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
487	SU2adj1nf2	${}\phi_{1}q_{1}q_{2}$ + ${ }M_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }M_{4}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{4}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}X_{1}$ + ${ }\phi_{1}^{2}X_{2}$ + ${ }M_{4}M_{5}$	0.5731	0.6732	0.8513	[X:[1.6989, 1.3978], M:[0.7527, 0.3011, 0.7527, 0.9032, 1.0968], q:[0.8495, 0.8495], qb:[0.3978, 0.6989], phi:[0.3011]]	[X:[[0, 1], [0, 2]], M:[[1, -3], [0, -1], [-1, -2], [0, -3], [0, 3]], q:[[-1, 1], [1, 0]], qb:[[0, 2], [0, 1]], phi:[[0, -1]]]	2	{a: 26435/46128, c: 15527/23064, X1: 158/93, X2: 130/93, M1: 70/93, M2: 28/93, M3: 70/93, M4: 28/31, M5: 34/31, q1: 79/93, q2: 79/93, qb1: 37/93, qb2: 65/93, phi1: 28/93}

Relevant Operators	Marginal Operators	$n_{marginal}$$-$$|F_{IR}|$	Superconformal Index	Refined index
${}M_{1}$, ${ }M_{3}$, ${ }M_{5}$, ${ }\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }X_{2}$, ${ }M_{1}^{2}$, ${ }M_{1}M_{3}$, ${ }M_{3}^{2}$, ${ }q_{2}\tilde{q}_{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }q_{1}q_{2}$, ${ }X_{1}$, ${ }M_{1}M_{5}$, ${ }M_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{3}M_{5}$, ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$	${}$	-4	2*t^2.258 + 2*t^3.29 + 2*t^4.194 + 3*t^4.516 + 2*t^4.645 + t^5.097 + 2*t^5.548 - 4*t^6. + 3*t^6.581 + 4*t^6.774 + t^6.903 + 3*t^7.484 + 3*t^7.806 + 2*t^7.935 - 6*t^8.258 + t^8.387 + 2*t^8.839 - t^3.903/y - (2*t^6.161)/y + t^7.516/y + (2*t^7.645)/y - (3*t^8.419)/y + (4*t^8.548)/y - t^3.903*y - 2*t^6.161*y + t^7.516*y + 2*t^7.645*y - 3*t^8.419*y + 4*t^8.548*y	(g1*t^2.258)/g2^3 + t^2.258/(g1*g2^2) + 2*g2^3*t^3.29 + 2*g2^2*t^4.194 + (g1^2*t^4.516)/g2^6 + t^4.516/g2^5 + t^4.516/(g1^2*g2^4) + g1*g2*t^4.645 + (g2^2*t^4.645)/g1 + g2*t^5.097 + g1*t^5.548 + (g2*t^5.548)/g1 - 4*t^6. + 3*g2^6*t^6.581 + (g1^3*t^6.774)/g2^9 + (g1*t^6.774)/g2^8 + t^6.774/(g1*g2^7) + t^6.774/(g1^3*g2^6) + t^6.903/g1^2 + (g1^2*t^6.903)/g2^2 - t^6.903/g2 + 3*g2^5*t^7.484 + (g1^2*t^7.806)/g2^3 + t^7.806/g2^2 + t^7.806/(g1^2*g2) + g1*g2^4*t^7.935 + (g2^5*t^7.935)/g1 - (3*g1*t^8.258)/g2^3 - (3*t^8.258)/(g1*g2^2) + g2^4*t^8.387 + g1*g2^3*t^8.839 + (g2^4*t^8.839)/g1 - t^3.903/(g2*y) - (g1*t^6.161)/(g2^4*y) - t^6.161/(g1*g2^3*y) + t^7.516/(g2^5*y) + (g1*g2*t^7.645)/y + (g2^2*t^7.645)/(g1*y) - (g1^2*t^8.419)/(g2^7*y) - t^8.419/(g2^6*y) - t^8.419/(g1^2*g2^5*y) + (2*g1*t^8.548)/y + (2*g2*t^8.548)/(g1*y) - (t^3.903*y)/g2 - (g1*t^6.161*y)/g2^4 - (t^6.161*y)/(g1*g2^3) + (t^7.516*y)/g2^5 + g1*g2*t^7.645*y + (g2^2*t^7.645*y)/g1 - (g1^2*t^8.419*y)/g2^7 - (t^8.419*y)/g2^6 - (t^8.419*y)/(g1^2*g2^5) + 2*g1*t^8.548*y + (2*g2*t^8.548*y)/g1

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
777	${}\phi_{1}q_{1}q_{2}$ + ${ }M_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }M_{4}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{4}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}X_{1}$ + ${ }\phi_{1}^{2}X_{2}$ + ${ }M_{4}M_{5}$ + ${ }M_{1}^{2}$	0.543	0.6484	0.8375	[X:[1.6571, 1.3141], M:[1.0, 0.3429, 0.7147, 1.0288, 0.9712], q:[0.6859, 0.9712], qb:[0.3141, 0.6571], phi:[0.3429]]	t^2.144 + 2*t^2.914 + t^3. + 2*t^3.942 + t^4.029 + t^4.288 + t^4.885 + t^4.971 + t^5.058 + t^5.144 + 3*t^5.827 + t^5.914 - 3*t^6. - t^4.029/y - t^4.029*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
309	SU2adj1nf2	${}\phi_{1}q_{1}q_{2}$ + ${ }M_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }M_{4}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{4}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}X_{1}$ + ${ }\phi_{1}^{2}X_{2}$	0.5838	0.6909	0.845	[X:[1.7137, 1.4275], M:[0.7156, 0.2863, 0.7156, 0.8588], q:[0.8569, 0.8569], qb:[0.4275, 0.7137], phi:[0.2863]]	2*t^2.147 + t^2.576 + t^3.424 + 2*t^4.282 + 3*t^4.294 + 2*t^4.712 + 2*t^4.723 + t^5.141 + t^5.153 - 3*t^6. - t^3.859/y - t^3.859*y	detail