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
46058	SU2adj1nf2	${}\phi_{1}q_{1}q_{2}$ + ${ }M_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{2}q_{2}\tilde{q}_{1}$ + ${ }M_{1}M_{2}$	0.4135	0.4854	0.8518	[X:[1.3853], M:[0.922, 1.078], q:[1.0024, 0.6903], qb:[0.2317, 0.8463], phi:[0.3073]]	[X:[[4]], M:[[-6], [6]], q:[[13], [-11]], qb:[[5], [1]], phi:[[-2]]]	1

Relevant Operators	Marginal Operators	$n_{marginal}$$-$$|F_{IR}|$	Superconformal Index	Refined index
${}\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{1}$, ${ }M_{2}$, ${ }q_{1}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }X_{1}$, ${ }\phi_{1}^{2}\tilde{q}_{1}^{4}$, ${ }q_{1}q_{2}$, ${ }M_{2}\phi_{1}\tilde{q}_{1}^{2}$, ${ }q_{1}\tilde{q}_{2}$	${}$	-1	t^2.312 + t^2.766 + t^3.234 + t^3.702 + t^4.156 + t^4.624 + t^5.078 + t^5.546 - t^6. + t^6.014 - t^6.454 + t^6.468 - t^6.922 + 2*t^6.936 + t^7.404 + t^7.858 - t^8.312 + t^8.326 - t^8.766 + t^8.78 - t^3.922/y + t^8.078/y + t^8.546/y - t^3.922*y + t^8.078*y + t^8.546*y	g1^8*t^2.312 + t^2.766/g1^6 + g1^6*t^3.234 + g1^18*t^3.702 + g1^4*t^4.156 + g1^16*t^4.624 + g1^2*t^5.078 + g1^14*t^5.546 - t^6. + g1^26*t^6.014 - t^6.454/g1^14 + g1^12*t^6.468 - t^6.922/g1^2 + 2*g1^24*t^6.936 + g1^36*t^7.404 + g1^22*t^7.858 - g1^8*t^8.312 + g1^34*t^8.326 - t^8.766/g1^6 + g1^20*t^8.78 - t^3.922/(g1^2*y) + (g1^2*t^8.078)/y + (g1^14*t^8.546)/y - (t^3.922*y)/g1^2 + g1^2*t^8.078*y + g1^14*t^8.546*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
46276	${}\phi_{1}q_{1}q_{2}$ + ${ }M_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{2}q_{2}\tilde{q}_{1}$ + ${ }M_{1}M_{2}$ + ${ }M_{2}M_{3}$	0.4214	0.4969	0.8481	[X:[1.3963], M:[0.9056, 1.0944, 0.9056], q:[1.0379, 0.6603], qb:[0.2453, 0.8491], phi:[0.3019]]	t^2.378 + 2*t^2.717 + t^3.85 + t^4.189 + t^4.755 + 2*t^5.094 + 2*t^5.434 - 2*t^6. - t^3.906/y - t^3.906*y	detail
46299	${}\phi_{1}q_{1}q_{2}$ + ${ }M_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{2}q_{2}\tilde{q}_{1}$ + ${ }M_{1}M_{2}$ + ${ }M_{2}\phi_{1}\tilde{q}_{1}^{2}$	0.4029	0.4654	0.8657	[X:[1.4286], M:[0.8571, 1.1429], q:[1.1429, 0.5714], qb:[0.2857, 0.8571], phi:[0.2857]]	2*t^2.571 + t^3.429 + 2*t^4.286 + 2*t^5.143 - t^6. - t^3.857/y - t^3.857*y	detail	{a: 2211/5488, c: 1277/2744, X1: 10/7, M1: 6/7, M2: 8/7, q1: 8/7, q2: 4/7, qb1: 2/7, qb2: 6/7, phi1: 2/7}
46093	${}\phi_{1}q_{1}q_{2}$ + ${ }M_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{2}q_{2}\tilde{q}_{1}$ + ${ }M_{1}M_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$	0.4329	0.5202	0.8323	[X:[1.3957], M:[0.9064, 1.0936, 0.7193], q:[1.036, 0.6618], qb:[0.2446, 0.8489], phi:[0.3021]]	t^2.158 + t^2.374 + t^2.719 + t^3.281 + t^4.187 + t^4.316 + t^4.532 + t^4.748 + t^4.877 + t^5.094 + t^5.439 + t^5.655 - t^6. - t^3.906/y - t^3.906*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
19	SU2adj1nf1	${}\phi_{1}^{2}X_{1}$ + ${ }M_{1}\phi_{1}q_{1}^{2}$ + ${ }M_{2}\phi_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{1}M_{2}$	0.4135	0.4854	0.8518	[X:[1.3853], M:[1.078, 0.922], q:[0.3073], qb:[0.4634], phi:[0.3073]]	t^2.312 + t^2.766 + t^3.234 + t^3.702 + t^4.156 + t^4.624 + t^5.078 + t^5.546 - t^6. - t^3.922/y - t^3.922*y	detail

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
45904	SU2adj1nf2	${}\phi_{1}q_{1}q_{2}$ + ${ }M_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{2}q_{2}\tilde{q}_{1}$	0.4927	0.5714	0.8624	[X:[1.5228], M:[0.7159, 0.6962], q:[0.861, 0.9004], qb:[0.4035, 0.8807], phi:[0.2386]]	t^2.088 + t^2.148 + t^3.137 + t^3.793 + t^4.177 + t^4.236 + t^4.295 + t^4.568 + t^5.225 + t^5.284 + t^5.882 - 2*t^6. - t^3.716/y - t^5.804/y - t^5.863/y - t^3.716*y - t^5.804*y - t^5.863*y	detail