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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
3067	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{5}q_{2}\tilde{q}_{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{6}$ + ${ }M_{1}^{2}$ + ${ }\phi_{1}q_{2}^{2}$ + ${ }M_{7}\phi_{1}q_{1}\tilde{q}_{2}$	0.6289	0.8202	0.7668	[M:[1.0, 1.0304, 0.9392, 1.2576, 0.6816, 0.7424, 0.712], q:[0.2424, 0.7576], qb:[0.5, 0.5608], phi:[0.4848]]	[M:[[0], [4], [-8], [1], [-9], [-1], [-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
${}M_{5}$, ${ }M_{7}$, ${ }M_{6}$, ${ }q_{1}\tilde{q}_{2}$, ${ }M_{3}$, ${ }\phi_{1}q_{1}^{2}$, ${ }M_{1}$, ${ }M_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{4}$, ${ }M_{5}^{2}$, ${ }M_{5}M_{7}$, ${ }M_{5}M_{6}$, ${ }M_{7}^{2}$, ${ }M_{6}M_{7}$, ${ }M_{6}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{5}q_{1}\tilde{q}_{2}$, ${ }M_{7}q_{1}\tilde{q}_{2}$, ${ }M_{6}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }q_{1}^{2}\tilde{q}_{2}^{2}$, ${ }M_{3}M_{5}$, ${ }M_{3}M_{7}$, ${ }M_{5}\phi_{1}q_{1}^{2}$, ${ }M_{1}M_{5}$, ${ }M_{3}M_{6}$, ${ }M_{7}\phi_{1}q_{1}^{2}$, ${ }M_{2}M_{5}$, ${ }M_{1}M_{7}$, ${ }M_{6}\phi_{1}q_{1}^{2}$, ${ }M_{1}M_{6}$, ${ }M_{2}M_{7}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{2}M_{6}$, ${ }\phi_{1}q_{1}^{3}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{2}q_{1}\tilde{q}_{2}$, ${ }M_{3}^{2}$, ${ }M_{3}\phi_{1}q_{1}^{2}$, ${ }M_{5}\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{1}M_{3}$, ${ }M_{4}M_{5}$, ${ }\phi_{1}^{2}q_{1}^{4}$, ${ }M_{7}\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{2}M_{3}$, ${ }M_{4}M_{7}$, ${ }M_{6}\phi_{1}q_{1}\tilde{q}_{1}$	${}$	-1	t^2.045 + t^2.136 + t^2.227 + t^2.41 + t^2.818 + t^2.909 + t^3. + t^3.091 + t^3.682 + t^3.773 + t^4.09 + t^4.181 + 2*t^4.272 + t^4.363 + 3*t^4.454 + t^4.546 + 2*t^4.637 + 2*t^4.819 + t^4.863 + 2*t^4.954 + 2*t^5.045 + 3*t^5.136 + 2*t^5.227 + 2*t^5.318 + t^5.41 + t^5.501 + t^5.635 + 2*t^5.727 + 3*t^5.818 + 3*t^5.909 - t^6. + t^6.091 + t^6.135 + t^6.226 + 2*t^6.317 + 2*t^6.408 + 4*t^6.499 + 4*t^6.59 + 4*t^6.682 + t^6.773 + 3*t^6.864 + t^6.907 + 2*t^6.999 + 2*t^7.046 + 3*t^7.09 + 4*t^7.181 + 2*t^7.229 + 4*t^7.272 + 6*t^7.363 + 3*t^7.454 + 3*t^7.546 + t^7.637 + t^7.68 + 2*t^7.728 + 3*t^7.771 + t^7.819 + 4*t^7.863 + t^7.91 + 5*t^7.954 + 2*t^8.045 + 2*t^8.136 + t^8.18 + t^8.271 + 2*t^8.362 - 3*t^8.41 + 3*t^8.453 + 6*t^8.544 + 7*t^8.635 + 8*t^8.727 + 2*t^8.818 + 3*t^8.909 + t^8.952 - t^4.454/y - t^6.499/y - t^6.59/y + t^7.181/y + t^7.363/y + t^7.454/y + t^7.546/y + (2*t^7.637)/y + t^7.863/y + (2*t^7.954)/y + (3*t^8.045)/y + (3*t^8.136)/y + (3*t^8.227)/y + (3*t^8.318)/y + (2*t^8.41)/y + t^8.501/y - t^8.544/y - t^8.635/y + t^8.727/y + (3*t^8.818)/y + (4*t^8.909)/y - t^4.454*y - t^6.499*y - t^6.59*y + t^7.181*y + t^7.363*y + t^7.454*y + t^7.546*y + 2*t^7.637*y + t^7.863*y + 2*t^7.954*y + 3*t^8.045*y + 3*t^8.136*y + 3*t^8.227*y + 3*t^8.318*y + 2*t^8.41*y + t^8.501*y - t^8.544*y - t^8.635*y + t^8.727*y + 3*t^8.818*y + 4*t^8.909*y	t^2.045/g1^9 + t^2.136/g1^5 + t^2.227/g1 + g1^7*t^2.41 + t^2.818/g1^8 + t^2.909/g1^4 + t^3. + g1^4*t^3.091 + t^3.682/g1^3 + g1*t^3.773 + t^4.09/g1^18 + t^4.181/g1^14 + (2*t^4.272)/g1^10 + t^4.363/g1^6 + (3*t^4.454)/g1^2 + g1^2*t^4.546 + 2*g1^6*t^4.637 + 2*g1^14*t^4.819 + t^4.863/g1^17 + (2*t^4.954)/g1^13 + (2*t^5.045)/g1^9 + (3*t^5.136)/g1^5 + (2*t^5.227)/g1 + 2*g1^3*t^5.318 + g1^7*t^5.41 + g1^11*t^5.501 + t^5.635/g1^16 + (2*t^5.727)/g1^12 + (3*t^5.818)/g1^8 + (3*t^5.909)/g1^4 - t^6. + g1^4*t^6.091 + t^6.135/g1^27 + t^6.226/g1^23 + (2*t^6.317)/g1^19 + (2*t^6.408)/g1^15 + (4*t^6.499)/g1^11 + (4*t^6.59)/g1^7 + (4*t^6.682)/g1^3 + g1*t^6.773 + 3*g1^5*t^6.864 + t^6.907/g1^26 + (2*t^6.999)/g1^22 + 2*g1^13*t^7.046 + (3*t^7.09)/g1^18 + (4*t^7.181)/g1^14 + 2*g1^21*t^7.229 + (4*t^7.272)/g1^10 + (6*t^7.363)/g1^6 + (3*t^7.454)/g1^2 + 3*g1^2*t^7.546 + g1^6*t^7.637 + t^7.68/g1^25 + 2*g1^10*t^7.728 + (3*t^7.771)/g1^21 + g1^14*t^7.819 + (4*t^7.863)/g1^17 + g1^18*t^7.91 + (5*t^7.954)/g1^13 + (2*t^8.045)/g1^9 + (2*t^8.136)/g1^5 + t^8.18/g1^36 + t^8.271/g1^32 + (2*t^8.362)/g1^28 - 3*g1^7*t^8.41 + (3*t^8.453)/g1^24 + (6*t^8.544)/g1^20 + (7*t^8.635)/g1^16 + (8*t^8.727)/g1^12 + (2*t^8.818)/g1^8 + (3*t^8.909)/g1^4 + t^8.952/g1^35 - t^4.454/(g1^2*y) - t^6.499/(g1^11*y) - t^6.59/(g1^7*y) + t^7.181/(g1^14*y) + t^7.363/(g1^6*y) + t^7.454/(g1^2*y) + (g1^2*t^7.546)/y + (2*g1^6*t^7.637)/y + t^7.863/(g1^17*y) + (2*t^7.954)/(g1^13*y) + (3*t^8.045)/(g1^9*y) + (3*t^8.136)/(g1^5*y) + (3*t^8.227)/(g1*y) + (3*g1^3*t^8.318)/y + (2*g1^7*t^8.41)/y + (g1^11*t^8.501)/y - t^8.544/(g1^20*y) - t^8.635/(g1^16*y) + t^8.727/(g1^12*y) + (3*t^8.818)/(g1^8*y) + (4*t^8.909)/(g1^4*y) - (t^4.454*y)/g1^2 - (t^6.499*y)/g1^11 - (t^6.59*y)/g1^7 + (t^7.181*y)/g1^14 + (t^7.363*y)/g1^6 + (t^7.454*y)/g1^2 + g1^2*t^7.546*y + 2*g1^6*t^7.637*y + (t^7.863*y)/g1^17 + (2*t^7.954*y)/g1^13 + (3*t^8.045*y)/g1^9 + (3*t^8.136*y)/g1^5 + (3*t^8.227*y)/g1 + 3*g1^3*t^8.318*y + 2*g1^7*t^8.41*y + g1^11*t^8.501*y - (t^8.544*y)/g1^20 - (t^8.635*y)/g1^16 + (t^8.727*y)/g1^12 + (3*t^8.818*y)/g1^8 + (4*t^8.909*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
2015	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{5}q_{2}\tilde{q}_{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{6}$ + ${ }M_{1}^{2}$ + ${ }\phi_{1}q_{2}^{2}$	0.6087	0.7818	0.7785	[M:[1.0, 1.0274, 0.9453, 1.2568, 0.6884, 0.7432], q:[0.2432, 0.7568], qb:[0.5, 0.5547], phi:[0.4863]]	t^2.065 + t^2.229 + t^2.394 + t^2.836 + t^2.918 + t^3. + t^3.082 + t^3.688 + t^3.771 + t^3.853 + t^4.13 + t^4.295 + 3*t^4.459 + 2*t^4.623 + 2*t^4.787 + t^4.901 + t^4.983 + t^5.065 + 2*t^5.147 + t^5.229 + 2*t^5.312 + t^5.394 + t^5.476 + t^5.672 + 2*t^5.754 + 2*t^5.836 + 3*t^5.918 - t^6. - t^4.459/y - t^4.459*y	detail