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
5147	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{5}q_{2}\tilde{q}_{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{6}$ + ${ }\phi_{1}q_{1}\tilde{q}_{2}$ + ${ }M_{1}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{6}M_{7}$ + ${ }M_{8}\phi_{1}\tilde{q}_{1}^{2}$	0.6684	0.8438	0.7921	[M:[0.8064, 1.2255, 0.7427, 0.8382, 0.7109, 1.1618, 0.8382, 0.8064], q:[0.7586, 0.435], qb:[0.4032, 0.8541], phi:[0.3873]]	[M:[[2], [8], [-18], [12], [-28], [-12], [12], [2]], q:[[-13], [11]], qb:[[1], [17]], phi:[[-4]]]	1

Relevant Operators	Marginal Operators	$n_{marginal}$$-$$|F_{IR}|$	Superconformal Index	Refined index
${}M_{5}$, ${ }M_{3}$, ${ }M_{1}$, ${ }M_{8}$, ${ }M_{4}$, ${ }M_{7}$, ${ }M_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}^{2}$, ${ }M_{5}^{2}$, ${ }M_{3}M_{5}$, ${ }M_{3}^{2}$, ${ }M_{1}M_{5}$, ${ }M_{5}M_{8}$, ${ }M_{1}M_{3}$, ${ }M_{4}M_{5}$, ${ }M_{5}M_{7}$, ${ }M_{3}M_{8}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{3}M_{4}$, ${ }M_{3}M_{7}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }M_{1}^{2}$, ${ }M_{1}M_{8}$, ${ }M_{8}^{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }M_{1}M_{4}$, ${ }M_{1}M_{7}$, ${ }M_{4}M_{8}$, ${ }M_{7}M_{8}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{4}^{2}$, ${ }M_{4}M_{7}$, ${ }M_{7}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{2}M_{5}$, ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{2}M_{3}$, ${ }M_{5}\phi_{1}q_{2}^{2}$	${}M_{3}\phi_{1}q_{2}^{2}$	-2	t^2.133 + t^2.228 + 2*t^2.419 + 2*t^2.515 + 2*t^3.676 + t^3.772 + t^4.265 + t^4.361 + t^4.456 + 2*t^4.552 + 4*t^4.647 + 2*t^4.743 + 4*t^4.838 + 4*t^4.934 + 3*t^5.029 + t^5.809 + t^5.905 - 2*t^6. + 2*t^6.095 + 5*t^6.191 + 2*t^6.286 + t^6.398 + t^6.493 + t^6.589 + 3*t^6.684 + 4*t^6.78 + 4*t^6.875 + 5*t^6.971 + 6*t^7.066 + 4*t^7.162 + 5*t^7.257 + 7*t^7.353 + 6*t^7.448 + 4*t^7.544 + t^7.942 - 2*t^8.133 - 2*t^8.228 + t^8.324 - 5*t^8.419 - 2*t^8.515 + t^8.531 + 4*t^8.61 + t^8.626 + 7*t^8.706 + t^8.722 + 3*t^8.801 + 3*t^8.817 + 5*t^8.913 - t^4.162/y - t^6.294/y - t^6.39/y - (2*t^6.581)/y - t^6.676/y + t^7.361/y + (2*t^7.552)/y + (5*t^7.647)/y + (4*t^7.743)/y + t^7.838/y + (5*t^7.934)/y + (2*t^8.029)/y - t^8.427/y - t^8.523/y - t^8.618/y - (2*t^8.714)/y - t^8.809/y + (2*t^8.905)/y - t^4.162*y - t^6.294*y - t^6.39*y - 2*t^6.581*y - t^6.676*y + t^7.361*y + 2*t^7.552*y + 5*t^7.647*y + 4*t^7.743*y + t^7.838*y + 5*t^7.934*y + 2*t^8.029*y - t^8.427*y - t^8.523*y - t^8.618*y - 2*t^8.714*y - t^8.809*y + 2*t^8.905*y	t^2.133/g1^28 + t^2.228/g1^18 + 2*g1^2*t^2.419 + 2*g1^12*t^2.515 + 2*g1^8*t^3.676 + g1^18*t^3.772 + t^4.265/g1^56 + t^4.361/g1^46 + t^4.456/g1^36 + (2*t^4.552)/g1^26 + (4*t^4.647)/g1^16 + (2*t^4.743)/g1^6 + 4*g1^4*t^4.838 + 