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
1903	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{2}M_{3}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}q_{2}^{2}\tilde{q}_{2}^{2}$ + ${ }M_{5}q_{1}\tilde{q}_{1}$	0.6324	0.8242	0.7672	[M:[0.9651, 1.1046, 0.8954, 0.7413, 0.811], q:[0.7413, 0.2936], qb:[0.4477, 0.4477], phi:[0.5174]]	[M:[[4], [-12], [12], [1], [-7]], q:[[1], [-5]], qb:[[6], [6]], phi:[[-2]]]	1

Relevant Operators	Marginal Operators	$n_{marginal}$$-$$|F_{IR}|$	Superconformal Index	Refined index
${}M_{4}$, ${ }q_{2}\tilde{q}_{1}$, ${ }q_{2}\tilde{q}_{2}$, ${ }M_{5}$, ${ }M_{3}$, ${ }M_{1}$, ${ }\phi_{1}^{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{4}^{2}$, ${ }M_{4}q_{2}\tilde{q}_{1}$, ${ }q_{2}^{2}\tilde{q}_{1}^{2}$, ${ }M_{4}q_{2}\tilde{q}_{2}$, ${ }q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{2}^{2}\tilde{q}_{2}^{2}$, ${ }M_{4}M_{5}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }M_{5}q_{2}\tilde{q}_{1}$, ${ }M_{5}q_{2}\tilde{q}_{2}$, ${ }M_{5}^{2}$, ${ }M_{3}M_{4}$, ${ }M_{3}q_{2}\tilde{q}_{1}$, ${ }M_{3}q_{2}\tilde{q}_{2}$, ${ }M_{1}M_{4}$, ${ }M_{3}M_{5}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{1}M_{5}$, ${ }M_{4}\phi_{1}^{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$, ${ }M_{3}^{2}$, ${ }M_{5}\phi_{1}^{2}$, ${ }M_{4}\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{2}^{3}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}^{3}\tilde{q}_{2}$, ${ }M_{1}M_{3}$, ${ }M_{5}\phi_{1}q_{2}^{2}$, ${ }M_{1}^{2}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{4}q_{1}\tilde{q}_{2}$, ${ }q_{1}q_{2}\tilde{q}_{2}^{2}$	${}M_{3}\phi_{1}q_{2}^{2}$, ${ }M_{5}q_{1}\tilde{q}_{2}$, ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{2}$	0	3*t^2.224 + t^2.433 + t^2.686 + t^2.895 + t^3.105 + t^3.314 + t^3.567 + t^3.776 + 3*t^4.239 + 6*t^4.448 + 3*t^4.657 + t^4.866 + 3*t^4.91 + 4*t^5.119 + 4*t^5.328 + t^5.372 + 2*t^5.538 + t^5.582 + t^5.747 + 4*t^5.791 + t^6.209 + t^6.253 + t^6.418 + 7*t^6.462 + t^6.628 + 11*t^6.672 + 4*t^6.881 + 3*t^6.925 + 2*t^7.09 + 7*t^7.134 + t^7.299 + 8*t^7.343 + 6*t^7.552 + 3*t^7.596 + 4*t^7.761 + 5*t^7.805 + 2*t^7.971 + 7*t^8.015 + t^8.059 + t^8.18 - 4*t^8.224 + t^8.268 - 2*t^8.433 + 9*t^8.477 + 2*t^8.642 + 9*t^8.686 + 2*t^8.851 + 11*t^8.895 + t^8.939 - t^4.552/y - t^6.776/y - t^6.985/y + (3*t^7.448)/y + (3*t^7.657)/y + (3*t^7.91)/y + (5*t^8.119)/y + (5*t^8.328)/y + (4*t^8.538)/y + t^8.582/y + t^8.747/y + (4*t^8.791)/y - t^4.552*y - t^6.776*y - t^6.985*y + 3*t^7.448*y + 3*t^7.657*y + 3*t^7.91*y + 5*t^8.119*y + 5*t^8.328*y + 4*t^8.538*y + t^8.582*y + t^8.747*y + 4*t^8.791*y	3*g1*t^2.224 + t^2.433/g1^7 + g1^12*t^2.686 + g1^4*t^2.895 + t^3.105/g1^4 + t^3.314/g1^12 + g1^7*t^3.567 + t^3.776/g1 + 3*g1^10*t^4.239 + 6*g1^2*t^4.448 + (3*t^4.657)/g1^6 + t^4.866/g1^14 + 3*g1^13*t^4.91 + 4*g1^5*t^5.119 + (4*t^5.328)/g1^3 + g1^24*t^5.372 + (2*t^5.538)/g1^11 + g1^16*t^5.582 + t^5.747/g1^19 + 4*g1^8*t^5.791 + t^6.209/g1^8 + g1^19*t^6.253 + t^6.418/g1^16 + 7*g1^11*t^6.462 + t^6.628/g1^24 + 11*g1^3*t^6.672 + (4*t^6.881)/g1^5 + 3*g1^22*t^6.925 + (2*t^7.09)/g1^13 + 7*g1^14*t^7.134 + t^7.299/g1^21 + 8*g1^6*t^7.343 + (6*t^7.552)/g1^2 + 3*g1^25*t^7.596 + (4*t^7.761)/g1^10 + 5*g1^17*t^7.805 + (2*t^7.971)/g1^18 + 7*g1^9*t^8.015 + g1^36*t^8.059 + t^8.18/g1^26 - 4*g1*t^8.224 + g1^28*t^8.268 - (2*t^8.433)/g1^7 + 9*g1^20*t^8.477 + (2*t^8.642)/g1^15 + 9*g1^12*t^8.686 + (2*t^8.851)/g1^23 + 11*g1^4*t^8.895 + g1^31*t^8.939 - t^4.552/(g1^2*y) - t^6.776/(g1*y) - t^6.985/(g1^9*y) + (3*g1^2*t^7.448)/y + (3*t^7.657)/(g1^6*y) + (3*g1^13*t^7.91)/y + (5*g1^5*t^8.119)/y + (5*t^8.328)/(g1^3*y) + (4*t^8.538)/(g1^11*y) + (g1^16*t^8.582)/y + t^8.747/(g1^19*y) + (4*g1^8*t^8.791)/y - (t^4.552*y)/g1^2 - (t^6.776*y)/g1 - (t^6.985*y)/g1^9 + 3*g1^2*t^7.448*y + (3*t^7.657*y)/g1^6 + 3*g1^13*t^7.91*y + 5*g1^5*t^8.119*y + (5*t^8.328*y)/g1^3 + (4*t^8.538*y)/g1^11 + g1^16*t^8.582*y + (t^8.747*y)/g1^19 + 4*g1^8*t^8.791*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
2931	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{2}M_{3}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}q_{2}^{2}\tilde{q}_{2}^{2}$ + ${ }M_{5}q_{1}\tilde{q}_{1}$ + ${ }M_{5}\phi_{1}q_{2}^{2}$	0.6302	0.8243	0.7645	[M:[0.9474, 1.1579, 0.8421, 0.7368, 0.8421], q:[0.7368, 0.3158], qb:[0.4211, 0.4211], phi:[0.5263]]	3*t^2.211 + 2*t^2.526 + t^2.842 + t^3.158 + 2*t^3.474 + t^3.789 + 3*t^4.105 + 6*t^4.421 + 6*t^4.737 + 6*t^5.053 + 5*t^5.368 + 6*t^5.684 + 2*t^6. - t^4.579/y - t^4.579*y	detail	{a: 69159/109744, c: 45229/54872, M1: 18/19, M2: 22/19, M3: 16/19, M4: 14/19, M5: 16/19, q1: 14/19, q2: 6/19, qb1: 8/19, qb2: 8/19, phi1: 10/19}
2932	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{2}M_{3}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}q_{2}^{2}\tilde{q}_{2}^{2}$ + ${ }M_{5}q_{1}\tilde{q}_{1}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$	0.6486	0.8522	0.7611	[M:[0.9726, 1.0821, 0.9179, 0.7432, 0.7979, 0.7979], q:[0.7432, 0.2842], qb:[0.459, 0.459], phi:[0.5137]]	3*t^2.229 + 2*t^2.394 + t^2.754 + t^2.918 + t^3.082 + t^3.246 + t^3.771 + 3*t^4.295 + 6*t^4.459 + 6*t^4.623 + 3*t^4.787 + 3*t^4.983 + 5*t^5.147 + 5*t^5.312 + 3*t^5.476 + t^5.508 + 2*t^5.64 + t^5.672 + t^5.836 - t^6. - t^4.541/y - t^4.541*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
557	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{2}M_{3}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}q_{2}^{2}\tilde{q}_{2}^{2}$	0.617	0.7991	0.7722	[M:[0.9565, 1.1304, 0.8696, 0.7391], q:[0.7391, 0.3043], qb:[0.4348, 0.4348], phi:[0.5217]]	3*t^2.217 + t^2.609 + t^2.87 + t^3.13 + t^3.391 + 2*t^3.522 + t^3.783 + 3*t^4.174 + 6*t^4.435 + 3*t^4.826 + 3*t^5.087 + t^5.218 + 3*t^5.348 + t^5.478 + t^5.609 + 7*t^5.739 - t^6. - t^4.565/y - t^4.565*y	detail