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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
4768	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{2}\phi_{1}q_{2}^{2}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$ + ${ }M_{3}M_{7}$ + ${ }M_{5}M_{8}$	0.6932	0.8704	0.7964	[M:[1.0099, 0.7767, 0.9516, 0.835, 1.165, 0.7767, 1.0484, 0.835], q:[0.6017, 0.3883], qb:[0.4467, 0.7767], phi:[0.4467]]	[M:[[-18], [2], [-13], [-3], [3], [2], [13], [-3]], q:[[17], [1]], qb:[[-4], [2]], phi:[[-4]]]	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
${}M_{2}$, ${ }M_{6}$, ${ }M_{4}$, ${ }M_{8}$, ${ }\phi_{1}^{2}$, ${ }M_{1}$, ${ }M_{7}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{2}^{2}$, ${ }M_{2}M_{6}$, ${ }M_{6}^{2}$, ${ }M_{2}M_{4}$, ${ }M_{4}M_{6}$, ${ }M_{2}M_{8}$, ${ }M_{6}M_{8}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}^{2}$, ${ }M_{4}^{2}$, ${ }M_{4}M_{8}$, ${ }M_{8}^{2}$, ${ }M_{2}\phi_{1}^{2}$, ${ }M_{6}\phi_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{8}\phi_{1}^{2}$, ${ }M_{1}M_{2}$, ${ }M_{1}M_{6}$, ${ }\phi_{1}^{4}$, ${ }M_{2}M_{7}$, ${ }M_{6}M_{7}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{1}M_{4}$, ${ }M_{1}M_{8}$, ${ }M_{4}M_{7}$, ${ }M_{7}M_{8}$, ${ }M_{1}\phi_{1}^{2}$	${}$	-3	2*t^2.33 + 2*t^2.505 + t^2.68 + t^3.03 + t^3.145 + t^3.845 + t^4.02 + t^4.135 + t^4.31 + t^4.485 + 3*t^4.66 + 4*t^4.835 + t^4.95 + 5*t^5.01 + 2*t^5.185 + 2*t^5.36 + 2*t^5.475 + t^5.535 + 2*t^5.65 + t^5.71 - 3*t^6. + t^6.06 + t^6.175 + t^6.29 + 3*t^6.35 + t^6.465 + 2*t^6.525 + 2*t^6.64 + 3*t^6.815 + 5*t^6.99 + t^7.05 + 6*t^7.165 + 3*t^7.28 + 6*t^7.34 + 2*t^7.455 + 7*t^7.515 + t^7.63 + 6*t^7.69 + 3*t^7.865 + 3*t^7.98 + 4*t^8.04 + t^8.095 + 2*t^8.155 + t^8.215 - 6*t^8.33 + 3*t^8.39 - 5*t^8.505 + t^8.565 + 2*t^8.62 - t^8.68 + t^8.74 + 3*t^8.795 + 4*t^8.855 + 2*t^8.97 - t^4.34/y - (2*t^6.67)/y - t^6.845/y - t^7.02/y + t^7.31/y - t^7.37/y + (2*t^7.66)/y + (5*t^7.835)/y + (5*t^8.01)/y + (2*t^8.185)/y + (2*t^8.36)/y + (2*t^8.475)/y + (2*t^8.535)/y + (2*t^8.65)/y + t^8.71/y + t^8.825/y - t^4.34*y - 2*t^6.67*y - t^6.845*y - t^7.02*y + t^7.31*y - t^7.37*y + 2*t^7.66*y + 5*t^7.835*y + 5*t^8.01*y + 2*t^8.185*y + 2*t^8.36*y + 2*t^8.475*y + 2*t^8.535*y + 2*t^8.65*y + t^8.71*y + t^8.825*y	2*g1^2*t^2.33 + (2*t^2.505)/g1^3 + t^2.68/g1^8 + t^3.03/g1^18 + g1^13*t^3.145 + t^3.845/g1^7 + t^4.02/g1^12 + g1^19*t^4.135 + g1^14*t^4.31 + g1^9*t^4.485 + 3*g1^4*t^4.66 + (4*t^4.835)/g1 + g1^30*t^4.95 + (5*t^5.01)/g1^6 + (2*t^5.185)/g1^11 + (2*t^5.36)/g1^16 + 2*g1^15*t^5.475 + t^5.535/g1^21 + 2*g1^10*t^5.65 + t^5.71/g1^26 - 3*t^6. + t^6.06/g1^36 + t^6.175/g1^5 + g1^26*t^6.29 + (3*t^6.35)/g1^10 + g1^21*t^6.465 + (2*t^6.525)/g1^15 + 2*g1^16*t^6.64 + 3*g1^11*t^6.815 + 5*g1^6*t^6.99 + t^7.05/g1^30 + 6*g1*t^7.165 + 3*g1^32*t^7.28 + (6*t^7.34)/g1^4 + 2*g1^27*t^7.455 + (7*t^7.515)/g1^9 + g1^22*t^7.63 + (6*t^7.69)/g1^14 + (3*t^7.865)/g1^19 + 3*g1^12*t^7.98 + (4*t^8.04)/g1^24 + g1^43*t^8.095 + 2*g1^7*t^8.155 + t^8.215/g1^29 - 6*g1^2*t^8.33 + (3*t^8.39)/g1^34 - (5*t^8.505)/g1^3 + t^8.565/g1^39 + 2*g1^28*t^8.62 - t^8.68/g1^8 + t^8.74/g1^44 + 3*g1^23*t^8.795 + (4*t^8.855)/g1^13 + 2*g1^18*t^8.97 - t^4.34/(g1^4*y) - (2*t^6.67)/(g1^2*y) - t^6.845/(g1^7*y) - t^7.02/(g1^12*y) + (g1^14*t^7.31)/y - t^7.37/(g1^22*y) + (2*g1^4*t^7.66)/y + (5*t^7.835)/(g1*y) + (5*t^8.01)/(g1^6*y) + (2*t^8.185)/(g1^11*y) + (2*t^8.36)/(g1^16*y) + (2*g1^15*t^8.475)/y + (2*t^8.535)/(g1^21*y) + (2*g1^10*t^8.65)/y + t^8.71/(g1^26*y) + (g1^5*t^8.825)/y - (t^4.34*y)/g1^4 - (2*t^6.67*y)/g1^2 - (t^6.845*y)/g1^7 - (t^7.02*y)/g1^12 + g1^14*t^7.31*y - (t^7.37*y)/g1^22 + 2*g1^4*t^7.66*y + (5*t^7.835*y)/g1 + (5*t^8.01*y)/g1^6 + (2*t^8.185*y)/g1^11 + (2*t^8.36*y)/g1^16 + 2*g1^15*t^8.475*y + (2*t^8.535*y)/g1^21 + 2*g1^10*t^8.65*y + (t^8.71*y)/g1^26 + g1^5*t^8.825*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
6390	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{2}\phi_{1}q_{2}^{2}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$ + ${ }M_{3}M_{7}$ + ${ }M_{5}M_{8}$ + ${ }M_{9}\phi_{1}q_{2}\tilde{q}_{1}$	0.7134	0.9084	0.7853	[M:[1.0168, 0.7759, 0.9566, 0.8361, 1.1639, 0.7759, 1.0434, 0.8361, 0.7157], q:[0.5952, 0.388], qb:[0.4482, 0.7759], phi:[0.4482]]	t^2.147 + 2*t^2.328 + 2*t^2.508 + t^2.689 + t^3.05 + t^3.13 + t^4.034 + t^4.113 + 2*t^4.294 + 3*t^4.475 + 5*t^4.655 + 5*t^4.836 + t^4.916 + 5*t^5.017 + 3*t^5.197 + t^5.277 + 2*t^5.378 + 2*t^5.458 + t^5.559 + 2*t^5.639 + t^5.739 - 3*t^6. - t^4.345/y - t^4.345*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
2640	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{2}\phi_{1}q_{2}^{2}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$ + ${ }M_{3}M_{7}$	0.6791	0.8461	0.8026	[M:[1.0181, 0.7758, 0.9575, 0.8364, 1.1636, 0.7758, 1.0425], q:[0.594, 0.3879], qb:[0.4485, 0.7758], phi:[0.4485]]	2*t^2.327 + t^2.509 + t^2.691 + t^3.054 + t^3.127 + t^3.491 + t^3.854 + t^4.036 + t^4.109 + t^4.291 + t^4.473 + 3*t^4.655 + 2*t^4.836 + t^4.909 + 3*t^5.018 + t^5.2 + 2*t^5.382 + 2*t^5.455 + t^5.636 + t^5.745 + 2*t^5.818 - 2*t^6. - t^4.345/y - t^4.345*y	detail