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
46947	SU2adj1nf2	${}\phi_{1}q_{1}^{2}$ + ${ }\phi_{1}^{4}$ + ${ }M_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{4}q_{1}\tilde{q}_{2}$ + ${ }M_{5}\phi_{1}q_{2}^{2}$	0.6766	0.8814	0.7676	[M:[1.1113, 0.75, 0.8887, 0.75, 0.7226], q:[0.75, 0.3887], qb:[0.3613, 0.5], phi:[0.5]]	[M:[[1], [0], [-1], [0], [2]], q:[[0], [-1]], qb:[[1], [0]], phi:[[0]]]	1

Relevant Operators	Marginal Operators	$n_{marginal}$$-$$|F_{IR}|$	Superconformal Index	Refined index
${}M_{5}$, ${ }M_{2}$, ${ }M_{4}$, ${ }q_{2}\tilde{q}_{1}$, ${ }\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{3}$, ${ }\phi_{1}^{2}$, ${ }q_{1}\tilde{q}_{1}$, ${ }q_{1}q_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{5}^{2}$, ${ }M_{2}M_{5}$, ${ }M_{4}M_{5}$, ${ }M_{5}q_{2}\tilde{q}_{1}$, ${ }M_{2}^{2}$, ${ }M_{2}M_{4}$, ${ }M_{4}^{2}$, ${ }M_{2}q_{2}\tilde{q}_{1}$, ${ }M_{4}q_{2}\tilde{q}_{1}$, ${ }q_{2}^{2}\tilde{q}_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{5}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{3}M_{5}$, ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{4}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{2}\tilde{q}_{1}^{2}\tilde{q}_{2}$, ${ }M_{2}M_{3}$, ${ }M_{3}M_{4}$, ${ }M_{3}q_{2}\tilde{q}_{1}$, ${ }M_{5}\phi_{1}^{2}$, ${ }\tilde{q}_{1}^{2}\tilde{q}_{2}^{2}$, ${ }M_{2}\phi_{1}^{2}$, ${ }M_{4}\phi_{1}^{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$, ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{3}^{2}$, ${ }M_{5}q_{1}\tilde{q}_{1}$, ${ }M_{5}q_{1}q_{2}$, ${ }M_{2}q_{1}\tilde{q}_{1}$, ${ }M_{4}q_{1}\tilde{q}_{1}$, ${ }q_{1}q_{2}\tilde{q}_{1}^{2}$, ${ }\phi_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{2}q_{1}q_{2}$, ${ }M_{4}q_{1}q_{2}$, ${ }q_{1}q_{2}^{2}\tilde{q}_{1}$, ${ }M_{5}\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{2}\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{4}\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}^{3}$, ${ }q_{1}\tilde{q}_{1}^{2}\tilde{q}_{2}$	${}M_{3}q_{1}\tilde{q}_{1}$	-1	t^2.168 + 3*t^2.25 + t^2.584 + t^2.666 + t^3. + t^3.334 + t^3.416 + t^3.668 + t^4.084 + t^4.166 + t^4.336 + 3*t^4.418 + 7*t^4.5 + t^4.752 + 4*t^4.834 + 3*t^4.916 + 2*t^5.168 + 4*t^5.25 + t^5.332 + t^5.502 + 4*t^5.584 + 3*t^5.666 + t^5.836 + 3*t^5.918 - t^6. + 2*t^6.252 + 3*t^6.334 + t^6.416 + t^6.504 + 3*t^6.586 + 9*t^6.668 + 12*t^6.75 + t^6.832 + t^6.92 + 5*t^7.002 + 8*t^7.084 + 4*t^7.166 + 3*t^7.336 + 6*t^7.418 + 7*t^7.5 + 2*t^7.582 + t^7.67 + 6*t^7.752 + 8*t^7.834 + 4*t^7.916 + t^7.998 + t^8.004 + 3*t^8.086 + 6*t^8.168 - 5*t^8.25 + 2*t^8.42 + 6*t^8.502 + 2*t^8.584 - 2*t^8.666 + t^8.672 + 3*t^8.754 + 10*t^8.836 + 15*t^8.918 - t^4.5/y - t^6.668/y - (2*t^6.75)/y + (3*t^7.418)/y + (3*t^7.5)/y + t^7.752/y + (4*t^7.834)/y + (3*t^7.916)/y + t^8.168/y + (6*t^8.25)/y + t^8.332/y + t^8.502/y + (5*t^8.584)/y + (4*t^8.666)/y + (2*t^8.918)/y - t^4.5*y - t^6.668*y - 2*t^6.75*y + 3*t^7.418*y + 3*t^7.5*y + t^7.752*y + 4*t^7.834*y + 3*t^7.916*y + t^8.168*y + 6*t^8.25*y + t^8.332*y + t^8.502*y + 5*t^8.584*y + 4*t^8.666*y + 2*t^8.918*y	g1^2*t^2.168 + 3*t^2.25 + g1*t^2.584 + t^2.666/g1 + t^3. + g1*t^3.334 + t^3.416/g1 + g1^2*t^3.668 + g1*t^4.084 + t^4.166/g1 + g1^4*t^4.336 + 3*g1^2*t^4.418 + 7*t^4.5 + g1^3*t^4.752 + 4*g1*t^4.834 + (3*t^4.916)/g1 + 2*g1^2*t^5.168 + 4*t^5.25 + t^5.332/g1^2 + g1^3*t^5.502 + 4*g1*t^5.584 + (3*t^5.666)/g1 + g1^4*t^5.836 + 3*g1^2*t^5.918 - t^6. + 2*g1^3*t^6.252 + 3*g1*t^6.334 + t^6.416/g1 + g1^6*t^6.504 + 3*g1^4*t^6.586 + 9*g1^2*t^6.668 + 12*t^6.75 + t^6.832/g1^2 + g1^5*t^6.92 + 5*g1^3*t^7.002 + 8*g1*t^7.084 + (4*t^7.166)/g1 + 3*g1^4*t^7.336 + 6*g1^2*t^7.418 + 7*t^7.5 + (2*t^7.582)/g1^2 + g1^5*t^7.67 + 6*g1^3*t^7.752 + 8*g1*t^7.834 + (4*t^7.916)/g1 + t^7.998/g1^3 + g1^6*t^8.004 + 3*g1^4*t^8.086 + 6*g1^2*t^8.168 - 5*t^8.25 + 2*g1^5*t^8.42 + 6*g1^3*t^8.502 + 2*g1*t^8.584 - (2*t^8.666)/g1 + g1^8*t^8.672 + 3*g1^6*t^8.754 + 10*g1^4*t^8.836 + 15*g1^2*t^8.918 - t^4.5/y - (g1^2*t^6.668)/y - (2*t^6.75)/y + (3*g1^2*t^7.418)/y + (3*t^7.5)/y + (g1^3*t^7.752)/y + (4*g1*t^7.834)/y + (3*t^7.916)/(g1*y) + (g1^2*t^8.168)/y + (6*t^8.25)/y + t^8.332/(g1^2*y) + (g1^3*t^8.502)/y + (5*g1*t^8.584)/y + (4*t^8.666)/(g1*y) + (2*g1^2*t^8.918)/y - t^4.5*y - g1^2*t^6.668*y - 2*t^6.75*y + 3*g1^2*t^7.418*y + 3*t^7.5*y + g1^3*t^7.752*y + 4*g1*t^7.834*y + (3*t^7.916*y)/g1 + g1^2*t^8.168*y + 6*t^8.25*y + (t^8.332*y)/g1^2 + g1^3*t^8.502*y + 5*g1*t^8.584*y + (4*t^8.666*y)/g1 + 2*g1^2*t^8.918*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
55364	${}\phi_{1}q_{1}^{2}$ + ${ }\phi_{1}^{4}$ + ${ }M_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{4}q_{1}\tilde{q}_{2}$ + ${ }M_{5}\phi_{1}q_{2}^{2}$ + ${ }M_{6}q_{1}q_{2}$	0.6893	0.9051	0.7616	[M:[1.0992, 0.75, 0.9008, 0.75, 0.6985, 0.8492], q:[0.75, 0.4008], qb:[0.3492, 0.5], phi:[0.5]]	t^2.095 + 3*t^2.25 + 2*t^2.548 + t^2.702 + t^3. + t^3.298 + t^3.595 + t^4.048 + t^4.191 + t^4.202 + 3*t^4.345 + 7*t^4.5 + 2*t^4.643 + 7*t^4.798 + 3*t^4.952 + 4*t^5.095 + 5*t^5.25 + t^5.393 + t^5.405 + 4*t^5.548 + t^5.691 + 4*t^5.845 - 2*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
46437	SU2adj1nf2	${}\phi_{1}q_{1}^{2}$ + ${ }\phi_{1}^{4}$ + ${ }M_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{4}q_{1}\tilde{q}_{2}$	0.657	0.8445	0.778	[M:[1.125, 0.75, 0.875, 0.75], q:[0.75, 0.375], qb:[0.375, 0.5], phi:[0.5]]	3*t^2.25 + 2*t^2.625 + t^3. + 2*t^3.375 + 2*t^3.75 + 2*t^4.125 + 7*t^4.5 + 6*t^4.875 + 6*t^5.25 + 6*t^5.625 + 5*t^6. - t^4.5/y - t^4.5*y	detail	{a: 2691/4096, c: 3459/4096, M1: 9/8, M2: 3/4, M3: 7/8, M4: 3/4, q1: 3/4, q2: 3/8, qb1: 3/8, qb2: 1/2, phi1: 1/2}