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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
1575	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{2}M_{6}$ + ${ }M_{3}M_{7}$	0.696	0.8546	0.8144	[M:[0.9364, 1.0428, 1.0104, 0.9687, 1.0313, 0.9572, 0.9896], q:[0.5423, 0.5214], qb:[0.4473, 0.5099], phi:[0.4948]]	[M:[[16, 8], [-12, -12], [-2, 2], [6, -6], [-6, 6], [12, 12], [2, -2]], q:[[-10, -2], [-6, -6]], qb:[[12, 0], [0, 12]], phi:[[1, -1]]]	2

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

Relevant Operators	Marginal Operators	$n_{marginal}$$-$$|F_{IR}|$	Superconformal Index	Refined index
${}M_{1}$, ${ }M_{6}$, ${ }M_{4}$, ${ }M_{7}$, ${ }\phi_{1}^{2}$, ${ }M_{5}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}q_{1}^{2}$, ${ }M_{1}^{2}$, ${ }M_{1}M_{6}$, ${ }M_{6}^{2}$, ${ }M_{4}M_{6}$, ${ }M_{1}M_{7}$, ${ }M_{1}\phi_{1}^{2}$, ${ }M_{6}M_{7}$, ${ }M_{6}\phi_{1}^{2}$, ${ }M_{4}M_{7}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{7}^{2}$, ${ }M_{7}\phi_{1}^{2}$, ${ }\phi_{1}^{4}$, ${ }M_{5}M_{6}$	${}$	-3	t^2.809 + t^2.872 + t^2.906 + 2*t^2.969 + t^3.094 + t^3.156 + t^4.168 + t^4.356 + t^4.39 + t^4.453 + t^4.544 + t^4.578 + t^4.613 + t^4.641 + t^4.675 + t^4.738 + t^5.618 + t^5.681 + t^5.743 + 2*t^5.778 + 2*t^5.84 + 2*t^5.875 + 2*t^5.937 + t^5.966 - 3*t^6. + t^6.028 - t^6.034 + t^6.063 - t^6.097 + 2*t^6.125 - t^6.222 + t^6.25 - t^6.285 + t^6.313 + t^6.977 + t^7.04 + t^7.074 + 2*t^7.137 + t^7.165 - t^7.2 + t^7.228 + 2*t^7.262 + 3*t^7.325 + t^7.353 + 2*t^7.359 - t^7.387 + t^7.415 + t^7.422 + 2*t^7.45 - t^7.484 + 3*t^7.512 + 3*t^7.547 - t^7.575 + t^7.581 + 2*t^7.61 + t^7.638 + t^7.644 - t^7.672 + t^7.7 + t^7.707 + t^7.735 - t^7.769 + t^7.797 + t^7.832 + t^7.894 + t^8.336 + t^8.427 + t^8.49 + t^8.524 + t^8.552 + t^8.559 + t^8.587 + t^8.615 + 2*t^8.649 - t^8.684 + 3*t^8.712 + 4*t^8.746 + t^8.781 + t^8.837 + 3*t^8.844 - 5*t^8.872 + 2*t^8.9 - t^8.906 + 2*t^8.934 - 7*t^8.969 + 2*t^8.997 - t^4.484/y - t^7.293/y - t^7.453/y + t^7.516/y + t^7.675/y + t^8.681/y + t^8.715/y + (3*t^8.778)/y + (2*t^8.84)/y + (2*t^8.875)/y + t^8.903/y + t^8.937/y + (2*t^8.966)/y - t^4.484*y - t^7.293*y - t^7.453*y + t^7.516*y + t^7.675*y + t^8.681*y + t^8.715*y + 3*t^8.778*y + 2*t^8.84*y + 2*t^8.875*y + t^8.903*y + t^8.937*y + 2*t^8.966*y	g1^16*g2^8*t^2.809 + g1^12*g2^12*t^2.872 + (g1^6*t^2.906)/g2^6 + (2*g1^2*t^2.969)/g2^2 + (g2^6*t^3.094)/g1^6 + (g2^10*t^3.156)/g1^10 + (g1^25*t^4.168)/g2 + g1^13*g2^11*t^4.356 + (g1^7*t^4.39)/g2^7 + (g1^3*t^4.453)/g2^3 + g1*g2^23*t^4.544 + (g2^5*t^4.578)/g1^5 + t^4.613/(g1^11*g2^13) + (g2^9*t^4.641)/g1^9 + t^4.675/(g1^15*g2^9) + t^4.738/(g1^19*g2^5) + g1^32*g2^16*t^5.618 + g1^28*g2^20*t^5.681 + g1^24*g2^24*t^5.743 + 2*g1^18*g2^6*t^5.778 + 2*g1^14*g2^10*t^5.84 + (2*g1^8*t^5.875)/g2^8 + (2*g1^4*t^5.937)/g2^4 + g1^6*g2^18*t^5.966 - 3*t^6. + g1^2*g2^22*t^6.028 - t^6.034/(g1^6*g2^18) + (g2^4*t^6.063)/g1^4 - t^6.097/(g1^10*g2^14) + (2*g2^8*t^6.125)/g1^8 - t^6.222/(g1^18*g2^6) + (g2^16*t^6.25)/g1^16 - t^6.285/(g1^22*g2^2) + (g2^20*t^6.313)/g1^20 + g1^41*g2^7*t^6.977 + g1^37*g2^11*t^7.04 + (g1^31*t^7.074)/g2^7 + (2*g1^27*t^7.137)/g2^3 + g1^29*g2^19*t^7.165 - g1^23*g2*t^7.2 + g1^25*g2^23*t^7.228 + 2*g1^19*g2^5*t^7.262 + 3*g1^15*g2^9*t^7.325 + g1^17*g2^31*t^7.353 + (2*g1^9*t^7.359)/g2^9 - g1^11*g2^13*t^7.387 + g1^13*g2^35*t^7.415 + (g1^5*t^7.422)/g2^5 + 2*g1^7*g2^17*t^7.45 - (g1*t^7.484)/g2 + 3*g1^3*g2^21*t^7.512 + (3*g2^3*t^7.547)/g1^3 - (g2^25*t^7.575)/g1 + t^7.581/(g1^9*g2^15) + (2*g2^7*t^7.61)/g1^7 + (g2^29*t^7.638)/g1^5 + t^7.644/(g1^13*g2^11) - (g2^11*t^7.672)/g1^11 + (g2^33*t^7.7)/g1^9 + t^7.707/(g1^17*g2^7) + (g2^15*t^7.735)/g1^15 - t^7.769/(g1^21*g2^3) + (g2^19*t^7.797)/g1^19 + (g2*t^7.832)/g1^25 + (g2^5*t^7.894)/g1^29 + (g1^50*t^8.336)/g2^2 + g1^48*g2^24*t^8.427 + g1^44*g2^28*t^8.49 + g1^38*g2^10*t^8.524 + g1^40*g2^32*t^8.552 + (g1^32*t^8.559)/g2^8 + g1^34*g2^14*t^8.587 + g1^36*g2^36*t^8.615 + 2*g1^30*g2^18*t^8.649 - g1^24*t^8.684 + 3*g1^26*g2^22*t^8.712 + 4*g1^20*g2^4*t^8.746 + (g1^14*t^8.781)/g2^14 + g1^18*g2^30*t^8.837 + (3*g1^10*t^8.844)/g2^10 - 5*g1^12*g2^12*t^8.872 + 2*g1^14*g2^34*t^8.9 - (g1^6*t^8.906)/g2^6 + 2*g1^8*g2^16*t^8.934 - (7*g1^2*t^8.969)/g2^2 + 2*g1^4*g2^20*t^8.997 - (g1*t^4.484)/(g2*y) - (g1^17*g2^7*t^7.293)/y - (g1^3*t^7.453)/(g2^3*y) + (g2*t^7.516)/(g1*y) + t^7.675/(g1^15*g2^9*y) + (g1^28*g2^20*t^8.681)/y + (g1^22*g2^2*t^8.715)/y + (3*g1^18*g2^6*t^8.778)/y + (2*g1^14*g2^10*t^8.84)/y + (2*g1^8*t^8.875)/(g2^8*y) + (g1^10*g2^14*t^8.903)/y + (g1^4*t^8.937)/(g2^4*y) + (2*g1^6*g2^18*t^8.966)/y - (g1*t^4.484*y)/g2 - g1^17*g2^7*t^7.293*y - (g1^3*t^7.453*y)/g2^3 + (g2*t^7.516*y)/g1 + (t^7.675*y)/(g1^15*g2^9) + g1^28*g2^20*t^8.681*y + g1^22*g2^2*t^8.715*y + 3*g1^18*g2^6*t^8.778*y + 2*g1^14*g2^10*t^8.84*y + (2*g1^8*t^8.875*y)/g2^8 + g1^10*g2^14*t^8.903*y + (g1^4*t^8.937*y)/g2^4 + 2*g1^6*g2^18*t^8.966*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
997	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{2}M_{6}$	0.6951	0.8535	0.8144	[M:[0.9385, 1.0457, 1.0079, 0.9764, 1.0236, 0.9543], q:[0.5386, 0.5229], qb:[0.4535, 0.5008], phi:[0.4961]]	t^2.816 + t^2.863 + t^2.929 + t^2.976 + t^3.024 + t^3.071 + t^3.118 + t^4.209 + t^4.351 + t^4.417 + t^4.465 + t^4.493 + t^4.559 + t^4.606 + t^4.625 + t^4.673 + t^4.72 + t^5.631 + t^5.678 + t^5.726 + t^5.792 + 2*t^5.839 + t^5.886 + t^5.906 + t^5.934 + t^5.953 + t^5.981 - 2*t^6. - t^4.488/y - t^4.488*y	detail