Landscape

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
77	SU2adj1nf2	${}\phi_{1}q_{1}q_{2}$ + ${ }M_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$	0.6485	0.7964	0.8143	[M:[0.6901, 0.7044], q:[0.8346, 0.8132], qb:[0.4753, 0.4681], phi:[0.3522]]	[M:[[1, -4, -1], [0, -2, -2]], q:[[-1, 1, 1], [1, 0, 0]], qb:[[0, 3, 0], [0, 0, 3]], phi:[[0, -1, -1]]]	3

Relevant Operators	Marginal Operators	$n_{marginal}$$-$$|F_{IR}|$	Superconformal Index	Refined index
${}M_{1}$, ${ }M_{2}$, ${ }\phi_{1}^{2}$, ${ }\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{2}\tilde{q}_{2}$, ${ }q_{2}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }M_{1}^{2}$, ${ }M_{1}M_{2}$, ${ }M_{1}\phi_{1}^{2}$, ${ }M_{2}^{2}$, ${ }M_{2}\phi_{1}^{2}$, ${ }\phi_{1}^{4}$, ${ }M_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{1}q_{2}$, ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\tilde{q}_{1}^{2}\tilde{q}_{2}^{2}$, ${ }M_{1}q_{2}\tilde{q}_{2}$, ${ }M_{1}q_{2}\tilde{q}_{1}$, ${ }M_{1}\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{2}q_{2}\tilde{q}_{2}$, ${ }M_{2}q_{2}\tilde{q}_{1}$, ${ }M_{1}\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{2}\phi_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}^{3}\tilde{q}_{2}^{2}$	${}$	-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	(g1*t^2.07)/(g2^4*g3) + (2*t^2.113)/(g2^2*g3^2) + g2^3*g3^3*t^2.83 + g1*g3^3*t^3.844 + g1*g2^3*t^3.865 + (g3^5*t^3.865)/g2 + (g2^5*t^3.908)/g3 + (g2*g3^4*t^3.908)/g1 + (g1^2*t^4.141)/(g2^8*g3^2) + (2*g1*t^4.184)/(g2^6*g3^3) + (3*t^4.226)/(g2^4*g3^4) + (g1*g3^2*t^4.901)/g2 + 3*g2*g3*t^4.943 + g2^6*g3^6*t^5.66 + (g1^2*g3^2*t^5.914)/g2^4 + (g1^2*t^5.936)/(g2*g3) + (g1*g3^4*t^5.936)/g2^5 + (g1*g3*t^5.957)/g2^2 + (2*g1*g2*t^5.979)/g3^2 + (2*g3^3*t^5.979)/g2^3 - 3*t^6. + (g2^3*t^6.021)/g3^3 + (g3^2*t^6.021)/(g1*g2) - (g2^2*t^6.043)/(g1*g3) + (g1^3*t^6.211)/(g2^12*g3^3) + (2*g1^2*t^6.254)/(g2^10*g3^4) + (3*g1*t^6.297)/(g2^8*g3^5) + (4*t^6.34)/(g2^6*g3^6) + g1*g2^3*g3^6*t^6.674 + g1*g2^6*g3^3*t^6.696 + g2^2*g3^8*t^6.696 + g2^8*g3^2*t^6.738 + (g2^4*g3^7*t^6.738)/g1 + (g1^2*g3*t^6.971)/g2^5 + (2*g1*t^7.014)/g2^3 - (g1*t^7.035)/g3^3 - (g3^2*t^7.035)/g2^4 + (3*t^7.057)/(g2*g3) - (g2^2*t^7.078)/g3^4 - (g3*t^7.078)/(g1*g2^2) - (g2*t^7.099)/(g1*g3^2) + g1^2*g3^6*t^7.688 + g1^2*g2^3*g3^3*t^7.709 + (g1*g3^8*t^7.709)/g2 + g1^2*g2^6*t^7.731 + g1*g2^2*g3^5*t^7.731 + (g3^10*t^7.731)/g2^2 + (g1*g2^8*t^7.774)/g3 + 2*g2^4*g3^4*t^7.774 + (g3^9*t^7.774)/g1 - g2^7*g3*t^7.795 - (g2^3*g3^6*t^7.795)/g1 + (g2^10*t^7.816)/g3^2 + (g2^2*g3^8*t^7.816)/g1^2 + (g1^3*g3*t^7.985)/g2^8 + (g1^3*t^8.006)/(g2^5*g3^2) + (g1^2*g3^3*t^8.006)/g2^9 + (g1^2*t^8.028)/g2^6 + (2*g1^2*t^8.049)/(g2^3*g3^3) + (2*g1*g3^2*t^8.049)/g2^7 - (2*g1*t^8.07)/(g2^4*g3) + (2*g1*t^8.092)/(g2*g3^4) + (2*g3*t^8.092)/g2^5 - (6*t^8.113)/(g2^2*g3^2) + t^8.135/(g1*g2^3) + (g2*t^8.135)/g3^5 - (2*t^8.156)/(g1*g3^3) + (g1^4*t^8.281)/(g2^16*g3^4) + (2*g1^3*t^8.324)/(g2^14*g3^5) + (3*g1^2*t^8.367)/(g2^12*g3^6) + (4*g1*t^8.41)/(g2^10*g3^7) + (5*t^8.453)/(g2^8*g3^8) + g2^9*g3^9*t^8.491 + (g1^2*g3^5*t^8.745)/g2 + g1^2*g2^2*g3^2*t^8.766 + (g1*g3^7*t^8.766)/g2^2 + g1*g2*g3^4*t^8.787 + 2*g1*g2^4*g3*t^8.809 + 2*g3^6*t^8.809 - 5*g2^3*g3^3*t^8.83 + g2^6*t^8.852 + (g2^2*g3^5*t^8.852)/g1 - (2*g2^5*g3^2*t^8.873)/g1 - t^4.057/(g2*g3*y) - (g1*t^6.127)/(g2^5*g3^2*y) - (2*t^6.17)/(g2^3*g3^3*y) + (2*g1*t^7.184)/(g2^6*g3^3*y) + t^7.226/(g2^4*g3^4*y) + (g1*g3^2*t^7.901)/(g2*y) + (4*g2*g3*t^7.943)/y + (g2^3*t^7.986)/(g1*y) - (g1^2*t^8.197)/(g2^9*g3^3*y) - (2*g1*t^8.24)/(g2^7*g3^4*y) - (3*t^8.283)/(g2^5*g3^5*y) + (g1^2*g3^2*t^8.914)/(g2^4*y) + (g1^2*t^8.936)/(g2*g3*y) + (g1*g3^4*t^8.936)/(g2^5*y) + (2*g1*g3*t^8.957)/(g2^2*y) + (3*g1*g2*t^8.979)/(g3^2*y) + (3*g3^3*t^8.979)/(g2^3*y) - (t^4.057*y)/(g2*g3) - (g1*t^6.127*y)/(g2^5*g3^2) - (2*t^6.17*y)/(g2^3*g3^3) + (2*g1*t^7.184*y)/(g2^6*g3^3) + (t^7.226*y)/(g2^4*g3^4) + (g1*g3^2*t^7.901*y)/g2 + 4*g2*g3*t^7.943*y + (g2^3*t^7.986*y)/g1 - (g1^2*t^8.197*y)/(g2^9*g3^3) - (2*g1*t^8.24*y)/(g2^7*g3^4) - (3*t^8.283*y)/(g2^5*g3^5) + (g1^2*g3^2*t^8.914*y)/g2^4 + (g1^2*t^8.936*y)/(g2*g3) + (g1*g3^4*t^8.936*y)/g2^5 + (2*g1*g3*t^8.957*y)/g2^2 + (3*g1*g2*t^8.979*y)/g3^2 + (3*g3^3*t^8.979*y)/g2^3

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

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

Equivalent Fixed Points from the Same Seed Theory

Below is a list of equivalent fixed points from the same seed theories.

id	Theory	Superpotential	Central Charge $a$	Central Charge $c$	Ratio $a/c$	$R$-charges	More Info.	Rational

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
49	SU2adj1nf2	${}\phi_{1}q_{1}q_{2}$ + ${ }M_{1}q_{1}\tilde{q}_{1}$	0.6281	0.7582	0.8284	[M:[0.6941], q:[0.8347, 0.81], qb:[0.4712, 0.463], phi:[0.3553]]	t^2.082 + t^2.132 + t^2.803 + t^3.819 + 2*t^3.844 + t^3.868 + 2*t^3.893 + t^4.165 + t^4.214 + t^4.263 + t^4.885 + 2*t^4.934 + t^5.605 + t^5.901 + 2*t^5.926 + t^5.951 + 2*t^5.975 - 2*t^6. - t^4.066/y - t^4.066*y	detail