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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
2017	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{5}q_{2}\tilde{q}_{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{1}M_{7}$ + ${ }M_{5}M_{8}$ + ${ }\phi_{1}\tilde{q}_{1}^{2}$	0.7202	0.897	0.803	[M:[0.9657, 1.1723, 0.6898, 0.6898, 0.9657, 0.6898, 1.0343, 1.0343], q:[0.5172, 0.5172], qb:[0.7931, 0.5172], phi:[0.4139]]	[M:[[0, -7, 1], [0, 4, 0], [0, -1, -1], [1, -8, 1], [-1, 0, -1], [-1, -1, 0], [0, 7, -1], [1, 0, 1]], q:[[-1, 7, -1], [1, 0, 0]], qb:[[0, 1, 0], [0, 0, 1]], phi:[[0, -2, 0]]]	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
${}M_{6}$, ${ }M_{3}$, ${ }M_{4}$, ${ }q_{1}\tilde{q}_{2}$, ${ }M_{7}$, ${ }M_{8}$, ${ }M_{2}$, ${ }M_{3}M_{4}$, ${ }M_{6}^{2}$, ${ }M_{3}^{2}$, ${ }M_{3}M_{6}$, ${ }M_{4}M_{6}$, ${ }M_{4}^{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{4}M_{7}$, ${ }M_{3}M_{8}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{6}q_{1}\tilde{q}_{2}$, ${ }M_{3}M_{7}$, ${ }M_{6}M_{7}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{6}M_{8}$, ${ }M_{4}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{4}M_{8}$, ${ }M_{2}M_{6}$, ${ }M_{2}M_{3}$, ${ }M_{2}M_{4}$	${}$	-9	3*t^2.069 + 3*t^3.103 + t^3.517 + 6*t^4.139 + 6*t^4.345 + 9*t^5.172 + 3*t^5.586 - 9*t^6. + 6*t^6.206 + 10*t^6.208 + 15*t^6.414 + 3*t^6.62 - 3*t^6.828 + 10*t^7.242 + 15*t^7.448 + 6*t^7.655 - 27*t^8.069 + 10*t^8.275 + 15*t^8.277 + 27*t^8.483 + 21*t^8.689 - 3*t^8.897 - t^4.242/y - (3*t^6.311)/y + (3*t^7.139)/y + (12*t^8.172)/y - (6*t^8.38)/y + (3*t^8.586)/y - t^4.242*y - 3*t^6.311*y + 3*t^7.139*y + 12*t^8.172*y - 6*t^8.38*y + 3*t^8.586*y	t^2.069/(g1*g2) + t^2.069/(g2*g3) + (g1*g3*t^2.069)/g2^8 + (g2^7*t^3.103)/g1 + (g2^7*t^3.103)/g3 + g1*g3*t^3.103 + g2^4*t^3.517 + (g1*t^4.139)/g2^9 + t^4.139/(g1^2*g2^2) + t^4.139/(g2^2*g3^2) + t^4.139/(g1*g2^2*g3) + (g3*t^4.139)/g2^9 + (g1^2*g3^2*t^4.139)/g2^16 + (g1^2*t^4.345)/g2^2 + (g2^5*t^4.345)/g1 + (g2^12*t^4.345)/(g1^2*g3^2) + (g2^5*t^4.345)/g3 + (g1*g3*t^4.345)/g2^2 + (g3^2*t^4.345)/g2^2 + (2*g1*t^5.172)/g2 + (g2^6*t^5.172)/g1^2 + (g2^6*t^5.172)/g3^2 + (2*g2^6*t^5.172)/(g1*g3) + (2*g3*t^5.172)/g2 + (g1^2*g3^2*t^5.172)/g2^8 + (g2^3*t^5.586)/g1 + (g2^3*t^5.586)/g3 + (g1*g3*t^5.586)/g2^4 - 3*t^6. - (g2^7*t^6.)/(g1*g3^2) - (g1*t^6.)/g3 - (g2^7*t^6.)/(g1^2*g3) - (g3*t^6.)/g1 - (g1^2*g3*t^6.)/g2^7 - (g1*g3^2*t^6.)