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
47921	SU3adj1nf2	${}\phi_{1}q_{1}^{2}q_{2}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }M_{1}\phi_{1}q_{2}\tilde{q}_{1}$	1.4635	1.664	0.8795	[X:[1.3534], M:[0.671], q:[0.5755, 0.5258], qb:[0.4799, 0.479], phi:[0.3233]]	[X:[[0, 0, 2]], M:[[1, 2, -10]], q:[[1, 1, -5], [-2, -2, 11]], qb:[[1, 0, 0], [0, 1, 0]], phi:[[0, 0, -1]]]	3

Relevant Operators	Marginal Operators	$n_{marginal}$$-$$|F_{IR}|$	Superconformal Index	Refined index
${}M_{1}$, ${ }\phi_{1}^{3}$, ${ }q_{2}\tilde{q}_{2}$, ${ }q_{2}\tilde{q}_{1}$, ${ }q_{1}\tilde{q}_{2}$, ${ }q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{1}^{2}$, ${ }X_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{1}\phi_{1}^{3}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$, ${ }M_{1}q_{2}\tilde{q}_{2}$, ${ }M_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{1}$, ${ }M_{1}q_{1}\tilde{q}_{2}$, ${ }M_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}\tilde{q}_{2}$, ${ }\phi_{1}^{6}$, ${ }\phi_{1}^{3}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}^{3}q_{2}\tilde{q}_{1}$	${}$	-3	t^2.013 + t^2.91 + t^3.014 + t^3.017 + t^3.163 + t^3.166 + t^3.984 + t^4.026 + t^4.06 + t^4.133 + t^4.136 + t^4.923 + t^4.954 + t^4.957 + t^5.027 + t^5.03 + t^5.103 + t^5.106 + t^5.176 + t^5.179 + t^5.283 + t^5.286 + t^5.82 + t^5.924 + t^5.927 - 3*t^6. - t^6.003 + t^6.028 + t^6.031 + t^6.034 + t^6.039 + 2*t^6.073 + t^6.076 + t^6.146 + t^6.177 + 2*t^6.18 + t^6.183 + t^6.253 + t^6.256 + t^6.327 + t^6.329 + t^6.332 + t^6.894 + t^6.936 - t^6.973 + t^6.998 + t^7.001 + t^7.04 + 2*t^7.043 + t^7.046 + t^7.074 + t^7.077 + t^7.116 + 2*t^7.147 + 2*t^7.15 + t^7.153 + t^7.189 + t^7.192 + t^7.221 + 2*t^7.223 + 2*t^7.226 + t^7.229 + 2*t^7.297 + 2*t^7.299 + t^7.302 + t^7.642 + t^7.833 - t^7.943 + 2*t^7.968 + 2*t^7.971 + t^7.974 - 2*t^8.013 + t^8.041 + t^8.044 + t^8.052 + 2*t^8.086 + t^8.089 + 2*t^8.117 + 3*t^8.12 + t^8.123 + t^8.159 + t^8.191 + 3*t^8.193 + 2*t^8.196 + 2*t^8.266 + 2*t^8.269 + t^8.272 + t^8.298 + 2*t^8.3 + t^8.303 + t^8.34 + t^8.342 + t^8.345 + t^8.447 + 2*t^8.449 + t^8.452 - t^8.685 - t^8.688 + t^8.73 - 2*t^8.91 - t^8.913 + 2*t^8.938 + 2*t^8.941 + t^8.944 + t^8.949 - t^8.983 + t^8.91/y^2 - t^8.983/y^2 - t^3.97/y - t^4.94/y - t^5.983/y - t^6.88/y - t^6.953/y - t^6.984/y - t^6.987/y - t^7.133/y - t^7.136/y - t^7.85/y + t^7.923/y - t^7.954/y - t^7.996/y + t^8.027/y + t^8.03/y - t^8.103/y - t^8.106/y + t^8.176/y + t^8.179/y - t^8.893/y + t^8.927/y - t^8.966/y - t^3.97*y - t^4.94*y - t^5.983*y - t^6.88*y - t^6.953*y - t^6.984*y - t^6.987*y - t^7.133*y - t^7.136*y - t^7.85*y + t^7.923*y - t^7.954*y - t^7.996*y + t^8.027*y + t^8.03*y - t^8.103*y - t^8.106*y + t^8.176*y + t^8.179*y - t^8.893*y + t^8.927*y - t^8.966*y + t^8.91*y^2 - t^8.983*y^2	(g1*g2^2*t^2.013)/g3^10 + t^2.91/g3^3 + (g3^11*t^3.014)/(g1^2*g2) + (g3^11*t^3.017)/(g1*g2^2) + (g1*g2^2*t^3.163)/g3^5 + (g1^2*g2*t^3.166)/g3^5 + (g3^10*t^3.984)/(g1^2*g2) + (g1^2*g2^4*t^4.026)/g3^20 + g3^2*t^4.06 + (g1*g2^2*t^4.133)/g3^6 + (g1^2*g2*t^4.136)/g3^6 + (g1*g2^2*t^4.923)/g3^13 + (g3^9*t^4.954)/(g1^2*g2) + (g3^9*t^4.957)/(g1*g2^2) + (g2*g3*t^5.027)/g1 + g3*t^5.03 + (g1*g2^2*t^5.103)/g3^7 + (g1^2*g2*t^5.106)/g3^7 + (g1^2*g2^4*t^5.176)/g3^15 + (g1^3*g2^3*t^5.179)/g3^15 + (g1*g2^2*t^5.283)/g3 + (g1^2*g2*t^5.286)/g3 + t^5.82/g3^6 + (g3^8*t^5.924)/(g1^2*g2) + (g3^8*t^5.927)/(g1*g2^2) - 3*t^6. - (g1*t^6.003)/g2 + (g3^22*t^6.028)/(g1^4*g2^2) + (g3^22*t^6.031)/(g1^3*g2^3) + (g3^22*t^6.034)/(g1^2*g2^4) + (g1^3*g2^6*t^6.039)/g3^30 + (2*g1*g2^2*t^6.073)/g3^8 + (g1^2*g2*t^6.076)/g3^8 + (g1^2*g2^4*t^6.146)/g3^16 + (g2*g3^6*t^6.177)/g1 + 2*g3^6*t^6.18 + (g1*g3^6*t^6.183)/g2 + (g1*g2^2*t^6.253)/g3^2 + (g1^2*g2*t^6.256)/g3^2 + (g1^2*g2^4*t^6.327)/g3^10 + (g1^3*g2^3*t^6.329)/g3^10 + (g1^4*g2^2*t^6.332)/g3^10 + (g3^7*t^6.894)/(g1^2*g2) + (g1^2*g2^4*t^6.936)/g3^23 - (g1*t^6.973)/(g2*g3) + (g3^21*t^6.998)/(g1^4*g2^2) + (g3^21*t^7.001)/(g1^3*g2^3) + (g2^3*t^7.04)/g3^9 + (2*g1*g2^2*t^7.043)/g3^9 + (g1^2*g2*t^7.046)/g3^9 + (g3^13*t^7.074)/(g1^2*g2) + (g3^13*t^7.077)/(g1*g2^2) + (g1^2*g2^4*t^7.116)/g3^17 + (2*g2*g3^5*t^7.147)/g1 + 2*g3^5*t^7.15 + (g1*g3^5*t^7.153)/g2 + (g1^3*g2^6*t^7.189)/g3^25 + (g1^4*g2^5*t^7.192)/g3^25 + (g2^3*t^7.221)/g3^3 + (2*g1*g2^2*t^7.223)/g3^3 + (2*g1^2*g2*t^7.226)/g3^3 + (g1^3*t^7.229)/g3^3 + (2*g1^2*g2^4*t^7.297)/g3^11 + (2*g1^3*g2^3*t^7.299)/g3^11 + (g1^4*g2^2*t^7.302)/g3^11 + (g3^30*t^7.642)/(g1^6*g2^6) + (g1*g2^2*t^7.833)/g3^16 - (g1*t^7.943)/(g2*g3^2) + (2*g3^20*t^7.968)/(g1^4*g2^2) + (2*g3^20*t^7.971)/(g1^3*g2^3) + (g3^20*t^7.974)/(g1^2*g2^4) - (2*g1*g2^2*t^8.013)/g3^10 + (g3^12*t^8.041)/g1^3 + (g3^12*t^8.044)/(g1^2*g2) + (g1^4*g2^8*t^8.052)/g3^40 + (2*g1^2*g2^4*t^8.086)/g3^18 + (g1^3*g2^3*t^8.089)/g3^18 + (2*g2*g3^4*t^8.117)/g1 + 3*g3^4*t^8.12 + (g1*g3^4*t^8.123)/g2 + (g1^3*g2^6*t^8.159)/g3^26 + (g2^3*t^8.191)/g3^4 + (3*g1*g2^2*t^8.193)/g3^4 + (2*g1^2*g2*t^8.196)/g3^4 + (2*g1^2*g2^4*t^8.266)/g3^12 + (2*g1^3*g2^3*t^8.269)/g3^12 + (g1^4*g2^2*t^8.272)/g3^12 + (g2*g3^10*t^8.298)/g1 + 2*g3^10*t^8.3 + (g1*g3^10*t^8.303)/g2 + (g1^3*g2^6*t^8.34)/g3^20 + (g1^4*g2^5*t^8.342)/g3^20 + (g1^5*g2^4*t^8.345)/g3^20 + (g1^2*g2^4*t^8.447)/g3^6 + (2*g1^3*g2^3*t^8.449)/g3^6 + (g1^4*g2^2*t^8.452)/g3^6 - (g3^21*t^8.685)/(g1^5*g2^4) - (g3^21*t^8.688)/(g1^4*g2^5) + t^8.73/g3^9 - (2*t^8.91)/g3^3 - (g1*t^8.913)/(g2*g3^3) + (2*g3^19*t^8.938)/(g1^4*g2^2) + (2*g3^19*t^8.941)/(g1^3*g2^3) + (g3^19*t^8.944)/(g1^2*g2^4) + (g1^3*g2^6*t^8.949)/g3^33 - (g1*g2^2*t^8.983)/g3^11 + t^8.91/(g3^3*y^2) - (g1*g2^2*t^8.983)/(g3^11*y^2) - t^3.97/(g3*y) - t^4.94/(g3^2*y) - (g1*g2^2*t^5.983)/(g3^11*y) - t^6.88/(g3^4*y) - (g1*g2^2*t^6.953)/(g3^12*y) - (g3^10*t^6.984)/(g1^2*g2*y) - (g3^10*t^6.987)/(g1*g2^2*y) - (g1*g2^2*t^7.133)/(g3^6*y) - (g1^2*g2*t^7.136)/(g3^6*y) - t^7.85/(g3^5*y) + (g1*g2^2*t^7.923)/(g3^13*y) - (g3^9*t^7.954)/(g1^2*g2*y) - (g1^2*g2^4*t^7.996)/(g3^21*y) + (g2*g3*t^8.027)/(g1*y) + (g3*t^8.03)/y - (g1*g2^2*t^8.103)/(g3^7*y) - (g1^2*g2*t^8.106)/(g3^7*y) + (g1^2*g2^4*t^8.176)/(g3^15*y) + (g1^3*g2^3*t^8.179)/(g3^15*y) - (g1*g2^2*t^8.893)/(g3^14*y) + (g3^8*t^8.927)/(g1*g2^2*y) - (g1^2*g2^4*t^8.966)/(g3^22*y) - (t^3.97*y)/g3 - (t^4.94*y)/g3^2 - (g1*g2^2*t^5.983*y)/g3^11 - (t^6.88*y)/g3^4 - (g1*g2^2*t^6.953*y)/g3^12 - (g3^10*t^6.984*y)/(g1^2*g2) - (g3^10*t^6.987*y)/(g1*g2^2) - (g1*g2^2*t^7.133*y)/g3^6 - (g1^2*g2*t^7.136*y)/g3^6 - (t^7.85*y)/g3^5 + (g1*g2^2*t^7.923*y)/g3^13 - (g3^9*t^7.954*y)/(g1^2*g2) - (g1^2*g2^4*t^7.996*y)/g3^21 + (g2*g3*t^8.027*y)/g1 + g3*t^8.03*y - (g1*g2^2*t^8.103*y)/g3^7 - (g1^2*g2*t^8.106*y)/g3^7 + (g1^2*g2^4*t^8.176*y)/g3^15 + (g1^3*g2^3*t^8.179*y)/g3^15 - (g1*g2^2*t^8.893*y)/g3^14 + (g3^8*t^8.927*y)/(g1*g2^2) - (g1^2*g2^4*t^8.966*y)/g3^22 + (t^8.91*y^2)/g3^3 - (g1*g2^2*t^8.983*y^2)/g3^11

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
