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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
50786	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ + ${ }M_{5}\phi_{1}^{2}$ + ${ }M_{5}M_{6}$ + ${ }M_{2}M_{6}$ + ${ }M_{1}^{2}$	0.7037	0.8634	0.8151	[M:[1.0, 1.0362, 0.9275, 0.8913, 1.0362, 0.9638], q:[0.4275, 0.5725], qb:[0.5362, 0.5362], phi:[0.4819]]	[M:[[0], [2], [-4], [-6], [2], [-2]], q:[[-4], [4]], qb:[[2], [2]], phi:[[-1]]]	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
${}M_{4}$, ${ }M_{3}$, ${ }M_{6}$, ${ }\phi_{1}^{2}$, ${ }M_{1}$, ${ }M_{2}$, ${ }q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }M_{4}^{2}$, ${ }M_{3}M_{4}$, ${ }M_{3}^{2}$, ${ }M_{4}M_{6}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{1}M_{4}$, ${ }M_{3}M_{6}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{1}M_{3}$, ${ }M_{2}M_{4}$, ${ }M_{6}^{2}$, ${ }M_{6}\phi_{1}^{2}$, ${ }\phi_{1}^{4}$, ${ }M_{2}M_{3}$, ${ }M_{1}M_{6}$, ${ }M_{1}\phi_{1}^{2}$	${}M_{2}\phi_{1}^{2}$, ${ }M_{4}q_{2}\tilde{q}_{1}$	-2	t^2.674 + t^2.783 + 2*t^2.891 + t^3. + t^3.109 + t^3.326 + t^4.011 + 2*t^4.337 + t^4.446 + 3*t^4.663 + 2*t^4.772 + t^4.88 + t^5.348 + t^5.457 + 2*t^5.565 + t^5.674 + 5*t^5.783 + t^5.891 - 2*t^6. + 2*t^6.217 - t^6.326 + t^6.652 + t^6.685 + t^6.793 + 2*t^6.902 + 2*t^7.011 + t^7.12 + 4*t^7.228 + 4*t^7.337 + t^7.446 + 5*t^7.554 + 5*t^7.663 + t^7.772 + t^7.989 + 2*t^8.022 + t^8.098 + t^8.13 + t^8.207 + 2*t^8.239 + 3*t^8.348 + 4*t^8.457 + t^8.565 + 5*t^8.674 - 5*t^8.891 - t^4.446/y - t^7.12/y - t^7.228/y + t^7.663/y + t^7.772/y + t^8.457/y + (2*t^8.565)/y + (3*t^8.674)/y + (3*t^8.783)/y + (3*t^8.891)/y - t^4.446*y - t^7.12*y - t^7.228*y + t^7.663*y + t^7.772*y + t^8.457*y + 2*t^8.565*y + 3*t^8.674*y + 3*t^8.783*y + 3*t^8.891*y	t^2.674/g1^6 + t^2.783/g1^4 + (2*t^2.891)/g1^2 + t^3. + g1^2*t^3.109 + g1^6*t^3.326 + t^4.011/g1^9 + (2*t^4.337)/g1^3 + t^4.446/g1 + 3*g1^3*t^4.663 + 2*g1^5*t^4.772 + g1^7*t^4.88 + t^5.348/g1^12 + t^5.457/g1^10 + (2*t^5.565)/g1^8 + t^5.674/g1^6 + (5*t^5.783)/g1^4 + t^5.891/g1^2 - 2*t^6. + 2*g1^4*t^6.217 - g1^6*t^6.326 + g1^12*t^6.652 + t^6.685/g1^15 + t^6.793/g1^13 + (2*t^6.902)/g1^11 + (2*t^7.011)/g1^9 + t^7.12/g1^7 + (4*t^7.228)/g1^5 + (4*t^7.337)/g1^3 + t^7.446/g1 + 5*g1*t^7.554 + 5*g1^3*t^7.663 + g1^5*t^7.772 + g1^9*t^7.989 + (2*t^8.022)/g1^18 + g1^11*t^8.098 + t^8.13/g1^16 + g1^13*t^8.207 + (2*t^8.239)/g1^14 + (3*t^8.348)/g1^12 + (4*t^8.457)/g1^10 + t^8.565/g1^8 + (5*t^8.674)/g1^6 - (5*t^8.891)/g1^2 - t^4.446/(g1*y) - t^7.12/(g1^7*y) - t^7.228/(g1^5*y) + (g1^3*t^7.663)/y + (g1^5*t^7.772)/y + t^8.457/(g1^10*y) + (2*t^8.565)/(g1^8*y) + (3*t^8.674)/(g1^6*y) + (3*t^8.783)/(g1^4*y) + (3*t^8.891)/(g1^2*y) - (t^4.446*y)/g1 - (t^7.12*y)/g1^7 - (t^7.228*y)/g1^5 + g1^3*t^7.663*y + g1^5*t^7.772*y + (t^8.457*y)/g1^10 + (2*t^8.565*y)/g1^8 + (3*t^8.674*y)/g1^6 + (3*t^8.783*y)/g1^4 + (3*t^8.891*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
