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
59069	SU3adj1nf2	${}\phi_{1}^{4}$ + ${ }q_{1}\tilde{q}_{1}X_{1}$ + ${ }q_{2}\tilde{q}_{1}X_{2}$ + ${ }q_{1}\tilde{q}_{2}X_{3}$ + ${ }q_{2}\tilde{q}_{2}X_{4}$ + ${ }M_{1}\phi_{1}q_{1}^{2}q_{2}$ + ${ }M_{2}\phi_{1}q_{1}q_{2}^{2}$ + ${ }M_{1}M_{2}$	0.9141	1.1016	0.8298	[X:[1.5, 1.5, 1.5, 1.5], M:[1.0, 1.0], q:[0.1667, 0.1667], qb:[0.3333, 0.3333], phi:[0.5]]	[X:[[0, -2], [-2, 0], [2, 0], [0, 2]], M:[[1, -1], [-1, 1]], q:[[-1, 1], [1, -1]], qb:[[1, 1], [-1, -1]], phi:[[0, 0]]]	2	{a: 117/128, c: 141/128, X1: 3/2, X2: 3/2, X3: 3/2, X4: 3/2, M1: 1, M2: 1, q1: 1/6, q2: 1/6, qb1: 1/3, qb2: 1/3, phi1: 1/2}

Relevant Operators	Marginal Operators	$n_{marginal}$$-$$|F_{IR}|$	Superconformal Index	Refined index
${}M_{1}$, ${ }M_{2}$, ${ }\phi_{1}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{1}$, ${ }M_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}^{3}$, ${ }\phi_{1}^{2}q_{1}^{2}q_{2}$, ${ }\phi_{1}^{2}q_{1}q_{2}^{2}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}^{2}$, ${ }X_{1}$, ${ }X_{2}$, ${ }X_{3}$, ${ }X_{4}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{2}$, ${ }X_{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$, ${ }X_{3}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$, ${ }X_{1}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}^{2}q_{1}q_{2}^{2}$, ${ }\phi_{1}^{2}q_{1}^{2}q_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{1}$, ${ }X_{4}$	${}M_{1}^{2}$, ${ }M_{2}^{2}$, ${ }M_{1}\phi_{1}^{2}$, ${ }M_{2}\phi_{1}^{2}$, ${ }\phi_{1}^{3}q_{1}^{3}$, ${ }\phi_{1}^{3}q_{2}^{3}$, ${ }M_{1}\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{2}\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{1}\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{2}\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{1}^{2}\tilde{q}_{1}^{2}$, ${ }\phi_{1}^{2}q_{1}q_{2}\tilde{q}_{1}^{2}$, ${ }\phi_{1}^{2}q_{2}^{2}\tilde{q}_{1}^{2}$, ${ }M_{1}\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{2}\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{1}\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{2}\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{1}q_{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{2}\tilde{q}_{1}^{2}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{1}^{2}\tilde{q}_{2}^{2}$, ${ }\phi_{1}^{2}q_{1}q_{2}\tilde{q}_{2}^{2}$, ${ }\phi_{1}^{2}q_{2}^{2}\tilde{q}_{2}^{2}$, ${ }\phi_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}^{2}$	15	7*t^3. + 13*t^4.5 + 15*t^6. + 51*t^7.5 - t^4.5/y - t^6./y + t^7.5/y - t^4.5*y - t^6.