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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(3): 1 Adj + 1 fund + 1 anti-fund SU(3): 1 Adj + 2 fund + 2 anti-fund (not completed) SU(4): 1 rank-2 symm + 1 rank-2 anti-symm + conj. 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(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(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(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 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
85	SU2adj1nf2	${}\phi_{1}q_{1}^{2}$ + ${ }\phi_{1}q_{2}^{2}$ + ${ }M_{1}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}\tilde{q}_{1}^{2}$	0.6485	0.7964	0.8143	[M:[0.7044, 0.6901], q:[0.8239, 0.8239], qb:[0.4788, 0.4646], phi:[0.3522]]	[M:[[-4, -4], [-10, 2]], q:[[1, 1], [1, 1]], qb:[[6, 0], [0, 6]], phi:[[-2, -2]]]	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
${}M_{2}$, ${ }M_{1}$, ${ }\phi_{1}^{2}$, ${ }\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }q_{2}\tilde{q}_{2}$, ${ }q_{1}\tilde{q}_{1}$, ${ }q_{2}\tilde{q}_{1}$, ${ }M_{2}^{2}$, ${ }M_{1}M_{2}$, ${ }M_{2}\phi_{1}^{2}$, ${ }M_{1}^{2}$, ${ }M_{1}\phi_{1}^{2}$, ${ }\phi_{1}^{4}$, ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{1}q_{2}$, ${ }M_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\tilde{q}_{1}^{2}\tilde{q}_{2}^{2}$, ${ }M_{2}\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{2}q_{1}\tilde{q}_{2}$, ${ }M_{2}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}^{3}\tilde{q}_{2}^{2}$, ${ }M_{2}q_{1}\tilde{q}_{1}$, ${ }M_{2}q_{2}\tilde{q}_{1}$, ${ }M_{1}q_{1}\tilde{q}_{2}$, ${ }M_{1}q_{2}\tilde{q}_{2}$	${}$	-3	t^2.07 + 2*t^2.113 + t^2.83 + t^3.844 + 2*t^3.865 + 2*t^3.908 + t^4.141 + 2*t^4.184 + 3*t^4.226 + t^4.901 + 3*t^4.943 + t^5.66 + t^5.914 + 2*t^5.936 + t^5.957 + 4*t^5.979 - 3*t^6. + 2*t^6.021 - t^6.043 + t^6.211 + 2*t^6.254 + 3*t^6.297 + 4*t^6.34 + t^6.674 + 2*t^6.696 + 2*t^6.738 + t^6.971 + 2*t^7.014 - 2*t^7.035 + 3*t^7.057 - 2*t^7.078 - t^7.099 + t^7.688 + 2*t^7.709 + 3*t^7.731 + 4*t^7.774 - 2*t^7.795 + 2*t^7.816 + t^7.985 + 2*t^8.006 + t^8.028 + 4*t^8.049 - 2*t^8.07 + 4*t^8.092 - 6*t^8.113 + 2*t^8.135 - 2*t^8.156 + t^8.281 + 2*t^8.324 + 3*t^8.367 + 4*t^8.41 + 5*t^8.453 + t^8.491 + t^8.745 + 2*t^8.766 + t^8.787 + 4*t^8.809 - 5*t^8.83 + 2*t^8.852 - 2*t^8.873 - t^4.057/y - t^6.127/y - (2*t^6.17)/y + (2*t^7.184)/y + t^7.226/y + t^7.901/y + (4*t^7.943)/y + t^7.986/y - t^8.197/y - (2*t^8.24)/y - (3*t^8.283)/y + t^8.914/y + (2*t^8.936)/y + (2*t^8.957)/y + (6*t^8.979)/y - t^4.057*y - t^6.127*y - 2*t^6.17*y + 2*t^7.184*y + t^7.226*y + t^7.901*y + 4*t^7.943*y + t^7.986*y - t^8.197*y - 2*t^8.24*y - 3*t^8.283*y + t^8.914*y + 2*t^8.936*y + 2*t^8.957*y + 6*t^8.979*y	(g2^2*t^2.07)/g1^10 + (2*t^2.113)/(g1^4*g2^4) + g1^6*g2^6*t^2.83 + (g2^10*t^3.844)/g1^2 + 2*g1*g2^7*t^3.865 + 2*g1^7*g2*t^3.908 + (g2^4*t^4.141)/g1^20 + (2*t^4.184)/(g1^14*g2^2) + (3*t^4.226)/(g1^8*g2^8) + (g2^8*t^4.901)/g1^4 + 3*g1^2*g2^2*t^4.943 + g1^12*g2^12*t^5.66 + (g2^12*t^5.914)/g1^12 + (2*g2^9*t^5.936)/g1^9 + (g2^6*t^5.957)/g1^6 + (4*g2^3*t^5.979)/g1^3 - 3*t^6. + (2*g1^3*t^6.021)/g2^3 - (g1^6*t^6.043)/g2^6 + (g2^6*t^6.211)/g1^30 + (2*t^6.254)/g1^24 + (3*t^6.297)/(g1^18*g2^6) + (4*t^6.34)/(g1^12*g2^12) + g1^4*g2^16*t^6.674 + 2*g1^7*g2^13*t^6.696 + 2*g1^13*g2^7*t^6.738 + (g2^10*t^6.971)/g1^14 + (2*g2^4*t^7.014)/g1^8 - (2*g2*t^7.035)/g1^5 + (3*t^7.057)/(g1^2*g2^2) - (2*g1*t^7.078)/g2^5 - (g1^4*t^7.099)/g2^8 + (g2^20*t^7.688)/g1^4 + (2*g2^17*t^7.709)/g1 + 3*g1^2*g2^14*t^7.731 + 4*g1^8*g2^8*t^7.774 - 2*g1^11*g2^5*t^7.795 + 2*g1^14*g2^2*t^7.816 + (g2^14*t^7.985)/g1^22 + (2*g2^11*t^8.006)/g1^19 + (g2^8*t^8.028)/g1^16 + (4*g2^5*t^8.049)/g1^13 - (2*g2^2*t^8.07)/g1^10 + (4*t^8.092)/(g1^7*g2) - (6*t^8.113)/(g1^4*g2^4) + (2*t^8.135)/(g1*g2^7) - (2*g1^2*t^8.156)/g2^10 + (g2^8*t^8.281)/g1^40 + (2*g2^2*t^8.324)/g1^34 + (3*t^8.367)/(g1^28*g2^4) + (4*t^8.41)/(g1^22*g2^10) + (5*t^8.453)/(g1^16*g2^16) + g1^18*g2^18*t^8.491 + (g2^18*t^8.745)/g1^6 + (2*g2^15*t^8.766)/g1^3 + g2^12*t^8.787 + 4*g1^3*g2^9*t^8.809 - 5*g1^6*g2^6*t^8.83 + 2*g1^9*g2^3*t^8.852 - 2*g1^12*t^8.873 - t^4.057/(g1^2*g2^2*y) - t^6.127/(g1^12*y) - (2*t^6.17)/(g1^6*g2^6*y) + (2*t^7.184)/(g1^14*g2^2*y) + t^7.226/(g1^8*g2^8*y) + (g2^8*t^7.901)/(g1^4*y) + (4*g1^2*g2^2*t^7.943)/y + (g1^8*t^7.986)/(g2^4*y) - (g2^2*t^8.197)/(g1^22*y) - (2*t^8.24)/(g1^16*g2^4*y) - (3*t^8.283)/(g1^10*g2^10*y) + (g2^12*t^8.914)/(g1^12*y) + (2*g2^9*t^8.936)/(g1^9*y) + (2*g2^6*t^8.957)/(g1^6*y) + (6*g2^3*t^8.979)/(g1^3*y) - (t^4.057*y)/(g1^2*g2^2) - (t^6.127*y)/g1^12 - (2*t^6.17*y)/(g1^6*g2^6) + (2*t^7.184*y)/(g1^14*g2^2) + (t^7.226*y)/(g1^8*g2^8) + (g2^8*t^7.901*y)/g1^4 + 4*g1^2*g2^2*t^7.943*y + (g1^8*t^7.986*y)/g2^4 - (g2^2*t^8.197*y)/g1^22 - (2*t^8.24*y)/(g1^16*g2^4) - (3*t^8.283*y)/(g1^10*g2^10) + (g2^12*t^8.914*y)/g1^12 + (2*g2^9*t^8.936*y)/g1^9 + (2*g2^6*t^8.957*y)/g1^6 + (6*g2^3*t^8.979*y)/g1^3

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
139	${}\phi_{1}q_{1}^{2}$ + ${ }\phi_{1}q_{2}^{2}$ + ${ }M_{1}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{2}\phi_{1}\tilde{q}_{2}^{2}$	0.6484	0.7953	0.8152	[M:[0.7026, 0.7026], q:[0.8244, 0.8244], qb:[0.4731, 0.4731], phi:[0.3513]]	3*t^2.108 + t^2.839 + 5*t^3.892 + 6*t^4.215 + 4*t^4.946 + t^5.677 + 6*t^6. - t^4.054/y - t^4.054*y	detail
140	${}\phi_{1}q_{1}^{2}$ + ${ }\phi_{1}q_{2}^{2}$ + ${ }M_{1}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{2}^{2}$	0.5957	0.7299	0.8162	[M:[0.7645, 1.0], q:[0.8089, 0.8089], qb:[0.3089, 0.5443], phi:[0.3823]]	2*t^2.294 + t^2.56 + t^3. + 2*t^3.353 + 2*t^4.06 + t^4.413 + 3*t^4.587 + 3*t^4.853 + t^5.119 + t^5.294 + t^5.56 + 2*t^5.647 + 2*t^5.913 - 2*t^6. - t^4.147/y - t^4.147*y	detail
141	${}\phi_{1}q_{1}^{2}$ + ${ }\phi_{1}q_{2}^{2}$ + ${ }M_{1}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{3}\phi_{1}\tilde{q}_{2}^{2}$	0.6689	0.8346	0.8015	[M:[0.6982, 0.6982, 0.6982], q:[0.8254, 0.8254], qb:[0.4763, 0.4763], phi:[0.3491]]	4*t^2.095 + t^2.858 + 4*t^3.905 + 10*t^4.189 + 5*t^4.953 + t^5.716 + 7*t^6. - t^4.047/y - t^4.047*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
57	SU2adj1nf2	${}\phi_{1}q_{1}^{2}$ + ${ }\phi_{1}q_{2}^{2}$ + ${ }M_{1}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$	0.6279	0.7568	0.8297	[M:[0.7082], q:[0.823, 0.823], qb:[0.4689, 0.4689], phi:[0.3541]]	2*t^2.125 + t^2.813 + 6*t^3.875 + 3*t^4.249 + 3*t^4.938 + t^5.626 + 3*t^6. - t^4.062/y - t^4.062*y	detail