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
868	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }M_{4}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{4}\phi_{1}^{2}$ + ${ }M_{5}\phi_{1}^{2}$	0.5762	0.7294	0.79	[M:[0.7029, 1.099, 0.8019, 1.099, 1.099], q:[0.7748, 0.5223], qb:[0.6757, 0.2252], phi:[0.4505]]	[M:[[12], [-4], [8], [-4], [-4]], q:[[-1], [-11]], qb:[[3], [1]], phi:[[2]]]	1

Relevant Operators	Marginal Operators	$n_{marginal}$$-$$|F_{IR}|$	Superconformal Index	Refined index
${}M_{1}$, ${ }q_{2}\tilde{q}_{2}$, ${ }M_{3}$, ${ }q_{1}\tilde{q}_{2}$, ${ }M_{2}$, ${ }M_{4}$, ${ }M_{5}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{1}^{2}$, ${ }q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }q_{2}^{2}\tilde{q}_{2}^{2}$, ${ }M_{1}M_{3}$, ${ }M_{3}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }q_{1}q_{2}\tilde{q}_{2}^{2}$, ${ }M_{1}M_{2}$, ${ }M_{1}M_{4}$, ${ }M_{1}M_{5}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{3}q_{1}\tilde{q}_{2}$, ${ }M_{4}q_{2}\tilde{q}_{2}$, ${ }M_{5}q_{2}\tilde{q}_{2}$, ${ }M_{2}M_{3}$, ${ }M_{3}M_{4}$, ${ }M_{3}M_{5}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}^{2}\tilde{q}_{2}^{2}$	${}M_{3}\phi_{1}q_{2}\tilde{q}_{2}$	-3	t^2.109 + t^2.243 + t^2.406 + t^3. + 3*t^3.297 + t^3.594 + t^4.054 + t^4.217 + 2*t^4.351 + 2*t^4.486 + t^4.514 + t^4.812 + t^4.946 + t^5.243 + 5*t^5.406 + 2*t^5.54 + 3*t^5.703 + t^5.837 - 3*t^6. + t^6.163 + 2*t^6.297 + t^6.326 + t^6.46 + 7*t^6.594 + t^6.623 + 2*t^6.728 + t^6.891 + t^6.92 + t^7.217 + t^7.351 + t^7.486 + 4*t^7.514 + 3*t^7.649 + 4*t^7.783 + 4*t^7.812 + 2*t^8.08 - 2*t^8.109 - 2*t^8.243 + t^8.272 - 2*t^8.406 + t^8.435 + 2*t^8.54 + t^8.569 + 8*t^8.703 + t^8.732 + 4*t^8.837 + 3*t^8.971 - t^4.351/y - t^6.46/y - t^6.757/y + (2*t^7.054)/y + t^7.351/y + t^7.514/y - t^7.649/y + t^7.946/y + t^8.109/y + (2*t^8.243)/y + (4*t^8.406)/y + (3*t^8.54)/y - t^8.569/y + (4*t^8.703)/y + t^8.837/y - t^8.866/y - t^4.351*y - t^6.46*y - t^6.757*y + 2*t^7.054*y + t^7.351*y + t^7.514*y - t^7.649*y + t^7.946*y + t^8.109*y + 2*t^8.243*y + 4*t^8.406*y + 3*t^8.54*y - t^8.569*y + 4*t^8.703*y + t^8.837*y - t^8.866*y	g1^12*t^2.109 + t^2.243/g1^10 + g1^8*t^2.406 + t^3. + (3*t^3.297)/g1^4 + t^3.594/g1^8 + g1^6*t^4.054 + g1^24*t^4.217 + 2*g1^2*t^4.351 + (2*t^4.486)/g1^20 + g1^20*t^4.514 + g1^16*t^4.812 + t^4.946/g1^6 + t^5.243/g1^10 + 5*g1^8*t^5.406 + (2*t^5.54)/g1^14 + 3*g1^4*t^5.703 + t^5.837/g1^18 - 3*t^6. + g1^18*t^6.163 + (2*t^6.297)/g1^4 + g1^36*t^6.326 + g1^14*t^6.46 + (7*t^6.594)/g1^8 + g1^32*t^6.623 + (2*t^6.728)/g1^30 + t^6.891/g1^12 + g1^28*t^6.92 + g1^24*t^7.217 + g1^2*t^7.351 + t^7.486/g1^20 + 4*g1^20*t^7.514 + (3*t^7.649)/g1^2 + (4*t^7.783)/g1^24 + 4*g1^16*t^7.812 + (2*t^8.08)/g1^28 - 2*g1^12*t^8.109 - (2*t^8.243)/g1^10 + g1^30*t^8.272 - 2*g1^8*t^8.406 + g1^48*t^8.435 + (2*t^8.54)/g1^14 + g1^26*t^8.569 + 8*g1^4*t^8.703 + g1^44*t^8.732 + (4*t^8.837)/g1^18 + (3*t^8.971)/g1^40 - (g1^2*t^4.351)/y - (g1^14*t^6.46)/y - (g1^10*t^6.757)/y + (2*g1^6*t^7.054)/y + (g1^2*t^7.351)/y + (g1^20*t^7.514)/y - t^7.649/(g1^2*y) + t^7.946/(g1^6*y) + (g1^12*t^8.109)/y + (2*t^8.243)/(g1^10*y) + (4*g1^8*t^8.406)/y + (3*t^8.54)/(g1^14*y) - (g1^26*t^8.569)/y + (4*g1^4*t^8.703)/y + t^8.837/(g1^18*y) - (g1^22*t^8.866)/y - g1^2*t^4.351*y - g1^14*t^6.46*y - g1^10*t^6.757*y + 2*g1^6*t^7.054*y + g1^2*t^7.351*y + g1^20*t^7.514*y - (t^7.649*y)/g1^2 + (t^7.946*y)/g1^6 + g1^12*t^8.109*y + (2*t^8.243*y)/g1^10 + 4*g1^8*t^8.406*y + (3*t^8.54*y)/g1^14 - g1^26*t^8.569*y + 4*g1^4*t^8.703*y + (t^8.837*y)/g1^18 - g1^22*t^8.866*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
1361	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }M_{4}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{4}\phi_{1}^{2}$ + ${ }M_{5}\phi_{1}^{2}$ + ${ }M_{6}\phi_{1}q_{2}\tilde{q}_{2}$	0.593	0.7591	0.7812	[M:[0.6851, 1.105, 0.79, 1.105, 1.105, 0.79], q:[0.7762, 0.5387], qb:[0.6713, 0.2238], phi:[0.4475]]	t^2.055 + t^2.287 + 2*t^2.37 + t^3. + 3*t^3.315 + t^4.028 + t^4.11 + 2*t^4.343 + 2*t^4.425 + 2*t^4.575 + t^4.657 + 3*t^4.74 + t^4.972 + t^5.287 + 6*t^5.37 + 2*t^5.602 + 5*t^5.685 - 4*t^6. - t^4.343/y - t^4.343*y	detail
1362	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }M_{4}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{4}\phi_{1}^{2}$ + ${ }M_{5}\phi_{1}^{2}$ + ${ }\phi_{1}q_{2}^{2}\tilde{q}_{2}^{2}$ + ${ }M_{1}X_{1}$	0.554	0.686	0.8076	[X:[1.3333], M:[0.6667, 1.1111, 0.7778, 1.1111, 1.1111], q:[0.7778, 0.5556], qb:[0.6667, 0.2222], phi:[0.4444]]	2*t^2.333 + t^3. + 3*t^3.333 + t^3.667 + 2*t^4. + t^4.333 + 3*t^4.667 + 3*t^5.333 + 4*t^5.667 - 2*t^6. - t^4.333/y - t^4.333*y	detail	{a: 359/648, c: 889/1296, X1: 4/3, M1: 2/3, M2: 10/9, M3: 7/9, M4: 10/9, M5: 10/9, q1: 7/9, q2: 5/9, qb1: 2/3, qb2: 2/9, phi1: 4/9}

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
553	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }M_{4}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{4}\phi_{1}^{2}$	0.5854	0.7449	0.7859	[M:[0.6895, 1.1035, 0.793, 1.1035], q:[0.7759, 0.5346], qb:[0.6724, 0.2241], phi:[0.4483]]	t^2.069 + t^2.276 + t^2.379 + t^2.69 + t^3. + 2*t^3.31 + t^3.621 + t^4.034 + t^4.137 + 2*t^4.345 + t^4.448 + 2*t^4.552 + 2*t^4.758 + 2*t^4.966 + t^5.069 + t^5.276 + 5*t^5.379 + t^5.587 + 3*t^5.69 + t^5.897 - t^6. - t^4.345/y - t^4.345*y	detail