*y + t^7.5*y	t^3. + t^3./g1^2 + g1^2*t^3. + t^3./g2^2 + (g1*t^3.)/g2 + (g2*t^3.)/g1 + g2^2*t^3. + t^4.5 + (2*t^4.5)/g1^2 + 2*g1^2*t^4.5 + (2*t^4.5)/g2^2 + t^4.5/(g1*g2) + (g1*t^4.5)/g2 + (g2*t^4.5)/g1 + g1*g2*t^4.5 + 2*g2^2*t^4.5 - t^6. + t^6./g1^4 + g1^4*t^6. + t^6./g2^4 + (g1*t^6.)/g2^3 + (g1^3*t^6.)/g2^3 + (g1^2*t^6.)/g2^2 + t^6./(g1*g2) + (g1*t^6.)/g2 + (g1^3*t^6.)/g2 + (g2*t^6.)/g1^3 + (g2*t^6.)/g1 + g1*g2*t^6. + (g2^2*t^6.)/g1^2 + (g2^3*t^6.)/g1^3 + (g2^3*t^6.)/g1 + g2^4*t^6. + 7*t^7.5 + (2*t^7.5)/g1^4 + (2*t^7.5)/g1^2 + 2*g1^2*t^7.5 + 2*g1^4*t^7.5 + (2*t^7.5)/g2^4 + t^7.5/(g1^3*g2^3) + t^7.5/(g1*g2^3) + (g1*t^7.5)/g2^3 - (g1^3*t^7.5)/g2^3 + (2*t^7.5)/g2^2 + (3*t^7.5)/(g1^2*g2^2) + (4*g1^2*t^7.5)/g2^2 + t^7.5/(g1^3*g2) + (3*t^7.5)/(g1*g2) + (g1^3*t^7.5)/g2 + (g2*t^7.5)/g1^3 + 3*g1*g2*t^7.5 + g1^3*g2*t^7.5 + 2*g2^2*t^7.5 + (4*g2^2*t^7.5)/g1^2 + 3*g1^2*g2^2*t^7.5 - (g2^3*t^7.5)/g1^3 + (g2^3*t^7.5)/g1 + g1*g2^3*t^7.5 + g1^3*g2^3*t^7.5 + 2*g2^4*t^7.5 - t^4.5/y - t^6./y + t^7.5/y - t^4.5*y - t^6.*y + t^7.5*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
61045	${}\phi_{1}^{4}$ + ${ }q_{1}\tilde{q}_{1}X_{1}$ + ${ }q_{2}\tilde{q}_{1}X_{2}$ + ${ }q_{1}\tilde{q}_{2}X_{3}$ + ${ }q_{2}\tilde{q}_{2}X_{4}$ + ${ }M_{1}\phi_{1}q_{1}^{2}q_{2}$ + ${ }M_{2}\phi_{1}q_{1}q_{2}^{2}$ + ${ }M_{1}M_{2}$ + ${ }M_{3}\phi_{1}q_{2}\tilde{q}_{2}$	0.9162	1.1065	0.828	[X:[1.5454, 1.5091, 1.4909, 1.4546], M:[1.0182, 0.9818, 0.9546], q:[0.1485, 0.1848], qb:[0.3061, 0.3606], phi:[0.5]]	2*t^2.86 + t^2.95 + t^2.97 + t^3. + t^3.03 + t^3.05 + 2*t^4.36 + t^4.42 + t^4.45 + 2*t^4.47 + t^4.5 + 2*t^4.53 + t^4.55 + t^4.58 + 2*t^4.64 + 3*t^5.73 + 2*t^5.81 + 2*t^5.84 + t^5.86 + 2*t^5.89 + 2*t^5.92 + 2*t^5.95 + t^5.97 - 2*t^6. - t^4.5/y - t^6./y - t^4.5*y - t^6.*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
57747	SU3adj1nf2	${}\phi_{1}^{4}$ + ${ }q_{1}\tilde{q}_{1}X_{1}$ + ${ }q_{2}\tilde{q}_{1}X_{2}$ + ${ }q_{1}\tilde{q}_{2}X_{3}$ + ${ }q_{2}\tilde{q}_{2}X_{4}$ + ${ }M_{1}\phi_{1}q_{1}^{2}q_{2}$ + ${ }M_{2}\phi_{1}q_{1}q_{2}^{2}$	1.0062	1.2289	0.8188	[X:[1.5, 1.5, 1.5, 1.5], M:[0.7183, 0.7183], q:[0.2606, 0.2606], qb:[0.2394, 0.2394], phi:[0.5]]	2*t^2.15 + 5*t^3. + 2*t^3.65 + 3*t^4.31 + 9*t^4.5 + 12*t^5.15 + 2*t^5.35 + 4*t^5.81 + 2*t^6. - t^4.5/y - t^6./y - t^4.5*y - t^6.*y	detail