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 =

Search for theories with rational R-charges and central 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
45900	SU2adj1nf2	${}\phi_{1}q_{1}q_{2}$ + ${ }M_{1}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}q_{2}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$	0.669	0.8356	0.8006	[M:[0.7, 0.6922, 0.6922], q:[0.825, 0.825], qb:[0.4828, 0.4672], phi:[0.35]]	[M:[[0, -2, -2], [-1, -3, 0], [1, -4, -1]], 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
${}M_{2}$, ${ }M_{3}$, ${ }M_{1}$, ${ }\phi_{1}^{2}$, ${ }\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }q_{2}\tilde{q}_{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{2}^{2}$, ${ }M_{3}^{2}$, ${ }M_{2}M_{3}$, ${ }M_{1}M_{3}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{1}M_{2}$, ${ }M_{2}\phi_{1}^{2}$, ${ }M_{1}^{2}$, ${ }M_{1}\phi_{1}^{2}$, ${ }\phi_{1}^{4}$, ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{1}q_{2}$, ${ }M_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\tilde{q}_{1}^{2}\tilde{q}_{2}^{2}$, ${ }M_{3}\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{2}\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{3}q_{2}\tilde{q}_{2}$, ${ }M_{3}q_{1}\tilde{q}_{2}$, ${ }M_{2}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}^{3}\tilde{q}_{2}^{2}$, ${ }M_{2}q_{1}\tilde{q}_{2}$, ${ }M_{1}q_{2}\tilde{q}_{2}$, ${ }M_{1}q_{1}\tilde{q}_{2}$	${}$	-3	2*t^2.077 + 2*t^2.1 + t^2.85 + t^3.853 + 2*t^3.877 + t^3.947 + 3*t^4.153 + 4*t^4.177 + 3*t^4.2 + 2*t^4.927 + 3*t^4.95 + t^5.7 + 2*t^5.93 + 5*t^5.953 + 2*t^5.977 - 3*t^6. + t^6.047 + 4*t^6.23 + 6*t^6.253 + 6*t^6.277 + 4*t^6.3 + t^6.703 + 2*t^6.727 + t^6.797 + 2*t^7.003 + 4*t^7.027 + 3*t^7.05 - 2*t^7.073 - t^7.097 + t^7.706 + 2*t^7.73 + 2*t^7.753 + t^7.8 - t^7.847 + t^7.894 + 3*t^8.006 + 8*t^8.03 + 5*t^8.053 - 4*t^8.077 - 6*t^8.1 - 2*t^8.123 + t^8.147 + 5*t^8.306 + 8*t^8.33 + 9*t^8.353 + 8*t^8.377 + 5*t^8.4 + t^8.55 + 2*t^8.78 + 5*t^8.803 + 2*t^8.827 - 5*t^8.85 - 2*t^8.873 + t^8.897 - t^4.05/y - (2*t^6.127)/y - (2*t^6.15)/y + t^7.153/y + (4*t^7.177)/y + t^7.2/y + (2*t^7.927)/y + (4*t^7.95)/y + (2*t^7.973)/y - (3*t^8.203)/y - (4*t^8.227)/y - (3*t^8.25)/y + (2*t^8.93)/y + (6*t^8.953)/y + (4*t^8.977)/y - t^4.05*y - 2*t^6.127*y - 2*t^6.15*y + t^7.153*y + 4*t^7.177*y + t^7.2*y + 2*t^7.927*y + 4*t^7.95*y + 2*t^7.973*y - 3*t^8.203*y - 4*t^8.227*y - 3*t^8.25*y + 2*t^8.93*y + 6*t^8.953*y + 4*t^8.977*y	t^2.077/(g1*g2^3) + (g1*t^2.077)/(g2^4*g3) + (2*t^2.1)/(g2^2*g3^2) + g2^3*g3^3*t^2.85 + (g3^5*t^3.853)/g2 + g1*g3^3*t^3.877 + (g2*g3^4*t^3.877)/g1 + (g2^5*t^3.947)/g3 + t^4.153/(g1^2*g2^6) + (g1^2*t^4.153)/(g2^8*g3^2) + t^4.153/(g2^7*g3) + (2*g1*t^4.177)/(g2^6*g3^3) + (2*t^4.177)/(g1*g2^5*g3^2) + (3*t^4.2)/(g2^4*g3^4) + (g1*g3^2*t^4.927)/g2 + (g3^3*t^4.927)/g1 + 3*g2*g3*t^4.95 + g2^6*g3^6*t^5.7 + (g1*g3^4*t^5.93)/g2^5 + (g3^5*t^5.93)/(g1*g2^4) + (g1^2*g3^2*t^5.953)/g2^4 + (3*g3^3*t^5.953)/g2^3 + (g3^4*t^5.953)/(g1^2*g2^2) + (g1*g3*t^5.977)/g2^2 + (g3^2*t^5.977)/(g1*g2) - 3*t^6. + (g2^3*t^6.047)/g3^3 + t^6.23/(g1^3*g2^9) + (g1^3*t^6.23)/(g2^12*g3^3) + (g1*t^6.23)/(g2^11*g3^2) + t^6.23/(g1*g2^10*g3) + (2*g1^2*t^6.253)/(g2^10*g3^4) + (2*t^6.253)/(g2^9*g3^3) + (2*t^6.253)/(g1^2*g2^8*g3^2) + (3*g1*t^6.277)/(g2^8*g3^5) + (3*t^6.277)/(g1*g2^7*g3^4) + (4*t^6.3)/(g2^6*g3^6) + g2^2*g3^8*t^6.703 + g1*g2^3*g3^6*t^6.727 + (g2^4*g3^7*t^6.727)/g1 + g2^8*g3^2*t^6.797 + (g1^2*g3*t^7.003)/g2^5 + (g3^3*t^7.003)/(g1^2*g2^3) + (2*g1*t^7.027)/g2^3 + (2*g3*t^7.027)/(g1*g2^2) + (3*t^7.05)/(g2*g3) - (g1*t^7.073)/g3^3 - (g2*t^7.073)/(g1*g3^2) - (g2^2*t^7.097)/g3^4 + (g3^10*t^7.706)/g2^2 + (g1*g3^8*t^7.73)/g2 + (g3^9*t^7.73)/g1 + g1^2*g3^6*t^7.753 + (g2^2*g3^8*t^7.753)/g1^2 + g2^4*g3^4*t^7.8 - g2^7*g3*t^7.847 + (g2^10*t^7.894)/g3^2 + (g1^2*g3^3*t^8.006)/g2^9 + (g3^4*t^8.006)/g2^8 + (g3^5*t^8.006)/(g1^2*g2^7) + (g1^3*g3*t^8.03)/g2^8 + (3*g1*g3^2*t^8.03)/g2^7 + (3*g3^3*t^8.03)/(g1*g2^6) + (g3^4*t^8.03)/(g1^3*g2^5) + (g1^2*t^8.053)/g2^6 + (3*g3*t^8.053)/g2^5 + (g3^2*t^8.053)/(g1^2*g2^4) - (2*t^8.077)/(g1*g2^3) - (2*g1*t^8.077)/(g2^4*g3) - (6*t^8.1)/(g2^2*g3^2) - (g1*t^8.123)/(g2*g3^4) - t^8.123/(g1*g3^3) + (g2*t^8.147)/g3^5 + t^8.306/(g1^4*g2^12) + (g1^4*t^8.306)/(g2^16*g3^4) + (g1^2*t^8.306)/(g2^15*g3^3) + t^8.306/(g2^14*g3^2) + t^8.306/(g1^2*g2^13*g3) + (2*g1^3*t^8.33)/(g2^14*g3^5) + (2*g1*t^8.33)/(g2^13*g3^4) + (2*t^8.33)/(g1*g2^12*g3^3) + (2*t^8.33)/(g1^3*g2^11*g3^2) + (3*g1^2*t^8.353)/(g2^12*g3^6) + (3*t^8.353)/(g2^11*g3^5) + (3*t^8.353)/(g1^2*g2^10*g3^4) + (4*g1*t^8.377)/(g2^10*g3^7) + (4*t^8.377)/(g1*g2^9*g3^6) + (5*t^8.4)/(g2^8*g3^8) + g2^9*g3^9*t^8.55 + (g1*g3^7*t^8.78)/g2^2 + (g3^8*t^8.78)/(g1*g2) + (g1^2*g3^5*t^8.803)/g2 + 3*g3^6*t^8.803 + (g2*g3^7*t^8.803)/g1^2 + g1*g2*g3^4*t^8.827 + (g2^2*g3^5*t^8.827)/g1 - 5*g2^3*g3^3*t^8.85 - g1*g2^4*g3*t^8.873 - (g2^5*g3^2*t^8.873)/g1 + g2^6*t^8.897 - t^4.05/(g2*g3*y) - (g1*t^6.127)/(g2^5*g3^2*y) - t^6.127/(g1*g2^4*g3*y) - (2*t^6.15)/(g2^3*g3^3*y) + t^7.153/(g2^7*g3*y) + (2*g1*t^7.177)/(g2^6*g3^3*y) + (2*t^7.177)/(g1*g2^5*g3^2*y) + t^7.2/(g2^4*g3^4*y) + (g1*g3^2*t^7.927)/(g2*y) + (g3^3*t^7.927)/(g1*y) + (4*g2*g3*t^7.95)/y + (g2^3*t^7.973)/(g1*y) + (g1*g2^2*t^7.973)/(g3*y) - (g1^2*t^8.203)/(g2^9*g3^3*y) - t^8.203/(g2^8*g3^2*y) - t^8.203/(g1^2*g2^7*g3*y) - (2*g1*t^8.227)/(g2^7*g3^4*y) - (2*t^8.227)/(g1*g2^6*g3^3*y) - (3*t^8.25)/(g2^5*g3^5*y) + (g1*g3^4*t^8.93)/(g2^5*y) + (g3^5*t^8.93)/(g1*g2^4*y) + (g1^2*g3^2*t^8.953)/(g2^4*y) + (4*g3^3*t^8.953)/(g2^3*y) + (g3^4*t^8.953)/(g1^2*g2^2*y) + (2*g1*g3*t^8.977)/(g2^2*y) + (2*g3^2*t^8.977)/(g1*g2*y) - (t^4.05*y)/(g2*g3) - (g1*t^6.127*y)/(g2^5*g3^2) - (t^6.127*y)/(g1*g2^4*g3) - (2*t^6.15*y)/(g2^3*g3^3) + (t^7.153*y)/(g2^7*g3) + (2*g1*t^7.177*y)/(g2^6*g3^3) + (2*t^7.177*y)/(g1*g2^5*g3^2) + (t^7.2*y)/(g2^4*g3^4) + (g1*g3^2*t^7.927*y)/g2 + (g3^3*t^7.927*y)/g1 + 4*g2*g3*t^7.95*y + (g2^3*t^7.973*y)/g1 + (g1*g2^2*t^7.973*y)/g3 - (g1^2*t^8.203*y)/(g2^9*g3^3) - (t^8.203*y)/(g2^8*g3^2) - (t^8.203*y)/(g1^2*g2^7*g3) - (2*g1*t^8.227*y)/(g2^7*g3^4) - (2*t^8.227*y)/(g1*g2^6*g3^3) - (3*t^8.25*y)/(g2^5*g3^5) + (g1*g3^4*t^8.93*y)/g2^5 + (g3^5*t^8.93*y)/(g1*g2^4) + (g1^2*g3^2*t^8.953*y)/g2^4 + (4*g3^3*t^8.953*y)/g2^3 + (g3^4*t^8.953*y)/(g1^2*g2^2) + (2*g1*g3*t^8.977*y)/g2^2 + (2*g3^2*t^8.977*y)/(g1*g2)

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
45999	${}\phi_{1}q_{1}q_{2}$ + ${ }M_{1}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}q_{2}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{2}M_{3}$	0.5458	0.6894	0.7916	[M:[0.8656, 1.0, 1.0], q:[0.7836, 0.7836], qb:[0.2164, 0.4852], phi:[0.4328]]	t^2.105 + 3*t^2.597 + 2*t^3. + 2*t^3.806 + 2*t^4.21 + 4*t^4.702 + 2*t^5.105 + 5*t^5.194 + 4*t^5.597 + 2*t^5.911 - t^6. - t^4.298/y - t^4.298*y	detail
45981	${}\phi_{1}q_{1}q_{2}$ + ${ }M_{1}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}q_{2}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}^{2}$	0.5539	0.7073	0.7832	[M:[0.8693, 1.1307, 0.7198], q:[0.9882, 0.5772], qb:[0.2921, 0.4041], phi:[0.4346]]	t^2.088 + t^2.159 + 2*t^2.608 + t^2.944 + t^3.056 + t^3.392 + t^3.728 + 2*t^4.177 + t^4.248 + t^4.319 + 3*t^4.696 + 2*t^4.767 + t^5.032 + t^5.103 + t^5.145 + 3*t^5.216 + t^5.481 + 2*t^5.552 + t^5.664 + t^5.817 + 2*t^5.888 - t^6. - t^4.304/y - t^4.304*y	detail
45953	${}\phi_{1}q_{1}q_{2}$ + ${ }M_{1}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}q_{2}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{3}\phi_{1}\tilde{q}_{2}^{2}$	0.6689	0.8347	0.8013	[M:[0.6985, 0.6929, 0.7013], q:[0.8212, 0.8296], qb:[0.4775, 0.4747], phi:[0.3493]]	t^2.079 + 2*t^2.096 + t^2.104 + t^2.857 + t^3.888 + t^3.896 + 2*t^3.913 + t^4.158 + 2*t^4.174 + t^4.183 + 3*t^4.191 + 2*t^4.2 + t^4.208 + t^4.935 + 3*t^4.952 + t^4.961 + t^5.713 + t^5.966 + t^5.975 + t^5.983 + 3*t^5.992 - 2*t^6. - t^4.048/y - t^4.048*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
45852	SU2adj1nf2	${}\phi_{1}q_{1}q_{2}$ + ${ }M_{1}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}q_{2}\tilde{q}_{1}$	0.6485	0.7964	0.8143	[M:[0.7044, 0.6901], q:[0.8132, 0.8346], qb:[0.4753, 0.4681], phi:[0.3522]]	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. - t^4.057/y - t^4.057*y	detail