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
58393	SU3adj1nf2	${}\phi_{1}^{5}$ + ${ }M_{1}\phi_{1}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}q_{1}^{2}q_{2}$ + ${ }M_{2}\phi_{1}^{2}$	1.3287	1.5843	0.8387	[X:[], M:[0.7103, 1.2], q:[0.591, 0.4181], qb:[0.2987, 0.2923], phi:[0.4]]	[X:[], M:[[-2, -1], [0, 0]], q:[[1, 1], [-2, -2]], qb:[[1, 0], [0, 1]], phi:[[0, 0]]]	2

Relevant Operators	Marginal Operators	$n_{marginal}$$-$$|F_{IR}|$	Superconformal Index	Refined index
${}M_{1}$, ${ }q_{2}\tilde{q}_{2}$, ${ }q_{2}\tilde{q}_{1}$, ${ }q_{1}\tilde{q}_{2}$, ${ }q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{2}$, ${ }\phi_{1}^{3}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}\tilde{q}_{2}$, ${ }M_{1}^{2}$, ${ }M_{1}q_{2}\tilde{q}_{2}$, ${ }q_{2}^{2}\tilde{q}_{2}^{2}$, ${ }M_{1}q_{2}\tilde{q}_{1}$, ${ }q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{2}^{2}\tilde{q}_{1}^{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$, ${ }M_{1}q_{1}\tilde{q}_{2}$, ${ }q_{1}q_{2}\tilde{q}_{2}^{2}$, ${ }M_{1}q_{1}\tilde{q}_{1}$, ${ }q_{1}q_{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{1}q_{2}\tilde{q}_{1}^{2}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}^{2}\tilde{q}_{1}^{2}\tilde{q}_{2}$, ${ }q_{1}^{2}\tilde{q}_{2}^{2}$, ${ }q_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{1}^{2}\tilde{q}_{1}^{2}$, ${ }M_{1}\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}^{2}\tilde{q}_{2}^{2}$, ${ }\phi_{1}q_{1}q_{2}^{2}$, ${ }\phi_{1}q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}^{2}\tilde{q}_{1}^{2}$, ${ }M_{1}M_{2}$, ${ }M_{1}\phi_{1}^{3}$, ${ }M_{2}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}^{3}q_{2}\tilde{q}_{2}$, ${ }M_{2}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{3}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}q_{2}\tilde{q}_{2}^{2}$, ${ }M_{1}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}\tilde{q}_{2}^{3}$	${3}\phi_{1}q_{1}q_{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ 2}\phi_{1}q_{2}\tilde{q}_{1}^{2}\tilde{q}_{2}^{2}$	2	2*t^2.13 + t^2.15 + t^2.65 + t^2.67 + t^3.33 + t^3.35 + 2*t^3.6 + 2*t^3.85 + t^3.87 + 3*t^4.26 + 2*t^4.28 + t^4.3 + t^4.53 + t^4.55 + 2*t^4.78 + 3*t^4.8 + t^4.82 + 2*t^5.05 + 2*t^5.07 + t^5.3 + t^5.32 + t^5.34 + 2*t^5.46 + 3*t^5.48 + t^5.5 + 4*t^5.73 + 2*t^5.75 + 4*t^5.98 + 2*t^6. + t^6.02 + t^6.23 + 3*t^6.25 + 3*t^6.27 + t^6.29 + 4*t^6.39 + 3*t^6.41 + 2*t^6.43 + t^6.45 + 2*t^6.5 + t^6.52 + t^6.54 + 3*t^6.66 + 4*t^6.68 + 