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
55632	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{3}M_{4}$ + ${ }\phi_{1}q_{1}q_{2}$ + ${ }M_{1}X_{1}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ + ${ }M_{3}M_{6}$ + ${ }M_{7}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$	0.6728	0.8544	0.7875	[X:[1.6159], M:[0.3841, 0.6889, 1.1524, 0.8476, 0.7107, 0.8476, 0.7683], q:[0.8764, 0.7395], qb:[0.4347, 0.4129], phi:[0.3841]]	[X:[[0, 1]], M:[[0, -1], [0, -7], [0, -3], [0, 3], [-2, -4], [0, 3], [0, -2]], q:[[1, 4], [-1, -3]], qb:[[-1, 3], [1, 0]], phi:[[0, -1]]]	2

Relevant Operators	Marginal Operators	$n_{marginal}$$-$$|F_{IR}|$	Superconformal Index	Refined index
${}M_{2}$, ${ }M_{5}$, ${ }M_{7}$, ${ }\phi_{1}^{2}$, ${ }M_{4}$, ${ }M_{6}$, ${ }q_{2}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{2}^{2}$, ${ }M_{2}M_{5}$, ${ }M_{5}^{2}$, ${ }M_{2}M_{7}$, ${ }M_{2}\phi_{1}^{2}$, ${ }M_{5}M_{7}$, ${ }M_{5}\phi_{1}^{2}$, ${ }M_{2}M_{4}$, ${ }M_{2}M_{6}$, ${ }M_{7}^{2}$, ${ }M_{7}\phi_{1}^{2}$, ${ }\phi_{1}^{4}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{4}M_{5}$, ${ }M_{5}M_{6}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{4}M_{7}$, ${ }M_{6}M_{7}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{6}\phi_{1}^{2}$, ${ }X_{1}$, ${ }M_{4}^{2}$, ${ }M_{4}M_{6}$, ${ }M_{6}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}^{2}$, ${ }M_{2}q_{2}\tilde{q}_{1}$, ${ }M_{5}q_{2}\tilde{q}_{1}$, ${ }M_{2}\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{7}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$, ${ }M_{2}\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{5}\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{7}\phi_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}^{3}\tilde{q}_{2}^{2}$	${}$	-3	t^2.067 + t^2.132 + 2*t^2.305 + 2*t^2.543 + t^3.523 + t^3.63 + t^3.761 + t^4.133 + t^4.199 + t^4.264 + 2*t^4.371 + 2*t^4.437 + 5*t^4.61 + 2*t^4.675 + 5*t^4.848 + 3*t^5.086 + t^5.589 + t^5.655 + t^5.696 + 2*t^5.827 + t^5.893 + t^5.935 - 3*t^6. + 3*t^6.065 + t^6.173 + t^6.2 - t^6.238 + t^6.266 + 2*t^6.304 + t^6.331 + t^6.397 + 2*t^6.438 + 2*t^6.504 + 2*t^6.569 + 5*t^6.676 + 5*t^6.742 + 2*t^6.807 + 8*t^6.914 + 4*t^6.98 + t^7.045 - t^7.087 + 9*t^7.152 + t^7.218 + t^7.259 + t^7.283 - 2*t^7.325 + 5*t^7.39 - t^7.456 + t^7.521 - t^7.563 + 3*t^7.629 + t^7.656 + t^7.721 + t^7.763 + t^7.787 + 2*t^7.894 + 2*t^7.96 + t^8.001 + t^8.025 - 4*t^8.067 + t^8.132 + 3*t^8.198 + 2*t^8.239 + t^8.267 - 8*t^8.305 + t^8.332 + 4*t^8.37 + t^8.398 + 2*t^8.436 + t^8.463 + 2*t^8.505 + t^8.529 - 10*t^8.543 + 2*t^8.57 + 5*t^8.608 + 2*t^8.636 + 2*t^8.701 + 5*t^8.743 - 3*t^8.781 + 5*t^8.808 + 3*t^8.846 + 5*t^8.874 + 2*t^8.939 + 8*t^8.981 - t^4.152/y - t^6.219/y - t^6.285/y - (2*t^6.457)/y - t^6.695/y + t^7.199/y + (2*t^7.371)/y + (2*t^7.437)/y + (4*t^7.61)/y + (2*t^7.675)/y + (6*t^7.848)/y + t^8.02/y + (2*t^8.086)/y - t^8.286/y - t^8.351/y - t^8.417/y - (2*t^8.524)/y - t^8.589/y + t^8.655/y + t^8.696/y - (3*t^8.762)/y + (2*t^8.827)/y + t^8.893/y + (2*t^8.935)/y - t^4.152*y - t^6.219*y - t^6.285*y - 2*t^6.457*y - t^6.695*y + t^7.199*y + 2*t^7.371*y + 2*t^7.437*y + 4*t^7.61*y + 2*t^7.675*y + 6*t^7.848*y + t^8.02*y + 2*t^8.086*y - t^8.286*y - t^8.351*y - t^8.417*y - 2*t^8.524*y - t^8.589*y + t^8.655*y + t^8.696*y - 3*t^8.762*y + 2*t^8.827*y + t^8.893*y + 2*t^8.935*y	t^2.067/g2^7 + t^2.132/(g1^2*g2^4) + (2*t^2.305)/g2^2 + 2*g2^3*t^2.543 + t^3.523/g1^2 + (g1^2*t^3.63)/g2 + (g2^5*t^3.761)/g1^2 + t^4.133/g2^14 + t^4.199/(g1^2*g2^11) + t^4.264/(g1^4*g2^8) + (2*t^4.371)/g2^9 + (2*t^4.437)/(g1^2*g2^6) + (5*t^4.61)/g2^4 + (2*t^4.675)/(g1^2*g2) + 5*g2*t^4.848 + 3*g2^6*t^5.086 + t^5.589/(g1^2*g2^7) + t^5.655/(g1^4*g2^4) + (g1^2*t^5.696)/g2^8 + (2*t^5.827)/(g1^2*g2^2) + (g2*t^5.893)/g1^4 + (g1^2*t^5.935)/g2^3 - 3*t^6. + (3*g2^3*t^6.065)/g1^2 + g1^2*g2^2*t^6.173 + t^6.2/g2^21 - g2^5*t^6.238 + t^6.266/(g1^2*g2^18) + (2*g2^8*t^6.304)/g1^2 + t^6.331/(g1^4*g2^15) + t^6.397/(g1^6*g2^12) + (2*t^6.438)/g2^16 + (2*t^6.504)/(g1^2*g2^13) + (2*t^6.569)/(g1^4*g2^10) + (5*t^6.676)/g2^11 + (5*t^6.742)/(g1^2*g2^8) + (2*t^6.807)/(g1^4*g2^5) + (8*t^6.914)/g2^6 + (4*t^6.98)/(g1^2*g2^3) + t^7.045/g1^4 - (g1^2*t^7.087)/g2^4 + (9*t^7.152)/g2 + (g2^2*t^7.218)/g1^2 + (g1^4*t^7.259)/g2^2 + (g2^5*t^7.283)/g1^4 - 2*g1^2*g2*t^7.325 + 5*g2^4*t^7.39 - (g2^7*t^7.456)/g1^2 + (g2^10*t^7.521)/g1^4 - g1^2*g2^6*t^7.563 + 3*g2^9*t^7.629 + t^7.656/(g1^2*g2^14) + t^7.721/(g1^4*g2^11) + (g1^2*t^7.763)/g2^15 + t^7.787/(g1^6*g2^8) + (2*t^7.894)/(g1^2*g2^9) + (2*t^7.96)/(g1^4*g2^6) + (g1^2*t^8.001)/g2^10 + t^8.025/(g1^6*g2^3) - (4*t^8.067)/g2^7 + t^8.132/(g1^2*g2^4) + (3*t^8.198)/(g1^4*g2) + (2*g1^2*t^8.239)/g2^5 + t^8.267/g2^28 - (8*t^8.305)/g2^2 + t^8.332/(g1^2*g2^25) + (4*g2*t^8.37)/g1^2 + t^8.398/(g1^4*g2^22) + (2*g2^4*t^8.436)/g1^4 + t^8.463/(g1^6*g2^19) + (2*t^8.505)/g2^23 + t^8.529/(g1^8*g2^16) - 10*g2^3*t^8.543 + (2*t^8.57)/(g1^2*g2^20) + (5*g2^6*t^8.608)/g1^2 + (2*t^8.636)/(g1^4*g2^17) + (2*t^8.701)/(g1^6*g2^14) + (5*t^8.743)/g2^18 - 3*g2^8*t^8.781 + (5*t^8.808)/(g1^2*g2^15) + (3*g2^11*t^8.846)/g1^2 + (5*t^8.874)/(g1^4*g2^12) + (2*t^8.939)/(g1^6*g2^9) + (8*t^8.981)/g2^13 - t^4.152/(g2*y) - t^6.219/(g2^8*y) - t^6.285/(g1^2*g2^5*y) - (2*t^6.457)/(g2^3*y) - (g2^2*t^6.695)/y + t^7.199/(g1^2*g2^11*y) + (2*t^7.371)/(g2^9*y) + (2*t^7.437)/(g1^2*g2^6*y) + (4*t^7.61)/(g2^4*y) + (2*t^7.675)/(g1^2*g2*y) + (6*g2*t^7.848)/y + (g1^2*g2^3*t^8.02)/y + (2*g2^6*t^8.086)/y - t^8.286/(g2^15*y) - t^8.351/(g1^2*g2^12*y) - t^8.417/(g1^4*g2^9*y) - (2*t^8.524)/(g2^10*y) - t^8.589/(g1^2*g2^7*y) + t^8.655/(g1^4*g2^4*y) + (g1^2*t^8.696)/(g2^8*y) - (3*t^8.762)/(g2^5*y) + (2*t^8.827)/(g1^2*g2^2*y) + (g2*t^8.893)/(g1^4*y) + (2*g1^2*t^8.935)/(g2^3*y) - (t^4.152*y)/g2 - (t^6.219*y)/g2^8 - (t^6.285*y)/(g1^2*g2^5) - (2*t^6.457*y)/g2^3 - g2^2*t^6.695*y + (t^7.199*y)/(g1^2*g2^11) + (2*t^7.371*y)/g2^9 + (2*t^7.437*y)/(g1^2*g2^6) + (4*t^7.61*y)/g2^4 + (2*t^7.675*y)/(g1^2*g2) + 6*g2*t^7.848*y + g1^2*g2^3*t^8.02*y + 2*g2^6*t^8.086*y - (t^8.286*y)/g2^15 - (t^8.351*y)/(g1^2*g2^12) - (t^8.417*y)/(g1^4*g2^9) - (2*t^8.524*y)/g2^10 - (t^8.589*y)/(g1^2*g2^7) + (t^8.655*y)/(g1^4*g2^4) + (g1^2*t^8.696*y)/g2^8 - (3*t^8.762*y)/g2^5 + (2*t^8.827*y)/(g1^2*g2^2) + (g2*t^8.893*y)/g1^4 + (2*g1^2*t^8.935*y)/g2^3

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
57366	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{3}M_{4}$ + ${ }\phi_{1}q_{1}q_{2}$ + ${ }M_{1}X_{1}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ + ${ }M_{3}M_{6}$ + ${ }M_{7}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{8}\phi_{1}\tilde{q}_{1}^{2}$	0.6925	0.8913	0.777	[X:[1.618], M:[0.382, 0.6738, 1.1459, 0.8541, 0.7189, 0.8541, 0.7639, 0.7189], q:[0.8766, 0.7414], qb:[0.4496, 0.4045], phi:[0.382]]	t^2.021 + 2*t^2.157 + 2*t^2.292 + 2*t^2.562 + 2*t^3.573 + t^4.043 + 2*t^4.178 + 5*t^4.313 + 4*t^4.448 + 5*t^4.584 + 4*t^4.719 + 5*t^4.854 + 3*t^5.124 + 2*t^5.594 + 3*t^5.73 + 2*t^5.865 - 3*t^6. - t^4.146/y - t^4.146*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
47265	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{3}M_{4}$ + ${ }\phi_{1}q_{1}q_{2}$ + ${ }M_{1}X_{1}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ + ${ }M_{3}M_{6}$	0.6546	0.8215	0.7969	[X:[1.6145], M:[0.3855, 0.6986, 1.1566, 0.8434, 0.7153, 0.8434], q:[0.8713, 0.7432], qb:[0.4301, 0.4134], phi:[0.3855]]	t^2.096 + t^2.146 + t^2.313 + 2*t^2.53 + t^3.52 + t^3.637 + t^3.687 + t^3.737 + t^4.192 + t^4.242 + t^4.292 + t^4.409 + t^4.459 + 3*t^4.626 + 2*t^4.676 + 3*t^4.843 + 3*t^5.061 + t^5.616 + t^5.666 + t^5.733 + t^5.783 + 2*t^5.833 + t^5.883 - 2*t^6. - t^4.157/y - t^4.157*y	detail