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
8970	Sp2adj1nf1	${}\phi_{1}^{2}X_{1}$ + ${ }M_{1}\phi_{1}q_{1}^{2}$ + ${ }M_{2}\phi_{1}q_{2}^{2}$ + ${ }M_{2}\phi_{1}^{4}$ + ${ }M_{3}\phi_{1}q_{1}q_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{2}M_{4}$ + ${ }M_{5}\phi_{1}^{2}q_{1}q_{2}$	1.1403	1.2981	0.8784	[X:[1.5789], M:[0.9474, 1.1579, 1.0526, 0.8421, 0.8421], q:[0.4211, 0.3158], qb:[], phi:[0.2105]]	[X:[[0]], M:[[0], [0], [0], [0], [0]], q:[[0], [0]], qb:[], phi:[[0]]]	0	{a: 7821/6859, c: 8904/6859, X1: 30/19, M1: 18/19, M2: 22/19, M3: 20/19, M4: 16/19, M5: 16/19, q1: 8/19, q2: 6/19, phi1: 4/19}

Relevant Operators	Marginal Operators	$n_{marginal}$$-$$|F_{IR}|$	Superconformal Index	Refined index
${}q_{1}q_{2}$, ${ }M_{4}$, ${ }M_{5}$, ${ }\phi_{1}^{4}$, ${ }M_{1}$, ${ }M_{3}$, ${ }\phi_{1}^{3}q_{2}^{2}$, ${ }\phi_{1}^{3}q_{1}q_{2}$, ${ }\phi_{1}^{3}q_{1}^{2}$, ${ }q_{1}^{2}q_{2}^{2}$, ${ }M_{4}q_{1}q_{2}$, ${ }M_{5}q_{1}q_{2}$, ${ }\phi_{1}^{4}q_{1}q_{2}$, ${ }X_{1}$, ${ }M_{4}^{2}$, ${ }M_{4}M_{5}$, ${ }M_{5}^{2}$, ${ }M_{4}\phi_{1}^{4}$, ${ }M_{5}\phi_{1}^{4}$, ${ }\phi_{1}^{8}$, ${ }M_{1}q_{1}q_{2}$, ${ }M_{1}M_{4}$, ${ }M_{1}M_{5}$, ${ }M_{1}\phi_{1}^{4}$, ${ }M_{3}q_{1}q_{2}$, ${ }M_{1}^{2}$, ${ }M_{3}M_{4}$, ${ }M_{3}M_{5}$, ${ }M_{3}\phi_{1}^{4}$	${}\phi_{1}^{3}q_{1}q_{2}^{3}$	0	t^2.21 + 3*t^2.53 + t^2.84 + t^3.16 + t^3.79 + t^4.11 + 2*t^4.42 + 4*t^4.74 + 7*t^5.05 + 4*t^5.37 + 3*t^5.68 + 3*t^6.32 + 5*t^6.63 + 6*t^6.95 + 10*t^7.26 + 14*t^7.58 + 9*t^7.89 + 5*t^8.21 + 2*t^8.53 + 5*t^8.84 + t^8.53/y^2 - t^8.84/y^2 - t^3.63/y - t^4.89/y - t^5.84/y - (3*t^6.16)/y - t^6.47/y - t^6.79/y - (3*t^7.42)/y + (2*t^7.74)/y + (2*t^8.05)/y + (2*t^8.37)/y - (4*t^8.68)/y - t^3.63*y - t^4.89*y - t^5.84*y - 3*t^6.16*y - t^6.47*y - t^6.79*y - 3*t^7.42*y + 2*t^7.74*y + 2*t^8.05*y + 2*t^8.37*y - 4*t^8.68*y + t^8.53*y^2 - t^8.84*y^2	t^2.21 + 3*t^2.53 + t^2.84 + t^3.16 + t^3.79 + t^4.11 + 2*t^4.42 + 4*t^4.74 + 7*t^5.05 + 4*t^5.37 + 3*t^5.68 + 3*t^6.32 + 5*t^6.63 + 6*t^6.95 + 10*t^7.26 + 14*t^7.58 + 9*t^7.89 + 5*t^8.21 + 2*t^8.53 + 5*t^8.84 + t^8.53/y^2 - t^8.84/y^2 - t^3.63/y - t^4.89/y - t^5.84/y - (3*t^6.16)/y - t^6.47/y - t^6.79/y - (3*t^7.42)/y + (2*t^7.74)/y + (2*t^8.05)/y + (2*t^8.37)/y - (4*t^8.68)/y - t^3.63*y - t^4.89*y - t^5.84*y - 3*t^6.16*y - t^6.47*y - t^6.79*y - 3*t^7.42*y + 2*t^7.74*y + 2*t^8.05*y + 2*t^8.37*y - 4*t^8.68*y + t^8.53*y^2 - t^8.84*y^2