4*g1^14*t^4.934 + 3*g1^24*t^5.029 + t^5.809/g1^20 + t^5.905/g1^10 - 2*t^6. + 2*g1^10*t^6.095 + 5*g1^20*t^6.191 + 2*g1^30*t^6.286 + t^6.398/g1^84 + t^6.493/g1^74 + t^6.589/g1^64 + (3*t^6.684)/g1^54 + (4*t^6.78)/g1^44 + (4*t^6.875)/g1^34 + (5*t^6.971)/g1^24 + (6*t^7.066)/g1^14 + (4*t^7.162)/g1^4 + 5*g1^6*t^7.257 + 7*g1^16*t^7.353 + 6*g1^26*t^7.448 + 4*g1^36*t^7.544 + t^7.942/g1^48 - (2*t^8.133)/g1^28 - (2*t^8.228)/g1^18 + t^8.324/g1^8 - 5*g1^2*t^8.419 - 2*g1^12*t^8.515 + t^8.531/g1^112 + 4*g1^22*t^8.61 + t^8.626/g1^102 + 7*g1^32*t^8.706 + t^8.722/g1^92 + 3*g1^42*t^8.801 + (3*t^8.817)/g1^82 + (5*t^8.913)/g1^72 - t^4.162/(g1^4*y) - t^6.294/(g1^32*y) - t^6.39/(g1^22*y) - (2*t^6.581)/(g1^2*y) - (g1^8*t^6.676)/y + t^7.361/(g1^46*y) + (2*t^7.552)/(g1^26*y) + (5*t^7.647)/(g1^16*y) + (4*t^7.743)/(g1^6*y) + (g1^4*t^7.838)/y + (5*g1^14*t^7.934)/y + (2*g1^24*t^8.029)/y - t^8.427/(g1^60*y) - t^8.523/(g1^50*y) - t^8.618/(g1^40*y) - (2*t^8.714)/(g1^30*y) - t^8.809/(g1^20*y) + (2*t^8.905)/(g1^10*y) - (t^4.162*y)/g1^4 - (t^6.294*y)/g1^32 - (t^6.39*y)/g1^22 - (2*t^6.581*y)/g1^2 - g1^8*t^6.676*y + (t^7.361*y)/g1^46 + (2*t^7.552*y)/g1^26 + (5*t^7.647*y)/g1^16 + (4*t^7.743*y)/g1^6 + g1^4*t^7.838*y + 5*g1^14*t^7.934*y + 2*g1^24*t^8.029*y - (t^8.427*y)/g1^60 - (t^8.523*y)/g1^50 - (t^8.618*y)/g1^40 - (2*t^8.714*y)/g1^30 - (t^8.809*y)/g1^20 + (2*t^8.905*y)/g1^10

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
6724	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{5}q_{2}\tilde{q}_{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{6}$ + ${ }\phi_{1}q_{1}\tilde{q}_{2}$ + ${ }M_{1}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{6}M_{7}$ + ${ }M_{8}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{9}\phi_{1}q_{2}^{2}$	0.6879	0.8801	0.7817	[M:[0.8075, 1.2298, 0.7329, 0.8447, 0.6957, 1.1553, 0.8447, 0.8075, 0.7329], q:[0.7516, 0.441], qb:[0.4037, 0.8633], phi:[0.3851]]	t^2.087 + 2*t^2.199 + 2*t^2.422 + 2*t^2.534 + 2*t^3.689 + t^4.174 + 2*t^4.286 + 3*t^4.398 + 2*t^4.509 + 6*t^4.621 + 4*t^4.733 + 4*t^4.845 + 4*t^4.957 + 3*t^5.068 + t^5.776 + 2*t^5.888 - 3*t^6. - t^4.155/y - t^4.155*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
3474	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{5}q_{2}\tilde{q}_{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{6}$ + ${ }\phi_{1}q_{1}\tilde{q}_{2}$ + ${ }M_{1}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{6}M_{7}$	0.6523	0.8156	0.7998	[M:[0.8066, 1.2264, 0.7407, 0.8395, 0.7077, 1.1605, 0.8395], q:[0.7572, 0.4362], qb:[0.4033, 0.856], phi:[0.3868]]	t^2.123 + t^2.222 + t^2.42 + 2*t^2.519 + t^3.58 + 2*t^3.679 + t^3.778 + t^4.246 + t^4.345 + t^4.444 + t^4.543 + 3*t^4.642 + 2*t^4.741 + 2*t^4.84 + 2*t^4.938 + 3*t^5.037 + t^5.703 + 2*t^5.802 + t^5.901 - t^6. - t^4.16/y - t^4.16*y	detail