/g2^7 + g1*g2^7*t^6.206 + (g2^14*t^6.206)/g1^2 + (g2^14*t^6.206)/g3^2 + (g2^14*t^6.206)/(g1*g3) + g2^7*g3*t^6.206 + g1^2*g3^2*t^6.206 + t^6.208/g2^10 + t^6.208/(g1^3*g2^3) + t^6.208/(g2^3*g3^3) + t^6.208/(g1*g2^3*g3^2) + (g1*t^6.208)/(g2^10*g3) + t^6.208/(g1^2*g2^3*g3) + (g1^2*g3*t^6.208)/g2^17 + (g3*t^6.208)/(g1*g2^10) + (g1*g3^2*t^6.208)/g2^17 + (g1^3*g3^3*t^6.208)/g2^24 + (2*g1*t^6.414)/g2^3 + (g2^4*t^6.414)/g1^2 + (g2^11*t^6.414)/(g1^2*g3^3) + (g2^4*t^6.414)/g3^2 + (g2^11*t^6.414)/(g1^3*g3^2) + (g1^2*t^6.414)/(g2^3*g3) + (2*g2^4*t^6.414)/(g1*g3) + (g1^3*g3*t^6.414)/g2^10 + (2*g3*t^6.414)/g2^3 + (g1^2*g3^2*t^6.414)/g2^10 + (g3^2*t^6.414)/(g1*g2^3) + (g1*g3^3*t^6.414)/g2^10 + (g2^11*t^6.62)/g1 + (g2^11*t^6.62)/g3 + g1*g2^4*g3*t^6.62 - (g2*t^6.828)/g1 - (g2*t^6.828)/g3 - (g1*g3*t^6.828)/g2^6 + t^7.242/g2^2 + (g2^5*t^7.242)/g1^3 + (g2^5*t^7.242)/g3^3 + (g2^5*t^7.242)/(g1*g3^2) + (g1*t^7.242)/(g2^2*g3) + (g2^5*t^7.242)/(g1^2*g3) + (g1^2*g3*t^7.242)/g2^9 + (g3*t^7.242)/(g1*g2^2) + (g1*g3^2*t^7.242)/g2^9 + (g1^3*g3^3*t^7.242)/g2^16 + 2*g1*g2^5*t^7.448 + (g2^12*t^7.448)/g1^2 + (g2^19*t^7.448)/(g1^2*g3^3) + (g2^12*t^7.448)/g3^2 + (g2^19*t^7.448)/(g1^3*g3^2) + (g1^2*g2^5*t^7.448)/g3 + (2*g2^12*t^7.448)/(g1*g3) + (g1^3*g3*t^7.448)/g2^2 + 2*g2^5*g3*t^7.448 + (g1^2*g3^2*t^7.448)/g2^2 + (g2^5*g3^2*t^7.448)/g1 + (g1*g3^3*t^7.448)/g2^2 + (g1*t^7.655)/g2^5 + (g2^2*t^7.655)/g1^2 + (g2^2*t^7.655)/g3^2 + (g2^2*t^7.655)/(g1*g3) + (g3*t^7.655)/g2^5 + (g1^2*g3^2*t^7.655)/g2^12 - (2*g1^2*t^8.069)/g2^8 - (5*t^8.069)/(g1*g2) - (g2^6*t^8.069)/(g1*g3^3) - (g1*t^8.069)/(g2*g3^2) - (2*g2^6*t^8.069)/(g1^2*g3^2) - (5*t^8.069)/(g2*g3) - (g2^6*t^8.069)/(g1^3*g3) - (5*g1*g3*t^8.069)/g2^8 - (g3*t^8.069)/(g1^2*g2) - (g1^3*g3^2*t^8.069)/g2^15 - (2*g3^2*t^8.069)/g2^8 - (g1^2*g3^3*t^8.069)/g2^15 + g2^6*t^8.275 + (g2^13*t^8.275)/g1^3 + (g2^13*t^8.275)/g3^3 + (g2^13*t^8.275)/(g1*g3^2) + (g1*g2^6*t^8.275)/g3 + (g2^13*t^8.275)/(g1^2*g3) + (g1^2*g3*t^8.275)/g2 + (g2^6*g3*t^8.275)/g1 + (g1*g3^2*t^8.275)/g2 + (g1^3*g3^3*t^8.275)/g2^8 + (g1^2*t^8.277)/g2^18 + t^8.277/(g1*g2^11) + t^8.277/(g1^4*g2^4) + t^8.277/(g2^4*g3^4) + t^8.277/(g1*g2^4*g3^3) + (g1*t^8.277)/(g2^11*g3^2) + t^8.277/(g1^2*g2^4*g3^2) + t^8.277/(g2^11*g3) + t^8.277/(g1^3*g2^4*g3) + (g1*g3*t^8.277)/g2^18 + (g3*t^8.277)/(g1^2*g2^11) + (g1^3*g3^2*t^8.277)/g2^25 + (g3^2*t^8.277)/g2^18 + (g1^2*g3^3*t^8.277)/g2^25 + (g1^4*g3^4*t^8.277)/g2^32 + (g1^3*t^8.483)/g2^11 + (3*t^8.483)/g2^4 + (g2^3*t^8.483)/g1^3 + (g2^10*t^8.483)/(g1^2*g3^4) + (g2^3*t^8.483)/g3^3 + (g2^10*t^8.483)/(g1^3*g3^3) + (g1^2*t^8.483)/(g2^4*g3^2) + (2*g2^3*t^8.483)/(g1*g3^2) + (g2^10*t^8.483)/(g1^4*g3^2) + (2*g1*t^8.483)/(g2^4*g3) + (2*g2^3*t^8.483)/(g1^2*g3) + (2*g1^2*g3*t^8.483)/g2^11 + (2*g3*t^8.483)/(g1*g2^4) + (g1^4*g3^2*t^8.483)/g2^18 + (2*g1*g3^2*t^8.483)/g2^11 + (g3^2*t^8.483)/(g1^2*g2^4) + (g1^3*g3^3*t^8.483)/g2^18 + (g3^3*t^8.483)/g2^11 + (g1^2*g3^4*t^8.483)/g2^18 + (g1^4*t^8.689)/g2^4 + 2*g1*g2^3*t^8.689 + (2*g2^10*t^8.689)/g1^2 + (g2^24*t^8.689)/(g1^4*g3^4) + (g2^17*t^8.689)/(g1^2*g3^3) + (2*g2^10*t^8.689)/g3^2 + (g2^17*t^8.689)/(g1^3*g3^2) + (g1^2*g2^3*t^8.689)/g3 + (2*g2^10*t^8.689)/(g1*g3) + (g1^3*g3*t^8.689)/g2^4 + 2*g2^3*g3*t^8.689 + (2*g1^2*g3^2*t^8.689)/g2^4 + (g2^3*g3^2*t^8.689)/g1 + (g1*g3^3*t^8.689)/g2^4 + (g3^4*t^8.689)/g2^4 - (g1*t^8.897)/g2^7 - t^8.897/(g1*g3) - (g3*t^8.897)/g2^7 - t^4.242/(g2^2*y) - t^6.311/(g1*g2^3*y) - t^6.311/(g2^3*g3*y) - (g1*g3*t^6.311)/(g2^10*y) + (g1*t^7.139)/(g2^9*y) + t^7.139/(g1*g2^2*g3*y) + (g3*t^7.139)/(g2^9*y) + (3*g1*t^8.172)/(g2*y) + (g2^6*t^8.172)/(g1^2*y) + (g2^6*t^8.172)/(g3^2*y) + (3*g2^6*t^8.172)/(g1*g3*y) + (3*g3*t^8.172)/(g2*y) + (g1^2*g3^2*t^8.172)/(g2^8*y) - (g1*t^8.38)/(g2^11*y) - t^8.38/(g1^2*g2^4*y) - t^8.38/(g2^4*g3^2*y) - t^8.38/(g1*g2^4*g3*y) - (g3*t^8.38)/(g2^11*y) - (g1^2*g3^2*t^8.38)/(g2^18*y) + (g2^3*t^8.586)/(g1*y) + (g2^3*t^8.586)/(g3*y) + (g1*g3*t^8.586)/(g2^4*y) - (t^4.242*y)/g2^2 - (t^6.311*y)/(g1*g2^3) - (t^6.311*y)/(g2^3*g3) - (g1*g3*t^6.311*y)/g2^10 + (g1*t^7.139*y)/g2^9 + (t^7.139*y)/(g1*g2^2*g3) + (g3*t^7.139*y)/g2^9 + (3*g1*t^8.172*y)/g2 + (g2^6*t^8.172*y)/g1^2 + (g2^6*t^8.172*y)/g3^2 + (3*g2^6*t^8.172*y)/(g1*g3) + (3*g3*t^8.172*y)/g2 + (g1^2*g3^2*t^8.172*y)/g2^8 - (g1*t^8.38*y)/g2^11 - (t^8.38*y)/(g1^2*g2^4) - (t^8.38*y)/(g2^4*g3^2) - (t^8.38*y)/(g1*g2^4*g3) - (g3*t^8.38*y)/g2^11 - (g1^2*g3^2*t^8.38*y)/g2^18 + (g2^3*t^8.586*y)/g1 + (g2^3*t^8.586*y)/g3 + (g1*g3*t^8.586*y)/g2^4

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
3071	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{5}q_{2}\tilde{q}_{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{1}M_{7}$ + ${ }M_{5}M_{8}$ + ${ }\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{3}^{2}$	0.6248	0.8112	0.7701	[M:[0.9671, 1.0164, 1.0, 0.7295, 1.2377, 0.7295, 1.0329, 0.7623], q:[0.5164, 0.5164], qb:[0.7541, 0.2459], phi:[0.4918]]	2*t^2.188 + 2*t^2.287 + t^2.951 + t^3. + t^3.049 + t^3.099 + 2*t^3.762 + 3*t^4.377 + 4*t^4.475 + 6*t^4.574 + 2*t^5.139 + 4*t^5.238 + 4*t^5.287 + 2*t^5.336 + 2*t^5.386 + t^5.901 + 4*t^5.951 - 4*t^6. - t^4.475/y - t^4.475*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
840	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{5}q_{2}\tilde{q}_{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{1}M_{7}$ + ${ }M_{5}M_{8}$	0.742	0.9005	0.8241	[M:[0.865, 1.1759, 0.7832, 0.7832, 0.865, 0.7832, 1.135, 1.135], q:[0.5675, 0.5675], qb:[0.6493, 0.5675], phi:[0.4121]]	3*t^2.35 + 3*t^3.405 + t^3.528 + 6*t^4.641 + 6*t^4.699 + 3*t^4.887 + t^5.132 + 6*t^5.754 + 3*t^5.877 - 10*t^6. - t^4.236/y - t^4.236*y	detail