2*t^6.7 + 3*t^6.91 + 6*t^6.93 + 4*t^6.95 + t^6.97 + 5*t^7.18 + 8*t^7.2 + 2*t^7.22 + t^7.36 + 2*t^7.43 + 5*t^7.45 + 3*t^7.47 + t^7.49 + 3*t^7.59 + 5*t^7.61 + 3*t^7.63 + t^7.65 + 4*t^7.7 + 2*t^7.72 + 2*t^7.74 + 7*t^7.86 + 6*t^7.88 + 3*t^7.9 + t^7.95 + t^7.97 + t^7.99 + t^8.01 + 6*t^8.11 + 3*t^8.13 + 2*t^8.15 + t^8.17 + 2*t^8.36 + 8*t^8.38 + 10*t^8.4 + 5*t^8.42 + t^8.44 + 5*t^8.52 + 4*t^8.54 + 3*t^8.56 + 2*t^8.58 + t^8.6 + 3*t^8.63 + 2*t^8.65 + t^8.67 + 5*t^8.79 + 7*t^8.81 + 5*t^8.83 + 2*t^8.85 + t^8.88 + 6*t^8.9 + 6*t^8.92 + 4*t^8.94 + t^8.96 - t^4.2/y - t^5.4/y - (2*t^6.33)/y - t^6.35/y - t^6.85/y - t^6.87/y + t^7.26/y + (2*t^7.28)/y - (2*t^7.53)/y - t^7.55/y + (2*t^7.78)/y + (2*t^7.8)/y + t^7.82/y - t^8.05/y + t^8.32/y - t^8.46/y + t^8.48/y + (3*t^8.73)/y + t^8.75/y + (3*t^8.98)/y - t^4.2*y - t^5.4*y - 2*t^6.33*y - t^6.35*y - t^6.85*y - t^6.87*y + t^7.26*y + 2*t^7.28*y - 2*t^7.53*y - t^7.55*y + 2*t^7.78*y + 2*t^7.8*y + t^7.82*y - t^8.05*y + t^8.32*y - t^8.46*y + t^8.48*y + 3*t^8.73*y + t^8.75*y + 3*t^8.98*y	(2*t^2.13)/(g1^2*g2) + t^2.15/(g1*g2^2) + g1*g2^2*t^2.65 + g1^2*g2*t^2.67 + t^3.33/(g1^2*g2) + t^3.35/(g1*g2^2) + 2*t^3.6 + 2*g1*g2^2*t^3.85 + g1^2*g2*t^3.87 + (3*t^4.26)/(g1^4*g2^2) + (2*t^4.28)/(g1^3*g2^3) + t^4.3/(g1^2*g2^4) + t^4.53/(g1^2*g2) + t^4.55/(g1*g2^2) + (2*g2*t^4.78)/g1 + 3*t^4.8 + (g1*t^4.82)/g2 + 2*g1*g2^2*t^5.05 + 2*g1^2*g2*t^5.07 + g1^2*g2^4*t^5.3 + g1^3*g2^3*t^5.32 + g1^4*g2^2*t^5.34 + (2*t^5.46)/(g1^4*g2^2) + (3*t^5.48)/(g1^3*g2^3) + t^5.5/(g1^2*g2^4) + (4*t^5.73)/(g1^2*g2) + (2*t^5.75)/(g1*g2^2) + (4*g2*t^5.98)/g1 + 2*t^6. + (g1*t^6.02)/g2 + g2^3*t^6.23 + 3*g1*g2^2*t^6.25 + 3*g1^2*g2*t^6.27 + g1^3*t^6.29 + (4*t^6.39)/(g1^6*g2^3) + (3*t^6.41)/(g1^5*g2^4) + (2*t^6.43)/(g1^4*g2^5) + t^6.45/(g1^3*g2^6) + 2*g1^2*g2^4*t^6.5 + g1^3*g2^3*t^6.52 + g1^4*g2^2*t^6.54 + (3*t^6.66)/(g1^4*g2^2) + (4*t^6.68)/(g1^3*g2^3) + (2*t^6.7)/(g1^2*g2^4) + (3*t^6.91)/g1^3 + (6*t^6.93)/(g1^2*g2) + (4*t^6.95)/(g1*g2^2) + t^6.97/g2^3 + (5*g2*t^7.18)/g1 + 8*t^7.2 + (2*g1*t^7.22)/g2 + t^7.36/(g1^6*g2^6) + 2*g2^3*t^7.43 + 5*g1*g2^2*t^7.45 + 3*g1^2*g2*t^7.47 + g1^3*t^7.49 + (3*t^7.59)/(g1^6*g2^3) + (5*t^7.61)/(g1^5*g2^4) + (3*t^7.63)/(g1^4*g2^5) + t^7.65/(g1^3*g2^6) + 4*g1^2*g2^4*t^7.7 + 2*g1^3*g2^3*t^7.72 + 2*g1^4*g2^2*t^7.74 + (7*t^7.86)/(g1^4*g2^2) + (6*t^7.88)/(g1^3*g2^3) + (3*t^7.9)/(g1^2*g2^4) + g1^3*g2^6*t^7.95 + g1^4*g2^5*t^7.97 + g1^5*g2^4*t^7.99 + g1^6*g2^3*t^8.01 + (6*t^8.11)/g1^3 + (3*t^8.13)/(g1^2*g2) + (2*t^8.15)/(g1*g2^2) + t^8.17/g2^3 + (2*g2^2*t^8.36)/g1^2 + (8*g2*t^8.38)/g1 + 10*t^8.4 + (5*g1*t^8.42)/g2 + (g1^2*t^8.44)/g2^2 + (5*t^8.52)/(g1^8*g2^4) + (4*t^8.54)/(g1^7*g2^5) + (3*t^8.56)/(g1^6*g2^6) + (2*t^8.58)/(g1^5*g2^7) + t^8.6/(g1^4*g2^8) + 3*g2^3*t^8.63 + 2*g1*g2^2*t^8.65 + g1^2*g2*t^8.67 + (5*t^8.79)/(g1^6*g2^3) + (7*t^8.81)/(g1^5*g2^4) + (5*t^8.83)/(g1^4*g2^5) + (2*t^8.85)/(g1^3*g2^6) + g1*g2^5*t^8.88 + 6*g1^2*g2^4*t^8.9 + 6*g1^3*g2^3*t^8.92 + 4*g1^4*g2^2*t^8.94 + g1^5*g2*t^8.96 - t^4.2/y - t^5.4/y - (2*t^6.33)/(g1^2*g2*y) - t^6.35/(g1*g2^2*y) - (g1*g2^2*t^6.85)/y - (g1^2*g2*t^6.87)/y + t^7.26/(g1^4*g2^2*y) + (2*t^7.28)/(g1^3*g2^3*y) - (2*t^7.53)/(g1^2*g2*y) - t^7.55/(g1*g2^2*y) + (2*g2*t^7.78)/(g1*y) + (2*t^7.8)/y + (g1*t^7.82)/(g2*y) - (g1*g2^2*t^8.05)/y + (g1^3*g2^3*t^8.32)/y - t^8.46/(g1^4*g2^2*y) + t^8.48/(g1^3*g2^3*y) + (3*t^8.73)/(g1^2*g2*y) + t^8.75/(g1*g2^2*y) + (3*g2*t^8.98)/(g1*y) - t^4.2*y - t^5.4*y - (2*t^6.33*y)/(g1^2*g2) - (t^6.35*y)/(g1*g2^2) - g1*g2^2*t^6.85*y - g1^2*g2*t^6.87*y + (t^7.26*y)/(g1^4*g2^2) + (2*t^7.28*y)/(g1^3*g2^3) - (2*t^7.53*y)/(g1^2*g2) - (t^7.55*y)/(g1*g2^2) + (2*g2*t^7.78*y)/g1 + 2*t^7.8*y + (g1*t^7.82*y)/g2 - g1*g2^2*t^8.05*y + g1^3*g2^3*t^8.32*y - (t^8.46*y)/(g1^4*g2^2) + (t^8.48*y)/(g1^3*g2^3) + (3*t^8.73*y)/(g1^2*g2) + (t^8.75*y)/(g1*g2^2) + (3*g2*t^8.98*y)/g1

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
61013	${}\phi_{1}^{5}$ + ${ }M_{1}\phi_{1}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}q_{1}^{2}q_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }\phi_{1}^{2}q_{1}\tilde{q}_{2}$ + ${ }q_{2}\tilde{q}_{1}X_{1}$	1.1568	1.3739	0.842	[X:[1.6], M:[0.7258, 1.2], q:[0.6914, 0.2172], qb:[0.1828, 0.5086], phi:[0.4]]	2*t^2.18 + t^2.4 + t^2.62 + t^3.38 + 4*t^3.6 + t^3.82 + 3*t^4.36 + 3*t^4.58 + 6*t^4.8 + 2*t^5.02 + 2*t^5.24 + 3*t^5.56 + 9*t^5.78 + 4*t^6. - t^4.2/y - t^5.4/y - t^4.2*y - t^5.4*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
57347	SU3adj1nf2	${}\phi_{1}^{5}$ + ${ }M_{1}\phi_{1}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}q_{1}^{2}q_{2}$	1.3452	1.6133	0.8338	[M:[0.7103], q:[0.591, 0.4181], qb:[0.2987, 0.2923], phi:[0.4]]	2*t^2.131 + t^2.15 + t^2.4 + t^2.65 + t^2.669 + t^3.331 + t^3.35 + t^3.6 + 2*t^3.85 + t^3.869 + 3*t^4.262 + 2*t^4.281 + t^4.301 + 3*t^4.531 + 2*t^4.55 + 2*t^4.781 + 4*t^4.8 + t^4.819 + 3*t^5.05 + 3*t^5.069 + t^5.299 + t^5.319 + t^5.338 + 2*t^5.462 + 3*t^5.481 + t^5.501 + 3*t^5.731 + 2*t^5.75 + 4*t^5.981 + 3*t^6. - t^4.2/y - t^5.4/y - t^4.2*y - t^5.4*y	detail