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
3154	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{2}M_{3}$ + ${ }M_{5}M_{6}$ + ${ }\phi_{1}q_{1}q_{2}$ + ${ }M_{1}X_{1}$ + ${ }M_{7}\phi_{1}\tilde{q}_{2}^{2}$	0.5843	0.7357	0.7942	[X:[1.579], M:[0.421, 1.263, 0.737, 0.947, 1.053, 0.947, 0.736], q:[0.9475, 0.6315], qb:[0.3155, 0.4215], phi:[0.421]]	[X:[[2]], M:[[-2], [-6], [6], [-14], [14], [-14], [-32]], q:[[5], [-3]], qb:[[-11], [17]], phi:[[-2]]]	1

Relevant Operators	Marginal Operators	$n_{marginal}$$-$$|F_{IR}|$	Superconformal Index	Refined index
${}M_{7}$, ${ }M_{3}$, ${ }\phi_{1}^{2}$, ${ }M_{4}$, ${ }M_{6}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }M_{7}^{2}$, ${ }M_{3}M_{7}$, ${ }M_{3}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{7}\phi_{1}^{2}$, ${ }M_{3}\phi_{1}^{2}$, ${ }X_{1}$, ${ }M_{4}M_{7}$, ${ }M_{6}M_{7}$, ${ }M_{3}M_{4}$, ${ }M_{3}M_{6}$, ${ }\phi_{1}^{4}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{7}\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{6}\phi_{1}^{2}$, ${ }M_{3}\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{4}^{2}$, ${ }M_{4}M_{6}$, ${ }M_{6}^{2}$, ${ }\phi_{1}^{3}\tilde{q}_{1}^{2}$, ${ }M_{7}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{2}M_{7}$, ${ }M_{4}\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{6}\phi_{1}\tilde{q}_{1}^{2}$	${}\phi_{1}^{3}\tilde{q}_{1}\tilde{q}_{2}$	-1	t^2.208 + t^2.211 + t^2.526 + 2*t^2.841 + t^3.156 + t^3.474 + t^3.789 + t^4.107 + t^4.416 + t^4.419 + t^4.422 + t^4.734 + 2*t^4.737 + 2*t^5.049 + 3*t^5.052 + t^5.364 + 2*t^5.367 + 4*t^5.682 + 3*t^5.997 - t^6. + t^6.312 + 2*t^6.315 + t^6.624 + t^6.627 + 2*t^6.63 + t^6.942 + 2*t^6.945 + t^6.948 + 2*t^7.257 + 3*t^7.26 + 3*t^7.263 - t^7.266 + t^7.572 + 2*t^7.575 + 4*t^7.578 - t^7.581 + 4*t^7.89 + 4*t^7.893 - t^7.896 + 3*t^8.205 + 2*t^8.208 - 3*t^8.211 + t^8.214 + t^8.52 + 6*t^8.523 - 2*t^8.526 - t^8.529 + t^8.831 + t^8.835 + 5*t^8.838 - 4*t^8.841 - t^8.844 - t^4.263/y - t^6.471/y - t^6.789/y - t^7.104/y + t^7.419/y + t^7.422/y + t^7.734/y + (2*t^7.737)/y + (2*t^8.049)/y + (2*t^8.052)/y + t^8.055/y + t^8.364/y + (3*t^8.367)/y - t^8.679/y + (3*t^8.682)/y + t^8.685/y + (2*t^8.997)/y - t^4.263*y - t^6.471*y - t^6.789*y - t^7.104*y + t^7.419*y + t^7.422*y + t^7.734*y + 2*t^7.737*y + 2*t^8.049*y + 2*t^8.052*y + t^8.055*y + t^8.364*y + 3*t^8.367*y - t^8.679*y + 3*t^8.682*y + t^8.685*y + 2*t^8.997*y	t^2.208/g1^32 + g1^6*t^2.211 + t^2.526/g1^4 + (2*t^2.841)/g1^14 + t^3.156/g1^24 + g1^4*t^3.474 + t^3.789/g1^6 + g1^22*t^4.107 + t^4.416/g1^64 + t^4.419/g1^26 + g1^12*t^4.422 + t^4.734/g1^36 + 2*g1^2*t^4.737 + (2*t^5.049)/g1^46 + (3*t^5.052)/g1^8 + t^5.364/g1^56 + (2*t^5.367)/g1^18 + (4*t^5.682)/g1^28 + (3*t^5.997)/g1^38 - t^6. + t^6.312/g1^48 + (2*t^6.315)/g1^10 + t^6.624/g1^96 + t^6.627/g1^58 + (2*t^6.63)/g1^20 + t^6.942/g1^68 + (2*t^6.945)/g1^30 + g1^8*t^6.948 + (2*t^7.257)/g1^78 + (3*t^7.26)/g1^40 + (3*t^7.263)/g1^2 - g1^36*t^7.266 + t^7.572/g1^88 + (2*t^7.575)/g1^50 + (4*t^7.578)/g1^12 - g1^26*t^7.581 + (4*t^7.89)/g1^60 + (4*t^7.893)/g1^22 - g1^16*t^7.896 + (3*t^8.205)/g1^70 + (2*t^8.208)/g1^32 - 3*g1^6*t^8.211 + g1^44*t^8.214 + t^8.52/g1^80 + (6*t^8.523)/g1^42 - (2*t^8.526)/g1^4 - g1^34*t^8.529 + t^8.831/g1^128 + t^8.835/g1^90 + (5*t^8.838)/g1^52 - (4*t^8.841)/g1^14 - g1^24*t^8.844 - t^4.263/(g1^2*y) - t^6.471/(g1^34*y) - t^6.789/(g1^6*y) - t^7.104/(g1^16*y) + t^7.419/(g1^26*y) + (g1^12*t^7.422)/y + t^7.734/(g1^36*y) + (2*g1^2*t^7.737)/y + (2*t^8.049)/(g1^46*y) + (2*t^8.052)/(g1^8*y) + (g1^30*t^8.055)/y + t^8.364/(g1^56*y) + (3*t^8.367)/(g1^18*y) - t^8.679/(g1^66*y) + (3*t^8.682)/(g1^28*y) + (g1^10*t^8.685)/y + (2*t^8.997)/(g1^38*y) - (t^4.263*y)/g1^2 - (t^6.471*y)/g1^34 - (t^6.789*y)/g1^6 - (t^7.104*y)/g1^16 + (t^7.419*y)/g1^26 + g1^12*t^7.422*y + (t^7.734*y)/g1^36 + 2*g1^2*t^7.737*y + (2*t^8.049*y)/g1^46 + (2*t^8.052*y)/g1^8 + g1^30*t^8.055*y + (t^8.364*y)/g1^56 + (3*t^8.367*y)/g1^18 - (t^8.679*y)/g1^66 + (3*t^8.682*y)/g1^28 + g1^10*t^8.685*y + (2*t^8.997*y)/g1^38

