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
57339	SU3adj1nf2	${}M_{1}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }\phi_{1}^{6}$ + ${ }M_{2}\phi_{1}q_{2}\tilde{q}_{2}$	1.4754	1.6837	0.8763	[X:[1.3333], M:[0.9697, 0.697], q:[0.5152, 0.4848], qb:[0.5152, 0.4848], phi:[0.3333]]	[X:[[0, 0, 0]], M:[[1, 0, 1], [-1, 0, -1]], q:[[-1, -1, -1], [1, 0, 0]], qb:[[0, 1, 0], [0, 0, 1]], phi:[[0, 0, 0]]]	3	{a: 779/528, c: 889/528, X1: 4/3, M1: 32/33, M2: 23/33, q1: 17/33, q2: 16/33, qb1: 17/33, qb2: 16/33, phi1: 1/3}

Relevant Operators	Marginal Operators	$n_{marginal}$$-$$|F_{IR}|$	Superconformal Index	Refined index
${}M_{2}$, ${ }M_{1}$, ${ }q_{2}\tilde{q}_{2}$, ${ }\phi_{1}^{3}$, ${ }q_{2}\tilde{q}_{1}$, ${ }q_{1}\tilde{q}_{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }X_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{2}^{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$, ${ }M_{1}M_{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{2}$, ${ }M_{2}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$, ${ }M_{2}\phi_{1}^{3}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{1}$, ${ }M_{2}q_{1}\tilde{q}_{2}$, ${ }M_{2}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}q_{2}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}q_{1}^{2}q_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}\tilde{q}_{2}$, ${ }M_{1}^{2}$, ${ }M_{1}q_{2}\tilde{q}_{2}$, ${ }q_{2}^{2}\tilde{q}_{2}^{2}$, ${ }M_{1}\phi_{1}^{3}$, ${ }\phi_{1}^{3}q_{2}\tilde{q}_{2}$, ${ }q_{1}q_{2}\tilde{q}_{2}^{2}$, ${ }q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$	${}\phi_{1}^{3}q_{2}\tilde{q}_{1}$, ${ }q_{2}^{2}\tilde{q}_{1}^{2}$, ${ }\phi_{1}^{3}q_{1}\tilde{q}_{2}$, ${ }q_{1}q_{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{1}^{2}\tilde{q}_{2}^{2}$	2	t^2.091 + 2*t^2.909 + 3*t^3. + 3*t^4. + t^4.091 + t^4.182 + t^4.909 + 4*t^5. + 4*t^5.091 + 2*t^5.455 + 2*t^5.545 + 3*t^5.818 + 4*t^5.909 + 2*t^6. + t^6.091 + t^6.182 + t^6.273 + 2*t^6.455 + 2*t^6.545 + 4*t^6.909 + 9*t^7. + 5*t^7.091 + 4*t^7.182 + 2*t^7.364 + 2*t^7.545 + 4*t^7.636 + 2*t^7.818 + 7*t^7.909 + 13*t^8. + 5*t^8.091 + 2*t^8.182 + t^8.273 + 3*t^8.364 + 4*t^8.455 + 2*t^8.545 + 4*t^8.727 + 5*t^8.818 + t^8.909 - t^4./y - t^5./y - t^6.091/y - (2*t^6.909)/y - (3*t^7.)/y - t^7.091/y - t^7.909/y - t^8./y + (3*t^8.091)/y - t^8.182/y + t^8.818/y + (6*t^8.909)/y - t^4.*y - t^5.*y - t^6.091*y - 2*t^6.909*y - 3*t^7.