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
46563	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{1}M_{3}$ + ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}X_{1}$ + ${ }M_{4}\phi_{1}q_{1}q_{2}$ + ${ }M_{5}\phi_{1}q_{1}^{2}$	0.6313	0.784	0.8052	[X:[1.6], M:[1.2, 0.4, 0.8, 0.8, 0.7567], q:[0.4216, 0.3784], qb:[0.8, 0.8], phi:[0.4]]	[X:[[0, 0]], M:[[0, 0], [0, 0], [0, 0], [0, 0], [2, 0]], q:[[-1, 0], [1, 0]], qb:[[0, -1], [0, 1]], phi:[[0, 0]]]	2

Relevant Operators	Marginal Operators	$n_{marginal}$$-$$|F_{IR}|$	Superconformal Index	Refined index
${}M_{5}$, ${ }M_{3}$, ${ }M_{4}$, ${ }\phi_{1}^{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }q_{2}\tilde{q}_{1}$, ${ }q_{2}\tilde{q}_{2}$, ${ }q_{1}\tilde{q}_{1}$, ${ }q_{1}\tilde{q}_{2}$, ${ }M_{5}^{2}$, ${ }M_{3}M_{5}$, ${ }M_{4}M_{5}$, ${ }M_{5}\phi_{1}^{2}$, ${ }M_{3}^{2}$, ${ }M_{3}M_{4}$, ${ }M_{4}^{2}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{4}\phi_{1}^{2}$, ${ }\phi_{1}^{4}$, ${ }X_{1}$, ${ }M_{5}\phi_{1}q_{2}^{2}$, ${ }M_{5}q_{2}\tilde{q}_{1}$, ${ }M_{5}q_{2}\tilde{q}_{2}$, ${ }M_{3}\phi_{1}q_{2}^{2}$, ${ }M_{4}\phi_{1}q_{2}^{2}$, ${ }\phi_{1}^{3}q_{2}^{2}$, ${ }M_{5}q_{1}\tilde{q}_{1}$, ${ }M_{3}q_{2}\tilde{q}_{1}$, ${ }M_{4}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$, ${ }M_{5}q_{1}\tilde{q}_{2}$, ${ }M_{3}q_{2}\tilde{q}_{2}$, ${ }M_{4}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$	${}\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$	-3	t^2.27 + 3*t^2.4 + t^3.47 + 2*t^3.535 + 2*t^3.665 + t^4.54 + 3*t^4.67 + 7*t^4.8 + t^5.74 + 2*t^5.805 + 2*t^5.87 + 6*t^5.935 - 3*t^6. + 4*t^6.065 - t^6.13 + t^6.811 + 4*t^6.94 + 2*t^7.005 + 8*t^7.07 - 2*t^7.135 + 12*t^7.2 - 4*t^7.265 + t^7.33 + t^8.011 + 2*t^8.075 + 2*t^8.14 + 6*t^8.205 + 10*t^8.335 - 11*t^8.4 + 6*t^8.465 - 4*t^8.53 - t^4.2/y - t^6.47/y - (2*t^6.6)/y + (3*t^7.67)/y + (5*t^7.8)/y + t^7.93/y + (2*t^8.805)/y + t^8.87/y + (8*t^8.935)/y - t^4.2*y - t^6.47*y - 2*t^6.6*y + 3*t^7.67*y + 5*t^7.8*y + t^7.93*y + 2*t^8.805*y + t^8.87*y + 8*t^8.935*y	g1^2*t^2.27 + 3*t^2.4 + g1^2*t^3.47 + (g1*t^3.535)/g2 + g1*g2*t^3.535 + t^3.665/(g1*g2) + (g2*t^3.665)/g1 + g1^4*t^4.54 + 3*g1^2*t^4.67 + 7*t^4.8 + g1^4*t^5.74 + (g1^3*t^5.805)/g2 + g1^3*g2*t^5.805 + 2*g1^2*t^5.87 + (3*g1*t^5.935)/g2 + 3*g1*g2*t^5.935 - 3*t^6. + (2*t^6.065)/(g1*g2) + (2*g2*t^6.065)/g1 - t^6.13/g1^2 + g1^6*t^6.811 + 4*g1^4*t^6.94 + (g1^3*t^7.005)/g2 + g1^3*g2*t^7.005 + 6*g1^2*t^7.07 + (g1^2*t^7.07)/g2^2 + g1^2*g2^2*t^7.07 - (g1*t^7.135)/g2 - g1*g2*t^7.135 + 10*t^7.2 + t^7.2/g2^2 + g2^2*t^7.2 - (2*t^7.265)/(g1*g2) - (2*g2*t^7.265)/g1 - t^7.33/g1^2 + t^7.33/(g1^2*g2^2) + (g2^2*t^7.33)/g1^2 + g1^6*t^8.011 + (g1^5*t^8.075)/g2 + g1^5*g2*t^8.075 + 2*g1^4*t^8.14 + (3*g1^3*t^8.205)/g2 + 3*g1^3*g2*t^8.205 + (5*g1*t^8.335)/g2 + 5*g1*g2*t^8.335 - 11*t^8.4 + (3*t^8.465)/(g1*g2) + (3*g2*t^8.465)/g1 - (4*t^8.53)/g1^2 - t^4.2/y - (g1^2*t^6.47)/y - (2*t^6.6)/y + (3*g1^2*t^7.67)/y + (5*t^7.8)/y + t^7.93/(g1^2*y) + (g1^3*t^8.805)/(g2*y) + (g1^3*g2*t^8.805)/y + (g1^2*t^8.87)/y + (4*g1*t^8.935)/(g2*y) + (4*g1*g2*t^8.935)/y - t^4.2*y - g1^2*t^6.47*y - 2*t^6.6*y + 3*g1^2*t^7.67*y + 5*t^7.8*y + (t^7.93*y)/g1^2 + (g1^3*t^8.805*y)/g2 + g1^3*g2*t^8.805*y + g1^2*t^8.87*y + (4*g1*t^8.935*y)/g2 + 4*g1*g2*t^8.935*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
47285	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{1}M_{3}$ + ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}X_{1}$ + ${ }M_{4}\phi_{1}q_{1}q_{2}$ + ${ }M_{5}\phi_{1}q_{1}^{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$	0.6304	0.7813	0.8069	[X:[1.6], M:[1.2, 0.4, 0.8, 0.8, 0.7864], q:[0.4068, 0.3932], qb:[0.8205, 0.7795], phi:[0.4]]	t^2.359 + 3*t^2.4 + t^3.518 + 2*t^3.559 + t^3.641 + t^3.682 + t^4.718 + 3*t^4.759 + 7*t^4.8 + t^5.877 + 4*t^5.918 + 4*t^5.959 - 2*t^6. - t^4.2/y - t^4.2*y	detail
47063	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{1}M_{3}$ + ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}X_{1}$ + ${ }M_{4}\phi_{1}q_{1}q_{2}$ + ${ }M_{5}\phi_{1}q_{1}^{2}$ + ${ }M_{6}q_{1}\tilde{q}_{1}$	0.6499	0.8195	0.7931	[X:[1.6], M:[1.2, 0.4, 0.8, 0.8, 0.7434, 0.7434], q:[0.4283, 0.3717], qb:[0.8283, 0.7717], phi:[0.4]]	2*t^2.23 + 3*t^2.4 + 2*t^3.43 + 2*t^3.6 + 3*t^4.46 + 6*t^4.63 + 7*t^4.8 + 4*t^5.66 + 8*t^5.83 + t^6. - t^4.2/y - t^4.2*y	detail
48116	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{1}M_{3}$ + ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}X_{1}$ + ${ }M_{4}\phi_{1}q_{1}q_{2}$ + ${ }M_{5}\phi_{1}q_{1}^{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$	0.648	0.8137	0.7964	[X:[1.6], M:[1.2, 0.4, 0.8, 0.8, 0.7748, 0.7748], q:[0.4126, 0.3874], qb:[0.8378, 0.7622], phi:[0.4]]	2*t^2.324 + 3*t^2.4 + t^3.449 + 2*t^3.524 + t^3.751 + 3*t^4.649 + 6*t^4.724 + 7*t^4.8 + 2*t^5.773 + 6*t^5.849 + 4*t^5.924 - 3*t^6. - t^4.2/y - t^4.2*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
46143	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{1}M_{3}$ + ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}X_{1}$ + ${ }M_{4}\phi_{1}q_{1}q_{2}$	0.6135	0.751	0.8169	[X:[1.6], M:[1.2, 0.4, 0.8, 0.8], q:[0.4, 0.4], qb:[0.8, 0.8], phi:[0.4]]	3*t^2.4 + 6*t^3.6 + 7*t^4.8 + 9*t^6. - t^4.2/y - t^4.2*y	detail	{a: 1227/2000, c: 751/1000, X1: 8/5, M1: 6/5, M2: 2/5, M3: 4/5, M4: 4/5, q1: 2/5, q2: 2/5, qb1: 4/5, qb2: 4/5, phi1: 2/5}