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
3337	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}^{2}$ + ${ }M_{2}M_{3}$ + ${ }\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{4}X_{1}$ + ${ }M_{5}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$	0.6008	0.7615	0.789	[X:[1.5714], M:[1.0, 0.7143, 1.2857, 0.4286, 0.7857, 0.7857], q:[0.3214, 0.6786], qb:[0.3929, 0.8929], phi:[0.4286]]	[X:[[0]], M:[[0], [0], [0], [0], [2], [-2]], q:[[1], [-1]], qb:[[-1], [1]], phi:[[0]]]	1	{a: 26379/43904, c: 33435/43904, X1: 11/7, M1: 1, M2: 5/7, M3: 9/7, M4: 3/7, M5: 11/14, M6: 11/14, q1: 9/28, q2: 19/28, qb1: 11/28, qb2: 25/28, phi1: 3/7}

Relevant Operators	Marginal Operators	$n_{marginal}$$-$$|F_{IR}|$	Superconformal Index	Refined index
${}M_{2}$, ${ }M_{6}$, ${ }M_{5}$, ${ }\phi_{1}^{2}$, ${ }M_{1}$, ${ }q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{3}$, ${ }M_{2}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }M_{2}M_{6}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{2}M_{5}$, ${ }M_{5}^{2}$, ${ }M_{5}M_{6}$, ${ }M_{6}^{2}$, ${ }M_{2}\phi_{1}^{2}$, ${ }X_{1}$, ${ }M_{6}^{2}$, ${ }M_{5}^{2}$, ${ }M_{6}\phi_{1}^{2}$, ${ }M_{5}\phi_{1}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{1}M_{2}$, ${ }\phi_{1}^{4}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{1}M_{6}$, ${ }\phi_{1}q_{2}^{2}$, ${ }M_{1}M_{5}$, ${ }M_{2}\phi_{1}q_{1}^{2}$, ${ }M_{1}\phi_{1}^{2}$, ${ }M_{5}\phi_{1}q_{1}^{2}$, ${ }M_{6}\phi_{1}q_{1}^{2}$, ${ }M_{5}q_{2}\tilde{q}_{1}$, ${ }M_{6}q_{2}\tilde{q}_{1}$, ${ }M_{6}q_{2}\tilde{q}_{1}$, ${ }M_{5}\phi_{1}q_{1}^{2}$, ${ }M_{6}\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{3}q_{1}^{2}$, ${ }M_{5}\phi_{1}q_{1}\tilde{q}_{1}$	${}\phi_{1}^{3}q_{1}\tilde{q}_{1}$	0	t^2.143 + 2*t^2.357 + t^2.571 + t^3. + 2*t^3.214 + t^3.429 + t^3.857 + t^4.286 + 2*t^4.5 + 5*t^4.714 + 2*t^4.929 + 2*t^5.143 + 4*t^5.357 + 5*t^5.571 + 2*t^5.786 + 2*t^6.214 + 4*t^6.429 + 2*t^6.643 + 3*t^6.857 + 6*t^7.071 + 4*t^7.286 + 4*t^7.5 + 9*t^7.714 + 8*t^7.929 + 2*t^8.143 - 2*t^8.357 + 6*t^8.571 + 4*t^8.786 - t^4.286/y - (2*t^6.643)/y - t^6.857/y + (2*t^7.5)/y + (3*t^7.714)/y + (4*t^7.929)/y + t^8.143/y + (4*t^8.357)/y + (6*t^8.571)/y + (4*t^8.786)/y - t^4.286*y - 2*t^6.643*y - t^6.857*y + 2*t^7.5*y + 3*t^7.714*y + 4*t^7.929*y + t^8.143*y + 4*t^8.357*y + 6*t^8.571*y + 4*t^8.786*y	t^2.143 + t^2.357/g1^2 + g1^2*t^2.357 + t^2.571 + t^3. + t^3.214/g1^2 + g1^2*t^3.214 + t^3.429 + t^3.857 + t^4.286 + t^4.5/g1^2 + g1^2*t^4.5 + 3*t^4.714 + t^4.714/g1^4 + g1^4*t^4.714 + t^4.929/g1^2 + g1^2*t^4.929 + 2*t^5.143 + (2*t^5.357)/g1^2 + 2*g1^2*t^5.357 + 3*t^5.571 + t^5.571/g1^4 + g1^4*t^5.571 + t^5.786/g1^2 + g1^2*t^5.786 + t^6.214/g1^2 + g1^2*t^6.214 + 2*t^6.429 + t^6.429/g1^4 + g1^4*t^6.429 + t^6.643/g1^2 + g1^2*t^6.643 + t^6.857 + t^6.857/g1^4 + g1^4*t^6.857 + t^7.071/g1^6 + (2*t^7.071)/g1^2 + 2*g1^2*t^7.071 + g1^6*t^7.071 + 2*t^7.286 + t^7.286/g1^4 + g1^4*t^7.286 + (2*t^7.5)/g1^2 + 2*g1^2*t^7.5 + 5*t^7.714 + (2*t^7.714)/g1^4 + 2*g1^4*t^7.714 + t^7.929/g1^6 + (3*t^7.929)/g1^2 + 3*g1^2*t^7.929 + g1^6*t^7.929 + t^8.143/g1^4 + g1^4*t^8.143 - t^8.357/g1^2 - g1^2*t^8.357 + 2*t^8.571 + (2*t^8.571)/g1^4 + 2*g1^4*t^8.571 + t^8.786/g1^6 + t^8.786/g1^2 + g1^2*t^8.786 + g1^6*t^8.786 - t^4.286/y - t^6.643/(g1^2*y) - (g1^2*t^6.643)/y - t^6.857/y + t^7.5/(g1^2*y) + (g1^2*t^7.5)/y + (3*t^7.714)/y + (2*t^7.929)/(g1^2*y) + (2*g1^2*t^7.929)/y + t^8.143/y + (2*t^8.357)/(g1^2*y) + (2*g1^2*t^8.357)/y + (4*t^8.571)/y + t^8.571/(g1^4*y) + (g1^4*t^8.571)/y + (2*t^8.786)/(g1^2*y) + (2*g1^2*t^8.786)/y - t^4.286*y - (t^6.643*y)/g1^2 - g1^2*t^6.643*y - t^6.857*y + (t^7.5*y)/g1^2 + g1^2*t^7.5*y + 3*t^7.714*y + (2*t^7.929*y)/g1^2 + 2*g1^2*t^7.929*y + t^8.143*y + (2*t^8.357*y)/g1^2 + 2*g1^2*t^8.357*y + 4*t^8.571*y + (t^8.571*y)/g1^4 + g1^4*t^8.571*y + (2*t^8.786*y)/g1^2 + 2*g1^2*t^8.786*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
3792	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}^{2}$ + ${ }M_{2}M_{3}$ + ${ }\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{4}X_{1}$ + ${ }M_{5}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{7}\phi_{1}^{2}$	0.5883	0.74	0.7949	[X:[1.5714], M:[1.0, 0.7143, 1.2857, 0.4286, 0.7857, 0.7857, 1.1429], q:[0.3214, 0.6786], qb:[0.3929, 0.8929], phi:[0.4286]]	t^2.143 + 2*t^2.357 + t^3. + 2*t^3.214 + 2*t^3.429 + t^3.857 + t^4.286 + 2*t^4.5 + 4*t^4.714 + t^5.143 + 4*t^5.357 + 5*t^5.571 + 2*t^5.786 - t^6. - t^4.286/y - t^4.286*y	detail	{a: 25827/43904, c: 32491/43904, X1: 11/7, M1: 1, M2: 5/7, M3: 9/7, M4: 3/7, M5: 11/14, M6: 11/14, M7: 8/7, q1: 9/28, q2: 19/28, qb1: 11/28, qb2: 25/28, phi1: 3/7}

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
2810	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}^{2}$ + ${ }M_{2}M_{3}$ + ${ }\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{4}X_{1}$ + ${ }M_{5}\phi_{1}\tilde{q}_{1}^{2}$	0.5843	0.7335	0.7966	[X:[1.5714], M:[1.0, 0.7143, 1.2857, 0.4286, 0.7557], q:[0.3064, 0.6936], qb:[0.4079, 0.8779], phi:[0.4286]]	t^2.143 + t^2.267 + t^2.571 + t^3. + t^3.124 + t^3.304 + t^3.429 + t^3.553 + t^3.857 + t^4.286 + t^4.41 + t^4.534 + 2*t^4.714 + t^4.839 + 2*t^5.143 + 2*t^5.267 + t^5.391 + t^5.447 + 2*t^5.571 + 2*t^5.696 + t^5.82 - t^4.286/y - t^4.286*y	detail