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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
4600	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{2}M_{3}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{6}\phi_{1}^{2}$ + ${ }M_{4}M_{7}$ + ${ }M_{2}M_{8}$	0.704	0.8713	0.808	[M:[0.8927, 1.0766, 0.9234, 1.046, 0.954, 1.0153, 0.954, 0.9234], q:[0.569, 0.5383], qb:[0.5077, 0.4157], phi:[0.4923]]	[M:[[14], [-10], [10], [-6], [6], [-2], [6], [10]], q:[[-9], [-5]], qb:[[-1], [11]], 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
${}M_{1}$, ${ }M_{3}$, ${ }M_{8}$, ${ }M_{5}$, ${ }M_{7}$, ${ }\phi_{1}^{2}$, ${ }M_{6}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}q_{1}^{2}$, ${ }M_{1}^{2}$, ${ }M_{1}M_{3}$, ${ }M_{1}M_{8}$, ${ }M_{3}^{2}$, ${ }M_{1}M_{5}$, ${ }M_{1}M_{7}$, ${ }M_{3}M_{8}$, ${ }M_{8}^{2}$, ${ }M_{3}M_{5}$, ${ }M_{3}M_{7}$, ${ }M_{5}M_{8}$, ${ }M_{7}M_{8}$, ${ }M_{1}\phi_{1}^{2}$, ${ }M_{5}^{2}$, ${ }M_{1}M_{6}$, ${ }M_{5}M_{7}$, ${ }M_{7}^{2}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{8}\phi_{1}^{2}$, ${ }M_{3}M_{6}$, ${ }M_{6}M_{8}$, ${ }M_{5}\phi_{1}^{2}$, ${ }M_{7}\phi_{1}^{2}$, ${ }M_{5}M_{6}$, ${ }M_{6}M_{7}$, ${ }\phi_{1}^{4}$	${}$	-3	t^2.678 + 2*t^2.77 + 2*t^2.862 + t^2.954 + t^3.046 + t^3.971 + t^4.247 + t^4.339 + t^4.431 + t^4.523 + t^4.615 + 2*t^4.707 + t^4.799 + t^4.891 + t^5.356 + 2*t^5.448 + 4*t^5.54 + 4*t^5.632 + 5*t^5.724 + 3*t^5.816 + t^5.908 - 3*t^6. - 2*t^6.092 - t^6.184 - t^6.276 - t^6.368 - t^6.46 + t^6.649 + 2*t^6.741 + 2*t^6.833 + 2*t^6.925 + 2*t^7.017 + 3*t^7.109 + 4*t^7.201 + 4*t^7.293 + 4*t^7.385 + 3*t^7.477 + 3*t^7.569 + 3*t^7.661 + t^7.753 - t^7.845 - 2*t^7.937 + t^7.942 - t^8.029 + t^8.034 + 2*t^8.126 + 5*t^8.218 + 7*t^8.31 + 8*t^8.402 + 8*t^8.494 + 8*t^8.586 + 2*t^8.678 - 4*t^8.77 - 8*t^8.862 - 8*t^8.954 - t^4.477/y - t^7.155/y - t^7.247/y - t^7.339/y + t^7.615/y + t^7.707/y + t^7.799/y + (2*t^8.448)/y + (3*t^8.54)/y + (5*t^8.632)/y + (4*t^8.724)/y + (4*t^8.816)/y + (2*t^8.908)/y - t^4.477*y - t^7.155*y - t^7.247*y - t^7.339*y + t^7.615*y + t^7.707*y + t^7.799*y + 2*t^8.448*y + 3*t^8.54*y + 5*t^8.632*y + 4*t^8.724*y + 4*t^8.816*y + 2*t^8.908*y	g1^14*t^2.678 + 2*g1^10*t^2.77 + 2*g1^6*t^2.862 + g1^2*t^2.954 + t^3.046/g1^2 + g1^23*t^3.971 + g1^11*t^4.247 + g1^7*t^4.339 + g1^3*t^4.431 + t^4.523/g1 + t^4.615/g1^5 + (2*t^4.707)/g1^9 + t^4.799/g1^13 + t^4.891/g1^17 + g1^28*t^5.356 + 2*g1^24*t^5.448 + 4*g1^20*t^5.54 + 4*g1^16*t^5.632 + 5*g1^12*t^5.724 + 3*g1^8*t^5.816 + g1^4*t^5.908 - 3*t^6. - (2*t^6.092)/g1^4 - t^6.184/g1^8 - t^6.276/g1^12 - t^6.368/g1^16 - t^6.46/g1^20 + g1^37*t^6.649 + 2*g1^33*t^6.741 + 2*g1^29*t^6.833 + 2*g1^25*t^6.925 + 2*g1^21*t^7.017 + 3*g1^17*t^7.109 + 4*g1^13*t^7.201 + 4*g1^9*t^7.293 + 4*g1^5*t^7.385 + 3*g1*t^7.477 + (3*t^7.569)/g1^3 + (3*t^7.661)/g1^7 + t^7.753/g1^11 - t^7.845/g1^15 - (2*t^7.937)/g1^19 + g1^46*t^7.942 - t^8.029/g1^23 + g1^42*t^8.034 + 2*g1^38*t^8.126 + 5*g1^34*t^8.218 + 7*g1^30*t^8.31 + 8*g1^26*t^8.402 + 8*g1^22*t^8.494 + 8*g1^18*t^8.586 + 2*g1^14*t^8.678 - 4*g1^10*t^8.77 - 8*g1^6*t^8.862 - 8*g1^2*t^8.954 - (g1*t^4.477)/y - (g1^15*t^7.155)/y - (g1^11*t^7.247)/y - (g1^7*t^7.339)/y + t^7.615/(g1^5*y) + t^7.707/(g1^9*y) + t^7.799/(g1^13*y) + (2*g1^24*t^8.448)/y + (3*g1^20*t^8.54)/y + (5*g1^16*t^8.632)/y + (4*g1^12*t^8.724)/y + (4*g1^8*t^8.816)/y + (2*g1^4*t^8.908)/y - g1*t^4.477*y - g1^15*t^7.155*y - g1^11*t^7.247*y - g1^7*t^7.339*y + (t^7.615*y)/g1^5 + (t^7.707*y)/g1^9 + (t^7.799*y)/g1^13 + 2*g1^24*t^8.448*y + 3*g1^20*t^8.54*y + 5*g1^16*t^8.632*y + 4*g1^12*t^8.724*y + 4*g1^8*t^8.816*y + 2*g1^4*t^8.908*y

