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
46204	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}^{4}$ + ${ }\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{4}\phi_{1}\tilde{q}_{2}^{2}$	0.666	0.8535	0.7803	[M:[1.1382, 0.8191, 0.8191, 0.7236], q:[0.4309, 0.4309], qb:[0.75, 0.3882], phi:[0.5]]	[M:[[0, 1], [1, 1], [-1, 0], [0, -2]], q:[[-1, -1], [1, 0]], qb:[[0, 0], [0, 1]], phi:[[0, 0]]]	2

Relevant Operators	Marginal Operators	$n_{marginal}$$-$$|F_{IR}|$	Superconformal Index	Refined index
${}M_{4}$, ${ }M_{3}$, ${ }q_{1}\tilde{q}_{2}$, ${ }M_{2}$, ${ }q_{2}\tilde{q}_{2}$, ${ }\phi_{1}^{2}$, ${ }M_{1}$, ${ }\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{1}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }M_{4}^{2}$, ${ }M_{3}M_{4}$, ${ }M_{4}q_{1}\tilde{q}_{2}$, ${ }M_{2}M_{4}$, ${ }M_{4}q_{2}\tilde{q}_{2}$, ${ }M_{3}^{2}$, ${ }M_{3}q_{1}\tilde{q}_{2}$, ${ }q_{1}^{2}\tilde{q}_{2}^{2}$, ${ }M_{2}M_{3}$, ${ }M_{3}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{1}q_{2}\tilde{q}_{2}^{2}$, ${ }M_{2}^{2}$, ${ }M_{2}q_{2}\tilde{q}_{2}$, ${ }q_{2}^{2}\tilde{q}_{2}^{2}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{3}\phi_{1}^{2}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{2}$, ${ }M_{2}\phi_{1}^{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$, ${ }M_{1}M_{4}$, ${ }M_{4}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{1}M_{3}$, ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{1}\tilde{q}_{1}\tilde{q}_{2}^{2}$, ${ }M_{1}M_{2}$, ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{2}\tilde{q}_{1}\tilde{q}_{2}^{2}$	${}$	-5	t^2.171 + 4*t^2.457 + t^3. + 2*t^3.415 + 2*t^3.957 + 3*t^4.085 + t^4.342 + 4*t^4.628 + 10*t^4.915 + t^5.171 + 4*t^5.457 + 2*t^5.585 + 6*t^5.872 - 5*t^6. + 3*t^6.256 + 8*t^6.415 + t^6.513 + 8*t^6.543 + 4*t^6.799 + 2*t^6.829 - 2*t^6.957 + 9*t^7.085 + t^7.342 + 20*t^7.372 - 2*t^7.5 + 2*t^7.756 + 9*t^7.915 + 8*t^8.043 + 12*t^8.329 + 3*t^8.427 - 20*t^8.457 + t^8.684 + 8*t^8.714 + 18*t^8.872 + 4*t^8.97 - t^4.5/y - t^6.671/y - (2*t^6.957)/y + t^7.085/y + (4*t^7.628)/y + (5*t^7.915)/y + (2*t^8.043)/y + t^8.171/y + t^8.329/y + (4*t^8.457)/y + (2*t^8.585)/y - t^8.842/y + (8*t^8.872)/y - t^4.5*y - t^6.671*y - 2*t^6.957*y + t^7.085*y + 4*t^7.628*y + 5*t^7.915*y + 2*t^8.043*y + t^8.171*y + t^8.329*y + 4*t^8.457*y + 2*t^8.585*y - t^8.842*y + 8*t^8.872*y	t^2.171/g2^2 + (2*t^2.457)/g1 + 2*g1*g2*t^2.457 + t^3. + 2*g2*t^3.415 + t^3.957/g1 + g1*g2*t^3.957 + g1^2*t^4.085 + t^4.085/(g1^2*g2^2) + t^4.085/g2 + t^4.342/g2^4 + (2*t^4.628)/(g1*g2^2) + (2*g1*t^4.628)/g2 + (3*t^4.915)/g1^2 + 4*g2*t^4.915 + 3*g1^2*g2^2*t^4.915 + t^5.171/g2^2 + (2*t^5.457)/g1 + 2*g1*g2*t^5.457 + (2*t^5.585)/g2 + (3*g2*t^5.872)/g1 + 3*g1*g2^2*t^5.872 - 3*t^6. - t^6./(g1^2*g2) - g1^2*g2*t^6. + t^6.256/(g1^2*g2^4) + t^6.256/g2^3 + (g1^2*t^6.256)/g2^2 + (2*t^6.415)/g1^2 + 4*g2*t^6.415 + 2*g1^2*g2^2*t^6.415 + t^6.513/g2^6 + 2*g1*t^6.543 + (2*t^6.543)/(g1^3*g2^2) + (2*t^6.543)/(g1*g2) + 2*g1^3*g2*t^6.543 + (2*t^6.799)/(g1*g2^4) + (2*g1*t^6.799)/g2^3 + 2*g2^2*t^6.829 - t^6.957/g1 - g1*g2*t^6.957 + 3*g1^2*t^7.085 + (3*t^7.085)/(g1^2*g2^2) + (3*t^7.085)/g2 + t^7.342/g2^4 + (4*t^7.372)/g1^3 + (6*g2*t^7.372)/g1 + 6*g1*g2^2*t^7.372 + 4*g1^3*g2^3*t^7.372 - 2*t^7.5 + (2*t^7.756)/g2^3 + (3*t^7.915)/g1^2 + 3*g2*t^7.915 + 3*g1^2*g2^2*t^7.915 + 3*g1*t^8.043 + t^8.043/(g1^3*g2^2) + (3*t^8.043)/(g1*g2) + g1^3*g2*t^8.043 + g1^4*t^8.171 + t^8.171/(g1^4*g2^4) - (2*t^8.171)/g2^2 + (4*g2*t^8.329)/g1^2 + 4*g2^2*t^8.329 + 4*g1^2*g2^3*t^8.329 + t^8.427/(g1^2*g2^6) + t^8.427/g2^5 + (g1^2*t^8.427)/g2^4 - (8*t^8.457)/g1 - (2*t^8.457)/(g1^3*g2) - 8*g1*g2*t^8.457 - 2*g1^3*g2^2*t^8.457 + t^8.684/g2^8 + (2*t^8.714)/(g1^3*g2^4) + (2*t^8.714)/(g1*g2^3) + (2*g1*t^8.714)/g2^2 + (2*g1^3*t^8.714)/g2 + (3*t^8.872)/g1^3 + (6*g2*t^8.872)/g1 + 6*g1*g2^2*t^8.872 + 3*g1^3*g2^3*t^8.872 + (2*t^8.97)/(g1*g2^6) + (2*g1*t^8.97)/g2^5 - t^4.5/y - t^6.671/(g2^2*y) - t^6.957/(g1*y) - (g1*g2*t^6.957)/y + t^7.085/(g2*y) + (2*t^7.628)/(g1*g2^2*y) + (2*g1*t^7.628)/(g2*y) + t^7.915/(g1^2*y) + (3*g2*t^7.915)/y + (g1^2*g2^2*t^7.915)/y + (g1*t^8.043)/y + t^8.043/(g1*g2*y) + t^8.171/(g2^2*y) + (g2^2*t^8.329)/y + (2*t^8.457)/(g1*y) + (2*g1*g2*t^8.457)/y + (2*t^8.585)/(g2*y) - t^8.842/(g2^4*y) + (4*g2*t^8.872)/(g1*y) + (4*g1*g2^2*t^8.872)/y - t^4.5*y - (t^6.671*y)/g2^2 - (t^6.957*y)/g1 - g1*g2*t^6.957*y + (t^7.085*y)/g2 + (2*t^7.628*y)/(g1*g2^2) + (2*g1*t^7.628*y)/g2 + (t^7.915*y)/g1^2 + 3*g2*t^7.915*y + g1^2*g2^2*t^7.915*y + g1*t^8.043*y + (t^8.043*y)/(g1*g2) + (t^8.171*y)/g2^2 + g2^2*t^8.329*y + (2*t^8.457*y)/g1 + 2*g1*g2*t^8.457*y + (2*t^8.585*y)/g2 - (t^8.842*y)/g2^4 + (4*g2*t^8.872*y)/g1 + 4*g1*g2^2*t^8.872*y

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
46676	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}^{4}$ + ${ }\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{4}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{2}$	0.6868	0.8944	0.7679	[M:[1.1389, 0.821, 0.8179, 0.7222, 0.679], q:[0.429, 0.4321], qb:[0.75, 0.3889], phi:[0.5]]	t^2.037 + t^2.167 + 2*t^2.454 + 2*t^2.463 + t^3. + 2*t^3.417 + t^3.954 + 2*t^4.074 + t^4.083 + t^4.093 + t^4.204 + t^4.333 + 2*t^4.491 + 2*t^4.5 + 2*t^4.62 + 2*t^4.63 + 3*t^4.907 + 4*t^4.917 + 3*t^4.926 + t^5.037 + t^5.167 + 4*t^5.454 + 2*t^5.463 + 2*t^5.583 + 3*t^5.87 + 3*t^5.88 - 3*t^6. - t^4.5/y - t^4.5*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
45946	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}^{4}$ + ${ }\phi_{1}\tilde{q}_{1}^{2}$	0.6467	0.8193	0.7892	[M:[1.1186, 0.8093, 0.8093], q:[0.4407, 0.4407], qb:[0.75, 0.3686], phi:[0.5]]	4*t^2.428 + t^3. + 2*t^3.356 + t^3.711 + 2*t^3.928 + 3*t^4.144 + 10*t^4.856 + 4*t^5.428 + 6*t^5.784 - 5*t^6. - t^4.5/y - t^4.5*y	detail