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
568	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{2}M_{3}$ + ${ }\phi_{1}^{4}$ + ${ }M_{4}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{5}\phi_{1}\tilde{q}_{2}^{2}$	0.6855	0.8928	0.7678	[M:[0.8171, 1.1829, 0.8171, 0.6829, 0.6829], q:[0.75, 0.4329], qb:[0.4085, 0.4085], phi:[0.5]]	[M:[[1, 1], [-1, -1], [1, 1], [-2, 0], [0, -2]], q:[[0, 0], [-1, -1]], qb:[[1, 0], [0, 1]], phi:[[0, 0]]]	2

Relevant Operators	Marginal Operators	$n_{marginal}$$-$$|F_{IR}|$	Superconformal Index	Refined index
${}M_{4}$, ${ }M_{5}$, ${ }M_{1}$, ${ }M_{3}$, ${ }q_{2}\tilde{q}_{2}$, ${ }q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{2}$, ${ }q_{1}\tilde{q}_{1}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{4}^{2}$, ${ }M_{5}^{2}$, ${ }M_{4}M_{5}$, ${ }\phi_{1}q_{2}^{2}$, ${ }M_{1}M_{5}$, ${ }M_{3}M_{5}$, ${ }M_{1}M_{4}$, ${ }M_{3}M_{4}$, ${ }M_{4}q_{2}\tilde{q}_{2}$, ${ }M_{5}q_{2}\tilde{q}_{1}$, ${ }M_{5}q_{2}\tilde{q}_{2}$, ${ }M_{4}q_{2}\tilde{q}_{1}$, ${ }M_{1}^{2}$, ${ }M_{1}M_{3}$, ${ }M_{3}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{3}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{3}q_{2}\tilde{q}_{2}$, ${ }M_{4}\phi_{1}^{2}$, ${ }q_{2}^{2}\tilde{q}_{2}^{2}$, ${ }M_{5}\phi_{1}^{2}$, ${ }q_{2}^{2}\tilde{q}_{1}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{1}\phi_{1}^{2}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{4}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$, ${ }M_{5}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$, ${ }M_{5}q_{1}\tilde{q}_{2}$, ${ }M_{4}q_{1}\tilde{q}_{2}$, ${ }M_{3}q_{1}\tilde{q}_{1}$, ${ }M_{3}q_{1}\tilde{q}_{2}$	${}q_{1}q_{2}\tilde{q}_{1}^{2}$, ${ }M_{4}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{5}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{1}q_{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{1}q_{2}\tilde{q}_{2}^{2}$	1	2*t^2.049 + 2*t^2.451 + 2*t^2.524 + t^3. + 2*t^3.476 + t^3.951 + 2*t^4.024 + 4*t^4.098 + 4*t^4.5 + 4*t^4.573 + 3*t^4.902 + 4*t^4.976 + 5*t^5.049 + 2*t^5.451 + 6*t^5.524 + 2*t^5.927 + t^6. + 2*t^6.073 + 6*t^6.146 + 2*t^6.402 + 4*t^6.476 + 10*t^6.549 + 8*t^6.622 + 6*t^6.951 + 6*t^7.024 + 9*t^7.098 + 4*t^7.354 + 4*t^7.427 + 6*t^7.5 + 12*t^7.573 + 3*t^7.902 + 6*t^7.976 + 4*t^8.049 + 4*t^8.122 + 9*t^8.195 + 2*t^8.378 - 2*t^8.451 + 12*t^8.598 + 12*t^8.671 + 3*t^8.854 + 4*t^8.927 - t^4.5/y - (2*t^6.549)/y - t^6.951/y + t^7.098/y + (4*t^7.5)/y + (4*t^7.573)/y + t^7.902/y + (4*t^7.976)/y + (4*t^8.049)/y + (4*t^8.451)/y + (6*t^8.524)/y - (3*t^8.598)/y + (4*t^8.927)/y - t^4.5*y - 2*t^6.549*y - t^6.951*y + t^7.098*y + 4*t^7.5*y + 4*t^7.573*y + t^7.902*y + 4*t^7.976*y + 4*t^8.049*y + 4*t^8.451*y + 6*t^8.524*y - 3*t^8.598*y + 4*t^8.927*y	t^2.049/g1^2 + t^2.049/g2^2 + 2*g1*g2*t^2.451 + t^2.524/g1 + t^2.524/g2 + t^3. + g1*t^3.476 + g2*t^3.476 + g1*g2*t^3.951 + t^4.024/g1 + t^4.024/g2 + t^4.098/g1^4 + t^4.098/g2^4 + (2*t^4.098)/(g1^2*g2^2) + (2*g1*t^4.5)/g2 + (2*g2*t^4.5)/g1 + t^4.573/g1^3 + t^4.573/g2^3 + t^4.573/(g1*g2^2) + t^4.573/(g1^2*g2) + 3*g1^2*g2^2*t^4.902 + 2*g1*t^4.976 + 2*g2*t^4.976 + (2*t^5.049)/g1^2 + (2*t^5.049)/g2^2 + t^5.049/(g1*g2) + 2*g1*g2*t^5.451 + (2*t^5.524)/g1 + (g1*t^5.524)/g2^2 + (2*t^5.524)/g2 + (g2*t^5.524)/g1^2 + g1^2*g2*t^5.927 + g1*g2^2*t^5.927 - t^6. + (g1*t^6.)/g2 + (g2*t^6.)/g1 + t^6.073/g1^3 + t^6.073/g2^3 + t^6.146/g1^6 + t^6.146/g2^6 + (2*t^6.146)/(g1^2*g2^4) + (2*t^6.146)/(g1^4*g2^2) + 2*g1^2*g2^2*t^6.402 + 2*g1*t^6.476 + 2*g2*t^6.476 + t^6.549/g1^2 + (2*g1*t^6.549)/g2^3 + t^6.549/g2^2 + (4*t^6.549)/(g1*g2) + (2*g2*t^6.549)/g1^3 + t^6.622/g1^5 + t^6.622/g2^5 + t^6.622/(g1*g2^4) + (2*t^6.622)/(g1^2*g2^3) + (2*t^6.622)/(g1^3*g2^2) + t^6.622/(g1^4*g2) + 3*g1^2*t^6.951 + 3*g2^2*t^6.951 + t^7.024/g1 + (2*g1*t^7.024)/g2^2 + t^7.024/g2 + (2*g2*t^7.024)/g1^2 + (2*t^7.098)/g1^4 + (2*t^7.098)/g2^4 + t^7.098/(g1*g2^3) + (3*t^7.098)/(g1^2*g2^2) + t^7.098/(g1^3*g2) + 4*g1^3*g2^3*t^7.354 + 2*g1^2*g2*t^7.427 + 2*g1*g2^2*t^7.427 + (3*g1*t^7.5)/g2 + (3*g2*t^7.5)/g1 + (3*t^7.573)/g1^3 + (g1*t^7.573)/g2^4 + (3*t^7.573)/g2^3 + (2*t^7.573)/(g1*g2^2) + (2*t^7.573)/(g1^2*g2) + (g2*t^7.573)/g1^4 + 3*g1^2*g2^2*t^7.902 + 2*g1*t^7.976 + (g1^2*t^7.976)/g2 + 2*g2*t^7.976 + (g2^2*t^7.976)/g1 + (g1*t^8.049)/g2^3 + (2*t^8.049)/(g1*g2) + (g2*t^8.049)/g1^3 + t^8.122/g1^5 + t^8.122/g2^5 + t^8.122/(g1^2*g2^3) + t^8.122/(g1^3*g2^2) + t^8.195/g1^8 + t^8.195/g2^8 + (2*t^8.195)/(g1^2*g2^6) + (3*t^8.195)/(g1^4*g2^4) + (2*t^8.195)/(g1^6*g2^2) + g1^3*g2^2*t^8.378 + g1^2*g2^3*t^8.378 + g1^2*t^8.451 - 4*g1*g2*t^8.451 + g2^2*t^8.451 - (2*t^8.524)/g1 + (2*g1*t^8.524)/g2^2 - (2*t^8.524)/g2 + (2*g2*t^8.524)/g1^2 + t^8.598/g1^4 + (2*g1*t^8.598)/g2^5 + t^8.598/g2^4 + (3*t^8.598)/(g1*g2^3) + (3*t^8.598)/(g1^3*g2) + (2*g2*t^8.598)/g1^5 + t^8.671/g1^7 + t^8.671/g2^7 + t^8.671/(g1*g2^6) + (2*t^8.671)/(g1^2*g2^5) + (2*t^8.671)/(g1^3*g2^4) + (2*t^8.671)/(g1^4*g2^3) + (2*t^8.671)/(g1^5*g2^2) + t^8.671/(g1^6*g2) + 3*g1^3*g2^3*t^8.854 + 2*g1^2*g2*t^8.927 + 2*g1*g2^2*t^8.927 - t^4.5/y - t^6.549/(g1^2*y) - t^6.549/(g2^2*y) - (g1*g2*t^6.951)/y + t^7.098/(g1^2*g2^2*y) + (2*g1*t^7.5)/(g2*y) + (2*g2*t^7.5)/(g1*y) + t^7.573/(g1^3*y) + t^7.573/(g2^3*y) + t^7.573/(g1*g2^2*y) + t^7.573/(g1^2*g2*y) + (g1^2*g2^2*t^7.902)/y + (2*g1*t^7.976)/y + (2*g2*t^7.976)/y + t^8.049/(g1^2*y) + t^8.049/(g2^2*y) + (2*t^8.049)/(g1*g2*y) + (g1^2*t^8.451)/y + (2*g1*g2*t^8.451)/y + (g2^2*t^8.451)/y + (2*t^8.524)/(g1*y) + (g1*t^8.524)/(g2^2*y) + (2*t^8.524)/(g2*y) + (g2*t^8.524)/(g1^2*y) - t^8.598/(g1^4*y) - t^8.598/(g2^4*y) - t^8.598/(g1^2*g2^2*y) + (2*g1^2*g2*t^8.927)/y + (2*g1*g2^2*t^8.927)/y - t^4.5*y - (t^6.549*y)/g1^2 - (t^6.549*y)/g2^2 - g1*g2*t^6.951*y + (t^7.098*y)/(g1^2*g2^2) + (2*g1*t^7.5*y)/g2 + (2*g2*t^7.5*y)/g1 + (t^7.573*y)/g1^3 + (t^7.573*y)/g2^3 + (t^7.573*y)/(g1*g2^2) + (t^7.573*y)/(g1^2*g2) + g1^2*g2^2*t^7.902*y + 2*g1*t^7.976*y + 2*g2*t^7.976*y + (t^8.049*y)/g1^2 + (t^8.049*y)/g2^2 + (2*t^8.049*y)/(g1*g2) + g1^2*t^8.451*y + 2*g1*g2*t^8.451*y + g2^2*t^8.451*y + (2*t^8.524*y)/g1 + (g1*t^8.524*y)/g2^2 + (2*t^8.524*y)/g2 + (g2*t^8.524*y)/g1^2 - (t^8.598*y)/g1^4 - (t^8.598*y)/g2^4 - (t^8.598*y)/(g1^2*g2^2) + 2*g1^2*g2*t^8.927*y + 2*g1*g2^2*t^8.927*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
884	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{2}M_{3}$ + ${ }\phi_{1}^{4}$ + ${ }M_{4}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{5}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{6}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$	0.7062	0.9336	0.7565	[M:[0.8189, 1.1811, 0.8189, 0.6811, 0.6811, 0.6811], q:[0.75, 0.4311], qb:[0.4095, 0.4095], phi:[0.5]]	3*t^2.043 + 2*t^2.457 + 2*t^2.522 + t^3. + 2*t^3.478 + 2*t^4.022 + 7*t^4.086 + 6*t^4.5 + 6*t^4.565 + 3*t^4.914 + 4*t^4.978 + 6*t^5.043 + 2*t^5.457 + 8*t^5.522 + 2*t^5.935 - t^6. - t^4.5/y - t^4.5*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
358	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{2}M_{3}$ + ${ }\phi_{1}^{4}$ + ${ }M_{4}\phi_{1}\tilde{q}_{1}^{2}$	0.6648	0.8527	0.7796	[M:[0.8137, 1.1863, 0.8137, 0.6793], q:[0.75, 0.4363], qb:[0.4103, 0.4034], phi:[0.5]]	t^2.038 + 2*t^2.441 + t^2.519 + t^2.54 + t^3. + t^3.46 + t^3.481 + t^3.92 + t^3.941 + t^4.019 + t^4.04 + t^4.076 + t^4.118 + 2*t^4.479 + t^4.557 + t^4.578 + 3*t^4.882 + 2*t^4.96 + 2*t^4.981 + 2*t^5.038 + t^5.059 + t^5.08 + 2*t^5.441 + t^5.498 + 2*t^5.519 + t^5.54 + t^5.901 + t^5.922 + t^5.958 + t^5.979 - t^6. - t^4.5/y - t^4.5*y	detail