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
2423	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }M_{4}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}X_{1}$ + ${ }M_{2}M_{5}$ + ${ }M_{6}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{7}q_{1}\tilde{q}_{2}$	0.6661	0.8389	0.794	[X:[1.5734], M:[0.4266, 1.1911, 0.7867, 0.8532, 0.8089, 0.7867, 0.8311], q:[0.7978, 0.7756], qb:[0.4377, 0.3712], phi:[0.4044]]	[X:[[12]], M:[[-12], [4], [6], [-24], [-4], [6], [-14]], q:[[1], [11]], qb:[[-17], [13]], phi:[[-2]]]	1

Relevant Operators	Marginal Operators	$n_{marginal}$$-$$|F_{IR}|$	Superconformal Index	Refined index
${}M_{3}$, ${ }M_{6}$, ${ }M_{5}$, ${ }\phi_{1}^{2}$, ${ }M_{7}$, ${ }M_{4}$, ${ }q_{2}\tilde{q}_{2}$, ${ }q_{1}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{3}^{2}$, ${ }M_{3}M_{6}$, ${ }M_{6}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }X_{1}$, ${ }M_{3}M_{5}$, ${ }M_{5}M_{6}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{6}\phi_{1}^{2}$, ${ }M_{5}^{2}$, ${ }M_{3}M_{7}$, ${ }M_{6}M_{7}$, ${ }M_{5}\phi_{1}^{2}$, ${ }\phi_{1}^{4}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{3}M_{4}$, ${ }M_{4}M_{6}$, ${ }M_{5}M_{7}$, ${ }M_{7}\phi_{1}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{4}M_{5}$, ${ }M_{7}^{2}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{4}M_{7}$, ${ }M_{4}^{2}$, ${ }M_{3}q_{2}\tilde{q}_{2}$, ${ }M_{6}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }M_{5}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$	${}$	-3	2*t^2.36 + 2*t^2.427 + t^2.493 + t^2.56 + t^3.44 + t^3.706 + t^3.84 + t^4.654 + 4*t^4.72 + 3*t^4.787 + 6*t^4.853 + 4*t^4.92 + 2*t^4.986 + t^5.053 + t^5.119 + t^5.8 + 3*t^5.867 - 3*t^6. + t^6.067 + t^6.133 + t^6.2 + 3*t^6.266 + t^6.333 + t^6.399 + t^6.881 - t^7.014 + 6*t^7.08 + 5*t^7.147 + 7*t^7.213 + 11*t^7.28 + 7*t^7.346 + 5*t^7.413 + 4*t^7.479 + 3*t^7.546 + t^7.613 + 2*t^7.679 + t^8.094 + t^8.16 + t^8.227 + 2*t^8.294 - 6*t^8.36 - 5*t^8.427 - 4*t^8.493 + 2*t^8.626 + 5*t^8.693 + 3*t^8.759 + 3*t^8.826 + t^8.892 + t^8.959 - t^4.213/y - (2*t^6.573)/y - t^6.64/y - t^6.706/y - t^6.773/y + t^7.654/y + (2*t^7.72)/y + (5*t^7.787)/y + (5*t^7.853)/y + (4*t^7.92)/y + (2*t^7.986)/y + t^8.053/y + (2*t^8.8)/y + (2*t^8.867)/y - (2*t^8.933)/y - t^4.213*y - 2*t^6.573*y - t^6.64*y - t^6.706*y - t^6.773*y + t^7.654*y + 2*t^7.72*y + 5*t^7.787*y + 5*t^7.853*y + 4*t^7.92*y + 2*t^7.986*y + t^8.053*y + 2*t^8.8*y + 2*t^8.867*y - 2*t^8.933*y	2*g1^6*t^2.36 + (2*t^2.427)/g1^4 + t^2.493/g1^14 + t^2.56/g1^24 + g1^24*t^3.44 + t^3.706/g1^16 + t^3.84/g1^36 + g1^22*t^4.654 + 4*g1^12*t^4.72 + 3*g1^2*t^4.787 + (6*t^4.853)/g1^8 + (4*t^4.92)/g1^18 + (2*t^4.986)/g1^28 + t^5.053/g1^38 + t^5.119/g1^48 + g1^30*t^5.8 + 3*g1^20*t^5.867 - 3*t^6. + t^6.067/g1^10 + t^6.133/g1^20 + t^6.2/g1^30 + (3*t^6.266)/g1^40 + t^6.333/g1^50 + t^6.399/g1^60 + g1^48*t^6.881 - g1^28*t^7.014 + 6*g1^18*t^7.08 + 5*g1^8*t^7.147 + (7*t^7.213)/g1^2 + (11*t^7.28)/g1^12 + (7*t^7.346)/g1^22 + (5*t^7.413)/g1^32 + (4*t^7.479)/g1^42 + (3*t^7.546)/g1^52 + t^7.613/g1^62 + (2*t^7.679)/g1^72 + g1^46*t^8.094 + g1^36*t^8.16 + g1^26*t^8.227 + 2*g1^16*t^8.294 - 6*g1^6*t^8.36 - (5*t^8.427)/g1^4 - (4*t^8.493)/g1^14 + (2*t^8.626)/g1^34 + (5*t^8.693)/g1^44 + (3*t^8.759)/g1^54 + (3*t^8.826)/g1^64 + t^8.892/g1^74 + t^8.959/g1^84 - t^4.213/(g1^2*y) - (2*g1^4*t^6.573)/y - t^6.64/(g1^6*y) - t^6.706/(g1^16*y) - t^6.773/(g1^26*y) + (g1^22*t^7.654)/y + (2*g1^12*t^7.72)/y + (5*g1^2*t^7.787)/y + (5*t^7.853)/(g1^8*y) + (4*t^7.92)/(g1^18*y) + (2*t^7.986)/(g1^28*y) + t^8.053/(g1^38*y) + (2*g1^30*t^8.8)/y + (2*g1^20*t^8.867)/y - (2*g1^10*t^8.933)/y - (t^4.213*y)/g1^2 - 2*g1^4*t^6.573*y - (t^6.64*y)/g1^6 - (t^6.706*y)/g1^16 - (t^6.773*y)/g1^26 + g1^22*t^7.654*y + 2*g1^12*t^7.72*y + 5*g1^2*t^7.787*y + (5*t^7.853*y)/g1^8 + (4*t^7.92*y)/g1^18 + (2*t^7.986*y)/g1^28 + (t^8.053*y)/g1^38 + 2*g1^30*t^8.8*y + 2*g1^20*t^8.867*y - 2*g1^10*t^8.933*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
4465	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }M_{4}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}X_{1}$ + ${ }M_{2}M_{5}$ + ${ }M_{6}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{7}q_{1}\tilde{q}_{2}$ + ${ }M_{4}M_{7}$	0.6265	0.791	0.7921	[X:[1.4737], M:[0.5263, 1.1579, 0.7368, 1.0526, 0.8421, 0.7368, 0.9474], q:[0.7895, 0.6842], qb:[0.5789, 0.2632], phi:[0.4211]]	2*t^2.211 + 2*t^2.526 + 2*t^2.842 + t^3.158 + 2*t^4.105 + 4*t^4.421 + 4*t^4.737 + 7*t^5.053 + 7*t^5.368 + 3*t^5.684 - 2*t^6. - t^4.263/y - t^4.263*y	detail	{a: 34377/54872, c: 21701/27436, X1: 28/19, M1: 10/19, M2: 22/19, M3: 14/19, M4: 20/19, M5: 16/19, M6: 14/19, M7: 18/19, q1: 15/19, q2: 13/19, qb1: 11/19, qb2: 5/19, phi1: 8/19}
4467	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }M_{4}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}X_{1}$ + ${ }M_{2}M_{5}$ + ${ }M_{6}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{7}q_{1}\tilde{q}_{2}$ + ${ }M_{4}M_{8}$	0.6547	0.8192	0.7993	[X:[1.5533], M:[0.4467, 1.1844, 0.7767, 0.8933, 0.8156, 0.7767, 0.8544, 1.1067], q:[0.7961, 0.7572], qb:[0.4661, 0.3495], phi:[0.4078]]	2*t^2.33 + 2*t^2.447 + t^2.563 + 2*t^3.32 + t^3.787 + t^4.02 + t^4.543 + 4*t^4.66 + 3*t^4.777 + 6*t^4.893 + 2*t^5.01 + 3*t^5.65 + 5*t^5.767 + t^5.883 - 4*t^6. - t^4.223/y - t^4.223*y	detail
4466	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }M_{4}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}X_{1}$ + ${ }M_{2}M_{5}$ + ${ }M_{6}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{7}q_{1}\tilde{q}_{2}$ + ${ }M_{8}q_{1}\tilde{q}_{1}$	0.6847	0.8722	0.785	[X:[1.5666], M:[0.4334, 1.1889, 0.7833, 0.8668, 0.8111, 0.7833, 0.839, 0.7555], q:[0.7972, 0.7694], qb:[0.4473, 0.3638], phi:[0.4056]]	t^2.266 + 2*t^2.35 + 2*t^2.433 + t^2.517 + t^2.6 + t^3.4 + t^3.901 + t^4.533 + 3*t^4.616 + 6*t^4.7 + 4*t^4.783 + 7*t^4.867 + 4*t^4.95 + 2*t^5.034 + t^5.117 + t^5.201 + t^5.666 + t^5.75 + 3*t^5.833 - 3*t^6. - t^4.217/y - t^4.217*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
1354	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }M_{4}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}X_{1}$ + ${ }M_{2}M_{5}$ + ${ }M_{6}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$	0.652	0.8141	0.8009	[X:[1.5634], M:[0.4366, 1.1878, 0.7817, 0.8733, 0.8122, 0.7817], q:[0.7969, 0.7664], qb:[0.4519, 0.3603], phi:[0.4061]]	2*t^2.345 + 2*t^2.437 + t^2.62 + t^3.38 + t^3.472 + t^3.747 + t^3.93 + t^4.599 + 4*t^4.69 + 3*t^4.782 + 4*t^4.873 + 2*t^4.965 + t^5.056 + t^5.24 + t^5.725 + 5*t^5.817 + t^5.908 - 3*t^6. - t^4.218/y - t^4.218*y	detail