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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 =

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
46784	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$	0.7026	0.8611	0.8159	[M:[1.0181, 0.8739, 0.9819, 1.054, 0.946], q:[0.527, 0.4549], qb:[0.5991, 0.4911], phi:[0.482]]	[M:[[4, 12], [-20, 4], [-4, -12], [8, -8], [-8, 8]], q:[[4, -4], [-8, -8]], qb:[[16, 0], [0, 16]], phi:[[-3, -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
${}M_{2}$, ${ }M_{5}$, ${ }\phi_{1}^{2}$, ${ }M_{3}$, ${ }M_{1}$, ${ }M_{4}$, ${ }\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{2}^{2}$, ${ }M_{2}M_{5}$, ${ }M_{2}\phi_{1}^{2}$, ${ }M_{1}M_{2}$, ${ }M_{5}^{2}$, ${ }M_{5}\phi_{1}^{2}$, ${ }M_{2}M_{4}$, ${ }M_{3}M_{5}$, ${ }\phi_{1}^{4}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{1}M_{5}$, ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{1}\phi_{1}^{2}$	${}$	-2	t^2.622 + t^2.838 + t^2.892 + t^2.946 + t^3.054 + t^3.162 + t^3.271 + t^4.175 + t^4.284 + t^4.391 + t^4.393 + t^4.5 + 2*t^4.608 + t^4.717 + t^4.824 + t^5.041 + t^5.243 + t^5.46 + t^5.513 + t^5.676 + t^5.73 + t^5.784 + t^5.837 + t^5.892 + t^5.946 - 2*t^6. + t^6.054 + t^6.109 + t^6.163 - t^6.216 + t^6.325 + t^6.542 + t^6.797 + t^6.906 + t^7.013 + t^7.014 + t^7.067 + t^7.121 + t^7.122 + t^7.176 + 2*t^7.23 + t^7.231 + t^7.285 + t^7.337 + 2*t^7.338 + 2*t^7.446 + t^7.447 + t^7.5 - t^7.501 + t^7.553 + 2*t^7.555 + 2*t^7.662 + t^7.664 - t^7.716 + t^7.77 + t^7.771 - t^7.825 + t^7.865 + 2*t^7.879 + t^7.986 + t^7.987 + t^8.081 + t^8.095 + t^8.135 - t^8.149 + t^8.203 + t^8.298 + t^8.311 + t^8.35 + t^8.351 + t^8.405 + t^8.459 - t^8.513 + t^8.514 + t^8.567 + 2*t^8.568 - 2*t^8.622 + 2*t^8.675 + t^8.677 - t^8.729 + 2*t^8.783 + 2*t^8.784 + t^8.786 - 4*t^8.838 + t^8.893 - 3*t^8.946 + 2*t^8.999 - t^4.446/y - t^7.068/y - t^7.338/y + t^7.554/y + t^7.824/y + t^8.46/y + t^8.513/y + t^8.567/y + t^8.676/y + t^8.73/y + (2*t^8.784)/y + t^8.837/y + (2*t^8.892)/y + t^8.946/y - t^4.446*y - t^7.068*y - t^7.338*y + t^7.554*y + t^7.824*y + t^8.46*y + t^8.513*y + t^8.567*y + t^8.676*y + t^8.73*y + 2*t^8.784*y + t^8.837*y + 2*t^8.892*y + t^8.946*y	(g2^4*t^2.622)/g1^20 + (g2^8*t^2.838)/g1^8 + t^2.892/(g1^6*g2^2) + t^2.946/(g1^4*g2^12) + g1^4*g2^12*t^3.054 + (g1^8*t^3.162)/g2^8 + g1^16*g2^16*t^3.271 + t^4.175/(g1^19*g2^17) + (g2^7*t^4.284)/g1^11 + t^4.391/(g1^7*g2^13) + (g2^31*t^4.393)/g1^3 + g1*g2^11*t^4.5 + (2*g1^5*t^4.608)/g2^9 + g1^13*g2^15*t^4.717 + (g1^17*t^4.824)/g2^5 + (g1^29*t^5.041)/g2 + (g2^8*t^5.243)/g1^40 + (g2^12*t^5.46)/g1^28 + (g2^2*t^5.513)/g1^26 + (g2^16*t^5.676)/g1^16 + (g2^6*t^5.73)/g1^14 + t^5.784/(g1^12*g2^4) + t^5.837/(g1^10*g2^14) + (g2^20*t^5.892)/g1^4 + (g2^10*t^5.946)/g1^2 - 2*t^6. + (g1^2*t^6.054)/g2^10 + g1^8*g2^24*t^6.109 + g1^10*g2^14*t^6.163 - g1^12*g2^4*t^6.216 + g1^20*g2^28*t^6.325 + g1^32*g2^32*t^6.542 + t^6.797/(g1^39*g2^13) + (g2^11*t^6.906)/g1^31 + t^7.013/(g1^27*g2^9) + (g2^35*t^7.014)/g1^23 + t^7.067/(g1^25*g2^19) + t^7.121/(g1^23*g2^29) + (g2^15*t^7.122)/g1^19 + (g2^5*t^7.176)/g1^17 + (2*t^7.23)/(g1^15*g2^5) + (g2^39*t^7.231)/g1^11 + (g2^29*t^7.285)/g1^9 + t^7.337/(g1^11*g2^25) + (2*g2^19*t^7.338)/g1^7 + (2*t^7.446)/(g1^3*g2) + g1*g2^43*t^7.447 + t^7.5/(g1*g2^11) - g1^3*g2^33*t^7.501 + (g1*t^7.553)/g2^21 + 2*g1^5*g2^23*t^7.555 + 2*g1^9*g2^3*t^7.662 + g1^13*g2^47*t^7.664 - (g1^11*t^7.716)/g2^7 + (g1^13*t^7.77)/g2^17 + g1^17*g2^27*t^7.771 - g1^19*g2^17*t^7.825 + (g2^12*t^7.865)/g1^60 + 2*g1^21*g2^7*t^7.879 + (g1^25*t^7.986)/g2^13 + g1^29*g2^31*t^7.987 + (g2^16*t^8.081)/g1^48 + g1^33*g2^11*t^8.095 + (g2^6*t^8.135)/g1^46 - g1^35*g2*t^8.149 + (g1^37*t^8.203)/g2^9 + (g2^20*t^8.298)/g1^36 + g1^45*g2^15*t^8.311 + t^8.35/(g1^38*g2^34) + (g2^10*t^8.351)/g1^34 + t^8.405/g1^32 + t^8.459/(g1^30*g2^10) - t^8.513/(g1^28*g2^20) + (g2^24*t^8.514)/g1^24 + t^8.567/(g1^26*g2^30) + (2*g2^14*t^8.568)/g1^22 - (2*g2^4*t^8.622)/g1^20 + (2*t^8.675)/(g1^18*g2^6) + (g2^38*t^8.677)/g1^14 - t^8.729/(g1^16*g2^16) + (2*t^8.783)/(g1^14*g2^26) + (2*g2^18*t^8.784)/g1^10 + (g2^62*t^8.786)/g1^6 - (4*g2^8*t^8.838)/g1^8 + (g2^42*t^8.893)/g1^2 - (3*t^8.946)/(g1^4*g2^12) + (2*t^8.999)/(g1^2*g2^22) - t^4.446/(g1^3*g2*y) - (g2^3*t^7.068)/(g1^23*y) - t^7.338/(g1^9*g2^3*y) + (g1^3*g2*t^7.554)/y + (g1^17*t^7.824)/(g2^5*y) + (g2^12*t^8.46)/(g1^28*y) + (g2^2*t^8.513)/(g1^26*y) + t^8.567/(g1^24*g2^8*y) + (g2^16*t^8.676)/(g1^16*y) + (g2^6*t^8.73)/(g1^14*y) + (2*t^8.784)/(g1^12*g2^4*y) + t^8.837/(g1^10*g2^14*y) + (2*g2^20*t^8.892)/(g1^4*y) + (g2^10*t^8.946)/(g1^2*y) - (t^4.446*y)/(g1^3*g2) - (g2^3*t^7.068*y)/g1^23 - (t^7.338*y)/(g1^9*g2^3) + g1^3*g2*t^7.554*y + (g1^17*t^7.824*y)/g2^5 + (g2^12*t^8.46*y)/g1^28 + (g2^2*t^8.513*y)/g1^26 + (t^8.567*y)/(g1^24*g2^8) + (g2^16*t^8.676*y)/g1^16 + (g2^6*t^8.73*y)/g1^14 + (2*t^8.784*y)/(g1^12*g2^4) + (t^8.837*y)/(g1^10*g2^14) + (2*g2^20*t^8.892*y)/g1^4 + (g2^10*t^8.946*y)/g1^2

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
