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
4463	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{2}M_{3}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{4}\phi_{1}q_{2}^{2}$ + ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$ + ${ }M_{7}q_{1}\tilde{q}_{2}$ + ${ }M_{8}\phi_{1}\tilde{q}_{1}^{2}$	0.6754	0.9209	0.7334	[M:[0.9222, 1.2333, 0.7667, 0.7667, 0.6944, 0.7667, 0.8499, 0.7667], q:[0.7306, 0.3472], qb:[0.3472, 0.4196], phi:[0.5389]]	[M:[[4], [-12], [12], [12], [-10], [12], [-18], [12]], q:[[1], [-5]], qb:[[-5], [17]], phi:[[-2]]]	1

Relevant Operators	Marginal Operators	$n_{marginal}$$-$$|F_{IR}|$	Superconformal Index	Refined index
${}M_{5}$, ${ }q_{2}\tilde{q}_{1}$, ${ }M_{3}$, ${ }M_{4}$, ${ }M_{6}$, ${ }M_{8}$, ${ }q_{2}\tilde{q}_{2}$, ${ }M_{7}$, ${ }M_{1}$, ${ }\phi_{1}^{2}$, ${ }q_{1}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{5}^{2}$, ${ }M_{5}q_{2}\tilde{q}_{1}$, ${ }q_{2}^{2}\tilde{q}_{1}^{2}$, ${ }M_{3}M_{5}$, ${ }M_{4}M_{5}$, ${ }M_{5}M_{6}$, ${ }M_{5}M_{8}$, ${ }M_{3}q_{2}\tilde{q}_{1}$, ${ }M_{4}q_{2}\tilde{q}_{1}$, ${ }M_{6}q_{2}\tilde{q}_{1}$, ${ }M_{8}q_{2}\tilde{q}_{1}$, ${ }M_{5}q_{2}\tilde{q}_{2}$, ${ }q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{3}^{2}$, ${ }M_{3}M_{4}$, ${ }M_{4}^{2}$, ${ }M_{3}M_{6}$, ${ }M_{4}M_{6}$, ${ }M_{6}^{2}$, ${ }M_{3}M_{8}$, ${ }M_{4}M_{8}$, ${ }M_{6}M_{8}$, ${ }M_{8}^{2}$, ${ }M_{3}q_{2}\tilde{q}_{2}$, ${ }M_{4}q_{2}\tilde{q}_{2}$, ${ }M_{6}q_{2}\tilde{q}_{2}$, ${ }M_{8}q_{2}\tilde{q}_{2}$, ${ }q_{2}^{2}\tilde{q}_{2}^{2}$, ${ }M_{5}M_{7}$, ${ }M_{7}q_{2}\tilde{q}_{1}$, ${ }M_{1}M_{5}$, ${ }M_{3}M_{7}$, ${ }M_{4}M_{7}$, ${ }M_{6}M_{7}$, ${ }M_{7}M_{8}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{7}q_{2}\tilde{q}_{2}$, ${ }M_{1}M_{3}$, ${ }M_{1}M_{4}$, ${ }M_{1}M_{6}$, ${ }M_{1}M_{8}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{7}^{2}$, ${ }M_{1}M_{7}$, ${ }M_{5}\phi_{1}^{2}$, ${ }M_{5}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$, ${ }q_{1}q_{2}\tilde{q}_{1}^{2}$, ${ }M_{1}^{2}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{6}\phi_{1}^{2}$, ${ }M_{8}\phi_{1}^{2}$, ${ }M_{3}q_{1}\tilde{q}_{1}$, ${ }M_{4}q_{1}\tilde{q}_{1}$, ${ }M_{6}q_{1}\tilde{q}_{1}$, ${ }M_{8}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$	${}M_{5}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$	-3	2*t^2.083 + 5*t^2.3 + t^2.55 + t^2.767 + 2*t^3.233 + t^3.917 + t^4.134 + 3*t^4.166 + 10*t^4.383 + 15*t^4.6 + 2*t^4.633 + 7*t^4.85 + 5*t^5.067 + t^5.099 + 5*t^5.316 + 10*t^5.533 - 3*t^6. + 4*t^6.217 + 4*t^6.249 + 5*t^6.434 + 14*t^6.467 + 29*t^6.684 + 3*t^6.716 + 35*t^6.901 + 10*t^6.933 + 21*t^7.15 + 2*t^7.182 + 15*t^7.367 + 10*t^7.4 + 17*t^7.617 + t^7.649 + 25*t^7.834 + t^7.866 + t^8.051 - 7*t^8.083 + t^8.268 - 18*t^8.3 + 5*t^8.333 + 10*t^8.517 + 11*t^8.55 + 15*t^8.734 + 30*t^8.767 + 4*t^8.799 + 63*t^8.984 - t^4.617/y - t^6.7/y - (3*t^6.917)/y + (10*t^7.383)/y + (10*t^7.6)/y + (2*t^7.633)/y + (7*t^7.85)/y + (6*t^8.067)/y + (8*t^8.316)/y + (11*t^8.533)/y + t^8.783/y - t^4.617*y - t^6.7*y - 3*t^6.917*y + 10*t^7.383*y + 10*t^7.6*y + 2*t^7.633*y + 7*t^7.85*y + 6*t^8.067*y + 8*t^8.316*y + 11*t^8.533*y + t^8.783*y	(2*t^2.083)/g1^10 + 5*g1^12*t^2.3 + t^2.55/g1^18 + g1^4*t^2.767 + (2*t^3.233)/g1^4 + g1^10*t^3.917 + g1^32*t^4.134 + (3*t^4.166)/g1^20 + 10*g1^2*t^4.383 + 15*g1^24*t^4.6 + (2*t^4.633)/g1^28 + (7*t^4.85)/g1^6 + 5*g1^16*t^5.067 + t^5.099/g1^36 + (5*t^5.316)/g1^14 + 10*g1^8*t^5.533 - 3*t^6. + 4*g1^22*t^6.217 + (4*t^6.249)/g1^30 + 5*g1^44*t^6.434 + (14*t^6.467)/g1^8 + 29*g1^14*t^6.684 + (3*t^6.716)/g1^38 + 35*g1^36*t^6.901 + (10*t^6.933)/g1^16 + 21*g1^6*t^7.15 + (2*t^7.182)/g1^46 + 15*g1^28*t^7.367 + (10*t^7.4)/g1^24 + (17*t^7.617)/g1^2 + t^7.649/g1^54 + 25*g1^20*t^7.834 + t^7.866/g1^32 + g1^42*t^8.051 - (7*t^8.083)/g1^10 + g1^64*t^8.268 - 18*g1^12*t^8.3 + (5*t^8.333)/g1^40 + 10*g1^34*t^8.517 + (11*t^8.55)/g1^18 + 15*g1^56*t^8.734 + 30*g1^4*t^8.767 + (4*t^8.799)/g1^48 + 63*g1^26*t^8.984 - t^4.617/(g1^2*y) - t^6.7/(g1^12*y) - (3*g1^10*t^6.917)/y + (10*g1^2*t^7.383)/y + (10*g1^24*t^7.6)/y + (2*t^7.633)/(g1^28*y) + (7*t^7.85)/(g1^6*y) + (6*g1^16*t^8.067)/y + (8*t^8.316)/(g1^14*y) + (11*g1^8*t^8.533)/y + t^8.783/(g1^22*y) - (t^4.617*y)/g1^2 - (t^6.7*y)/g1^12 - 3*g1^10*t^6.917*y + 10*g1^2*t^7.383*y + 10*g1^24*t^7.6*y + (2*t^7.633*y)/g1^28 + (7*t^7.85*y)/g1^6 + 6*g1^16*t^8.067*y + (8*t^8.316*y)/g1^14 + 11*g1^8*t^8.533*y + (t^8.783*y)/g1^22

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
5969	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{2}M_{3}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{4}\phi_{1}q_{2}^{2}$ + ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$ + ${ }M_{7}q_{1}\tilde{q}_{2}$ + ${ }M_{8}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{9}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$	0.6961	0.9605	0.7247	[M:[0.9228, 1.2315, 0.7685, 0.7685, 0.6929, 0.7685, 0.8473, 0.7685, 0.6929], q:[0.7307, 0.3465], qb:[0.3465, 0.422], phi:[0.5386]]	3*t^2.079 + 5*t^2.305 + t^2.542 + t^2.768 + 2*t^3.232 + t^4.148 + 6*t^4.158 + 15*t^4.384 + 15*t^4.611 + 3*t^4.621 + 8*t^4.847 + 5*t^5.074 + t^5.084 + 7*t^5.31 + 10*t^5.537 - 5*t^6. - t^4.616/y - t^4.616*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
2421	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{2}M_{3}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{4}\phi_{1}q_{2}^{2}$ + ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$ + ${ }M_{7}q_{1}\tilde{q}_{2}$	0.6573	0.8878	0.7404	[M:[0.9247, 1.2259, 0.7741, 0.7741, 0.6882, 0.7741, 0.8388], q:[0.7312, 0.3441], qb:[0.3441, 0.43], phi:[0.5376]]	2*t^2.065 + 4*t^2.322 + t^2.516 + t^2.774 + 2*t^3.226 + t^3.678 + t^3.935 + 3*t^4.129 + t^4.193 + 8*t^4.387 + 2*t^4.581 + 10*t^4.645 + 6*t^4.839 + t^5.033 + 4*t^5.097 + 5*t^5.291 + 8*t^5.548 + 2*t^5.742 + t^6. - t^4.613/y - t^4.613*y	detail