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
57123	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{4}^{2}$ + ${ }\phi_{1}q_{2}^{2}$ + ${ }M_{5}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}M_{6}$ + ${ }M_{3}M_{7}$	0.6253	0.8117	0.7704	[M:[0.7456, 0.9644, 1.2544, 1.0, 0.7278, 1.0356, 0.7456], q:[0.5, 0.7544], qb:[0.5356, 0.2456], phi:[0.4911]]	[M:[[1], [8], [-1], [0], [5], [-8], [1]], q:[[0], [-1]], qb:[[-8], [1]], phi:[[2]]]	1

Relevant Operators	Marginal Operators	$n_{marginal}$$-$$|F_{IR}|$	Superconformal Index	Refined index
${}M_{5}$, ${ }M_{1}$, ${ }M_{7}$, ${ }\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{4}$, ${ }M_{6}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }q_{2}\tilde{q}_{1}$, ${ }M_{5}^{2}$, ${ }M_{1}M_{5}$, ${ }M_{5}M_{7}$, ${ }M_{1}^{2}$, ${ }M_{1}M_{7}$, ${ }M_{7}^{2}$, ${ }\phi_{1}q_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{5}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{7}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\tilde{q}_{1}^{2}\tilde{q}_{2}^{2}$, ${ }M_{5}\phi_{1}^{2}$, ${ }M_{5}\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{4}M_{5}$, ${ }M_{1}\phi_{1}^{2}$, ${ }M_{7}\phi_{1}^{2}$, ${ }M_{1}\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{7}\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{1}M_{4}$, ${ }M_{4}M_{7}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }M_{5}M_{6}$, ${ }\phi_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}^{3}$, ${ }M_{1}M_{6}$, ${ }M_{6}M_{7}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{4}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{6}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{4}$, ${ }M_{5}\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{3}\tilde{q}_{2}^{2}$, ${ }\phi_{1}^{2}\tilde{q}_{2}^{4}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{7}\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{4}\phi_{1}\tilde{q}_{2}^{2}$	${}$	-3	t^2.183 + 2*t^2.237 + t^2.343 + 2*t^2.947 + t^3. + t^3.107 + t^3.71 + t^3.87 + t^4.367 + 2*t^4.42 + 4*t^4.473 + t^4.527 + 3*t^4.58 + 2*t^4.687 + t^5.13 + 5*t^5.183 + t^5.237 + 3*t^5.29 + 3*t^5.343 + t^5.45 + 3*t^5.893 + 3*t^5.947 - 3*t^6. + 3*t^6.053 + t^6.107 + 2*t^6.213 + t^6.55 + t^6.603 + 5*t^6.657 + 5*t^6.71 + 6*t^6.817 + t^6.87 + 4*t^6.923 + t^6.977 + 2*t^7.03 + t^7.313 + 2*t^7.367 + 9*t^7.42 + t^7.473 + 5*t^7.527 + 4*t^7.58 + 3*t^7.633 + 4*t^7.687 + 2*t^7.793 + t^8.077 + 6*t^8.13 + t^8.183 - 4*t^8.237 + 5*t^8.29 - 4*t^8.343 + 3*t^8.397 + 3*t^8.45 + 3*t^8.557 + t^8.733 + 2*t^8.787 + 5*t^8.84 + 9*t^8.893 - 2*t^8.947 - t^4.473/y - t^6.657/y - t^6.71/y + t^7.42/y + t^7.473/y + (2*t^7.527)/y + (2*t^7.58)/y + (2*t^8.13)/y + (5*t^8.183)/y + (3*t^8.237)/y + (4*t^8.29)/y + (3*t^8.343)/y + t^8.45/y - t^8.84/y + t^8.893/y + (3*t^8.947)/y - t^4.473*y - t^6.657*y - t^6.71*y + t^7.42*y + t^7.473*y + 2*t^7.527*y + 2*t^7.58*y + 2*t^8.13*y + 5*t^8.183*y + 3*t^8.237*y + 4*t^8.29*y + 3*t^8.343*y + t^8.45*y - t^8.84*y + t^8.893*y + 3*t^8.947*y	g1^5*t^2.183 + 2*g1*t^2.237 + t^2.343/g1^7 + 2*g1^4*t^2.947 + t^3. + t^3.107/g1^8 + g1^3*t^3.71 + t^3.87/g1^9 + g1^10*t^4.367 + 2*g1^6*t^4.42 + 4*g1^2*t^4.473 + t^4.527/g1^2 + (3*t^4.58)/g1^6 + (2*t^4.687)/g1^14 + g1^9*t^5.13 + 5*g1^5*t^5.183 + g1*t^5.237 + (3*t^5.29)/g1^3 + (3*t^5.343)/g1^7 + t^5.45/g1^15 + 3*g1^8*t^5.893 + 3*g1^4*t^5.947 - 3*t^6. + (3*t^6.053)/g1^4 + t^6.107/g1^8 + (2*t^6.213)/g1^16 + g1^15*t^6.55 + g1^11*t^6.603 + 5*g1^7*t^6.657 + 5*g1^3*t^6.71 + (6*t^6.817)/g1^5 + t^6.87/g1^9 + (4*t^6.923)/g1^13 + t^6.977/g1^17 + (2*t^7.03)/g1^21 + g1^14*t^7.313 + 2*g1^10*t^7.367 + 9*g1^6*t^7.42 + g1^2*t^7.473 + (5*t^7.527)/g1^2 + (4*t^7.58)/g1^6 + (3*t^7.633)/g1^10 + (4*t^7.687)/g1^14 + (2*t^7.793)/g1^22 + g1^13*t^8.077 + 6*g1^9*t^8.13 + g1^5*t^8.183 - 4*g1*t^8.237 + (5*t^8.29)/g1^3 - (4*t^8.343)/g1^7 + (3*t^8.397)/g1^11 + (3*t^8.45)/g1^15 + (3*t^8.557)/g1^23 + g1^20*t^8.733 + 2*g1^16*t^8.787 + 5*g1^12*t^8.84 + 9*g1^8*t^8.893 - 2*g1^4*t^8.947 - (g1^2*t^4.473)/y - (g1^7*t^6.657)/y - (g1^3*t^6.71)/y + (g1^6*t^7.42)/y + (g1^2*t^7.473)/y + (2*t^7.527)/(g1^2*y) + (2*t^7.58)/(g1^6*y) + (2*g1^9*t^8.13)/y + (5*g1^5*t^8.183)/y + (3*g1*t^8.237)/y + (4*t^8.29)/(g1^3*y) + (3*t^8.343)/(g1^7*y) + t^8.45/(g1^15*y) - (g1^12*t^8.84)/y + (g1^8*t^8.893)/y + (3*g1^4*t^8.947)/y - g1^2*t^4.473*y - g1^7*t^6.657*y - g1^3*t^6.71*y + g1^6*t^7.42*y + g1^2*t^7.473*y + (2*t^7.527*y)/g1^2 + (2*t^7.58*y)/g1^6 + 2*g1^9*t^8.13*y + 5*g1^5*t^8.183*y + 3*g1*t^8.237*y + (4*t^8.29*y)/g1^3 + (3*t^8.343*y)/g1^7 + (t^8.45*y)/g1^15 - g1^12*t^8.84*y + g1^8*t^8.893*y + 3*g1^4*t^8.947*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
58824	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{4}^{2}$ + ${ }\phi_{1}q_{2}^{2}$ + ${ }M_{5}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}M_{6}$ + ${ }M_{3}M_{7}$ + ${ }M_{8}\phi_{1}q_{1}\tilde{q}_{2}$	0.6438	0.8455	0.7615	[M:[0.7466, 0.973, 1.2534, 1.0, 0.7331, 1.027, 0.7466, 0.7601], q:[0.5, 0.7534], qb:[0.527, 0.2466], phi:[0.4933]]	t^2.199 + 2*t^2.24 + t^2.28 + t^2.321 + 2*t^2.96 + t^3. + t^3.081 + t^3.841 + t^4.399 + 2*t^4.439 + 5*t^4.48 + 3*t^4.52 + 4*t^4.561 + t^4.601 + 2*t^4.642 + t^5.159 + 5*t^5.199 + 3*t^5.24 + 4*t^5.28 + 3*t^5.321 + t^5.361 + t^5.402 + 2*t^5.919 + t^5.96 - 3*t^6. - t^4.48/y - t^4.48*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
55533	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{4}^{2}$ + ${ }\phi_{1}q_{2}^{2}$ + ${ }M_{5}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}M_{6}$	0.6061	0.7767	0.7804	[M:[0.7459, 0.9669, 1.2541, 1.0, 0.7293, 1.0331], q:[0.5, 0.7541], qb:[0.5331, 0.2459], phi:[0.4917]]	t^2.188 + t^2.238 + t^2.337 + 2*t^2.95 + t^3. + t^3.099 + t^3.713 + t^3.762 + t^3.862 + t^4.376 + t^4.426 + 2*t^4.475 + t^4.525 + 2*t^4.574 + 2*t^4.674 + t^5.138 + 3*t^5.188 + 3*t^5.287 + 2*t^5.337 + t^5.436 + 3*t^5.901 + 3*t^5.95 - 2*t^6. - t^4.475/y - t^4.475*y	detail