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 =

Search for theories with rational R-charges and central 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
3317	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{2}M_{3}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{4}q_{1}\tilde{q}_{2}$ + ${ }M_{5}q_{1}\tilde{q}_{1}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$	0.6357	0.8295	0.7663	[M:[0.9662, 1.1015, 0.8985, 0.7754, 0.843, 0.8985], q:[0.7415, 0.2923], qb:[0.4154, 0.4831], phi:[0.5169]]	[M:[[4], [-12], [12], [-3], [-11], [12]], q:[[1], [-5]], qb:[[10], [2]], phi:[[-2]]]	1

Relevant Operators	Marginal Operators	$n_{marginal}$$-$$|F_{IR}|$	Superconformal Index	Refined index
${}q_{2}\tilde{q}_{1}$, ${ }M_{4}$, ${ }q_{2}\tilde{q}_{2}$, ${ }M_{5}$, ${ }M_{3}$, ${ }M_{6}$, ${ }M_{1}$, ${ }\phi_{1}^{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }q_{2}^{2}\tilde{q}_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{4}q_{2}\tilde{q}_{1}$, ${ }q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{4}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }M_{5}q_{2}\tilde{q}_{1}$, ${ }M_{4}q_{2}\tilde{q}_{2}$, ${ }q_{2}^{2}\tilde{q}_{2}^{2}$, ${ }M_{3}q_{2}\tilde{q}_{1}$, ${ }M_{6}q_{2}\tilde{q}_{1}$, ${ }M_{4}M_{5}$, ${ }M_{5}q_{2}\tilde{q}_{2}$, ${ }M_{3}M_{4}$, ${ }M_{4}M_{6}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{3}q_{2}\tilde{q}_{2}$, ${ }M_{6}q_{2}\tilde{q}_{2}$, ${ }M_{5}^{2}$, ${ }M_{1}M_{4}$, ${ }M_{3}M_{5}$, ${ }M_{5}M_{6}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{3}^{2}$, ${ }M_{3}M_{6}$, ${ }M_{6}^{2}$, ${ }M_{1}M_{5}$, ${ }M_{4}\phi_{1}^{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$, ${ }M_{1}M_{3}$, ${ }M_{1}M_{6}$, ${ }M_{1}^{2}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{6}\phi_{1}^{2}$	${}q_{1}q_{2}\tilde{q}_{2}^{2}$	0	t^2.123 + 2*t^2.326 + t^2.529 + 2*t^2.696 + t^2.899 + t^3.101 + t^3.674 + t^3.877 + t^4.043 + 2*t^4.246 + 3*t^4.449 + 4*t^4.652 + 2*t^4.819 + 2*t^4.855 + 5*t^5.022 + t^5.058 + 5*t^5.225 + 3*t^5.391 + 2*t^5.428 + 2*t^5.594 + 2*t^5.797 + t^6.167 + t^6.203 + 4*t^6.369 + t^6.406 + 5*t^6.572 + 2*t^6.739 + 5*t^6.775 + 4*t^6.942 + 5*t^6.978 + 7*t^7.145 + 3*t^7.181 + 8*t^7.348 + 2*t^7.384 + 3*t^7.514 + 6*t^7.551 + t^7.587 + 8*t^7.717 + 4*t^7.754 + 7*t^7.92 + 5*t^8.087 + t^8.123 + 5*t^8.29 - 3*t^8.326 + 6*t^8.493 - 3*t^8.529 + 2*t^8.696 + 2*t^8.862 + 2*t^8.899 + t^8.935 - t^4.551/y - t^6.877/y - t^7.08/y - t^7.246/y + (2*t^7.449)/y + (2*t^7.652)/y + (2*t^7.819)/y + (3*t^7.855)/y + (6*t^8.022)/y + (6*t^8.225)/y + t^8.391/y + (3*t^8.428)/y + (2*t^8.594)/y + t^8.631/y + (3*t^8.797)/y - t^4.551*y - t^6.877*y - t^7.08*y - t^7.246*y + 2*t^7.449*y + 2*t^7.652*y + 2*t^7.819*y + 3*t^7.855*y + 6*t^8.022*y + 6*t^8.225*y + t^8.391*y + 3*t^8.428*y + 2*t^8.594*y + t^8.631*y + 3*t^8.797*y	g1^5*t^2.123 + (2*t^2.326)/g1^3 + t^2.529/g1^11 + 2*g1^12*t^2.696 + g1^4*t^2.899 + t^3.101/g1^4 + g1^3*t^3.674 + t^3.877/g1^5 + g1^18*t^4.043 + 2*g1^10*t^4.246 + 3*g1^2*t^4.449 + (4*t^4.652)/g1^6 + 2*g1^17*t^4.819 + (2*t^4.855)/g1^14 + 5*g1^9*t^5.022 + t^5.058/g1^22 + 5*g1*t^5.225 + 3*g1^24*t^5.391 + (2*t^5.428)/g1^7 + 2*g1^16*t^5.594 + 2*g1^8*t^5.797 + g1^23*t^6.167 + t^6.203/g1^8 + 4*g1^15*t^6.369 + t^6.406/g1^16 + 5*g1^7*t^6.572 + 2*g1^30*t^6.739 + (5*t^6.775)/g1 + 4*g1^22*t^6.942 + (5*t^6.978)/g1^9 + 7*g1^14*t^7.145 + (3*t^7.181)/g1^17 + 8*g1^6*t^7.348 + (2*t^7.384)/g1^25 + 3*g1^29*t^7.514 + (6*t^7.551)/g1^2 + t^7.587/g1^33 + 8*g1^21*t^7.717 + (4*t^7.754)/g1^10 + 7*g1^13*t^7.92 + 5*g1^36*t^8.087 + g1^5*t^8.123 + 5*g1^28*t^8.29 - (3*t^8.326)/g1^3 + 6*g1^20*t^8.493 - (3*t^8.529)/g1^11 + 2*g1^12*t^8.696 + 2*g1^35*t^8.862 + 2*g1^4*t^8.899 + t^8.935/g1^27 - t^4.551/(g1^2*y) - t^6.877/(g1^5*y) - t^7.08/(g1^13*y) - (g1^10*t^7.246)/y + (2*g1^2*t^7.449)/y + (2*t^7.652)/(g1^6*y) + (2*g1^17*t^7.819)/y + (3*t^7.855)/(g1^14*y) + (6*g1^9*t^8.022)/y + (6*g1*t^8.225)/y + (g1^24*t^8.391)/y + (3*t^8.428)/(g1^7*y) + (2*g1^16*t^8.594)/y + t^8.631/(g1^15*y) + (3*g1^8*t^8.797)/y - (t^4.551*y)/g1^2 - (t^6.877*y)/g1^5 - (t^7.08*y)/g1^13 - g1^10*t^7.246*y + 2*g1^2*t^7.449*y + (2*t^7.652*y)/g1^6 + 2*g1^17*t^7.819*y + (3*t^7.855*y)/g1^14 + 6*g1^9*t^8.022*y + 6*g1*t^8.225*y + g1^24*t^8.391*y + (3*t^8.428*y)/g1^7 + 2*g1^16*t^8.594*y + (t^8.631*y)/g1^15 + 3*g1^8*t^8.797*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

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
2795	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{2}M_{3}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{4}q_{1}\tilde{q}_{2}$ + ${ }M_{5}q_{1}\tilde{q}_{1}$	0.6281	0.8156	0.7701	[M:[0.9794, 1.0619, 0.9381, 0.7655, 0.8068], q:[0.7448, 0.2758], qb:[0.4484, 0.4897], phi:[0.5103]]	t^2.173 + 2*t^2.296 + t^2.42 + t^2.814 + t^2.938 + t^3.062 + t^3.186 + t^3.704 + t^3.827 + t^4.221 + 2*t^4.345 + 3*t^4.469 + 4*t^4.593 + 2*t^4.717 + t^4.841 + t^4.987 + 3*t^5.111 + 4*t^5.235 + 3*t^5.358 + 2*t^5.482 + t^5.606 + t^5.628 + t^5.752 + t^5.876 + t^6. - t^4.531/y - t^4.531*y	detail