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
45906	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}^{4}$	0.6988	0.8648	0.8081	[M:[0.9484, 0.9484, 0.9484], q:[0.5258, 0.5258], qb:[0.5258, 0.4226], phi:[0.5]]	[M:[[0, 1, 1], [1, 0, 1], [-1, -1, 0]], q:[[-1, -1, -1], [1, 0, 0]], qb:[[0, 1, 0], [0, 0, 1]], phi:[[0, 0, 0]]]	3

Relevant Operators	Marginal Operators	$n_{marginal}$$-$$|F_{IR}|$	Superconformal Index	Refined index
${}M_{3}$, ${ }q_{1}\tilde{q}_{2}$, ${ }M_{2}$, ${ }q_{2}\tilde{q}_{2}$, ${ }M_{1}$, ${ }\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}q_{1}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }M_{3}^{2}$, ${ }M_{3}q_{1}\tilde{q}_{2}$, ${ }q_{1}^{2}\tilde{q}_{2}^{2}$, ${ }M_{1}M_{3}$, ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{1}\tilde{q}_{1}\tilde{q}_{2}^{2}$, ${ }M_{2}M_{3}$, ${ }M_{3}q_{2}\tilde{q}_{2}$, ${ }q_{1}q_{2}\tilde{q}_{2}^{2}$, ${ }M_{2}^{2}$, ${ }M_{2}q_{2}\tilde{q}_{2}$, ${ }q_{2}^{2}\tilde{q}_{2}^{2}$, ${ }M_{1}M_{2}$, ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{2}\tilde{q}_{1}\tilde{q}_{2}^{2}$, ${ }M_{1}^{2}$, ${ }M_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\tilde{q}_{1}^{2}\tilde{q}_{2}^{2}$, ${ }M_{3}\phi_{1}^{2}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{2}$, ${ }M_{2}\phi_{1}^{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$, ${ }M_{1}\phi_{1}^{2}$, ${ }\phi_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$	${}$	-10	6*t^2.845 + t^3. + t^4.036 + 3*t^4.345 + 6*t^4.655 + 18*t^5.691 + 6*t^5.845 - 10*t^6. - 3*t^6.309 + 6*t^6.881 + 12*t^7.191 + 18*t^7.5 - 6*t^7.809 + t^8.072 + 3*t^8.381 + 38*t^8.536 + 24*t^8.691 - 48*t^8.845 - t^4.5/y - (3*t^7.345)/y + (3*t^7.655)/y + (15*t^8.691)/y + (6*t^8.845)/y - t^4.5*y - 3*t^7.345*y + 3*t^7.655*y + 15*t^8.691*y + 6*t^8.845*y	(2*t^2.845)/(g1*g2) + 2*g1*g3*t^2.845 + 2*g2*g3*t^2.845 + t^3. + g3^2*t^4.036 + t^4.345/(g1*g2) + g1*g3*t^4.345 + g2*g3*t^4.345 + g1^2*t^4.655 + g1*g2*t^4.655 + g2^2*t^4.655 + t^4.655/(g1^2*g2^2*g3^2) + t^4.655/(g1*g3) + t^4.655/(g2*g3) + (3*t^5.691)/(g1^2*g2^2) + (3*g3*t^5.691)/g1 + (3*g3*t^5.691)/g2 + 3*g1^2*g3^2*t^5.691 + 3*g1*g2*g3^2*t^5.691 + 3*g2^2*g3^2*t^5.691 + (2*t^5.845)/(g1*g2) + 2*g1*g3*t^5.845 + 2*g2*g3*t^5.845 - 4*t^6. - (g1*t^6.)/g2 - (g2*t^6.)