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
6119	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{2}M_{3}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{6}\phi_{1}^{2}$ + ${ }M_{4}M_{7}$ + ${ }M_{2}M_{8}$ + ${ }M_{6}M_{9}$	0.7055	0.8744	0.8069	[M:[0.8869, 1.0808, 0.9192, 1.0485, 0.9515, 1.0162, 0.9515, 0.9192, 0.9838], q:[0.5727, 0.5404], qb:[0.5081, 0.4112], phi:[0.4919]]	t^2.661 + 2*t^2.758 + 2*t^2.855 + 2*t^2.952 + t^3.943 + t^4.233 + t^4.33 + t^4.427 + t^4.524 + t^4.621 + 2*t^4.718 + t^4.815 + t^4.912 + t^5.322 + 2*t^5.418 + 4*t^5.515 + 5*t^5.612 + 6*t^5.709 + 3*t^5.806 + t^5.903 - 4*t^6. - t^4.476/y - t^4.476*y	detail
6120	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{2}M_{3}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{6}\phi_{1}^{2}$ + ${ }M_{4}M_{7}$ + ${ }M_{2}M_{8}$ + ${ }M_{9}\phi_{1}\tilde{q}_{2}^{2}$	0.7248	0.9123	0.7945	[M:[0.895, 1.075, 0.925, 1.045, 0.955, 1.015, 0.955, 0.925, 0.6725], q:[0.5675, 0.5375], qb:[0.5075, 0.4175], phi:[0.4925]]	t^2.017 + t^2.685 + 2*t^2.775 + 2*t^2.865 + t^2.955 + t^3.045 + t^4.035 + t^4.253 + t^4.343 + t^4.433 + t^4.522 + t^4.612 + 3*t^4.702 + 3*t^4.792 + 3*t^4.882 + t^4.972 + t^5.062 + t^5.37 + 2*t^5.46 + 4*t^5.55 + 4*t^5.64 + 5*t^5.73 + 3*t^5.82 + t^5.91 - 3*t^6. - t^4.478/y - t^4.478*y	detail
6118	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{2}M_{3}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{6}\phi_{1}^{2}$ + ${ }M_{4}M_{7}$ + ${ }M_{2}M_{8}$ + ${ }M_{9}\phi_{1}^{2}$	0.7026	0.8684	0.8091	[M:[0.8986, 1.0725, 0.9275, 1.0435, 0.9565, 1.0145, 0.9565, 0.9275, 1.0145], q:[0.5652, 0.5362], qb:[0.5072, 0.4203], phi:[0.4928]]	t^2.696 + 2*t^2.783 + 2*t^2.87 + 2*t^3.043 + t^4. + t^4.261 + t^4.348 + t^4.435 + t^4.522 + t^4.609 + 2*t^4.696 + t^4.783 + t^4.87 + t^5.391 + 2*t^5.478 + 4*t^5.565 + 3*t^5.652 + 4*t^5.739 + 3*t^5.826 + 2*t^5.913 - 4*t^6. - t^4.478/y - t^4.478*y	detail	{a: 5947/8464, c: 3675/4232, M1: 62/69, M2: 74/69, M3: 64/69, M4: 24/23, M5: 22/23, M6: 70/69, M7: 22/23, M8: 64/69, M9: 70/69, q1: 13/23, q2: 37/69, qb1: 35/69, qb2: 29/69, phi1: 34/69}

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
2545	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{2}M_{3}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{6}\phi_{1}^{2}$ + ${ }M_{4}M_{7}$	0.6979	0.8587	0.8127	[M:[0.9216, 1.056, 0.944, 1.0336, 0.9664, 1.0112, 0.9664], q:[0.5504, 0.528], qb:[0.5056, 0.4384], phi:[0.4944]]	t^2.765 + t^2.832 + 2*t^2.899 + t^2.966 + t^3.034 + t^3.168 + t^4.113 + t^4.315 + t^4.382 + t^4.45 + t^4.517 + t^4.584 + 2*t^4.651 + t^4.719 + t^4.786 + t^5.529 + t^5.597 + 2*t^5.664 + 2*t^5.731 + 4*t^5.798 + 2*t^5.866 + 2*t^5.933 - 2*t^6. - t^4.483/y - t^4.483*y	detail