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
58628	SU3adj1nf2	${}\phi_{1}^{4}$ + ${ }q_{1}\tilde{q}_{1}X_{1}$ + ${ }q_{2}\tilde{q}_{1}X_{2}$ + ${ }q_{1}\tilde{q}_{2}X_{3}$ + ${ }q_{2}\tilde{q}_{2}X_{4}$ + ${ }M_{1}\phi_{1}q_{1}^{2}q_{2}$ + ${ }M_{2}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}^{2}$ + ${ }M_{1}\phi_{1}q_{2}\tilde{q}_{1}$	0.9786	1.1906	0.8219	[X:[1.5248, 1.392, 1.608, 1.4752], M:[0.892, 0.7159], q:[0.1584, 0.2912], qb:[0.3168, 0.2336], phi:[0.5]]	[X:[[0, -3], [-1, 0], [1, 0], [0, 3]], M:[[-1, 0], [2, 0]], q:[[0, 1], [1, -2]], qb:[[0, 2], [-1, -1]], phi:[[0, 0]]]	2

Relevant Operators	Marginal Operators	$n_{marginal}$$-$$|F_{IR}|$	Superconformal Index	Refined index
${}M_{2}$, ${ }M_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}q_{2}^{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{2}$, ${ }X_{2}$, ${ }M_{2}^{2}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{1}$, ${ }X_{4}$, ${ }\phi_{1}^{3}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$, ${ }X_{1}$, ${ }M_{1}M_{2}$, ${ }\phi_{1}^{2}q_{1}^{2}q_{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$, ${ }M_{2}\phi_{1}q_{1}\tilde{q}_{2}$, ${ }X_{3}$, ${ }M_{2}\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{2}\phi_{1}^{2}$, ${ }\phi_{1}^{2}q_{1}q_{2}^{2}$, ${ }M_{2}\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{1}^{2}$, ${ }M_{1}\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{1}^{2}\tilde{q}_{2}^{2}$, ${ }\phi_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}^{2}$, ${ }M_{2}\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{1}\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{2}\tilde{q}_{1}^{2}\tilde{q}_{2}$, ${ }M_{1}\phi_{1}^{2}$, ${ }M_{1}\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{1}q_{2}\tilde{q}_{2}^{2}$, ${ }\phi_{1}^{2}q_{1}^{2}\tilde{q}_{1}^{2}$, ${ }M_{2}\phi_{1}q_{1}q_{2}^{2}$, ${ }\phi_{1}^{3}q_{1}^{3}$	${}\phi_{1}^{2}q_{1}q_{2}\tilde{q}_{1}\tilde{q}_{2}$	-1	t^2.15 + 2*t^2.68 + t^2.93 + t^3. + t^3.07 + t^3.32 + t^3.72 + t^4.1 + 2*t^4.18 + t^4.3 + 2*t^4.43 + t^4.5 + 2*t^4.57 + 5*t^4.82 + t^5.07 + t^5.15 + 2*t^5.22 + 4*t^5.35 + t^5.47 + 2*t^5.6 + t^5.68 + t^5.75 + t^5.85 + t^5.87 + t^5.93 - t^6. + t^6.15 + t^6.25 + 2*t^6.32 + t^6.44 + 2*t^6.57 + t^6.6 + t^6.65 + 3*t^6.72 + t^6.8 + 4*t^6.85 + 5*t^6.97 + t^7.03 + t^7.05 + 6*t^7.1 + t^7.12 + t^7.18 + t^7.22 + 5*t^7.25 + t^7.3 + 3*t^7.35 + 2*t^7.37 + t^7.43 + t^7.44 + 11*t^7.5 + t^7.57 + t^7.62 + 2*t^7.65 + 4*t^7.75 + 2*t^7.82 + 5*t^7.9 + t^8. + t^8.02 + 4*t^8.03 + t^8.07 - t^8.1 + t^8.15 + t^8.2 + 2*t^8.28 + 2*t^8.3 + 3*t^8.35 + t^8.4 + 2*t^8.47 + 2*t^8.53 + 2*t^8.55 + t^8.59 + 3*t^8.6 - t^8.62 - 7*t^8.68 + 2*t^8.72 + 2*t^8.75 + t^8.78 + t^8.8 + t^8.82 + 3*t^8.85 + 3*t^8.87 - 4*t^8.93 + 2*t^8.94 - t^4.5/y - t^6./y - t^6.65/y - t^7.18/y + t^7.5/y + (3*t^7.82)/y + t^8.07/y + t^8.22/y + (2*t^8.35)/y + t^8.47/y + (2*t^8.6)/y - t^8.68/y + (2*t^8.75)/y - t^8.8/y + t^8.87/y - t^8.93/y - t^4.5*y - t^6.*y - t^6.65*y - t^7.18*y + t^7.5*y + 3*t^7.82*y + t^8.07*y + t^8.22*y + 2*t^8.35*y + t^8.47*y + 2*t^8.6*y - t^8.68*y + 2*t^8.75*y - t^8.8*y + t^8.87*y - t^8.93*y	g1^2*t^2.15 + (2*t^2.68)/g1 + g2^3*t^2.93 + t^3. + t^3.07/g2^3 + g1*t^3.32 + (g1^2*t^3.72)/g2^3 + (g2^3*t^4.1)/g1 + (2*t^4.18)/g1 + g1^4*t^4.3 + 2*g2^3*t^4.43 + t^4.5 + (2*t^4.57)/g2^3 + 5*g1*t^4.82 + g1^2*g2^3*t^5.07 + g1^2*t^5.15 + (2*g1^2*t^5.22)/g2^3 + (4*t^5.35)/g1^2 + g1^3*t^5.47 + (2*g2^3*t^5.6)/g1 + t^5.68/g1 + t^5.75/(g1*g2^3) + g2^6*t^5.85 + (g1^4*t^5.87)/g2^3 + g2^3*t^5.93 - t^6. + t^6.15/g2^6 + g1*g2^3*t^6.25 + 2*g1*t^6.32 + g1^6*t^6.44 + 2*g1^2*g2^3*t^6.57 + t^6.6/(g1^3*g2^3) + g1^2*t^6.65 + (3*g1^2*t^6.72)/g2^3 + (g1^2*t^6.8)/g2^6 + (4*t^6.85)/g1^2 + 5*g1^3*t^6.97 + (g2^6*t^7.03)/g1 + (g1^3*t^7.05)/g2^3 + (6*g2^3*t^7.1)/g1 + (g1^3*t^7.12)/g2^6 + t^7.18/g1 + g1^4*g2^3*t^7.22 + (5*t^7.25)/(g1*g2^3) + g1^4*t^7.3 + 3*g2^6*t^7.35 + (2*g1^4*t^7.37)/g2^3 + g2^3*t^7.43 + (g1^4*t^7.44)/g2^6 + 11*t^7.5 + t^7.57/g2^3 + g1^5*t^7.62 + (2*t^7.65)/g2^6 + 4*g1*g2^3*t^7.75 + 2*g1*t^7.82 + (5*g1*t^7.9)/g2^3 + g1^2*g2^6*t^8. + (g1^6*t^8.02)/g2^3 + (4*t^8.03)/g1^3 + g1^2*g2^3*t^8.07 - t^8.1/(g1^3*g2^3) + g1^2*t^8.15 + (g2^6*t^8.2)/g1^2 + (2*g2^3*t^8.28)/g1^2 + (2*g1^2*t^8.3)/g2^6 + (3*t^8.35)/g1^2 + g1^3*g2^3*t^8.4 + 2*g1^3*t^8.47 + (2*g2^6*t^8.53)/g1 + (2*g1^3*t^8.55)/g2^3 + g1^8*t^8.59 + (3*g2^3*t^8.6)/g1 - (g1^3*t^8.62)/g2^6 - (7*t^8.68)/g1 + 2*g1^4*g2^3*t^8.72 + (2*t^8.75)/(g1*g2^3) + g2^9*t^8.78 + g1^4*t^8.8 + t^8.82/(g1*g2^6) + 3*g2^6*t^8.85 + (3*g1^4*t^8.87)/g2^3 - 4*g2^3*t^8.93 + (2*g1^4*t^8.94)/g2^6 - t^4.5/y - t^6./y - (g1^2*t^6.65)/y - t^7.18/(g1*y) + t^7.5/y + (3*g1*t^7.82)/y + (g1^2*g2^3*t^8.07)/y + (g1^2*t^8.22)/(g2^3*y) + (2*t^8.35)/(g1^2*y) + (g1^3*t^8.47)/y + (2*g2^3*t^8.6)/(g1*y) - t^8.68/(g1*y) + (2*t^8.75)/(g1*g2^3*y) - (g1^4*t^8.8)/y + (g1^4*t^8.87)/(g2^3*y) - (g2^3*t^8.93)/y - t^4.5*y - t^6.*y - g1^2*t^6.65*y - (t^7.18*y)/g1 + t^7.5*y + 3*g1*t^7.82*y + g1^2*g2^3*t^8.07*y + (g1^2*t^8.22*y)/g2^3 + (2*t^8.35*y)/g1^2 + g1^3*t^8.47*y + (2*g2^3*t^8.6*y)/g1 - (t^8.68*y)/g1 + (2*t^8.75*y)/(g1*g2^3) - g1^4*t^8.8*y + (g1^4*t^8.87*y)/g2^3 - g2^3*t^8.93*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
61028	${}\phi_{1}^{4}$ + ${ }q_{1}\tilde{q}_{1}X_{1}$ + ${ }q_{2}\tilde{q}_{1}X_{2}$ + ${ }q_{1}\tilde{q}_{2}X_{3}$ + ${ }q_{2}\tilde{q}_{2}X_{4}$ + ${ }M_{1}\phi_{1}q_{1}^{2}q_{2}$ + ${ }M_{2}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}^{2}$ + ${ }M_{1}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}q_{1}q_{2}\tilde{q}_{2}^{2}$	0.9738	1.1873	0.8202	[X:[1.5847, 1.4153, 1.5847, 1.4153], M:[0.9153, 0.6695], q:[0.1384, 0.3079], qb:[0.2768, 0.2768], phi:[0.5]]	t^2.01 + 3*t^2.75 + t^3. + 2*t^3.25 + t^3.76 + t^3.99 + t^4.02 + 4*t^4.25 + t^4.5 + 8*t^4.75 + t^5.01 + 3*t^5.26 + 7*t^5.49 + 2*t^5.75 + t^5.77 + t^6. - t^4.5/y - t^6./y - t^4.5*y - t^6.*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
57746	SU3adj1nf2	${}\phi_{1}^{4}$ + ${ }q_{1}\tilde{q}_{1}X_{1}$ + ${ }q_{2}\tilde{q}_{1}X_{2}$ + ${ }q_{1}\tilde{q}_{2}X_{3}$ + ${ }q_{2}\tilde{q}_{2}X_{4}$ + ${ }M_{1}\phi_{1}q_{1}^{2}q_{2}$ + ${ }M_{2}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}^{2}$	1.0052	1.2251	0.8205	[X:[1.5, 1.5176, 1.4824, 1.5], M:[0.7412, 0.7412], q:[0.2588, 0.2412], qb:[0.2412, 0.2588], phi:[0.5]]	2*t^2.22 + t^2.95 + 3*t^3. + t^3.05 + 2*t^3.72 + 5*t^4.45 + 5*t^4.5 + 2*t^4.55 + 2*t^5.17 + 8*t^5.22 + 4*t^5.28 + t^5.89 + 4*t^5.95 - t^4.5/y - t^6./y - t^4.5*y - t^6.*y	detail