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
57324	SU3adj1nf2	${}\phi_{1}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }\phi_{1}^{3}\tilde{q}_{2}^{3}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$	1.1294	1.2609	0.8957	[X:[1.5322], M:[0.7029], q:[0.8668, 0.3978], qb:[0.8993, 0.4328], phi:[0.2339]]	[X:[[0, 2]], M:[[-1, -4]], q:[[-1, 1], [0, 4]], qb:[[1, 0], [0, 1]], phi:[[0, -1]]]	2

Relevant Operators	Marginal Operators	$n_{marginal}$$-$$|F_{IR}|$	Superconformal Index	Refined index
${}\phi_{1}^{3}$, ${ }M_{1}$, ${ }q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{6}$, ${ }M_{1}\phi_{1}^{3}$, ${ }M_{1}^{2}$, ${ }\phi_{1}^{3}q_{2}\tilde{q}_{2}$, ${ }X_{1}$, ${ }M_{1}q_{2}\tilde{q}_{2}$, ${ }q_{2}^{2}\tilde{q}_{2}^{2}$, ${ }q_{1}\tilde{q}_{1}$, ${ }\phi_{1}^{4}q_{2}\tilde{q}_{2}$, ${ }M_{1}\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}^{3}q_{2}^{3}$, ${ }\phi_{1}q_{2}^{2}\tilde{q}_{2}^{2}$, ${ }\phi_{1}q_{1}q_{2}^{2}$	${}\phi_{1}^{5}q_{2}\tilde{q}_{2}$	-1	t^2.105 + t^2.109 + t^2.492 + t^3.193 + t^3.895 + t^3.899 + t^4.21 + t^4.214 + t^4.217 + 2*t^4.597 + t^4.6 + t^4.983 + 2*t^5.298 + t^5.302 + 2*t^5.685 + t^5.689 - t^6. + t^6.004 + t^6.007 + t^6.315 + t^6.319 + t^6.322 + t^6.326 + 2*t^6.387 + t^6.39 + t^6.702 + 2*t^6.705 + t^6.709 + 3*t^7.088 + 2*t^7.092 - t^7.4 + t^7.403 + t^7.407 + t^7.411 + t^7.475 + 3*t^7.79 + 3*t^7.794 + 2*t^7.797 - t^8.101 - t^8.109 + t^8.112 + t^8.116 + 2*t^8.176 + t^8.18 + t^8.42 + t^8.424 + t^8.428 + t^8.431 + t^8.435 + 2*t^8.495 + t^8.499 - t^8.803 - t^8.807 - t^8.81 + 2*t^8.814 + t^8.818 + 3*t^8.878 + 2*t^8.882 + t^8.105/y^2 - t^8.807/y^2 - t^8.81/y^2 - t^3.702/y - t^4.403/y - t^5.807/y - t^5.81/y - t^6.193/y - t^6.508/y - t^6.512/y - t^6.895/y + t^7.214/y - t^7.912/y - t^7.915/y - t^7.919/y + t^8.295/y - t^8.613/y - t^8.617/y - t^8.621/y - t^3.702*y - t^4.403*y - t^5.807*y - t^5.81*y - t^6.193*y - t^6.508*y - t^6.512*y - t^6.895*y + t^7.214*y - t^7.912*y - t^7.915*y - t^7.919*y + t^8.295*y - t^8.613*y - t^8.617*y - t^8.621*y + t^8.105*y^2 - t^8.807*y^2 - t^8.81*y^2	t^2.105/g2^3 + t^2.109/(g1*g2^4) + g2^5*t^2.492 + g2^4*t^3.193 + g2^3*t^3.895 + (g2^2*t^3.899)/g1 + t^4.21/g2^6 + t^4.214/(g1*g2^7) + t^4.217/(g1^2*g2^8) + 2*g2^2*t^4.597 + (g2*t^4.6)/g1 + g2^10*t^4.983 + 2*g2*t^5.298 + t^5.302/g1 + 2*g2^9*t^5.685 + (g2^8*t^5.689)/g1 - t^6. + t^6.004/(g1*g2) + t^6.007/(g1^2*g2^2) + t^6.315/g2^9 + t^6.319/(g1*g2^10) + t^6.322/(g1^2*g2^11) + t^6.326/(g1^3*g2^12) + 2*g2^8*t^6.387 + (g2^7*t^6.39)/g1 + t^6.702/g2 + (2*t^6.705)/(g1*g2^2) + t^6.709/(g1^2*g2^3) + 3*g2^7*t^7.088 + (2*g2^6*t^7.092)/g1 - (g1*t^7.4)/g2 + t^7.403/g2^2 + t^7.407/(g1*g2^3) + t^7.411/(g1^2*g2^4) + g2^15*t^7.475 + 3*g2^6*t^7.79 + (3*g2^5*t^7.794)/g1 + (2*g2^4*t^7.797)/g1^2 - (g1*t^8.101)/g2^2 - t^8.109/(g1*g2^4) + t^8.112/(g1^2*g2^5) + t^8.116/(g1^3*g2^6) + 2*g2^14*t^8.176 + (g2^13*t^8.18)/g1 + t^8.42/g2^12 + t^8.424/(g1*g2^13) + t^8.428/(g1^2*g2^14) + t^8.431/(g1^3*g2^15) + t^8.435/(g1^4*g2^16) + (2*g2^4*t^8.495)/g1 + (g2^3*t^8.499)/g1^2 - (g1*t^8.803)/g2^3 - t^8.807/g2^4 - t^8.81/(g1*g2^5) + (2*t^8.814)/(g1^2*g2^6) + t^8.818/(g1^3*g2^7) + 3*g2^13*t^8.878 + (2*g2^12*t^8.882)/g1 + t^8.105/(g2^3*y^2) - t^8.807/(g2^4*y^2) - t^8.81/(g1*g2^5*y^2) - t^3.702/(g2*y) - t^4.403/(g2^2*y) - t^5.807/(g2^4*y) - t^5.81/(g1*g2^5*y) - (g2^4*t^6.193)/y - t^6.508/(g2^5*y) - t^6.512/(g1*g2^6*y) - (g2^3*t^6.895)/y + t^7.214/(g1*g2^7*y) - t^7.912/(g2^7*y) - t^7.915/(g1*g2^8*y) - t^7.919/(g1^2*g2^9*y) + (g1*g2^2*t^8.295)/y - t^8.613/(g2^8*y) - t^8.617/(g1*g2^9*y) - t^8.621/(g1^2*g2^10*y) - (t^3.702*y)/g2 - (t^4.403*y)/g2^2 - (t^5.807*y)/g2^4 - (t^5.81*y)/(g1*g2^5) - g2^4*t^6.193*y - (t^6.508*y)/g2^5 - (t^6.512*y)/(g1*g2^6) - g2^3*t^6.895*y + (t^7.214*y)/(g1*g2^7) - (t^7.912*y)/g2^7 - (t^7.915*y)/(g1*g2^8) - (t^7.919*y)/(g1^2*g2^9) + g1*g2^2*t^8.295*y - (t^8.613*y)/g2^8 - (t^8.617*y)/(g1*g2^9) - (t^8.621*y)/(g1^2*g2^10) + (t^8.105*y^2)/g2^3 - (t^8.807*y^2)/g2^4 - (t^8.81*y^2)/(g1*g2^5)

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
58060	${}\phi_{1}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }\phi_{1}^{3}\tilde{q}_{2}^{3}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{1}\phi_{1}^{3}$ + ${ }q_{2}\tilde{q}_{2}X_{2}$	0.9736	1.085	0.8973	[X:[1.4435, 1.3912], M:[1.1653], q:[1.1075, 0.2204], qb:[0.6143, 0.3884], phi:[0.2782]]	t^2.5 + t^2.66 + 2*t^3.5 + t^4.17 + t^4.33 + 2*t^4.49 + t^5.01 + 2*t^5.17 + t^5.32 + t^5.48 - t^3.83/y - t^4.67/y - t^3.83*y - t^4.67*y	detail
58061	${}\phi_{1}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }\phi_{1}^{3}\tilde{q}_{2}^{3}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{1}q_{2}\tilde{q}_{2}$ + ${ }\phi_{1}^{3}X_{2}$	0.964	1.0349	0.9316	[X:[1.5733, 1.36], M:[1.0667], q:[1.3333, 0.48], qb:[0.4533, 0.4533], phi:[0.2133]]	t^2.8 + t^3.2 + t^3.44 + 2*t^4.08 + t^4.72 + 2*t^5.36 + t^5.6 - 2*t^6. - t^3.64/y - t^4.28/y - t^3.64*y - t^4.28*y	detail	{a: 28921/30000, c: 15523/15000, X1: 118/75, X2: 34/25, M1: 16/15, q1: 4/3, q2: 12/25, qb1: 34/75, qb2: 34/75, phi1: 16/75}
58066	${}\phi_{1}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }\phi_{1}^{3}\tilde{q}_{2}^{3}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}^{2}q_{2}\tilde{q}_{2}$	1.1499	1.2998	0.8847	[X:[1.5338], M:[0.7004, 0.6993], q:[0.8682, 0.4009], qb:[0.8987, 0.4336], phi:[0.2331]]	3*t^2.1 + t^2.5 + t^3.2 + t^3.91 + 6*t^4.2 + 4*t^4.6 + t^5.01 + 4*t^5.3 + 3*t^5.71 - t^6. - t^3.7/y - t^4.4/y - (3*t^5.8)/y - t^3.7*y - t^4.4*y - 3*t^5.8*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
47880	SU3adj1nf2	${}\phi_{1}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }\phi_{1}^{3}\tilde{q}_{2}^{3}$	1.1092	1.2232	0.9068	[X:[1.5292], q:[0.8823, 0.3918], qb:[0.8823, 0.4313], phi:[0.2354]]	t^2.118 + t^2.469 + t^3.175 + t^3.822 + t^3.882 + t^3.941 + t^4.237 + 2*t^4.588 + t^4.939 + 2*t^5.294 + 2*t^5.645 + t^5.704 + t^5.941 - t^6. - t^3.706/y - t^4.412/y - t^5.825/y - t^3.706*y - t^4.412*y - t^5.825*y	detail