^3*g2^2*g3^4) + t^7.028/(g1^3*g2^4*g3^2) + 2*g2^4*g3^4*t^7.084 + (g2^3*t^7.114)/(g1*g3^3) + (2*g2*t^7.114)/(g1*g3) + (2*g3*t^7.114)/(g1*g2) + (g3^3*t^7.114)/(g1*g2^3) + t^7.143/(g1^2*g2^2*g3^6) + t^7.143/(g1^2*g2^4*g3^4) + t^7.143/(g1^2*g2^6*g3^2) + (g2*t^7.229)/g3^3 + t^7.229/(g2*g3) + (g3*t^7.229)/g2^3 + t^7.259/(g1*g2^4*g3^6) + t^7.259/(g1*g2^6*g3^4) + t^7.374/(g2^6*g3^6) + (g2^7*g3^5*t^7.966)/g1^3 + (g2^5*g3^7*t^7.966)/g1^3 + (g2^7*g3^3*t^8.082)/g1^2 + (2*g2^5*g3^5*t^8.082)/g1^2 + (g2^3*g3^7*t^8.082)/g1^2 + (g2^2*t^8.112)/g1^3 + (g2^4*t^8.112)/(g1^3*g3^2) + (g3^2*t^8.112)/g1^3 + (g3^4*t^8.112)/(g1^3*g2^2) + (g2^7*g3*t^8.197)/g1 + (2*g2^5*g3^3*t^8.197)/g1 + (2*g2^3*g3^5*t^8.197)/g1 + (g2*g3^7*t^8.197)/g1 + (g2^2*t^8.227)/(g1^2*g3^2) + (g3^2*t^8.227)/(g1^2*g2^2) + g2^5*g3*t^8.313 + g2^3*g3^3*t^8.313 + g2*g3^5*t^8.313 - (3*t^8.343)/(g1*g2^2) - (g2^2*t^8.343)/(g1*g3^4) - (3*t^8.343)/(g1*g3^2) - (g3^2*t^8.343)/(g1*g2^4) - (2*t^8.458)/g2^4 - (2*t^8.458)/g3^4 - (4*t^8.458)/(g2^2*g3^2) - (2*g1*t^8.574)/(g2^2*g3^4) - (2*g1*t^8.574)/(g2^4*g3^2) - t^4.229/(g2*g3*y) - t^6.572/(g1*g2*g3^3*y) - t^6.572/(g1*g2^3*g3*y) - t^6.687/(g2^3*g3^3*y) + t^7.685/(g1^2*g2^2*g3^2*y) + (g2*g3*t^7.771)/y + t^7.801/(g1*g2^2*g3^4*y) + t^7.801/(g1*g2^4*g3^2*y) + (g1*g2*t^7.886)/(g3*y) + (g1*g3*t^7.886)/(g2*y) + (g2^4*t^8.769)/(g1^2*y) + (2*g2^2*g3^2*t^8.769)/(g1^2*y) + (g3^4*t^8.769)/(g1^2*y) + (3*g2^2*t^8.885)/(g1*y) + (3*g3^2*t^8.885)/(g1*y) - t^8.914/(g1^2*g2*g3^5*y) - t^8.914/(g1^2*g2^3*g3^3*y) - t^8.914/(g1^2*g2^5*g3*y) - (t^4.229*y)/(g2*g3) - (t^6.572*y)/(g1*g2*g3^3) - (t^6.572*y)/(g1*g2^3*g3) - (t^6.687*y)/(g2^3*g3^3) + (t^7.685*y)/(g1^2*g2^2*g3^2) + g2*g3*t^7.771*y + (t^7.801*y)/(g1*g2^2*g3^4) + (t^7.801*y)/(g1*g2^4*g3^2) + (g1*g2*t^7.886*y)/g3 + (g1*g3*t^7.886*y)/g2 + (g2^4*t^8.769*y)/g1^2 + (2*g2^2*g3^2*t^8.769*y)/g1^2 + (g3^4*t^8.769*y)/g1^2 + (3*g2^2*t^8.885*y)/g1 + (3*g3^2*t^8.885*y)/g1 - (t^8.914*y)/(g1^2*g2*g3^5) - (t^8.914*y)/(g1^2*g2^3*g3^3) - (t^8.914*y)/(g1^2*g2^5*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
786	${}M_{1}q_{1}q_{2}$ + ${ }\phi_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{3}M_{6}$ + ${ }M_{1}M_{7}$	0.7262	0.8734	0.8315	[M:[0.8461, 1.1539, 0.8889, 0.8033, 0.8033, 1.1111, 1.1539], q:[0.5341, 0.6197], qb:[0.5769, 0.5769], phi:[0.4231]]	2*t^2.41 + 2*t^3.333 + 3*t^3.462 + t^4.474 + 2*t^4.602 + 4*t^4.731 + 3*t^4.82 + 2*t^4.859 + t^4.988 + 3*t^5.743 + 2*t^5.872 - 6*t^6. - t^4.269/y - t^4.269*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
320	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }\phi_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$	0.7556	0.9204	0.821	[M:[0.7942, 1.2058, 0.7942, 0.7942, 0.7604], q:[0.586, 0.6198], qb:[0.6198, 0.586], phi:[0.3971]]	t^2.281 + 3*t^2.383 + t^3.516 + 2*t^3.617 + t^4.562 + 3*t^4.664 + 3*t^4.707 + 6*t^4.765 + 4*t^4.809 + 3*t^4.91 + t^5.797 + t^5.899 - 2*t^6. - t^4.191/y - t^4.191*y	detail