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
46482	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{3}\phi_{1}q_{1}^{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{4}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{5}\phi_{1}\tilde{q}_{2}^{2}$	0.7101	0.9146	0.7765	[M:[0.6907, 0.6907, 0.6892, 0.6937, 0.6952], q:[0.4824, 0.827], qb:[0.827, 0.4794], phi:[0.3461]]	[M:[[-7, 1], [-7, 1], [-10, 2], [-1, -1], [2, -2]], q:[[6, -1], [1, 0]], qb:[[1, 0], [0, 1]], phi:[[-2, 0]]]	2

Relevant Operators	Marginal Operators	$n_{marginal}$$-$$|F_{IR}|$	Superconformal Index	Refined index
${}M_{3}$, ${ }M_{1}$, ${ }M_{2}$, ${ }\phi_{1}^{2}$, ${ }M_{4}$, ${ }M_{5}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{3}^{2}$, ${ }M_{1}M_{3}$, ${ }M_{2}M_{3}$, ${ }M_{1}^{2}$, ${ }M_{1}M_{2}$, ${ }M_{2}^{2}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{3}M_{4}$, ${ }M_{1}\phi_{1}^{2}$, ${ }M_{2}\phi_{1}^{2}$, ${ }M_{1}M_{4}$, ${ }M_{2}M_{4}$, ${ }M_{3}M_{5}$, ${ }\phi_{1}^{4}$, ${ }M_{1}M_{5}$, ${ }M_{2}M_{5}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{4}^{2}$, ${ }M_{5}\phi_{1}^{2}$, ${ }M_{4}M_{5}$, ${ }M_{5}^{2}$, ${ }M_{3}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{4}q_{1}\tilde{q}_{2}$, ${ }M_{5}q_{1}\tilde{q}_{2}$, ${ }q_{1}^{2}\tilde{q}_{2}^{2}$, ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{3}\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$	${}\phi_{1}q_{2}^{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}^{3}q_{1}\tilde{q}_{2}$	-1	t^2.068 + 2*t^2.072 + t^2.076 + t^2.081 + t^2.085 + t^2.885 + t^3.919 + t^3.924 + t^4.135 + 2*t^4.14 + 4*t^4.144 + 3*t^4.148 + 4*t^4.153 + 3*t^4.157 + 2*t^4.162 + t^4.166 + t^4.171 + t^4.953 + 2*t^4.957 + 2*t^4.962 + t^4.966 + t^4.971 + t^5.771 + t^5.987 + 2*t^5.991 + t^5.996 - t^6. + t^6.203 + 2*t^6.207 + 4*t^6.211 + 7*t^6.216 + 7*t^6.22 + 8*t^6.225 + 8*t^6.229 + 6*t^6.234 + 5*t^6.238 + 4*t^6.243 + 2*t^6.247 + t^6.252 + t^6.256 + t^6.804 + t^6.809 + t^7.02 + 2*t^7.025 + 4*t^7.029 + 3*t^7.034 + 3*t^7.038 + 2*t^7.043 + 2*t^7.047 + t^7.052 + t^7.056 + t^7.838 + t^7.843 - t^7.852 + t^8.054 + 2*t^8.059 + 2*t^8.063 - t^8.068 - 4*t^8.072 - 3*t^8.076 - 4*t^8.081 - 3*t^8.085 - t^8.09 + t^8.27 + 2*t^8.275 + 4*t^8.279 + 7*t^8.283 + 12*t^8.288 + 12*t^8.292 + 15*t^8.297 + 15*t^8.301 + 14*t^8.306 + 12*t^8.31 + 11*t^8.315 + 7*t^8.319 + 6*t^8.324 + 4*t^8.328 + 2*t^8.333 + t^8.337 + t^8.342 + t^8.656 + t^8.872 + t^8.876 - 2*t^8.885 - 2*t^8.89 - t^8.894 - t^4.038/y - t^6.106/y - (2*t^6.11)/y - t^6.115/y - t^6.119/y - t^6.124/y + (2*t^7.14)/y + (2*t^7.144)/y + (3*t^7.148)/y + (3*t^7.153)/y + (3*t^7.157)/y + t^7.162/y + t^7.166/y + (2*t^7.953)/y + (3*t^7.957)/y + (2*t^7.962)/y + (3*t^7.966)/y + (2*t^7.971)/y - t^8.173/y - (2*t^8.178)/y - (4*t^8.182)/y - (3*t^8.187)/y - (4*t^8.191)/y - (3*t^8.196)/y - (2*t^8.2)/y - t^8.205/y - t^8.209/y + t^8.987/y + (3*t^8.991)/y + (3*t^8.996)/y - t^4.038*y - t^6.106*y - 2*t^6.11*y - t^6.115*y - t^6.119*y - t^6.124*y + 2*t^7.14*y + 2*t^7.144*y + 3*t^7.148*y + 3*t^7.153*y + 3*t^7.157*y + t^7.162*y + t^7.166*y + 2*t^7.953*y + 3*t^7.957*y + 2*t^7.962*y + 3*t^7.966*y + 2*t^7.971*y - t^8.173*y - 2*t^8.178*y - 4*t^8.182*y - 3*t^8.187*y - 4*t^8.191*y - 3*t^8.196*y - 2*t^8.2*y - t^8.205*y - t^8.209*y + t^8.987*y + 3*t^8.991*y + 3*t^8.996*y	(g2^2*t^2.068)/g1^10 + (2*g2*t^2.072)/g1^7 + t^2.076/g1^4 + t^2.081/(g1*g2) + (g1^2*t^2.085)/g2^2 + g1^6*t^2.885 + g1*g2*t^3.919 + g1^4*t^3.924 + (g2^4*t^4.135)/g1^20 + (2*g2^3*t^4.14)/g1^17 + (4*g2^2*t^4.144)/g1^14 + (3*g2*t^4.148)/g1^11 + (4*t^4.153)/g1^8 + (3*t^4.157)/(g1^5*g2) + (2*t^4.162)/(g1^2*g2^2) + (g1*t^4.166)/g2^3 + (g1^4*t^4.171)/g2^4 + (g2^2*t^4.953)/g1^4 + (2*g2*t^4.957)/g1 + 2*g1^2*t^4.962 + (g1^5*t^4.966)/g2 + (g1^8*t^4.971)/g2^2 + g1^12*t^5.771 + (g2^3*t^5.987)/g1^9 + (2*g2^2*t^5.991)/g1^6 + (g2*t^5.996)/g1^3 - t^6. + (g2^6*t^6.203)/g1^30 + (2*g2^5*t^6.207)/g1^27 + (4*g2^4*t^6.211)/g1^24 + (7*g2^3*t^6.216)/g1^21 + (7*g2^2*t^6.22)/g1^18 + (8*g2*t^6.225)/g1^15 + (8*t^6.229)/g1^12 + (6*t^6.234)/(g1^9*g2) + (5*t^6.238)/(g1^6*g2^2) + (4*t^6.243)/(g1^3*g2^3) + (2*t^6.247)/g2^4 + (g1^3*t^6.252)/g2^5 + (g1^6*t^6.256)/g2^6 + g1^7*g2*t^6.804 + g1^10*t^6.809 + (g2^4*t^7.02)/g1^14 + (2*g2^3*t^7.025)/g1^11 + (4*g2^2*t^7.029)/g1^8 + (3*g2*t^7.034)/g1^5 + (3*t^7.038)/g1^2 + (2*g1*t^7.043)/g2 + (2*g1^4*t^7.047)/g2^2 + (g1^7*t^7.052)/g2^3 + (g1^10*t^7.056)/g2^4 + g1^2*g2^2*t^7.838 + g1^5*g2*t^7.843 - (g1^11*t^7.852)/g2 + (g2^5*t^8.054)/g1^19 + (2*g2^4*t^8.059)/g1^16 + (2*g2^3*t^8.063)/g1^13 - (g2^2*t^8.068)/g1^10 - (4*g2*t^8.072)/g1^7 - (3*t^8.076)/g1^4 - (4*t^8.081)/(g1*g2) - (3*g1^2*t^8.085)/g2^2 - (g1^5*t^8.09)/g2^3 + (g2^8*t^8.27)/g1^40 + (2*g2^7*t^8.275)/g1^37 + (4*g2^6*t^8.279)/g1^34 + (7*g2^5*t^8.283)/g1^31 + (12*g2^4*t^8.288)/g1^28 + (12*g2^3*t^8.292)/g1^25 + (15*g2^2*t^8.297)/g1^22 + (15*g2*t^8.301)/g1^19 + (14*t^8.306)/g1^16 + (12*t^8.31)/(g1^13*g2) + (11*t^8.315)/(g1^10*g2^2) + (7*t^8.319)/(g1^7*g2^3) + (6*t^8.324)/(g1^4*g2^4) + (4*t^8.328)/(g1*g2^5) + (2*g1^2*t^8.333)/g2^6 + (g1^5*t^8.337)/g2^7 + (g1^8*t^8.342)/g2^8 + g1^18*t^8.656 + (g2^3*t^8.872)/g1^3 + g2^2*t^8.876 - 2*g1^6*t^8.885 - (2*g1^9*t^8.89)/g2 - (g1^12*t^8.894)/g2^2 - t^4.038/(g1^2*y) - (g2^2*t^6.106)/(g1^12*y) - (2*g2*t^6.11)/(g1^9*y) - t^6.115/(g1^6*y) - t^6.119/(g1^3*g2*y) - t^6.124/(g2^2*y) + (2*g2^3*t^7.14)/(g1^17*y) + (2*g2^2*t^7.144)/(g1^14*y) + (3*g2*t^7.148)/(g1^11*y) + (3*t^7.153)/(g1^8*y) + (3*t^7.157)/(g1^5*g2*y) + t^7.162/(g1^2*g2^2*y) + (g1*t^7.166)/(g2^3*y) + (2*g2^2*t^7.953)/(g1^4*y) + (3*g2*t^7.957)/(g1*y) + (2*g1^2*t^7.962)/y + (3*g1^5*t^7.966)/(g2*y) + (2*g1^8*t^7.971)/(g2^2*y) - (g2^4*t^8.173)/(g1^22*y) - (2*g2^3*t^8.178)/(g1^19*y) - (4*g2^2*t^8.182)/(g1^16*y) - (3*g2*t^8.187)/(g1^13*y) - (4*t^8.191)/(g1^10*y) - (3*t^8.196)/(g1^7*g2*y) - (2*t^8.2)/(g1^4*g2^2*y) - t^8.205/(g1*g2^3*y) - (g1^2*t^8.209)/(g2^4*y) + (g2^3*t^8.987)/(g1^9*y) + (3*g2^2*t^8.991)/(g1^6*y) + (3*g2*t^8.996)/(g1^3*y) - (t^4.038*y)/g1^2 - (g2^2*t^6.106*y)/g1^12 - (2*g2*t^6.11*y)/g1^9 - (t^6.115*y)/g1^6 - (t^6.119*y)/(g1^3*g2) - (t^6.124*y)/g2^2 + (2*g2^3*t^7.14*y)/g1^17 + (2*g2^2*t^7.144*y)/g1^14 + (3*g2*t^7.148*y)/g1^11 + (3*t^7.153*y)/g1^8 + (3*t^7.157*y)/(g1^5*g2) + (t^7.162*y)/(g1^2*g2^2) + (g1*t^7.166*y)/g2^3 + (2*g2^2*t^7.953*y)/g1^4 + (3*g2*t^7.957*y)/g1 + 2*g1^2*t^7.962*y + (3*g1^5*t^7.966*y)/g2 + (2*g1^8*t^7.971*y)/g2^2 - (g2^4*t^8.173*y)/g1^22 - (2*g2^3*t^8.178*y)/g1^19 - (4*g2^2*t^8.182*y)/g1^16 - (3*g2*t^8.187*y)/g1^13 - (4*t^8.191*y)/g1^10 - (3*t^8.196*y)/(g1^7*g2) - (2*t^8.2*y)/(g1^4*g2^2) - (t^8.205*y)/(g1*g2^3) - (g1^2*t^8.209*y)/g2^4 + (g2^3*t^8.987*y)/g1^9 + (3*g2^2*t^8.991*y)/g1^6 + (3*g2*t^8.996*y)/g1^3

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
46141	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{3}\phi_{1}q_{1}^{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{4}\tilde{q}_{1}\tilde{q}_{2}$	0.6896	0.8756	0.7876	[M:[0.6901, 0.6901, 0.6833, 0.7038], q:[0.4841, 0.8258], qb:[0.8258, 0.4705], phi:[0.3485]]	t^2.05 + 2*t^2.07 + t^2.091 + t^2.111 + t^2.864 + t^3.868 + t^3.889 + t^3.909 + t^4.1 + 2*t^4.12 + 4*t^4.141 + 3*t^4.161 + 3*t^4.182 + t^4.202 + t^4.223 + t^4.914 + 2*t^4.934 + 2*t^4.955 + t^4.975 + t^5.728 + t^5.918 + 3*t^5.939 + 3*t^5.959 + 2*t^5.98 - t^6. - t^4.045/y - t^4.045*y	detail