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
57675	SU3adj1nf2	${}\phi_{1}q_{1}^{2}q_{2}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }\phi_{1}^{3}q_{2}\tilde{q}_{1}$ + ${ }q_{2}\tilde{q}_{2}$ + ${ }\phi_{1}^{3}X_{2}$	0.91	0.9623	0.9457	[X:[1.6218, 1.4327], M:[], q:[0.4145, 0.9818], qb:[0.4509, 1.0182], phi:[0.1891]]	[X:[[6], [9]], M:[], q:[[4], [-5]], qb:[[14], [5]], phi:[[-3]]]	1

Relevant Operators	Marginal Operators	$n_{marginal}$$-$$|F_{IR}|$	Superconformal Index	Refined index
${}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{1}$, ${ }q_{1}\tilde{q}_{2}$, ${ }X_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }X_{1}$, ${ }q_{1}^{2}\tilde{q}_{1}^{2}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}^{2}\tilde{q}_{1}^{2}$, ${ }\phi_{1}^{3}\tilde{q}_{1}^{3}$	${}$	-2	t^2.6 + t^3.16 + t^3.73 + t^4.3 + t^4.87 + t^5.19 + t^5.43 + 2*t^5.76 - 2*t^6. + 2*t^6.33 - t^6.57 + 2*t^6.89 + 3*t^7.46 + t^7.79 + t^8.03 + 2*t^8.36 - t^8.6 + 3*t^8.92 + t^7.7/y^2 - t^3.57/y - t^4.13/y - t^6.16/y - t^6.73/y - t^7.3/y - t^7.87/y - t^8.43/y - t^3.57*y - t^4.13*y - t^6.16*y - t^6.73*y - t^7.3*y - t^7.87*y - t^8.43*y + t^7.7*y^2	g1^18*t^2.6 + g1^15*t^3.16 + g1^12*t^3.73 + g1^9*t^4.3 + g1^6*t^4.87 + g1^36*t^5.19 + g1^3*t^5.43 + 2*g1^33*t^5.76 - 2*t^6. + 2*g1^30*t^6.33 - t^6.57/g1^3 + 2*g1^27*t^6.89 + 3*g1^24*t^7.46 + g1^54*t^7.79 + g1^21*t^8.03 + 2*g1^51*t^8.36 - g1^18*t^8.6 + 3*g1^48*t^8.92 + t^7.7/(g1^9*y^2) - t^3.57/(g1^3*y) - t^4.13/(g1^6*y) - (g1^15*t^6.16)/y - (g1^12*t^6.73)/y - (g1^9*t^7.3)/y - (g1^6*t^7.87)/y - (g1^3*t^8.43)/y - (t^3.57*y)/g1^3 - (t^4.13*y)/g1^6 - g1^15*t^6.16*y - g1^12*t^6.73*y - g1^9*t^7.3*y - g1^6*t^7.87*y - g1^3*t^8.43*y + (t^7.7*y^2)/g1^9

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
60076	${}\phi_{1}q_{1}^{2}q_{2}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }\phi_{1}^{3}q_{2}\tilde{q}_{1}$ + ${ }q_{2}\tilde{q}_{2}$ + ${ }\phi_{1}^{3}X_{2}$ + ${ }M_{1}\phi_{1}q_{1}\tilde{q}_{1}$	0.9167	0.9681	0.9469	[X:[1.6354, 1.4531], M:[0.9114], q:[0.4236, 0.9705], qb:[0.4826, 1.0295], phi:[0.1823]]	t^2.72 + t^2.73 + t^3.81 + t^4.36 + t^4.91 + t^5.44 + 2*t^5.45 + t^5.47 + t^5.98 - 2*t^6. - t^3.55/y - t^4.09/y - t^3.55*y - t^4.09*y	detail
58590	${}\phi_{1}q_{1}^{2}q_{2}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }\phi_{1}^{3}q_{2}\tilde{q}_{1}$ + ${ }q_{2}\tilde{q}_{2}$ + ${ }\phi_{1}^{3}X_{2}$ + ${ }M_{1}\phi_{1}^{2}q_{1}\tilde{q}_{1}$	0.929	0.9949	0.9338	[X:[1.6267, 1.44], M:[0.7467], q:[0.4178, 0.9778], qb:[0.4622, 1.0222], phi:[0.1867]]	t^2.24 + t^2.64 + t^3.2 + t^4.32 + t^4.48 + 2*t^4.88 + t^5.28 + 2*t^5.44 + 2*t^5.84 - 2*t^6. - t^3.56/y - t^4.12/y - t^5.8/y - t^3.56*y - t^4.12*y - t^5.8*y	detail	{a: 27871/30000, c: 14923/15000, X1: 122/75, X2: 36/25, M1: 56/75, q1: 94/225, q2: 44/45, qb1: 104/225, qb2: 46/45, phi1: 14/75}
58622	${}\phi_{1}q_{1}^{2}q_{2}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }\phi_{1}^{3}q_{2}\tilde{q}_{1}$ + ${ }q_{2}\tilde{q}_{2}$ + ${ }\phi_{1}^{3}X_{2}$ + ${ }\phi_{1}^{3}\tilde{q}_{1}^{3}$	0.9083	0.9538	0.9523	[X:[1.6364, 1.4545], M:[], q:[0.4242, 0.9697], qb:[0.4848, 1.0303], phi:[0.1818]]	t^2.73 + t^3.27 + t^3.82 + t^4.36 + t^4.91 + 2*t^5.45 - t^3.55/y - t^4.09/y - t^3.55*y - t^4.09*y	detail	{a: 1209/1331, c: 2539/2662, X1: 18/11, X2: 16/11, q1: 14/33, q2: 32/33, qb1: 16/33, qb2: 34/33, phi1: 2/11}

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
47940	SU3adj1nf2	${}\phi_{1}q_{1}^{2}q_{2}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }\phi_{1}^{3}q_{2}\tilde{q}_{1}$	1.4418	1.621	0.8894	[X:[1.3555], q:[0.5678, 0.5422], qb:[0.491, 0.4654], phi:[0.3223]]	t^2.9 + t^3.023 + 2*t^3.1 + t^3.176 + t^3.99 + 3*t^4.066 + t^4.143 + t^4.956 + 2*t^5.033 + t^5.11 + t^5.232 + t^5.309 + t^5.801 - t^6. - t^3.967/y - t^4.934/y - t^3.967*y - t^4.934*y	detail