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
126	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }\phi_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{2}\tilde{q}_{2}$	0.7546	0.9174	0.8226	[M:[0.7904, 0.7904, 0.7904], q:[0.6048, 0.6048], qb:[0.6048, 0.6048], phi:[0.3952]]	[M:[[0, -2, -2], [1, -4, -2], [-1, 0, -2]], q:[[-1, 2, 2], [1, 0, 0]], qb:[[0, 2, 0], [0, 0, 2]], phi:[[0, -1, -1]]]	3

Relevant Operators	Marginal Operators	$n_{marginal}$$-$$|F_{IR}|$	Superconformal Index	Refined index
${}M_{3}$, ${ }M_{2}$, ${ }M_{1}$, ${ }\phi_{1}^{2}$, ${ }q_{2}\tilde{q}_{1}$, ${ }\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }M_{3}^{2}$, ${ }M_{2}^{2}$, ${ }M_{1}M_{2}$, ${ }M_{2}\phi_{1}^{2}$, ${ }M_{1}^{2}$, ${ }M_{2}M_{3}$, ${ }M_{1}\phi_{1}^{2}$, ${ }\phi_{1}^{4}$, ${ }M_{1}M_{3}$, ${ }M_{3}\phi_{1}^{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}^{2}$	${}M_{2}q_{2}\tilde{q}_{1}$, ${ }M_{3}q_{2}\tilde{q}_{1}$, ${ }M_{2}q_{1}\tilde{q}_{2}$, ${ }M_{3}q_{1}\tilde{q}_{2}$, ${ }M_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$	-4	4*t^2.371 + 3*t^3.629 + 10*t^4.743 + 10*t^4.814 - 4*t^6. + 20*t^7.114 + 25*t^7.186 + 5*t^7.257 - 24*t^8.371 + 5*t^8.443 - t^4.186/y - (4*t^6.557)/y + (6*t^7.743)/y + (4*t^7.814)/y - (10*t^8.928)/y - t^4.186*y - 4*t^6.557*y + 6*t^7.743*y + 4*t^7.814*y - 10*t^8.928*y	t^2.371/(g1*g3^2) + (g1*t^2.371)/(g2^4*g3^2) + (2*t^2.371)/(g2^2*g3^2) + g1*g2^2*t^3.629 + g2^2*g3^2*t^3.629 + (g2^2*g3^4*t^3.629)/g1 + t^4.743/(g1^2*g3^4) + (g1^2*t^4.743)/(g2^8*g3^4) + (2*g1*t^4.743)/(g2^6*g3^4) + (4*t^4.743)/(g2^4*g3^4) + (2*t^4.743)/(g1*g2^2*g3^4) + (g1^2*t^4.814)/(g2*g3) + (g1*g2*t^4.814)/g3 + (g2^3*t^4.814)/g3 + (g1*g3*t^4.814)/g2 + 2*g2*g3*t^4.814 + (g2^3*g3*t^4.814)/g1 + (g3^3*t^4.814)/g2 + (g2*g3^3*t^4.814)/g1 + (g2^3*g3^3*t^4.814)/g1^2 - 2*t^6. - (g1*t^6.)/g2^2 - (g2^2*t^6.)/g1 + t^7.114/(g1^3*g3^6) + (g1^3*t^7.114)/(g2^12*g3^6) + (2*g1^2*t^7.114)/(g2^10*g3^6) + (4*g1*t^7.114)/(g2^8*g3^6) + (6*t^7.114)/(g2^6*g3^6) + (4*t^7.114)/(g1*g2^4*g3^6) + (2*t^7.114)/(g1^2*g2^2*g3^6) + (g1^3*t^7.186)/(g2^5*g3^3) + (2*g1^2*t^7.186)/(g2^3*g3^3) + (2*g1*t^7.186)/(g2*g3^3) + (2*g2*t^7.186)/g3^3 + (g2^3*t^7.186)/(g1*g3^3) + (g1^2*t^7.186)/(g2^5*g3) + (2*g1*t^7.186)/(g2^3*g3) + (3*t^7.186)/(g2*g3) + (2*g2*t^7.186)/(g1*g3) + (g2^3*t^7.186)/(g1^2*g3) + (g1*g3*t^7.186)/g2^5 + (2*g3*t^7.186)/g2^3 + (2*g3*t^7.186)/(g1*g2) + (2*g2*g3*t^7.186)/g1^2 + (g2^3*g3*t^7.186)/g1^3 + g1^2*g2^4*t^7.257 + g1*g2^4*g3^2*t^7.257 + g2^4*g3^4*t^7.257 + (g2^4*g3^6*t^7.257)/g1 + (g2^4*g3^8*t^7.257)/g1^2 - t^8.371/g1^2 - t^8.371/g2^4 - t^8.371/(g1*g2^2) - t^8.371/g3^4 - (g1^2*t^8.371)/(g2^4*g3^4) - (g1*t^8.371)/(g2^2*g3^4) - (5*t^8.371)/(g1*g3^2) - (g1^2*t^8.371)/(g2^6*g3^2) - (5*g1*t^8.371)/(g2^4*g3^2) - (6*t^8.371)/(g2^2*g3^2) - (g2^2*t^8.371)/(g1^2*g3^2) + (g1^3*g2*t^8.443)/g3 + (g1^2*g2^3*t^8.443)/g3 + (g1*g2^5*t^8.443)/g3 - g2^3*g3^3*t^8.443 + (g2*g3^7*t^8.443)/g1 + (g2^3*g3^7*t^8.443)/g1^2 + (g2^5*g3^7*t^8.443)/g1^3 - t^4.186/(g2*g3*y) - (g1*t^6.557)/(g2^5*g3^3*y) - (2*t^6.557)/(g2^3*g3^3*y) - t^6.557/(g1*g2*g3^3*y) + (2*g1*t^7.743)/(g2^6*g3^4*y) + (2*t^7.743)/(g2^4*g3^4*y) + (2*t^7.743)/(g1*g2^2*g3^4*y) + (g1*g3*t^7.814)/(g2*y) + (2*g2*g3*t^7.814)/y + (g2^3*g3*t^7.814)/(g1*y) - (g1^2*t^8.928)/(g2^9*g3^5*y) - (2*g1*t^8.928)/(g2^7*g3^5*y) - (4*t^8.928)/(g2^5*g3^5*y) - (2*t^8.928)/(g1*g2^3*g3^5*y) - t^8.928/(g1^2*g2*g3^5*y) - (t^4.186*y)/(g2*g3) - (g1*t^6.557*y)/(g2^5*g3^3) - (2*t^6.557*y)/(g2^3*g3^3) - (t^6.557*y)/(g1*g2*g3^3) + (2*g1*t^7.743*y)/(g2^6*g3^4) + (2*t^7.743*y)/(g2^4*g3^4) + (2*t^7.743*y)/(g1*g2^2*g3^4) + (g1*g3*t^7.814*y)/g2 + 2*g2*g3*t^7.814*y + (g2^3*g3*t^7.814*y)/g1 - (g1^2*t^8.928*y)/(g2^9*g3^5) - (2*g1*t^8.928*y)/(g2^7*g3^5) - (4*t^8.928*y)/(g2^5*g3^5) - (2*t^8.928*y)/(g1*g2^3*g3^5) - (t^8.928*y)/(g1^2*g2*g3^5)

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
204	${}M_{1}q_{1}q_{2}$ + ${ }\phi_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$	0.7087	0.8668	0.8176	[M:[0.9413, 0.8239, 1.0587], q:[0.588, 0.4707], qb:[0.588, 0.4707], phi:[0.4707]]	t^2.472 + 2*t^2.824 + 4*t^3.176 + 3*t^4.236 + 4*t^4.588 + 3*t^4.94 + t^4.943 + 2*t^5.296 + 3*t^5.648 - t^4.412/y - t^4.412*y	detail
206	${}M_{1}q_{1}q_{2}$ + ${ }\phi_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{2}\tilde{q}_{2}$ + ${ }M_{3}^{2}$	0.7289	0.8891	0.8198	[M:[0.8745, 0.7491, 1.0], q:[0.6255, 0.5], qb:[0.6255, 0.5], phi:[0.4373]]	t^2.247 + 2*t^2.624 + t^3. + 3*t^3.376 + 3*t^4.312 + t^4.494 + 4*t^4.688 + 2*t^4.871 + 3*t^5.065 + 4*t^5.247 + t^5.624 - t^6. - t^4.312/y - t^4.312*y	detail
207	${}M_{1}q_{1}q_{2}$ + ${ }\phi_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{2}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{1}$	0.7729	0.9519	0.812	[M:[0.7777, 0.7777, 0.7777, 0.7473], q:[0.596, 0.6263], qb:[0.6263, 0.596], phi:[0.3888]]	t^2.242 + 4*t^2.333 + t^3.576 + t^3.667 + t^4.484 + 4*t^4.575 + 10*t^4.666 + 3*t^4.742 + 4*t^4.833 + 3*t^4.925 + t^5.818 + t^5.909 - 4*t^6. - t^4.167/y - t^4.167*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
79	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }\phi_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$	0.7394	0.8922	0.8287	[M:[0.8151, 0.7774], q:[0.6113, 0.5736], qb:[0.6113, 0.5736], phi:[0.4075]]	t^2.332 + 2*t^2.445 + t^3.441 + 3*t^3.555 + 4*t^4.664 + 6*t^4.777 + 6*t^4.891 + t^5.774 + t^5.887 - 2*t^6. - t^4.223/y - t^4.223*y	detail