*y - t^7.091*y - t^7.909*y - t^8.*y + 3*t^8.091*y - t^8.182*y + t^8.818*y + 6*t^8.909*y	t^2.091/(g1*g3) + 2*g1*g3*t^2.909 + t^3. + t^3./(g1*g2) + g1*g2*t^3. + t^4. + t^4./(g1*g2) + g1*g2*t^4. + t^4.091/(g1*g3) + t^4.182/(g1^2*g3^2) + g1*g3*t^4.909 + 2*t^5. + t^5./(g1*g2) + g1*g2*t^5. + (2*t^5.091)/(g1*g3) + t^5.091/(g1^2*g2*g3) + (g2*t^5.091)/g3 + (g1*t^5.455)/(g2*g3) + g2*g3^2*t^5.455 + t^5.545/(g1*g2^2*g3^2) + g2^2*g3*t^5.545 + 3*g1^2*g3^2*t^5.818 + 2*g1*g3*t^5.909 + (g3*t^5.909)/g2 + g1^2*g2*g3*t^5.909 - 2*t^6. + t^6./(g1^2*g2^2) + t^6./(g1*g2) + g1*g2*t^6. + g1^2*g2^2*t^6. + t^6.091/(g1*g3) + t^6.182/(g1^2*g3^2) + t^6.273/(g1^3*g3^3) + (g1*t^6.455)/(g2*g3) + g2*g3^2*t^6.455 + t^6.545/(g1*g2^2*g3^2) + g2^2*g3*t^6.545 + 2*g1*g3*t^6.909 + (g3*t^6.909)/g2 + g1^2*g2*g3*t^6.909 + 3*t^7. + t^7./(g1^2*g2^2) + (2*t^7.)/(g1*g2) + 2*g1*g2*t^7. + g1^2*g2^2*t^7. + (3*t^7.091)/(g1*g3) + t^7.091/(g1^2*g2*g3) + (g2*t^7.091)/g3 + (2*t^7.182)/(g1^2*g3^2) + t^7.182/(g1^3*g2*g3^2) + (g2*t^7.182)/(g1*g3^2) + g1^3*t^7.364 + g3^3*t^7.364 - t^7.455/(g2^2*g3) + (g1*t^7.455)/(g2*g3) + g2*g3^2*t^7.455 - g1*g2^2*g3^2*t^7.455 + t^7.545/(g1*g2^2*g3^2) + g2^2*g3*t^7.545 + (g2^2*t^7.636)/g1 + g2^3*t^7.636 + t^7.636/(g1^3*g2^3*g3^3) + t^7.636/(g1^2*g2^2*g3^3) + 2*g1^2*g3^2*t^7.818 + 3*g1*g3*t^7.909 + (2*g3*t^7.909)/g2 + 2*g1^2*g2*g3*t^7.909 + 5*t^8. + (2*t^8.)/(g1^2*g2^2) + (2*t^8.)/(g1*g2) + 2*g1*g2*t^8. + 2*g1^2*g2^2*t^8. - t^8.091/(g1*g3) + t^8.091/(g1^3*g2^2*g3) + (2*t^8.091)/(g1^2*g2*g3) + (2*g2*t^8.091)/g3 + (g1*g2^2*t^8.091)/g3 + (2*t^8.182)/(g1^2*g3^2) + t^8.273/(g1^3*g3^3) + (g1^2*t^8.364)/g2 + t^8.364/(g1^4*g3^4) + g1*g2*g3^3*t^8.364 + t^8.455/(g2^2*g3) + (g1*t^8.455)/(g2*g3) + g2*g3^2*t^8.455 + g1*g2^2*g3^2*t^8.455 + t^8.545/(g1*g2^2*g3^2) + g2^2*g3*t^8.545 + 4*g1^3*g3^3*t^8.727 + 3*g1^2*g3^2*t^8.818 + (g1*g3^2*t^8.818)/g2 + g1^3*g2*g3^2*t^8.818 - 5*g1*g3*t^8.909 + (g3*t^8.909)/(g1*g2^2) + (2*g3*t^8.909)/g2 + 2*g1^2*g2*g3*t^8.909 + g1^3*g2^2*g3*t^8.909 - t^4./y - t^5./y - t^6.091/(g1*g3*y) - (2*g1*g3*t^6.909)/y - t^7./y - t^7./(g1*g2*y) - (g1*g2*t^7.)/y - t^7.091/(g1*g3*y) - (g1*g3*t^7.909)/y + t^8./y - t^8./(g1*g2*y) - (g1*g2*t^8.)/y + t^8.091/(g1*g3*y) + t^8.091/(g1^2*g2*g3*y) + (g2*t^8.091)/(g3*y) - t^8.182/(g1^2*g3^2*y) + (g1^2*g3^2*t^8.818)/y + (2*g1*g3*t^8.909)/y + (2*g3*t^8.909)/(g2*y) + (2*g1^2*g2*g3*t^8.909)/y - t^4.*y - t^5.