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
47053	SU2adj1nf2	${}\phi_{1}q_{1}^{2}$ + ${ }\phi_{1}^{4}$ + ${ }M_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{2}q_{1}q_{2}$ + ${ }M_{3}q_{1}q_{2}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{5}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$	0.6784	0.88	0.7709	[M:[1.1129, 0.7742, 0.7742, 0.8871, 0.7258], q:[0.75, 0.4758], qb:[0.3629, 0.4113], phi:[0.5]]	[M:[[-1], [2], [2], [1], [-2]], q:[[0], [-2]], qb:[[-1], [3]], phi:[[0]]]	1

Relevant Operators	Marginal Operators	$n_{marginal}$$-$$|F_{IR}|$	Superconformal Index	Refined index
${}M_{5}$, ${ }M_{2}$, ${ }M_{3}$, ${ }\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{2}\tilde{q}_{1}$, ${ }M_{4}$, ${ }\phi_{1}^{2}$, ${ }M_{1}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{5}^{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }M_{2}M_{5}$, ${ }M_{3}M_{5}$, ${ }M_{5}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{2}^{2}$, ${ }M_{2}M_{3}$, ${ }M_{3}^{2}$, ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\tilde{q}_{1}^{2}\tilde{q}_{2}^{2}$, ${ }M_{5}q_{2}\tilde{q}_{1}$, ${ }M_{4}M_{5}$, ${ }M_{2}q_{2}\tilde{q}_{1}$, ${ }M_{3}q_{2}\tilde{q}_{1}$, ${ }q_{2}\tilde{q}_{1}^{2}\tilde{q}_{2}$, ${ }M_{2}M_{4}$, ${ }M_{3}M_{4}$, ${ }M_{4}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{2}^{2}\tilde{q}_{1}^{2}$, ${ }M_{5}\phi_{1}^{2}$, ${ }M_{4}q_{2}\tilde{q}_{1}$, ${ }M_{4}^{2}$, ${ }M_{2}\phi_{1}^{2}$, ${ }M_{3}\phi_{1}^{2}$, ${ }\phi_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{1}M_{5}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$, ${ }M_{1}M_{2}$, ${ }M_{1}M_{3}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{5}q_{1}\tilde{q}_{2}$, ${ }M_{2}q_{1}\tilde{q}_{2}$, ${ }M_{3}q_{1}\tilde{q}_{2}$, ${ }q_{1}\tilde{q}_{1}\tilde{q}_{2}^{2}$	${}M_{1}M_{4}$	-1	t^2.177 + 3*t^2.323 + t^2.516 + t^2.661 + t^3. + t^3.339 + t^3.484 + t^3.968 + t^4.016 + t^4.161 + 2*t^4.355 + 3*t^4.5 + 6*t^4.645 + t^4.694 + 4*t^4.839 + 3*t^4.984 + t^5.032 + 2*t^5.177 + 4*t^5.323 + 2*t^5.516 + 4*t^5.661 + 2*t^5.806 - t^6. + t^6.145 + 3*t^6.29 + 2*t^6.339 + 3*t^6.484 + 3*t^6.532 + t^6.629 + 6*t^6.677 + 6*t^6.823 + 2*t^6.871 + 11*t^6.968 + 4*t^7.016 + 6*t^7.161 + t^7.21 + 5*t^7.306 + 4*t^7.355 + t^7.452 + 5*t^7.5 + t^7.548 + 7*t^7.645 + 2*t^7.694 + 5*t^7.839 + t^7.935 + 8*t^7.984 + t^8.032 + 4*t^8.129 - 2*t^8.177 - 2*t^8.323 + t^8.371 + 2*t^8.468 - 2*t^8.516 + 6*t^8.613 + 3*t^8.71 + 6*t^8.806 + 5*t^8.855 + 3*t^8.952 - t^4.5/y - t^6.677/y - (2*t^6.823)/y + (3*t^7.5)/y + (3*t^7.645)/y + t^7.694/y + (4*t^7.839)/y + (3*t^7.984)/y + (4*t^8.177)/y + (4*t^8.323)/y + (2*t^8.516)/y + (5*t^8.661)/y + (3*t^8.806)/y - t^4.5*y - t^6.677*y - 2*t^6.823*y + 3*t^7.5*y + 3*t^7.645*y + t^7.694*y + 4*t^7.839*y + 3*t^7.984*y + 4*t^8.177*y + 4*t^8.323*y + 2*t^8.516*y + 5*t^8.661*y + 3*t^8.806*y	t^2.177/g1^2 + 3*g1^2*t^2.323 + t^2.516/g1^3 + g1*t^2.661 + t^3. + t^3.339/g1 + g1^3*t^3.484 + g1^6*t^3.968 + t^4.016/g1^3 + g1*t^4.161 + (2*t^4.355)/g1^4 + 3*t^4.5 + 6*g1^4*t^4.645 + t^4.694/g1^5 + (4*t^4.839)/g1 + 3*g1^3*t^4.984 + t^5.032/g1^6 + (2*t^5.177)/g1^2 + 4*g1^2*t^5.323 + (2*t^5.516)/g1^3 + 4*g1*t^5.661 + 2*g1^5*t^5.806 - t^6. + g1^4*t^6.145 + 3*g1^8*t^6.29 + (2*t^6.339)/g1 + 3*g1^3*t^6.484 + (3*t^6.532)/g1^6 + g1^7*t^6.629 + (6*t^6.677)/g1^2 + 6*g1^2*t^6.823 + (2*t^6.871)/g1^7 + 11*g1^6*t^6.968 + (4*t^7.016)/g1^3 + 6*g1*t^7.161 + t^7.21/g1^8 + 5*g1^5*t^7.306 + (4*t^7.355)/g1^4 + g1^9*t^7.452 + 5*t^7.5 + t^7.548/g1^9 + 7*g1^4*t^7.645 + (2*t^7.694)/g1^5 + (5*t^7.839)/g1 + g1^12*t^7.935 + 8*g1^3*t^7.984 + t^8.032/g1^6 + 4*g1^7*t^8.129 - (2*t^8.177)/g1^2 - 2*g1^2*t^8.323 + t^8.371/g1^7 + 2*g1^6*t^8.468 - (2*t^8.516)/g1^3 + 6*g1^10*t^8.613 + (3*t^8.71)/g1^8 + 6*g1^5*t^8.806 + (5*t^8.855)/g1^4 + 3*g1^9*t^8.952 - t^4.5/y - t^6.677/(g1^2*y) - (2*g1^2*t^6.823)/y + (3*t^7.5)/y + (3*g1^4*t^7.645)/y + t^7.694/(g1^5*y) + (4*t^7.839)/(g1*y) + (3*g1^3*t^7.984)/y + (4*t^8.177)/(g1^2*y) + (4*g1^2*t^8.323)/y + (2*t^8.516)/(g1^3*y) + (5*g1*t^8.661)/y + (3*g1^5*t^8.806)/y - t^4.5*y - (t^6.677*y)/g1^2 - 2*g1^2*t^6.823*y + 3*t^7.5*y + 3*g1^4*t^7.645*y + (t^7.694*y)/g1^5 + (4*t^7.839*y)/g1 + 3*g1^3*t^7.984*y + (4*t^8.177*y)/g1^2 + 4*g1^2*t^8.323*y + (2*t^8.516*y)/g1^3 + 5*g1*t^8.661*y + 3*g1^5*t^8.806*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
55207	${}\phi_{1}q_{1}^{2}$ + ${ }\phi_{1}^{4}$ + ${ }M_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{2}q_{1}q_{2}$ + ${ }M_{3}q_{1}q_{2}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{5}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{6}\phi_{1}\tilde{q}_{2}^{2}$	0.6992	0.9211	0.7591	[M:[1.1122, 0.7756, 0.7756, 0.8878, 0.7244, 0.6733], q:[0.75, 0.4744], qb:[0.3622, 0.4134], phi:[0.5]]	t^2.02 + t^2.173 + 3*t^2.327 + t^2.51 + t^2.663 + t^3. + t^3.337 + t^3.49 + t^4.01 + t^4.04 + t^4.163 + t^4.193 + 5*t^4.347 + 3*t^4.5 + t^4.53 + 6*t^4.653 + 2*t^4.683 + 4*t^4.837 + 3*t^4.99 + 2*t^5.02 + 2*t^5.173 + 4*t^5.327 + t^5.356 + 3*t^5.51 + 4*t^5.663 + 2*t^5.817 - 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
46659	SU2adj1nf2	${}\phi_{1}q_{1}^{2}$ + ${ }\phi_{1}^{4}$ + ${ }M_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{2}q_{1}q_{2}$ + ${ }M_{3}q_{1}q_{2}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$	0.6585	0.8435	0.7807	[M:[1.1149, 0.7702, 0.7702, 0.8851], q:[0.75, 0.4798], qb:[0.3649, 0.4053], phi:[0.5]]	3*t^2.311 + t^2.534 + t^2.655 + t^3. + t^3.345 + t^3.466 + t^3.811 + t^3.932 + t^4.034 + t^4.155 + t^4.379 + 6*t^4.621 + 3*t^4.845 + 3*t^4.966 + t^5.068 + t^5.189 + 4*t^5.311 + t^5.534 + 3*t^5.655 + 2*t^5.776 - t^6. - t^4.5/y - t^4.5*y	detail