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
1757	SU2adj1nf2	${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}^{4}$ + ${ }M_{2}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{1}q_{2}$	0.6717	0.8683	0.7736	[M:[1.1457, 0.7086, 0.6771, 0.8229], q:[0.75, 0.4271], qb:[0.4271, 0.3957], phi:[0.5]]	[M:[[2], [-4], [-1], [1]], q:[[0], [-1]], qb:[[-1], [2]], phi:[[0]]]	1

Relevant Operators	Marginal Operators	$n_{marginal}$$-$$|F_{IR}|$	Superconformal Index	Refined index
${}M_{3}$, ${ }M_{2}$, ${ }M_{4}$, ${ }q_{2}\tilde{q}_{2}$, ${ }\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{2}$, ${ }M_{1}$, ${ }q_{1}\tilde{q}_{2}$, ${ }q_{1}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{3}^{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{2}M_{3}$, ${ }M_{2}^{2}$, ${ }M_{3}M_{4}$, ${ }M_{3}q_{2}\tilde{q}_{2}$, ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{2}M_{4}$, ${ }M_{2}q_{2}\tilde{q}_{2}$, ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{4}^{2}$, ${ }M_{4}q_{2}\tilde{q}_{2}$, ${ }M_{4}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{2}^{2}\tilde{q}_{2}^{2}$, ${ }q_{2}\tilde{q}_{1}\tilde{q}_{2}^{2}$, ${ }\tilde{q}_{1}^{2}\tilde{q}_{2}^{2}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{2}\phi_{1}^{2}$, ${ }M_{1}M_{3}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{3}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{1}M_{2}$, ${ }M_{3}q_{1}\tilde{q}_{1}$, ${ }M_{2}q_{1}\tilde{q}_{2}$, ${ }M_{2}q_{1}\tilde{q}_{1}$, ${ }M_{1}M_{4}$, ${ }M_{4}q_{1}\tilde{q}_{2}$, ${ }q_{1}q_{2}\tilde{q}_{2}^{2}$, ${ }q_{1}\tilde{q}_{1}\tilde{q}_{2}^{2}$	${}M_{4}q_{1}\tilde{q}_{1}$, ${ }q_{1}\tilde{q}_{1}^{2}\tilde{q}_{2}$	-1	t^2.031 + t^2.126 + 3*t^2.469 + t^3. + 2*t^3.437 + t^3.531 + t^3.969 + 4*t^4.063 + t^4.157 + t^4.251 + 3*t^4.5 + 3*t^4.594 + 6*t^4.937 + t^5.031 + t^5.126 + 5*t^5.469 + 3*t^5.563 + t^5.657 + 4*t^5.906 - t^6. + 3*t^6.094 + 4*t^6.189 + t^6.283 + t^6.377 + 3*t^6.437 + 9*t^6.531 + 3*t^6.626 + 3*t^6.72 + 2*t^6.874 + 5*t^6.969 + 7*t^7.063 + t^7.157 + t^7.251 + 8*t^7.406 + 4*t^7.5 + 5*t^7.594 + 3*t^7.689 + t^7.783 + 7*t^7.937 + 2*t^8.031 + 6*t^8.126 + 3*t^8.22 + 4*t^8.314 + 6*t^8.374 + t^8.408 - 6*t^8.469 + t^8.503 + 6*t^8.563 + 9*t^8.657 + 3*t^8.751 + 3*t^8.846 + 6*t^8.906 - t^4.5/y - t^6.531/y - t^6.626/y - t^6.969/y + t^7.063/y + t^7.157/y + (3*t^7.5)/y + (3*t^7.594)/y + (2*t^7.937)/y + (2*t^8.031)/y + t^8.126/y + t^8.374/y + (6*t^8.469)/y + (2*t^8.563)/y - t^8.751/y + (6*t^8.906)/y - t^4.5*y - t^6.531*y - t^6.626*y - t^6.969*y + t^7.063*y + t^7.157*y + 3*t^7.5*y + 3*t^7.594*y + 2*t^7.937*y + 2*t^8.031*y + t^8.126*y + t^8.374*y + 6*t^8.469*y + 2*t^8.563*y - t^8.751*y + 6*t^8.906*y	t^2.031/g1 + t^2.126/g1^4 + 3*g1*t^2.469 + t^3. + 2*g1^2*t^3.437 + t^3.531/g1 + g1*t^3.969 + (4*t^4.063)/g1^2 + t^4.157/g1^5 + t^4.251/g1^8 + 3*t^4.5 + (3*t^4.594)/g1^3 + 6*g1^2*t^4.937 + t^5.031/g1 + t^5.126/g1^4 + 5*g1*t^5.469 + (3*t^5.563)/g1^2 + t^5.657/g1^5 + 4*g1^3*t^5.906 - t^6. + (3*t^6.094)/g1^3 + (4*t^6.189)/g1^6 + t^6.283/g1^9 + t^6.377/g1^12 + 3*g1^2*t^6.437 + (9*t^6.531)/g1 + (3*t^6.626)/g1^4 + (3*t^6.72)/g1^7 + 2*g1^4*t^6.874 + 5*g1*t^6.969 + (7*t^7.063)/g1^2 + t^7.157/g1^5 + t^7.251/g1^8 + 8*g1^3*t^7.406 + 4*t^7.5 + (5*t^7.594)/g1^3 + (3*t^7.689)/g1^6 + t^7.783/g1^9 + 7*g1^2*t^7.937 + (2*t^8.031)/g1 + (6*t^8.126)/g1^4 + (3*t^8.22)/g1^7 + (4*t^8.314)/g1^10 + 6*g1^4*t^8.374 + t^8.408/g1^13 - 6*g1*t^8.469 + t^8.503/g1^16 + (6*t^8.563)/g1^2 + (9*t^8.657)/g1^5 + (3*t^8.751)/g1^8 + (3*t^8.846)/g1^11 + 6*g1^3*t^8.906 - t^4.5/y - t^6.531/(g1*y) - t^6.626/(g1^4*y) - (g1*t^6.969)/y + t^7.063/(g1^2*y) + t^7.157/(g1^5*y) + (3*t^7.5)/y + (3*t^7.594)/(g1^3*y) + (2*g1^2*t^7.937)/y + (2*t^8.031)/(g1*y) + t^8.126/(g1^4*y) + (g1^4*t^8.374)/y + (6*g1*t^8.469)/y + (2*t^8.563)/(g1^2*y) - t^8.751/(g1^8*y) + (6*g1^3*t^8.906)/y - t^4.5*y - (t^6.531*y)/g1 - (t^6.626*y)/g1^4 - g1*t^6.969*y + (t^7.063*y)/g1^2 + (t^7.157*y)/g1^5 + 3*t^7.5*y + (3*t^7.594*y)/g1^3 + 2*g1^2*t^7.937*y + (2*t^8.031*y)/g1 + (t^8.126*y)/g1^4 + g1^4*t^8.374*y + 6*g1*t^8.469*y + (2*t^8.563*y)/g1^2 - (t^8.751*y)/g1^8 + 6*g1^3*t^8.906*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
2761	${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}^{4}$ + ${ }M_{2}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{1}q_{2}$ + ${ }M_{5}q_{1}\tilde{q}_{1}$	0.6868	0.8943	0.768	[M:[1.139, 0.7221, 0.6805, 0.8195, 0.8195], q:[0.75, 0.4305], qb:[0.4305, 0.389], phi:[0.5]]	t^2.042 + t^2.166 + 4*t^2.458 + t^3. + 2*t^3.417 + t^3.958 + 4*t^4.083 + t^4.208 + t^4.332 + 4*t^4.5 + 4*t^4.625 + 10*t^4.917 + t^5.042 + t^5.166 + 6*t^5.458 + 2*t^5.583 + 6*t^5.875 - 4*t^6. - t^4.5/y - t^4.5*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
253	SU2adj1nf2	${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}^{4}$ + ${ }M_{2}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$	0.6567	0.8429	0.7791	[M:[1.1526, 0.6948, 0.6737], q:[0.75, 0.4237], qb:[0.4237, 0.4026], phi:[0.5]]	t^2.021 + t^2.084 + 2*t^2.479 + t^3. + 2*t^3.458 + 2*t^3.521 + t^3.979 + 4*t^4.042 + t^4.106 + t^4.169 + 2*t^4.5 + 2*t^4.563 + 3*t^4.958 + t^5.021 + t^5.084 + 4*t^5.479 + 4*t^5.542 + 2*t^5.606 + 2*t^5.937 - t^4.5/y - t^4.5*y	detail