*y - (t^6.091*y)/(g1*g3) - 2*g1*g3*t^6.909*y - t^7.*y - (t^7.*y)/(g1*g2) - g1*g2*t^7.*y - (t^7.091*y)/(g1*g3) - g1*g3*t^7.909*y + t^8.*y - (t^8.*y)/(g1*g2) - g1*g2*t^8.*y + (t^8.091*y)/(g1*g3) + (t^8.091*y)/(g1^2*g2*g3) + (g2*t^8.091*y)/g3 - (t^8.182*y)/(g1^2*g3^2) + g1^2*g3^2*t^8.818*y + 2*g1*g3*t^8.909*y + (2*g3*t^8.909*y)/g2 + 2*g1^2*g2*g3*t^8.909*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
58127	${}M_{1}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }\phi_{1}^{6}$ + ${ }M_{2}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{2}$	1.4124	1.6208	0.8715	[X:[1.3333], M:[0.8333, 0.8333], q:[0.6806, 0.3472], qb:[0.4861, 0.4861], phi:[0.3333]]	4*t^2.5 + t^3. + 2*t^3.5 + t^4. + 4*t^4.5 + 9*t^5. + t^5.13 + 2*t^5.37 + 6*t^5.5 + 2*t^6. - t^4./y - t^5./y - t^4.*y - t^5.*y	detail	{a: 4339/3072, c: 4979/3072, X1: 4/3, M1: 5/6, M2: 5/6, q1: 49/72, q2: 25/72, qb1: 35/72, qb2: 35/72, phi1: 1/3}
58128	${}M_{1}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }\phi_{1}^{6}$ + ${ }M_{2}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}q_{2}$	1.465	1.6733	0.8755	[X:[1.3333], M:[0.9455, 0.7211], q:[0.5842, 0.4983], qb:[0.4703, 0.4472], phi:[0.3333]]	t^2.16 + 2*t^2.84 + t^2.91 + t^3. + t^3.09 + t^3.91 + t^4. + t^4.09 + t^4.16 + t^4.33 + t^4.84 + t^4.91 + 2*t^5. + t^5.07 + 2*t^5.09 + 3*t^5.16 + t^5.26 + 3*t^5.67 + 2*t^5.74 + t^5.81 + 2*t^5.84 + t^5.91 + t^5.93 - t^6. - t^4./y - t^5./y - t^4.*y - t^5.*y	detail
58122	${}M_{1}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }\phi_{1}^{6}$ + ${ }M_{2}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$ + ${ }q_{1}\tilde{q}_{2}X_{2}$	1.3141	1.5016	0.8751	[X:[1.3333, 1.3333], M:[0.9667, 0.7], q:[0.3444, 0.6444], qb:[0.6889, 0.3222], phi:[0.3333]]	t^2.1 + 2*t^2.9 + 2*t^3. + 4*t^4. + t^4.1 + t^4.2 + 5*t^5. + 2*t^5.1 + 3*t^5.8 + 5*t^5.9 + 2*t^6. - t^4./y - t^5./y - t^4.*y - t^5.*y	detail	{a: 841/640, c: 961/640, X1: 4/3, X2: 4/3, M1: 29/30, M2: 7/10, q1: 31/90, q2: 29/45, qb1: 31/45, qb2: 29/90, phi1: 1/3}

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
47889	SU3adj1nf2	${}M_{1}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }\phi_{1}^{6}$	1.4548	1.6446	0.8846	[X:[1.3333], M:[0.9634], q:[0.5183, 0.4817], qb:[0.5183, 0.4817], phi:[0.3333]]	2*t^2.89 + 3*t^3. + t^3.89 + 3*t^4. + t^4.11 + t^4.89 + 2*t^5. + t^5.11 + 2*t^5.445 + 2*t^5.555 + 3*t^5.78 + 4*t^5.89 + 2*t^6. - t^4./y - t^5./y - t^4.*y - t^5.*y	detail