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
361	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{1}M_{4}$ + ${ }\phi_{1}^{4}$ + ${ }q_{1}q_{2}\tilde{q}_{2}^{2}$	0.6952	0.8564	0.8117	[M:[1.0534, 0.9466, 0.9738, 0.9466], q:[0.4995, 0.4471], qb:[0.5267, 0.5267], phi:[0.5]]	[M:[[0, 2], [0, -2], [1, 1], [0, -2]], q:[[-1, -2], [1, 0]], qb:[[0, 1], [0, 1]], phi:[[0, 0]]]	2

Relevant Operators	Marginal Operators	$n_{marginal}$$-$$|F_{IR}|$	Superconformal Index	Refined index
${}M_{2}$, ${ }M_{4}$, ${ }M_{3}$, ${ }q_{2}\tilde{q}_{1}$, ${ }q_{2}\tilde{q}_{2}$, ${ }\phi_{1}^{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{2}^{2}$, ${ }M_{2}M_{4}$, ${ }M_{4}^{2}$, ${ }M_{2}M_{3}$, ${ }M_{3}M_{4}$, ${ }M_{4}q_{2}\tilde{q}_{1}$, ${ }M_{4}q_{2}\tilde{q}_{2}$, ${ }M_{2}\phi_{1}^{2}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{3}^{2}$, ${ }M_{3}q_{2}\tilde{q}_{1}$, ${ }q_{2}^{2}\tilde{q}_{1}^{2}$, ${ }M_{3}q_{2}\tilde{q}_{2}$, ${ }q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{2}^{2}\tilde{q}_{2}^{2}$, ${ }M_{3}\phi_{1}^{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$	${}M_{3}q_{1}\tilde{q}_{2}$	-3	2*t^2.84 + 3*t^2.921 + t^3. + t^3.079 + t^4.182 + t^4.34 + 2*t^4.421 + t^4.497 + 2*t^4.579 + 3*t^4.66 + 3*t^5.679 + 4*t^5.761 + 2*t^5.84 + 5*t^5.843 + 3*t^5.921 - 3*t^6. + t^6.079 - 2*t^6.082 - 2*t^6.239 + 2*t^7.022 + 3*t^7.104 + 2*t^7.179 + 4*t^7.261 + 2*t^7.337 + 4*t^7.343 + 4*t^7.418 + 4*t^7.5 + t^7.576 + 5*t^7.582 - t^7.739 + t^8.365 + 4*t^8.519 + t^8.522 + 5*t^8.601 + 2*t^8.604 + 4*t^8.679 + 4*t^8.682 - t^8.758 + 6*t^8.761 + 7*t^8.764 + t^8.837 - 8*t^8.84 + 8*t^8.843 + 2*t^8.918 - 13*t^8.921 + t^8.994 - 2*t^8.997 - t^4.5/y - t^7.34/y - t^7.421/y + t^7.579/y + t^7.66/y + t^8.679/y + (6*t^8.761)/y + (2*t^8.84)/y + (3*t^8.843)/y + (2*t^8.918)/y + (3*t^8.921)/y - t^4.5*y - t^7.34*y - t^7.421*y + t^7.579*y + t^7.66*y + t^8.679*y + 6*t^8.761*y + 2*t^8.84*y + 3*t^8.843*y + 2*t^8.918*y + 3*t^8.921*y	(2*t^2.84)/g2^2 + 3*g1*g2*t^2.921 + t^3. + t^3.079/(g1*g2) + g1^2*t^4.182 + t^4.34/g2^2 + 2*g1*g2*t^4.421 + t^4.497/(g1^2*g2^4) + (2*t^4.579)/(g1*g2) + 3*g2^2*t^4.66 + (3*t^5.679)/g2^4 + (4*g1*t^5.761)/g2 + (2*t^5.84)/g2^2 + 5*g1^2*g2^2*t^5.843 + 3*g1*g2*t^5.921 - 3*t^6. + t^6.079/(g1*g2) - 2*g1*g2^3*t^6.082 - (2*g2*t^6.239)/g1 + (2*g1^2*t^7.022)/g2^2 + 3*g1^3*g2*t^7.104 + (2*t^7.179)/g2^4 + (4*g1*t^7.261)/g2 + (2*t^7.337)/(g1^2*g2^6) + 4*g1^2*g2^2*t^7.343 + (4*t^7.418)/(g1*g2^3) + 4*t^7.5 + t^7.576/(g1^3*g2^5) + 5*g1*g2^3*t^7.582 - (g2*t^7.739)/g1 + g1^4*t^8.365 + (4*t^8.519)/g2^6 + (g1^2*t^8.522)/g2^2 + (5*g1*t^8.601)/g2^3 + 2*g1^3*g2*t^8.604 + (4*t^8.679)/g2^4 + 4*g1^2*t^8.682 - t^8.758/(g1*g2^5) + (6*g1*t^8.761)/g2 + 7*g1^3*g2^3*t^8.764 + t^8.837/(g1^2*g2^6) - (8*t^8.84)/g2^2 + 8*g1^2*g2^2*t^8.843 + (2*t^8.918)/(g1*g2^3) - 13*g1*g2*t^8.921 + t^8.994/(g1^4*g2^8) - (2*t^8.997)/(g1^2*g2^4) - t^4.5/y - t^7.34/(g2^2*y) - (g1*g2*t^7.421)/y + t^7.579/(g1*g2*y) + (g2^2*t^7.66)/y + t^8.679/(g2^4*y) + (6*g1*t^8.761)/(g2*y) + (2*t^8.84)/(g2^2*y) + (3*g1^2*g2^2*t^8.843)/y + (2*t^8.918)/(g1*g2^3*y) + (3*g1*g2*t^8.921)/y - t^4.5*y - (t^7.34*y)/g2^2 - g1*g2*t^7.421*y + (t^7.579*y)/(g1*g2) + g2^2*t^7.66*y + (t^8.679*y)/g2^4 + (6*g1*t^8.761*y)/g2 + (2*t^8.84*y)/g2^2 + 3*g1^2*g2^2*t^8.843*y + (2*t^8.918*y)/(g1*g2^3) + 3*g1*g2*t^8.921*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
1785	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{1}M_{4}$ + ${ }\phi_{1}^{4}$ + ${ }q_{1}q_{2}\tilde{q}_{2}^{2}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$	0.6988	0.8648	0.8081	[M:[1.0516, 0.9484, 0.9484, 0.9484, 0.9484], q:[0.5258, 0.4226], qb:[0.5258, 0.5258], phi:[0.5]]	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. - 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
226	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{1}M_{4}$ + ${ }\phi_{1}^{4}$	0.6965	0.8596	0.8103	[M:[1.0542, 0.9458, 0.9458, 0.9458], q:[0.4985, 0.4472], qb:[0.5557, 0.4985], phi:[0.5]]	4*t^2.837 + t^2.991 + t^3. + t^3.009 + t^4.183 + 2*t^4.337 + 3*t^4.491 + t^4.509 + 2*t^4.663 + t^4.834 + 9*t^5.675 + 2*t^5.828 + 4*t^5.837 + 2*t^5.846 + t^5.982 + t^5.991 - 5*t^6. - t^4.5/y - t^4.5*y	detail