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
5011	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{2}M_{3}$ + ${ }M_{5}M_{6}$ + ${ }\phi_{1}q_{1}q_{2}$ + ${ }M_{1}X_{1}$ + ${ }M_{7}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{7}^{2}$	0.543	0.6758	0.8035	[X:[1.5625], M:[0.4375, 1.3125, 0.6875, 1.0625, 0.9375, 1.0625, 1.0], q:[0.9063, 0.6563], qb:[0.4063, 0.2813], phi:[0.4375]]	t^2.063 + t^2.625 + t^3. + 2*t^3.188 + t^3.375 + t^3.563 + t^3.75 + t^3.938 + t^4.125 + 2*t^4.688 + t^5.063 + 3*t^5.25 + t^5.625 + 2*t^5.813 - t^4.313/y - t^4.313*y	detail	{a: 35583/65536, c: 44287/65536, X1: 25/16, M1: 7/16, M2: 21/16, M3: 11/16, M4: 17/16, M5: 15/16, M6: 17/16, M7: 1, q1: 29/32, q2: 21/32, qb1: 13/32, qb2: 9/32, phi1: 7/16}

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
2091	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{2}M_{3}$ + ${ }M_{5}M_{6}$ + ${ }\phi_{1}q_{1}q_{2}$ + ${ }M_{1}X_{1}$	0.5654	0.7	0.8078	[X:[1.5765], M:[0.4235, 1.2705, 0.7295, 0.9645, 1.0355, 0.9645], q:[0.9413, 0.6352], qb:[0.3292, 0.4003], phi:[0.4235]]	t^2.189 + t^2.541 + 2*t^2.893 + t^3.246 + t^3.459 + t^3.672 + t^3.811 + t^4.025 + t^4.377 + 2*t^4.73 + 3*t^5.082 + 2*t^5.434 + 3*t^5.787 + t^5.861 - t^6. - t^4.27/y - t^4.27*y	detail