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
57464	SU3adj1nf2	${}M_{1}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}q_{2}\tilde{q}_{2}$	1.1163	1.237	0.9024	[X:[1.5391], M:[1.1523, 0.6825], q:[0.4224, 0.8922], qb:[0.4253, 0.8773], phi:[0.2305]]	[X:[[0, 0, 2]], M:[[0, 0, -5], [-1, 1, -1]], q:[[-1, 0, 5], [0, -1, 1]], qb:[[1, 0, 0], [0, 1, 0]], phi:[[0, 0, -1]]]	3

Relevant Operators	Marginal Operators	$n_{marginal}$$-$$|F_{IR}|$	Superconformal Index	Refined index
${}M_{2}$, ${ }\phi_{1}^{3}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{1}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{1}$, ${ }M_{2}^{2}$, ${ }M_{2}\phi_{1}^{3}$, ${ }\phi_{1}^{6}$, ${ }X_{1}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{4}q_{1}\tilde{q}_{1}$, ${ }q_{2}\tilde{q}_{2}$, ${ }M_{1}M_{2}$, ${ }M_{1}\phi_{1}^{3}$, ${ }\phi_{1}\tilde{q}_{1}^{2}\tilde{q}_{2}$, ${ }\phi_{1}^{3}q_{1}^{3}$, ${ }\phi_{1}^{3}\tilde{q}_{1}^{3}$, ${ }\phi_{1}q_{1}^{2}q_{2}$, ${ }M_{2}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{3}q_{1}\tilde{q}_{2}$	${}\phi_{1}^{5}q_{1}\tilde{q}_{1}$	-2	t^2.05 + t^2.07 + t^3.23 + t^3.46 + t^3.9 + t^3.93 + t^4.09 + t^4.12 + t^4.15 + t^4.62 + t^5.28 + 2*t^5.31 + t^5.5 + t^5.53 + 2*t^5.88 + 2*t^5.9 + t^5.95 + t^5.97 - 2*t^6. - t^6.03 + t^6.14 + t^6.17 + t^6.2 + t^6.22 + t^6.47 + t^6.66 + t^6.69 + t^6.91 + t^7.13 + t^7.16 + t^7.33 + 2*t^7.36 + 2*t^7.38 - t^7.41 + t^7.55 + t^7.58 + t^7.61 + t^7.8 + t^7.82 + t^7.85 + 2*t^7.92 + 2*t^7.95 + t^7.99 + t^8.02 - 2*t^8.05 - t^8.1 + t^8.19 + t^8.22 + t^8.24 + t^8.27 + t^8.3 + 2*t^8.52 + 2*t^8.54 - 2*t^8.64 - 2*t^8.67 + t^8.71 - t^8.74 + t^8.77 + t^8.96 + t^8.99 + t^8.07/y^2 - t^8.74/y^2 - t^8.77/y^2 - t^3.69/y - t^4.38/y - t^5.74/y - t^5.77/y - t^6.43/y - t^6.46/y + t^7.12/y - t^7.15/y - t^7.59/y - t^7.62/y - t^7.79/y - t^7.81/y - (2*t^7.84)/y + t^8.28/y + t^8.31/y + t^8.34/y - t^8.48/y + t^8.95/y + (2*t^8.97)/y - t^3.69*y - t^4.38*y - t^5.74*y - t^5.77*y - t^6.43*y - t^6.46*y + t^7.12*y - t^7.15*y - t^7.59*y - t^7.62*y - t^7.79*y - t^7.81*y - 2*t^7.84*y + t^8.28*y + t^8.31*y + t^8.34*y - t^8.48*y + t^8.95*y + 2*t^8.97*y + t^8.07*y^2 - t^8.74*y^2 - t^8.77*y^2	(g2*t^2.05)/(g1*g3) + t^2.07/g3^3 + g3^4*t^3.23 + t^3.46/g3^5 + (g2*g3^5*t^3.9)/g1 + g3^3*t^3.93 + (g2^2*t^4.09)/(g1^2*g3^2) + (g2*t^4.12)/(g1*g3^4) + t^4.15/g3^6 + g3^2*t^4.62 + (g2*g3^3*t^5.28)/g1 + 2*g3*t^5.31 + (g2*t^5.5)/(g1*g3^6) + t^5.53/g3^8 + (g1^2*g2*t^5.88)/g3 + (g3^12*t^5.88)/g1^3 + (g1^3*t^5.9)/g3^3 + (g3^10*t^5.9)/(g1^2*g2) + (g2^2*g3^4*t^5.95)/g1^2 + (g2*g3^2*t^5.97)/g1 - 2*t^6. - (g1*t^6.03)/(g2*g3^2) + (g2^3*t^6.14)/(g1^3*g3^3) + (g2^2*t^6.17)/(g1^2*g3^5) + (g2*t^6.2)/(g1*g3^7) + t^6.22/g3^9 + g3^8*t^6.47 + (g2*g3*t^6.66)/g1 + t^6.69/g3 + t^6.91/g3^10 + (g2*g3^9*t^7.13)/g1 + g3^7*t^7.16 + (g2^2*g3^2*t^7.33)/g1^2 + (2*g2*t^7.36)/g1 + (2*t^7.38)/g3^2 - (g1*t^7.41)/(g2*g3^4) + (g2^2*t^7.55)/(g1^2*g3^7) + (g2*t^7.58)/(g1*g3^9) + t^7.61/g3^11 + (g2^2*g3^10*t^7.8)/g1^2 + (g2*g3^8*t^7.82)/g1 + g3^6*t^7.85 + (g1*g2^2*t^7.92)/g3^2 + (g2*g3^11*t^7.92)/g1^4 + (g1^2*g2*t^7.95)/g3^4 + (g3^9*t^7.95)/g1^3 + (g2^3*g3^3*t^7.99)/g1^3 + (g2^2*g3*t^8.02)/g1^2 - (2*g2*t^8.05)/(g1*g3) - (g1*t^8.1)/(g2*g3^5) + (g2^4*t^8.19)/(g1^4*g3^4) + (g2^3*t^8.22)/(g1^3*g3^6) + (g2^2*t^8.24)/(g1^2*g3^8) + (g2*t^8.27)/(g1*g3^10) + t^8.3/g3^12 + (2*g2*g3^7*t^8.52)/g1 + 2*g3^5*t^8.54 - (g1^2*g2*t^8.64)/g3^5 - (g3^8*t^8.64)/g1^3 - (g1^3*t^8.67)/g3^7 - (g3^6*t^8.67)/(g1^2*g2) + (g2^2*t^8.71)/g1^2 - (g2*t^8.74)/(g1*g3^2) + t^8.77/g3^4 + (g2*t^8.96)/(g1*g3^11) + t^8.99/g3^13 + t^8.07/(g3^3*y^2) - (g2*t^8.74)/(g1*g3^2*y^2) - t^8.77/(g3^4*y^2) - t^3.69/(g3*y) - t^4.38/(g3^2*y) - (g2*t^5.74)/(g1*g3^2*y) - t^5.77/(g3^4*y) - (g2*t^6.43)/(g1*g3^3*y) - t^6.46/(g3^5*y) + (g2*t^7.12)/(g1*g3^4*y) - t^7.15/(g3^6*y) - (g2*g3^4*t^7.59)/(g1*y) - (g3^2*t^7.62)/y - (g2^2*t^7.79)/(g1^2*g3^3*y) - (g2*t^7.81)/(g1*g3^5*y) - (2*t^7.84)/(g3^7*y) + (g2*g3^3*t^8.28)/(g1*y) + (g3*t^8.31)/y + (g1*t^8.34)/(g2*g3*y) - (g2^2*t^8.48)/(g1^2*g3^4*y) + (g2^2*g3^4*t^8.95)/(g1^2*y) + (2*g2*g3^2*t^8.97)/(g1*y) - (t^3.69*y)/g3 - (t^4.38*y)/g3^2 - (g2*t^5.74*y)/(g1*g3^2) - (t^5.77*y)/g3^4 - (g2*t^6.43*y)/(g1*g3^3) - (t^6.46*y)/g3^5 + (g2*t^7.12*y)/(g1*g3^4) - (t^7.15*y)/g3^6 - (g2*g3^4*t^7.59*y)/g1 - g3^2*t^7.62*y - (g2^2*t^7.79*y)/(g1^2*g3^3) - (g2*t^7.81*y)/(g1*g3^5) - (2*t^7.84*y)/g3^7 + (g2*g3^3*t^8.28*y)/g1 + g3*t^8.31*y + (g1*t^8.34*y)/(g2*g3) - (g2^2*t^8.48*y)/(g1^2*g3^4) + (g2^2*g3^4*t^8.95*y)/g1^2 + (2*g2*g3^2*t^8.97*y)/g1 + (t^8.07*y^2)/g3^3 - (g2*t^8.74*y^2)/(g1*g3^2) - (t^8.77*y^2)/g3^4

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
58615	${}M_{1}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\phi_{1}^{2}q_{1}\tilde{q}_{1}$	1.137	1.2769	0.8905	[X:[1.5409], M:[1.1478, 0.6807, 0.6887], q:[0.4248, 0.8919], qb:[0.4274, 0.8786], phi:[0.2296]]	t^2.04 + 2*t^2.07 + t^3.25 + t^3.44 + t^3.91 + t^4.08 + 2*t^4.11 + 3*t^4.13 + t^4.62 + t^5.29 + 3*t^5.31 + t^5.49 + 2*t^5.51 + 2*t^5.89 + 2*t^5.91 + t^5.95 + t^5.98 - 3*t^6. - t^3.69/y - t^4.38/y - t^5.73/y - (2*t^5.75)/y - t^3.69*y - t^4.38*y - t^5.73*y - 2*t^5.75*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
47913	SU3adj1nf2	${}M_{1}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{1}$	1.4595	1.6464	0.8865	[X:[1.3609], M:[0.922, 0.922], q:[0.52, 0.52], qb:[0.558, 0.4848], phi:[0.3195]]	2*t^2.766 + t^2.876 + 2*t^3.015 + 2*t^3.973 + t^4.083 + 2*t^4.193 + 2*t^4.932 + 2*t^5.151 + 3*t^5.532 + t^5.542 + 2*t^5.639 + 2*t^5.642 + t^5.751 + t^5.761 + 3*t^5.781 + 2*t^5.89 - 6*t^6. - t^3.959/y - t^4.917/y - t^3.959*y - t^4.917*y	detail