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
9056	${}\phi_{1}^{2}X_{1}$ + ${ }M_{1}\phi_{1}q_{1}^{2}$ + ${ }M_{2}\phi_{1}q_{2}^{2}$ + ${ }M_{2}\phi_{1}^{4}$ + ${ }M_{3}\phi_{1}q_{1}q_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{2}M_{4}$ + ${ }M_{5}\phi_{1}^{2}q_{1}q_{2}$ + ${ }M_{1}M_{6}$	1.1354	1.29	0.8801	[X:[1.5789], M:[0.9474, 1.1579, 1.0526, 0.8421, 0.8421, 1.0526], q:[0.4211, 0.3158], qb:[], phi:[0.2105]]	t^2.21 + 3*t^2.53 + 2*t^3.16 + t^3.79 + t^4.11 + 2*t^4.42 + 4*t^4.74 + 6*t^5.05 + 2*t^5.37 + 5*t^5.68 - t^6. - t^3.63/y - t^4.89/y - t^5.84/y - t^3.63*y - t^4.89*y - t^5.84*y	detail	{a: 124599/109744, c: 70783/54872, X1: 30/19, M1: 18/19, M2: 22/19, M3: 20/19, M4: 16/19, M5: 16/19, M6: 20/19, q1: 8/19, q2: 6/19, phi1: 4/19}
9073	${}\phi_{1}^{2}X_{1}$ + ${ }M_{1}\phi_{1}q_{1}^{2}$ + ${ }M_{2}\phi_{1}q_{2}^{2}$ + ${ }M_{2}\phi_{1}^{4}$ + ${ }M_{3}\phi_{1}q_{1}q_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{2}M_{4}$ + ${ }M_{5}\phi_{1}^{2}q_{1}q_{2}$ + ${ }M_{3}M_{6}$	1.1451	1.3063	0.8766	[X:[1.5789], M:[0.9474, 1.1579, 1.0526, 0.8421, 0.8421, 0.9474], q:[0.4211, 0.3158], qb:[], phi:[0.2105]]	t^2.21 + 3*t^2.53 + 2*t^2.84 + t^3.79 + t^4.11 + 2*t^4.42 + 4*t^4.74 + 8*t^5.05 + 6*t^5.37 + 2*t^5.68 - t^6. - t^3.63/y - t^4.89/y - t^5.84/y - t^3.63*y - t^4.89*y - t^5.84*y	detail	{a: 125673/109744, c: 71681/54872, X1: 30/19, M1: 18/19, M2: 22/19, M3: 20/19, M4: 16/19, M5: 16/19, M6: 18/19, q1: 8/19, q2: 6/19, phi1: 4/19}
9063	${}\phi_{1}^{2}X_{1}$ + ${ }M_{1}\phi_{1}q_{1}^{2}$ + ${ }M_{2}\phi_{1}q_{2}^{2}$ + ${ }M_{2}\phi_{1}^{4}$ + ${ }M_{3}\phi_{1}q_{1}q_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{2}M_{4}$ + ${ }M_{5}\phi_{1}^{2}q_{1}q_{2}$ + ${ }M_{6}\phi_{1}^{3}q_{2}^{2}$	1.1598	1.3341	0.8693	[X:[1.5789], M:[0.9474, 1.1579, 1.0526, 0.8421, 0.8421, 0.7368], q:[0.4211, 0.3158], qb:[], phi:[0.2105]]	2*t^2.21 + 3*t^2.53 + t^2.84 + t^3.16 + t^4.11 + 4*t^4.42 + 7*t^4.74 + 8*t^5.05 + 5*t^5.37 + 3*t^5.68 - t^6. - t^3.63/y - t^4.89/y - (2*t^5.84)/y - t^3.63*y - t^4.89*y - 2*t^5.84*y	detail	{a: 6699/5776, c: 3853/2888, X1: 30/19, M1: 18/19, M2: 22/19, M3: 20/19, M4: 16/19, M5: 16/19, M6: 14/19, q1: 8/19, q2: 6/19, phi1: 4/19}

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
8908	Sp2adj1nf1	${}\phi_{1}^{2}X_{1}$ + ${ }M_{1}\phi_{1}q_{1}^{2}$ + ${ }M_{2}\phi_{1}q_{2}^{2}$ + ${ }M_{2}\phi_{1}^{4}$ + ${ }M_{3}\phi_{1}q_{1}q_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{2}M_{4}$	1.1266	1.2746	0.8839	[X:[1.5789], M:[0.9474, 1.1579, 1.0526, 0.8421], q:[0.4211, 0.3158], qb:[], phi:[0.2105]]	t^2.21 + 2*t^2.53 + t^2.84 + t^3.16 + t^3.47 + t^3.79 + t^4.11 + 2*t^4.42 + 3*t^4.74 + 4*t^5.05 + 3*t^5.37 + 3*t^5.68 + 2*t^6. - t^3.63/y - t^4.89/y - t^5.84/y - t^3.63*y - t^4.89*y - t^5.84*y	detail	{a: 6507/5776, c: 3681/2888, X1: 30/19, M1: 18/19, M2: 22/19, M3: 20/19, M4: 16/19, q1: 8/19, q2: 6/19, phi1: 4/19}