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
45785	SU3adj1nf1	${}\phi_{1}^{2}X_{1}$ + ${ }\phi_{1}^{3}X_{2}$ + ${ }M_{1}\phi_{1}^{2}q_{1}\tilde{q}_{1}$ + ${ }M_{1}^{2}$ + ${ }q_{1}\tilde{q}_{1}X_{3}$ + ${ }M_{2}X_{2}$	0.7998	0.8936	0.8951	[X:[1.5, 1.25, 1.5], M:[1.0, 0.75], q:[0.25], qb:[0.25], phi:[0.25]]	[X:[[0], [0], [0]], M:[[0], [0]], q:[[-1]], qb:[[1]], phi:[[0]]]	1	{a: 819/1024, c: 915/1024, X1: 3/2, X2: 5/4, X3: 3/2, M1: 1, M2: 3/4, q1: 1/4, qb1: 1/4, phi1: 1/4}

Relevant Operators	Marginal Operators	$n_{marginal}$$-$$|F_{IR}|$	Superconformal Index	Refined index
${}M_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{1}$, ${ }M_{2}^{2}$, ${ }\phi_{1}^{3}q_{1}^{3}$, ${ }M_{2}\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{1}^{2}\tilde{q}_{1}^{2}$, ${ }\phi_{1}^{3}\tilde{q}_{1}^{3}$, ${ }X_{1}$, ${ }X_{3}$, ${ }\phi_{1}^{3}q_{1}^{3}$, ${ }\phi_{1}^{3}\tilde{q}_{1}^{3}$, ${ }M_{1}M_{2}$, ${ }M_{1}\phi_{1}q_{1}\tilde{q}_{1}$	${}$	-1	2*t^2.25 + t^3. + 7*t^4.5 + 2*t^5.25 - t^6. + 10*t^6.75 + 4*t^7.5 - 6*t^8.25 + t^8.25/y^2 - t^3.75/y - t^4.5/y - t^6./y - (2*t^6.75)/y + t^7.5/y - t^3.75*y - t^4.5*y - t^6.*y - 2*t^6.75*y + t^7.5*y + t^8.25*y^2	2*t^2.25 + t^3. + 5*t^4.5 + t^4.5/g1^3 + g1^3*t^4.5 + 2*t^5.25 - t^6. + 6*t^6.75 + (2*t^6.75)/g1^3 + 2*g1^3*t^6.75 + 4*t^7.5 - 2*t^8.25 - (2*t^8.25)/g1^3 - 2*g1^3*t^8.25 + t^8.25/y^2 - t^3.75/y - t^4.5/y - t^6./y - (2*t^6.75)/y + t^7.5/y - t^3.75*y - t^4.5*y - t^6.*y - 2*t^6.75*y + t^7.5*y + t^8.25*y^2

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
45793	${}\phi_{1}^{2}X_{1}$ + ${ }\phi_{1}^{3}X_{2}$ + ${ }M_{1}\phi_{1}^{2}q_{1}\tilde{q}_{1}$ + ${ }M_{1}^{2}$ + ${ }q_{1}\tilde{q}_{1}X_{3}$ + ${ }M_{2}X_{2}$ + ${ }\phi_{1}^{3}\tilde{q}_{1}^{3}$	0.6943	0.7881	0.881	[X:[1.5, 1.25, 1.5], M:[1.0, 0.75], q:[0.0833], qb:[0.4167], phi:[0.25]]	2*t^2.25 + 2*t^3. + 5*t^4.5 + 4*t^5.25 + t^6. - t^3.75/y - t^4.5/y - t^6./y - t^3.75*y - t^4.5*y - t^6.*y	detail	{a: 711/1024, c: 807/1024, X1: 3/2, X2: 5/4, X3: 3/2, M1: 1, M2: 3/4, q1: 1/12, qb1: 5/12, phi1: 1/4}

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
57313	SU3adj1nf2	${}q_{1}^{2}\tilde{q}_{1}^{2}$ + ${ }q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }q_{1}\tilde{q}_{2}$ + ${ }q_{2}\tilde{q}_{1}X_{2}$	0.7998	0.8936	0.8951	[X:[1.5, 1.5], q:[0.75, 0.25], qb:[0.25, 1.25], phi:[0.25]]	2*t^2.25 + t^3. + 7*t^4.5 + 2*t^5.25 - t^6. - t^3.75/y - t^4.5/y - t^6./y - t^3.75*y - t^4.5*y - t^6.*y	detail	{a: 819/1024, c: 915/1024, X1: 3/2, X2: 3/2, q1: 3/4, q2: 1/4, qb1: 1/4, qb2: 5/4, phi1: 1/4}

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
45772	SU3adj1nf1	${}\phi_{1}^{2}X_{1}$ + ${ }\phi_{1}^{3}X_{2}$ + ${ }M_{1}\phi_{1}^{2}q_{1}\tilde{q}_{1}$ + ${ }M_{1}^{2}$ + ${ }q_{1}\tilde{q}_{1}X_{3}$	0.7808	0.8589	0.909	[X:[1.5, 1.25, 1.5], M:[1.0], q:[0.25], qb:[0.25], phi:[0.25]]	t^2.25 + t^3. + t^3.75 + 5*t^4.5 + t^5.25 - t^3.75/y - t^4.5/y - t^3.75*y - t^4.5*y	detail	{a: 1599/2048, c: 1759/2048, X1: 3/2, X2: 5/4, X3: 3/2, M1: 1, q1: 1/4, qb1: 1/4, phi1: 1/4}