47092	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{1}M_{6}$	0.7054	0.8656	0.815	[M:[1.0419, 0.8743, 0.9581, 1.0419, 0.9581, 0.9581], q:[0.521, 0.4371], qb:[0.6048, 0.521], phi:[0.479]]	t^2.623 + 4*t^2.874 + t^3.126 + t^3.377 + t^4.06 + 2*t^4.311 + 4*t^4.563 + 2*t^4.814 + t^5.066 + t^5.246 + 3*t^5.497 + 7*t^5.749 - t^6. - t^4.437/y - t^4.437*y	detail
48233	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{4}M_{6}$	0.7087	0.8731	0.8117	[M:[1.0071, 0.841, 0.9929, 1.076, 0.924, 0.924], q:[0.538, 0.4549], qb:[0.6211, 0.4692], phi:[0.4792]]	t^2.523 + 2*t^2.772 + t^2.875 + t^2.979 + t^3.021 + t^3.271 + t^4.167 + t^4.21 + t^4.253 + t^4.416 + t^4.459 + 2*t^4.666 + t^4.708 + t^4.915 + t^5.046 + t^5.164 + 2*t^5.295 + t^5.398 + 3*t^5.544 + 2*t^5.648 + t^5.751 + 2*t^5.794 + t^5.854 + t^5.897 - 3*t^6. - t^4.438/y - t^4.438*y	detail
47177	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{5}M_{6}$	0.6987	0.854	0.8181	[M:[1.0303, 0.9091, 0.9697, 1.0303, 0.9697, 1.0303], q:[0.5152, 0.4545], qb:[0.5758, 0.5152], phi:[0.4848]]	t^2.727 + 2*t^2.909 + 3*t^3.091 + t^3.273 + t^4.182 + 2*t^4.364 + 4*t^4.545 + 2*t^4.727 + t^4.909 + t^5.455 + t^5.636 + 2*t^5.818 + t^6. - t^4.455/y - t^4.455*y	detail	{a: 2029/2904, c: 310/363, M1: 34/33, M2: 10/11, M3: 32/33, M4: 34/33, M5: 32/33, M6: 34/33, q1: 17/33, q2: 5/11, qb1: 19/33, qb2: 17/33, phi1: 16/33}
46828	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{5}^{2}$	0.697	0.8525	0.8176	[M:[1.0463, 0.9537, 0.9537, 1.0, 1.0], q:[0.5, 0.4537], qb:[0.5463, 0.5463], phi:[0.4884]]	2*t^2.861 + t^2.93 + 2*t^3. + t^3.139 + t^3.278 + t^4.187 + t^4.326 + 3*t^4.465 + 2*t^4.604 + 3*t^4.743 + t^5.722 + 2*t^5.791 + 2*t^5.861 + 2*t^5.93 - t^6. - t^4.465/y - t^4.465*y	detail
47054	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$	0.6303	0.778	0.8102	[M:[1.2039, 1.0252, 0.7961, 0.8855, 1.1145], q:[0.4427, 0.3534], qb:[0.5321, 0.7612], phi:[0.4777]]	t^2.388 + t^2.656 + t^2.866 + t^3.075 + t^3.344 + t^3.553 + t^3.612 + t^3.821 + t^3.88 + 2*t^4.089 + t^4.357 + t^4.626 + t^4.777 + t^5.045 + t^5.254 + t^5.313 + t^5.522 + t^5.732 + 2*t^5.941 - t^6. - t^4.433/y - t^4.433*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
46128	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$	0.7297	0.8972	0.8133	[M:[0.9845, 0.8794, 1.0155, 0.9008, 0.7647], q:[0.4504, 0.5651], qb:[0.6702, 0.5341], phi:[0.445]]	t^2.294 + t^2.638 + t^2.67 + t^2.702 + t^2.954 + t^3.046 + t^3.613 + t^4.037 + t^4.289 + t^4.382 + t^4.54 + t^4.588 + t^4.633 + t^4.697 + t^4.726 + t^4.932 + t^4.948 + t^4.964 + t^4.996 + t^5.041 + t^5.248 + t^5.277 + t^5.309 + 2*t^5.341 + t^5.356 + t^5.373 + t^5.405 + t^5.624 + t^5.717 + t^5.907 - 3*t^6. - t^4.335/y - t^4.335*y	detail