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
47237	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{3}^{2}$ + ${ }M_{1}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{5}\phi_{1}^{2}$	0.6442	0.847	0.7605	[M:[0.7366, 0.7187, 1.0, 0.7366, 1.0179], q:[0.7545, 0.5089], qb:[0.5268, 0.2455], phi:[0.4911]]	[M:[[3], [7], [0], [3], [-4]], q:[[-1], [-2]], qb:[[-6], [1]], phi:[[2]]]	1

Relevant Operators	Marginal Operators	$n_{marginal}$$-$$|F_{IR}|$	Superconformal Index	Refined index
${}M_{2}$, ${ }M_{1}$, ${ }M_{4}$, ${ }q_{2}\tilde{q}_{2}$, ${ }\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{3}$, ${ }M_{5}$, ${ }q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{2}^{2}$, ${ }M_{1}M_{2}$, ${ }M_{2}M_{4}$, ${ }M_{1}^{2}$, ${ }M_{1}M_{4}$, ${ }M_{4}^{2}$, ${ }M_{2}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{4}q_{2}\tilde{q}_{2}$, ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }M_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{4}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{2}^{2}\tilde{q}_{2}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }q_{2}\tilde{q}_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\tilde{q}_{1}^{2}\tilde{q}_{2}^{2}$, ${ }M_{2}\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{2}M_{3}$, ${ }M_{1}\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{4}\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{1}M_{3}$, ${ }M_{3}M_{4}$, ${ }M_{2}M_{5}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}^{3}$, ${ }M_{1}M_{5}$, ${ }M_{4}M_{5}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }M_{2}q_{2}\tilde{q}_{1}$, ${ }M_{3}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}^{3}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{4}q_{2}\tilde{q}_{1}$, ${ }M_{5}q_{2}\tilde{q}_{2}$, ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{5}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{2}\tilde{q}_{1}^{2}\tilde{q}_{2}$, ${ }M_{2}\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}^{2}\tilde{q}_{2}^{4}$, ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{3}\phi_{1}\tilde{q}_{2}^{2}$	${}M_{5}\phi_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}q_{2}^{2}\tilde{q}_{2}^{2}$	-1	t^2.156 + 2*t^2.21 + t^2.263 + t^2.317 + t^2.946 + t^3. + t^3.054 + t^3.107 + t^3.737 + t^4.312 + 2*t^4.366 + 4*t^4.42 + 3*t^4.473 + 4*t^4.527 + 2*t^4.58 + 2*t^4.634 + t^5.103 + 2*t^5.156 + 3*t^5.21 + 5*t^5.263 + 4*t^5.317 + 2*t^5.371 + t^5.424 + 2*t^5.893 + t^5.946 - t^6. + t^6.054 + t^6.107 + t^6.161 + t^6.214 + t^6.469 + 2*t^6.522 + 4*t^6.576 + 6*t^6.629 + 6*t^6.683 + 7*t^6.737 + 5*t^6.79 + 5*t^6.844 + 2*t^6.897 + 2*t^6.951 + t^7.259 + 2*t^7.312 + 4*t^7.366 + 6*t^7.42 + 9*t^7.473 + 7*t^7.527 + 7*t^7.58 + 6*t^7.634 + 3*t^7.688 + 2*t^7.741 + 2*t^8.049 + 2*t^8.103 - t^8.156 - 3*t^8.21 - t^8.263 - t^8.317 + 3*t^8.371 + 3*t^8.424 + 2*t^8.478 + t^8.531 + t^8.625 + 2*t^8.679 + 4*t^8.732 + 6*t^8.786 + 11*t^8.839 + 8*t^8.893 + 8*t^8.946 - t^4.473/y - t^6.629/y - (2*t^6.683)/y + (2*t^7.366)/y + (2*t^7.42)/y + (3*t^7.473)/y + (2*t^7.527)/y + t^7.58/y + t^8.103/y + (3*t^8.156)/y + (4*t^8.21)/y + (7*t^8.263)/y + (5*t^8.317)/y + (2*t^8.371)/y + t^8.424/y - t^8.786/y - (2*t^8.839)/y - (2*t^8.893)/y + (3*t^8.946)/y - t^4.473*y - t^6.629*y - 2*t^6.683*y + 2*t^7.366*y + 2*t^7.42*y + 3*t^7.473*y + 2*t^7.527*y + t^7.58*y + t^8.103*y + 