56175	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ + ${ }M_{5}\phi_{1}^{2}$ + ${ }M_{5}M_{6}$ + ${ }M_{2}M_{6}$ + ${ }M_{1}^{2}$ + ${ }M_{2}M_{7}$	0.7073	0.87	0.813	[M:[1.0, 1.041, 0.9181, 0.8771, 1.041, 0.959, 0.959], q:[0.4181, 0.5819], qb:[0.541, 0.541], phi:[0.4795]]	t^2.631 + t^2.754 + 3*t^2.877 + t^3. + t^3.369 + t^3.947 + 2*t^4.316 + t^4.439 + 3*t^4.684 + 2*t^4.807 + t^4.93 + t^5.263 + t^5.385 + 3*t^5.508 + 2*t^5.631 + 7*t^5.754 + t^5.877 - 4*t^6. - t^4.439/y - t^4.439*y	detail
56172	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ + ${ }M_{5}\phi_{1}^{2}$ + ${ }M_{5}M_{6}$ + ${ }M_{2}M_{6}$ + ${ }M_{1}^{2}$ + ${ }M_{4}M_{7}$	0.6957	0.8499	0.8186	[M:[1.0, 1.022, 0.956, 0.934, 1.022, 0.978, 1.066], q:[0.456, 0.544], qb:[0.522, 0.522], phi:[0.489]]	t^2.868 + 2*t^2.934 + t^3. + t^3.066 + 2*t^3.198 + t^4.203 + 2*t^4.401 + t^4.467 + 3*t^4.599 + 2*t^4.665 + t^4.731 + 4*t^5.868 + t^5.934 - 3*t^6. - t^4.467/y - t^4.467*y	detail
56174	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ + ${ }M_{5}\phi_{1}^{2}$ + ${ }M_{5}M_{6}$ + ${ }M_{2}M_{6}$ + ${ }M_{1}^{2}$ + ${ }M_{6}M_{7}$	0.7005	0.8578	0.8167	[M:[1.0, 1.0314, 0.9372, 0.9058, 1.0314, 0.9686, 1.0314], q:[0.4372, 0.5628], qb:[0.5314, 0.5314], phi:[0.4843]]	t^2.717 + t^2.812 + t^2.906 + t^3. + 2*t^3.094 + t^3.283 + t^4.076 + 2*t^4.359 + t^4.453 + 3*t^4.641 + 2*t^4.736 + t^4.83 + t^5.435 + t^5.529 + t^5.623 + 4*t^5.812 + t^5.906 - 2*t^6. - t^4.453/y - t^4.453*y	detail
56176	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ + ${ }M_{5}\phi_{1}^{2}$ + ${ }M_{5}M_{6}$ + ${ }M_{2}M_{6}$ + ${ }M_{1}^{2}$ + ${ }M_{7}q_{2}\tilde{q}_{1}$	0.715	0.8847	0.8082	[M:[1.0, 1.0479, 0.9042, 0.8564, 1.0479, 0.9521, 0.8564], q:[0.4042, 0.5958], qb:[0.5479, 0.5479], phi:[0.4761]]	2*t^2.569 + t^2.713 + 2*t^2.856 + t^3. + t^3.144 + t^3.854 + 2*t^4.285 + t^4.428 + 3*t^4.715 + 2*t^4.859 + t^5.003 + 3*t^5.138 + 2*t^5.282 + 4*t^5.425 + 2*t^5.569 + 6*t^5.713 + t^5.856 - 3*t^6. - t^4.428/y - t^4.428*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
46804	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ + ${ }M_{5}\phi_{1}^{2}$ + ${ }M_{5}M_{6}$ + ${ }M_{2}M_{6}$	0.7055	0.8657	0.8149	[M:[0.951, 1.0421, 0.9647, 0.8736, 1.0421, 0.9579], q:[0.4402, 0.6088], qb:[0.5177, 0.5177], phi:[0.4789]]	t^2.621 + t^2.853 + 2*t^2.874 + t^2.894 + t^3.126 + t^3.379 + t^4.078 + 2*t^4.31 + 3*t^4.543 + t^4.584 + 2*t^4.816 + t^5.089 + t^5.241 + t^5.474 + t^5.494 + t^5.515 + t^5.706 + 5*t^5.747 + t^5.788 + t^5.98 - 3*t^6. - t^4.437/y - t^4.437*y	detail