/g1 - t^6./(g1*g2^2*g3) - t^6./(g1^2*g2*g3) - g1^2*g2*g3*t^6. - g1*g2^2*g3*t^6. - t^6.309/(g1*g2*g3^2) - (g1*t^6.309)/g3 - (g2*t^6.309)/g3 + (2*g3^2*t^6.881)/(g1*g2) + 2*g1*g3^3*t^6.881 + 2*g2*g3^3*t^6.881 + (2*t^7.191)/(g1^2*g2^2) + (2*g3*t^7.191)/g1 + (2*g3*t^7.191)/g2 + 2*g1^2*g3^2*t^7.191 + 2*g1*g2*g3^2*t^7.191 + 2*g2^2*g3^2*t^7.191 + (2*g1*t^7.5)/g2 + (2*g2*t^7.5)/g1 + (2*t^7.5)/(g1^3*g2^3*g3^2) + (2*t^7.5)/(g1*g2^2*g3) + (2*t^7.5)/(g1^2*g2*g3) + 2*g1^3*g3*t^7.5 + 2*g1^2*g2*g3*t^7.5 + 2*g1*g2^2*g3*t^7.5 + 2*g2^3*g3*t^7.5 - (2*t^7.809)/(g1*g2*g3^2) - (2*g1*t^7.809)/g3 - (2*g2*t^7.809)/g3 + g3^4*t^8.072 + (g3^2*t^8.381)/(g1*g2) + g1*g3^3*t^8.381 + g2*g3^3*t^8.381 + (4*t^8.536)/(g1^3*g2^3) + (4*g3*t^8.536)/(g1*g2^2) + (4*g3*t^8.536)/(g1^2*g2) + 2*g3^2*t^8.536 + (4*g1*g3^2*t^8.536)/g2 + (4*g2*g3^2*t^8.536)/g1 + 4*g1^3*g3^3*t^8.536 + 4*g1^2*g2*g3^3*t^8.536 + 4*g1*g2^2*g3^3*t^8.536 + 4*g2^3*g3^3*t^8.536 + (4*t^8.691)/(g1^2*g2^2) + (4*g3*t^8.691)/g1 + (4*g3*t^8.691)/g2 + 4*g1^2*g3^2*t^8.691 + 4*g1*g2*g3^2*t^8.691 + 4*g2^2*g3^2*t^8.691 - (2*t^8.845)/g1^2 - (2*t^8.845)/g2^2 - (10*t^8.845)/(g1*g2) - (2*t^8.845)/(g1^2*g2^3*g3) - (2*t^8.845)/(g1^3*g2^2*g3) - 10*g1*g3*t^8.845 - (2*g1^2*g3*t^8.845)/g2 - 10*g2*g3*t^8.845 - (2*g2^2*g3*t^8.845)/g1 - 2*g1^3*g2*g3^2*t^8.845 - 2*g1^2*g2^2*g3^2*t^8.845 - 2*g1*g2^3*g3^2*t^8.845 - t^4.5/y - t^7.345/(g1*g2*y) - (g1*g3*t^7.345)/y - (g2*g3*t^7.345)/y + (g1*g2*t^7.655)/y + t^7.655/(g1*g3*y) + t^7.655/(g2*g3*y) + t^8.691/(g1^2*g2^2*y) + (4*g3*t^8.691)/(g1*y) + (4*g3*t^8.691)/(g2*y) + (g1^2*g3^2*t^8.691)/y + (4*g1*g2*g3^2*t^8.691)/y + (g2^2*g3^2*t^8.691)/y + (2*t^8.845)/(g1*g2*y) + (2*g1*g3*t^8.845)/y + (2*g2*g3*t^8.845)/y - t^4.5*y - (t^7.345*y)/(g1*g2) - g1*g3*t^7.345*y - g2*g3*t^7.345*y + g1*g2*t^7.655*y + (t^7.655*y)/(g1*g3) + (t^7.655*y)/(g2*g3) + (t^8.691*y)/(g1^2*g2^2) + (4*g3*t^8.691*y)/g1 + (4*g3*t^8.691*y)/g2 + g1^2*g3^2*t^8.691*y + 4*g1*g2*g3^2*t^8.691*y + g2^2*g3^2*t^8.691*y + (2*t^8.845*y)/(g1*g2) + 2*g1*g3*t^8.845*y + 2*g2*g3*t^8.845*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
45946	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}^{4}$ + ${ }\phi_{1}\tilde{q}_{1}^{2}$	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

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
45849	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$	0.7576	0.9264	0.8177	[M:[0.7673, 0.7673, 0.7673], q:[0.6164, 0.6164], qb:[0.6164, 0.5482], phi:[0.4007]]	3*t^2.302 + t^2.404 + 3*t^3.494 + t^4.491 + 6*t^4.604 + 3*t^4.696 + 3*t^4.706 + t^4.808 + 6*t^4.9 + 6*t^5.795 + 3*t^5.898 - 10*t^6. - t^4.202/y - t^4.202*y	detail