3*t^8.156*y + 4*t^8.21*y + 7*t^8.263*y + 5*t^8.317*y + 2*t^8.371*y + t^8.424*y - t^8.786*y - 2*t^8.839*y - 2*t^8.893*y + 3*t^8.946*y	g1^7*t^2.156 + 2*g1^3*t^2.21 + t^2.263/g1 + t^2.317/g1^5 + g1^4*t^2.946 + t^3. + t^3.054/g1^4 + t^3.107/g1^8 + g1*t^3.737 + g1^14*t^4.312 + 2*g1^10*t^4.366 + 4*g1^6*t^4.42 + 3*g1^2*t^4.473 + (4*t^4.527)/g1^2 + (2*t^4.58)/g1^6 + (2*t^4.634)/g1^10 + g1^11*t^5.103 + 2*g1^7*t^5.156 + 3*g1^3*t^5.21 + (5*t^5.263)/g1 + (4*t^5.317)/g1^5 + (2*t^5.371)/g1^9 + t^5.424/g1^13 + 2*g1^8*t^5.893 + g1^4*t^5.946 - t^6. + t^6.054/g1^4 + t^6.107/g1^8 + t^6.161/g1^12 + t^6.214/g1^16 + g1^21*t^6.469 + 2*g1^17*t^6.522 + 4*g1^13*t^6.576 + 6*g1^9*t^6.629 + 6*g1^5*t^6.683 + 7*g1*t^6.737 + (5*t^6.79)/g1^3 + (5*t^6.844)/g1^7 + (2*t^6.897)/g1^11 + (2*t^6.951)/g1^15 + g1^18*t^7.259 + 2*g1^14*t^7.312 + 4*g1^10*t^7.366 + 6*g1^6*t^7.42 + 9*g1^2*t^7.473 + (7*t^7.527)/g1^2 + (7*t^7.58)/g1^6 + (6*t^7.634)/g1^10 + (3*t^7.688)/g1^14 + (2*t^7.741)/g1^18 + 2*g1^15*t^8.049 + 2*g1^11*t^8.103 - g1^7*t^8.156 - 3*g1^3*t^8.21 - t^8.263/g1 - t^8.317/g1^5 + (3*t^8.371)/g1^9 + (3*t^8.424)/g1^13 + (2*t^8.478)/g1^17 + t^8.531/g1^21 + g1^28*t^8.625 + 2*g1^24*t^8.679 + 4*g1^20*t^8.732 + 6*g1^16*t^8.786 + 11*g1^12*t^8.839 + 8*g1^8*t^8.893 + 8*g1^4*t^8.946 - (g1^2*t^4.473)/y - (g1^9*t^6.629)/y - (2*g1^5*t^6.683)/y + (2*g1^10*t^7.366)/y + (2*g1^6*t^7.42)/y + (3*g1^2*t^7.473)/y + (2*t^7.527)/(g1^2*y) + t^7.58/(g1^6*y) + (g1^11*t^8.103)/y + (3*g1^7*t^8.156)/y + (4*g1^3*t^8.21)/y + (7*t^8.263)/(g1*y) + (5*t^8.317)/(g1^5*y) + (2*t^8.371)/(g1^9*y) + t^8.424/(g1^13*y) - (g1^16*t^8.786)/y - (2*g1^12*t^8.839)/y - (2*g1^8*t^8.893)/y + (3*g1^4*t^8.946)/y - g1^2*t^4.473*y - g1^9*t^6.629*y - 2*g1^5*t^6.683*y + 2*g1^10*t^7.366*y + 2*g1^6*t^7.42*y + 3*g1^2*t^7.473*y + (2*t^7.527*y)/g1^2 + (t^7.58*y)/g1^6 + g1^11*t^8.103*y + 3*g1^7*t^8.156*y + 4*g1^3*t^8.21*y + (7*t^8.263*y)/g1 + (5*t^8.317*y)/g1^5 + (2*t^8.371*y)/g1^9 + (t^8.424*y)/g1^13 - g1^16*t^8.786*y - 2*g1^12*t^8.839*y - 2*g1^8*t^8.893*y + 3*g1^4*t^8.946*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
55518	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{3}^{2}$ + ${ }M_{1}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{5}\phi_{1}^{2}$ + ${ }q_{2}\tilde{q}_{1}^{2}\tilde{q}_{2}$ + ${ }M_{2}X_{1}$	0.6123	0.7902	0.7749	[X:[1.3846], M:[0.6923, 0.6154, 1.0, 0.6923, 1.0769], q:[0.7692, 0.5385], qb:[0.6154, 0.2308], phi:[0.4615]]	2*t^2.077 + t^2.308 + t^2.538 + t^2.769 + t^3. + t^3.231 + t^3.462 + t^3.692 + 4*t^4.154 + 2*t^4.385 + 4*t^4.615 + 3*t^4.846 + 4*t^5.077 + 4*t^5.308 + 5*t^5.538 + 3*t^5.769 - t^4.385/y - t^4.385*y	detail	{a: 21525/35152, c: 13889/17576, X1: 18/13, M1: 9/13, M2: 8/13, M3: 1, M4: 9/13, M5: 14/13, q1: 10/13, q2: 7/13, qb1: 8/13, qb2: 3/13, phi1: 6/13}

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
46643	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{3}^{2}$ + ${ }M_{1}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$	0.6465	0.8511	0.7596	[M:[0.7263, 0.6947, 1.0, 0.7263], q:[0.7579, 0.5158], qb:[0.5474, 0.2421], phi:[0.4842]]	t^2.084 + 2*t^2.179 + t^2.274 + t^2.368 + 2*t^2.905 + t^3. + t^3.19 + t^3.726 + t^4.168 + 2*t^4.263 + 4*t^4.358 + 3*t^4.453 + 4*t^4.547 + 2*t^4.642 + 2*t^4.737 + 2*t^4.989 + 4*t^5.084 + 3*t^5.179 + 4*t^5.274 + 3*t^5.368 + t^5.463 + t^5.558 + 4*t^5.81 + 2*t^5.905 - 2*t^6. - t^4.453/y - t^4.453*y	detail