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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 H0+H1 (not completed) E[USp(6)] (not completed) All theories Data used in arXiv:2408.02953

$a$ =

$c$ =

$\leq a \leq$

$\leq c \leq$

id =

Search for theories with rational R-charges and central 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
4970	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{5}q_{2}\tilde{q}_{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{6}$ + ${ }M_{1}^{2}$ + ${ }\phi_{1}q_{2}^{2}$ + ${ }M_{7}\phi_{1}q_{1}^{2}$ + ${ }M_{8}\phi_{1}q_{1}\tilde{q}_{2}$	0.6265	0.8153	0.7684	[M:[1.0, 1.0216, 0.9569, 1.2554, 0.7015, 0.7446, 1.0216, 0.723], q:[0.2446, 0.7554], qb:[0.5, 0.5431], phi:[0.4892]]	[M:[[0], [4], [-8], [1], [-9], [-1], [4], [-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
${}M_{5}$, ${ }M_{8}$, ${ }M_{6}$, ${ }q_{1}\tilde{q}_{2}$, ${ }M_{3}$, ${ }M_{1}$, ${ }M_{2}$, ${ }M_{7}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{4}$, ${ }M_{5}^{2}$, ${ }M_{5}M_{8}$, ${ }M_{5}M_{6}$, ${ }M_{8}^{2}$, ${ }M_{6}M_{8}$, ${ }M_{6}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{5}q_{1}\tilde{q}_{2}$, ${ }M_{8}q_{1}\tilde{q}_{2}$, ${ }M_{6}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }q_{1}^{2}\tilde{q}_{2}^{2}$, ${ }M_{3}M_{5}$, ${ }M_{3}M_{8}$, ${ }M_{1}M_{5}$, ${ }M_{3}M_{6}$, ${ }M_{2}M_{5}$, ${ }M_{5}M_{7}$, ${ }M_{1}M_{8}$, ${ }M_{1}M_{6}$, ${ }M_{2}M_{8}$, ${ }M_{7}M_{8}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{2}M_{6}$, ${ }M_{6}M_{7}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{2}q_{1}\tilde{q}_{2}$, ${ }M_{7}q_{1}\tilde{q}_{2}$, ${ }M_{3}^{2}$, ${ }M_{5}\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{1}M_{3}$, ${ }M_{4}M_{5}$, ${ }M_{8}\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{2}M_{3}$, ${ }M_{3}M_{7}$, ${ }M_{4}M_{8}$, ${ }M_{6}\phi_{1}q_{1}\tilde{q}_{1}$	${}$	-2	t^2.104 + t^2.169 + t^2.234 + t^2.363 + t^2.871 + t^3. + 2*t^3.065 + t^3.701 + t^3.766 + t^4.209 + t^4.273 + 2*t^4.338 + t^4.403 + 3*t^4.468 + t^4.532 + 2*t^4.597 + 2*t^4.727 + t^4.975 + t^5.04 + t^5.104 + 3*t^5.169 + 3*t^5.234 + 2*t^5.299 + t^5.363 + 2*t^5.428 + t^5.741 + t^5.806 + 2*t^5.871 + 3*t^5.935 - 2*t^6. + 2*t^6.065 + 2*t^6.129 + t^6.313 + t^6.378 + 2*t^6.443 + 2*t^6.507 + 4*t^6.572 + 3*t^6.637 + 3*t^6.701 + 2*t^6.766 + 4*t^6.831 + 2*t^6.96 + t^7.079 + 2*t^7.09 + t^7.144 + 2*t^7.209 + 3*t^7.273 + 4*t^7.338 + 5*t^7.403 + 3*t^7.468 + 4*t^7.532 + 2*t^7.597 + 2*t^7.662 + t^7.727 + 3*t^7.791 + t^7.845 + 2*t^7.91 + 2*t^7.975 + 4*t^8.04 + t^8.169 + t^8.234 + 2*t^8.299 - 2*t^8.363 + t^8.418 + t^8.428 + t^8.482 + 2*t^8.493 + 2*t^8.547 + 3*t^8.612 + 5*t^8.676 + 5*t^8.741 + 6*t^8.806 + 6*t^8.935 - t^4.468/y - t^6.572/y - t^6.637/y + t^7.273/y + (2*t^7.403)/y + t^7.468/y + (2*t^7.597)/y + t^7.975/y + t^8.04/y + (2*t^8.104)/y + (3*t^8.169)/y + (4*t^8.234)/y + (3*t^8.299)/y + (2*t^8.363)/y + (2*t^8.428)/y - t^8.676/y - t^8.741/y + (3*t^8.871)/y + (4*t^8.935)/y - t^4.468*y - t^6.572*y - t^6.637*y + t^7.273*y + 2*t^7.403*y + t^7.468*y + 2*t^7.597*y + t^7.975*y + t^8.04*y + 2*t^8.104*y + 3*t^8.169*y + 4*t^8.234*y + 3*t^8.299*y + 2*t^8.363*y + 2*t^8.428*y - t^8.676*y - t^8.741*y + 3*t^8.871*y + 4*t^8.935*y	t^2.104/g1^9 + t^2.169/g1^5 + t^2.234/g1 + g1^7*t^2.363 + t^2.871/g1^8 + t^3. + 2*g1^4*t^3.065 + t^3.701/g1^3 + g1*t^3.766 + t^4.209/g1^18 + t^4.273/g1^14 + (2*t^4.338)/g1^10 + t^4.403/g1^6 + (3*t^4.468)/g1^2 + g1^2*t^4.532 + 2*g1^6*t^4.597 + 2*g1^14*t^4.727 + t^4.975/g1^17 + t^5.04/g1^13 + t^5.104/g1^9 + (3*t^5.169)/g1^5 + (3*t^5.234)/g1 + 2*g1^3*t^5.299 + g1^7*t^5.363 + 2*g1^11*t^5.428 + t^5.741/g1^16 + t^5.806/g1^12 + (2*t^5.871)/g1^8 + (3*t^5.935)/g1^4 - 2*t^6. + 2*g1^4*t^6.065 + 2*g1^8*t^6.129 + t^6.313/g1^27 + t^6.378/g1^23 + (2*t^6.443)/g1^19 + (2*t^6.507)/g1^15 + (4*t^6.572)/g1^11 + (3*t^6.637)/g1^7 + (3*t^6.701)/g1^3 + 2*g1*t^6.766 + 4*g1^5*t^6.831 + 2*g1^13*t^6.96 + t^7.079/g1^26 + 2*g1^21*t^7.09 + t^7.144/g1^22 + (2*t^7.209)/g1^18 + (3*t^7.273)/g1^14 + (4*t^7.338)/g1^10 + (5*t^7.403)/g1^6 + (3*t^7.468)/g1^2 + 4*g1^2*t^7.532 + 2*g1^6*t^7.597 + 2*g1^10*t^7.662 + g1^14*t^7.727 + 3*g1^18*t^7.791 + t^7.845/g1^25 + (2*t^7.91)/g1^21 + (2*t^7.975)/g1^17 + (4*t^8.04)/g1^13 + t^8.169/g1^5 + t^8.234/g1 + 2*g1^3*t^8.299 - 2*g1^7*t^8.363 + t^8.418/g1^36 + g1^11*t^8.428 + t^8.482/g1^32 + 2*g1^15*t^8.493 + (2*t^8.547)/g1^28 + (3*t^8.612)/g1^24 + (5*t^8.676)/g1^20 + (5*t^8.741)/g1^16 + (6*t^8.806)/g1^12 + (6*t^8.935)/g1^4 - t^4.468/(g1^2*y) - t^6.572/(g1^11*y) - t^6.637/(g1^7*y) + t^7.273/(g1^14*y) + (2*t^7.403)/(g1^6*y) + t^7.468/(g1^2*y) + (2*g1^6*t^7.597)/y + t^7.975/(g1^17*y) + t^8.04/(g1^13*y) + (2*t^8.104)/(g1^9*y) + (3*t^8.169)/(g1^5*y) + (4*t^8.234)/(g1*y) + (3*g1^3*t^8.299)/y + (2*g1^7*t^8.363)/y + (2*g1^11*t^8.428)/y - t^8.676/(g1^20*y) - t^8.741/(g1^16*y) + (3*t^8.871)/(g1^8*y) + (4*t^8.935)/(g1^4*y) - (t^4.468*y)/g1^2 - (t^6.572*y)/g1^11 - (t^6.637*y)/g1^7 + (t^7.273*y)/g1^14 + (2*t^7.403*y)/g1^6 + (t^7.468*y)/g1^2 + 2*g1^6*t^7.597*y + (t^7.975*y)/g1^17 + (t^8.04*y)/g1^13 + (2*t^8.104*y)/g1^9 + (3*t^8.169*y)/g1^5 + (4*t^8.234*y)/g1 + 3*g1^3*t^8.299*y + 2*g1^7*t^8.363*y + 2*g1^11*t^8.428*y - (t^8.676*y)/g1^20 - (t^8.741*y)/g1^16 + (3*t^8.871*y)/g1^8 + (4*t^8.935*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
3066	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{5}q_{2}\tilde{q}_{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{6}$ + ${ }M_{1}^{2}$ + ${ }\phi_{1}q_{2}^{2}$ + ${ }M_{7}\phi_{1}q_{1}^{2}$	0.6065	0.7781	0.7795	[M:[1.0, 1.0179, 0.9643, 1.2545, 0.7098, 0.7455, 1.0179], q:[0.2455, 0.7545], qb:[0.5, 0.5357], phi:[0.4911]]	t^2.129 + t^2.237 + t^2.344 + t^2.893 + t^3. + 2*t^3.054 + t^3.71 + t^3.763 + t^3.817 + t^4.259 + t^4.366 + 3*t^4.473 + 2*t^4.58 + 2*t^4.688 + t^5.022 + t^5.129 + 2*t^5.183 + t^5.237 + 2*t^5.29 + t^5.344 + 2*t^5.397 + t^5.786 + t^5.839 + t^5.893 + 3*t^5.946 - 2*t^6. - t^4.473/y - t^4.473*y	detail