57691	${}\phi_{1}q_{1}^{2}q_{2}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }M_{1}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{1}q_{1}\tilde{q}_{1}$	1.4007	1.5922	0.8798	[X:[1.3576], M:[0.791], q:[0.6667, 0.3455], qb:[0.5424, 0.5184], phi:[0.3212]]	t^2.37 + t^2.59 + t^2.66 + t^2.89 + 2*t^3.56 + t^3.63 + t^4.07 + 2*t^4.52 + 2*t^4.59 + t^4.75 + t^4.96 + t^5.04 + t^5.18 + 2*t^5.26 + t^5.33 + 2*t^5.48 + 2*t^5.55 + t^5.7 + t^5.77 + t^5.78 + t^5.93 - t^6. - t^3.96/y - t^4.93/y - t^3.96*y - t^4.93*y	detail
57576	${}\phi_{1}q_{1}^{2}q_{2}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }M_{1}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}q_{2}\tilde{q}_{2}$	1.4843	1.7053	0.8704	[X:[1.3536], M:[0.6707, 0.6707], q:[0.5752, 0.5264], qb:[0.4796, 0.4796], phi:[0.3232]]	2*t^2.01 + t^2.91 + 2*t^3.02 + 2*t^3.16 + 3*t^4.02 + t^4.06 + 2*t^4.13 + 2*t^4.92 + 2*t^4.96 + 4*t^5.03 + 2*t^5.1 + 4*t^5.18 + 2*t^5.29 + t^5.82 + 2*t^5.93 - 5*t^6. - t^3.97/y - t^4.94/y - (2*t^5.98)/y - t^3.97*y - t^4.94*y - 2*t^5.98*y	detail
57572	${}\phi_{1}q_{1}^{2}q_{2}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }M_{1}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}^{3}$	1.4615	1.6651	0.8777	[X:[1.3411], M:[0.685, 1.0116], q:[0.5755, 0.5196], qb:[0.4659, 0.4622], phi:[0.3295]]	t^2.06 + t^2.95 + t^2.96 + t^3.03 + t^3.11 + t^3.12 + t^3.93 + t^4.02 + t^4.1 + 2*t^4.11 + t^4.92 + t^4.93 + t^5. + t^5.01 + 2*t^5.09 + t^5.1 + t^5.16 + 2*t^5.17 + t^5.18 + t^5.89 + t^5.9 + t^5.91 + t^5.98 + t^5.99 - 3*t^6. - t^3.99/y - t^4.98/y - t^3.99*y - t^4.98*y	detail
57690	${}\phi_{1}q_{1}^{2}q_{2}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }M_{1}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}q_{1}\tilde{q}_{2}$	1.0917	1.2095	0.9026	[X:[1.5289], M:[0.9422], q:[0.6864, 0.3916], qb:[0.4307, 1.078], phi:[0.2355]]	t^2.12 + t^2.47 + t^2.83 + t^3.35 + t^3.88 + t^4.24 + t^4.41 + 2*t^4.59 + t^4.93 + t^4.95 + t^5.12 + 2*t^5.29 + t^5.64 + t^5.65 + t^5.82 - t^6. - t^3.71/y - t^4.41/y - t^5.83/y - t^3.71*y - t^4.41*y - t^5.83*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

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
47876	SU3adj1nf2	${}\phi_{1}q_{1}^{2}q_{2}$ + ${ }\phi_{1}^{2}X_{1}$	1.4426	1.6227	0.889	[X:[1.353], q:[0.5758, 0.525], qb:[0.4792, 0.4792], phi:[0.3235]]	t^2.911 + 2*t^3.013 + 2*t^3.165 + 2*t^3.983 + t^4.059 + 2*t^4.135 + 2*t^4.953 + 2*t^5.106 + 2*t^5.283 + t^5.823 + 2*t^5.924 - 5*t^6. - t^3.97/y - t^4.941/y - t^3.97*y - t^4.941*y	detail