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
999	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{1}M_{6}$ + ${ }M_{3}M_{7}$ + ${ }\phi_{1}^{4}$	0.6988	0.8648	0.8081	[M:[1.0516, 0.9484, 1.0516, 0.9484, 0.9484, 0.9484, 0.9484], q:[0.4226, 0.5258], qb:[0.5258, 0.5258], phi:[0.5]]	[M:[[0, 1, 1], [0, -1, -1], [1, 0, 1], [-1, 0, -1], [-1, -1, 0], [0, -1, -1], [-1, 0, -1]], 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
${}M_{5}$, ${ }q_{1}\tilde{q}_{2}$, ${ }M_{4}$, ${ }M_{7}$, ${ }M_{2}$, ${ }M_{6}$, ${ }\phi_{1}^{2}$, ${ }\phi_{1}q_{1}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{5}^{2}$, ${ }M_{5}q_{1}\tilde{q}_{2}$, ${ }q_{1}^{2}\tilde{q}_{2}^{2}$, ${ }M_{4}^{2}$, ${ }M_{4}M_{7}$, ${ }M_{7}^{2}$, ${ }M_{2}^{2}$, ${ }M_{2}M_{6}$, ${ }M_{6}^{2}$, ${ }M_{2}M_{4}$, ${ }M_{4}M_{6}$, ${ }M_{2}M_{7}$, ${ }M_{6}M_{7}$, ${ }M_{2}M_{5}$, ${ }M_{5}M_{6}$, ${ }M_{6}q_{1}\tilde{q}_{2}$, ${ }M_{4}M_{5}$, ${ }M_{5}M_{7}$, ${ }M_{4}q_{1}\tilde{q}_{2}$, ${ }M_{7}q_{1}\tilde{q}_{2}$, ${ }M_{5}\phi_{1}^{2}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{2}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{7}\phi_{1}^{2}$, ${ }M_{2}\phi_{1}^{2}$, ${ }M_{6}\phi_{1}^{2}$	${}$	-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*t^2.845)/(g1*g3) + (2*t^2.845)/(g2*g3) + t^3. + t^4.036/(g1^2*g2^2*g3^2) + t^4.345/(g1*g2) + t^4.345/(g1*g3) + t^4.345/(g2*g3) + g1^2*t^4.655 + g1*g2*t^4.655 + g2^2*t^4.655 + g1*g3*t^4.655 + g2*g3*t^4.655 + g3^2*t^4.655 + (3*t^5.691)/(g1^2*g2^2) + (3*t^5.691)/(g1^2*g3^2) + (3*t^5.691)/(g2^2*g3^2) + (3*t^5.691)/(g1*g2*g3^2) + (3*t^5.691)/(g1*g2^2*g3) + (3*t^5.691)/(g1^2*g2*g3) + (2*t^5.845)/(g1*g2) + (2*t^5.845)/(g1*g3) + (2*t^5.845)/(g2*g3) - 4*t^6. - (g1*t^6.)/g2 - (g2*t^6.)/g1 - (g1*t^6.)/g3 - (g2*t^6.)/g3 - (g3*t^6.)/g1 - (g3*t^6.)/g2 - g1^2*g2*g3*t^6.309 - g1*g2^2*g3*t^6.309 - g1*g2*g3^2*t^6.309 + (2*t^6.881)/(g1^2*g2^3*g3^3) + (2*t^6.881)/(g1^3*g2^2*g3^3) + (2*t^6.881)/(g1^3*g2^3*g3^2) + (2*t^7.191)/(g1^2*g2^2) + (2*t^7.191)/(g1^2*g3^2) + (2*t^7.191)/(g2^2*g3^2) + (2*t^7.191)/(g1*g2*g3^2) + (2*t^7.191)/(g1*g2^2*g3) + (2*t^7.191)/(g1^2*g2*g3) + (2*g1*t^7.5)/g2 + (2*g2*t^7.5)/g1 + (2*g1*t^7.5)/g3 + (2*g1^2*t^7.5)/(g2*g3) + (2*g2*t^7.5)/g3 + (2*g2^2*t^7.5)/(g1*g3) + (2*g3*t^7.5)/g1 + (2*g3*t^7.5)/g2 + (2*g3^2*t^7.5)/(g1*g2) - 2*g1^2*g2*g3*t^7.809 - 2*g1*g2^2*g3*t^7.809 - 2*g1*g2*g3^2*t^7.809 + t^8.072/(g1^4*g2^4*g3^4) + t^8.381/(g1^2*g2^3*g3^3) + t^8.381/(g1^3*g2^2*g3^3) + t^8.381/(g1^3*g2^3*g3^2) + (4*t^8.536)/(g1^3*g2^3) + (4*t^8.536)/(g1^3*g3^3) + (4*t^8.536)/(g2^3*g3^3) + (4*t^8.536)/(g1*g2^2*g3^3) + (4*t^8.536)/(g1^2*g2*g3^3) + (4*t^8.536)/(g1*g2^3*g3^2) + (2*t^8.536)/(g1^2*g2^2*g3^2) + (4*t^8.536)/(g1^3*g2*g3^2) + (4*t^8.536)/(g1^2*g2^3*g3) + (4*t^8.536)/(g1^3*g2^2*g3) + (4*t^8.691)/(g1^2*g2^2) + (4*t^8.691)/(g1^2*g3^2) + (4*t^8.691)/(g2^2*g3^2) + (4*t^8.691)/(g1*g2*g3^2) + (4*t^8.691)/(g1*g2^2*g3) + (4*t^8.691)/(g1^2*g2*g3) - (2*t^8.845)/g1^2 - (2*t^8.845)/g2^2 - (10*t^8.845)/(g1*g2) - (2*t^8.845)/g3^2 - (2*g1*t^8.845)/(g2*g3^2) - (2*g2*t^8.845)/(g1*g3^2) - (10*t^8.845)/(g1*g3) - (2*g1*t^8.845)/(g2^2*g3) - (10*t^8.845)/(g2*g3) - (2*g2*t^8.845)/(g1^2*g3) - (2*g3*t^8.845)/(g1*g2^2) - (2*g3*t^8.845)/(g1^2*g2) - t^4.5/y - t^7.345/(g1*g2*y) - t^7.345/(g1*g3*y) - t^7.345/(g2*g3*y) + (g1*g2*t^7.655)/y + (g1*g3*t^7.655)/y + (g2*g3*t^7.655)/y + t^8.691/(g1^2*g2^2*y) + t^8.691/(g1^2*g3^2*y) + t^8.691/(g2^2*g3^2*y) + (4*t^8.691)/(g1*g2*g3^2*y) + (4*t^8.691)/(g1*g2^2*g3*y) + (4*t^8.691)/(g1^2*g2*g3*y) + (2*t^8.845)/(g1*g2*y) + (2*t^8.845)/(g1*g3*y) + (2*t^8.845)/(g2*g3*y) - t^4.5*y - (t^7.345*y)/(g1*g2) - (t^7.345*y)/(g1*g3) - (t^7.345*y)/(g2*g3) + g1*g2*t^7.655*y + g1*g3*t^7.655*y + g2*g3*t^7.655*y + (t^8.691*y)/(g1^2*g2^2) + (t^8.691*y)/(g1^2*g3^2) + (t^8.691*y)/(g2^2*g3^2) + (4*t^8.691*y)/(g1*g2*g3^2) + (4*t^8.691*y)/(g1*g2^2*g3) + (4*t^8.691*y)/(g1^2*g2*g3) + (2*t^8.845*y)/(g1*g2) + (2*t^8.845*y)/(g1*g3) + (2*t^8.845*y)/(g2*g3)

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
613	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{1}M_{6}$ + ${ }M_{3}M_{7}$	0.7576	0.9264	0.8177	[M:[0.8355, 0.7673, 0.8355, 0.7673, 0.7673, 1.1645, 1.1645], q:[0.5482, 0.6164], qb:[0.6164, 0.6164], 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