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
48302	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{3}^{2}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{1}X_{1}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{2}X_{2}$	0.6128	0.7847	0.781	[X:[1.375, 1.3333], M:[0.625, 0.6667, 1.0, 0.7083, 0.8333], q:[0.7708, 0.6042], qb:[0.5625, 0.2292], phi:[0.4583]]	[X:[[-6], [16]], M:[[6], [-16], [0], [10], [-8]], q:[[1], [-7]], qb:[[15], [-1]], phi:[[-2]]]		{a: 1255/2048, c: 1607/2048, X1: 11/8, X2: 4/3, M1: 5/8, M2: 2/3, M3: 1, M4: 17/24, M5: 5/6, q1: 37/48, q2: 29/48, qb1: 9/16, qb2: 11/48, phi1: 11/24}

Relevant Operators	Marginal Operators	$n_{marginal}$$-$$|F_{IR}|$	Superconformal Index	Refined index
${}M_{4}$, ${ }\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{5}$, ${ }q_{2}\tilde{q}_{2}$, ${ }\phi_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{3}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }X_{2}$, ${ }X_{1}$, ${ }M_{4}^{2}$, ${ }M_{4}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{4}M_{5}$, ${ }M_{4}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\tilde{q}_{1}^{2}\tilde{q}_{2}^{2}$, ${ }M_{4}\phi_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{5}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{4}\phi_{1}\tilde{q}_{2}^{2}$, ${ }q_{2}\tilde{q}_{1}\tilde{q}_{2}^{2}$, ${ }M_{5}^{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }M_{5}q_{2}\tilde{q}_{2}$, ${ }q_{2}^{2}\tilde{q}_{2}^{2}$, ${ }M_{3}M_{4}$, ${ }\phi_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}^{3}$, ${ }M_{5}\phi_{1}^{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$, ${ }M_{5}\phi_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}^{3}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{3}M_{5}$, ${ }\phi_{1}^{4}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }M_{3}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}^{3}\tilde{q}_{2}^{2}$, ${ }\phi_{1}^{2}\tilde{q}_{2}^{4}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{3}\phi_{1}\tilde{q}_{2}^{2}$	${}$	-3	t^2.125 + t^2.375 + 2*t^2.5 + 2*t^2.75 + t^3. + t^3.75 + t^4. + t^4.125 + t^4.25 + t^4.5 + 2*t^4.625 + 2*t^4.75 + 4*t^4.875 + 3*t^5. + 3*t^5.125 + 4*t^5.25 + t^5.375 + 5*t^5.5 + t^5.75 - 3*t^6. + t^6.125 + t^6.25 + t^6.375 + 3*t^6.5 + 2*t^6.625 + 3*t^6.75 + 2*t^6.875 + 3*t^7. + 4*t^7.125 + 5*t^7.25 + 4*t^7.375 + 8*t^7.5 + 6*t^7.625 + 7*t^7.75 + 5*t^7.875 + 8*t^8. - 2*t^8.125 + 6*t^8.25 - 4*t^8.375 - 3*t^8.5 - t^8.625 - 5*t^8.75 + 3*t^8.875 - t^4.375/y - t^6.5/y - t^6.875/y - t^7.125/y + t^7.5/y + (3*t^7.625)/y + (5*t^7.875)/y + t^8./y + (3*t^8.125)/y + (5*t^8.25)/y + t^8.375/y + (3*t^8.5)/y - t^8.625/y + (2*t^8.75)/y + t^8.875/y - t^4.375*y - t^6.5*y - t^6.875*y - t^7.125*y + t^7.5*y + 3*t^7.625*y + 5*t^7.875*y + t^8.*y + 3*t^8.125*y + 5*t^8.25*y + t^8.375*y + 3*t^8.5*y - t^8.625*y + 2*t^8.75*y + t^8.875*y	g1^10*t^2.125 + g1^14*t^2.375 + (2*t^2.5)/g1^8 + (2*t^2.75)/g1^4 + t^3. + g1^12*t^3.75 + g1^16*t^4. + t^4.125/g1^6 + g1^20*t^4.25 + g1^24*t^4.5 + 2*g1^2*t^4.625 + 2*g1^28*t^4.75 + 4*g1^6*t^4.875 + (3*t^5.)/g1^16 + 3*g1^10*t^5.125 + (4*t^5.25)/g1^12 + g1^14*t^5.375 + (5*t^5.5)/g1^8 + t^5.75/g1^4 - 3*t^6. - t^6.125/g1^22 + 2*g1^26*t^6.125 + g1^4*t^6.25 - t^6.375/g1^18 + 2*g1^30*t^6.375 + 3*g1^8*t^6.5 + t^6.625/g1^14 + g1^34*t^6.625 + 3*g1^12*t^6.75 + 2*g1^38*t^6.875 + 3*g1^16*t^7. + (2*t^7.125)/g1^6 + 2*g1^42*t^7.125 + 5*g1^20*t^7.25 + (4*t^7.375)/g1^2 + (3*t^7.5)/g1^24 + 5*g1^24*t^7.5 + 6*g1^2*t^7.625 + (5*t^7.75)/g1^20 + 2*g1^28*t^7.75 + 5*g1^6*t^7.875 + (8*t^8.)/g1^16 - 2*g1^10*t^8.125 + (5*t^8.25)/g1^12 + g1^36*t^8.25 - 4*g1^14*t^8.375 - (7*t^8.5)/g1^8 + 4*g1^40*t^8.5 - t^8.625/g1^30 - (8*t^8.75)/g1^4 + 3*g1^44*t^8.75 - (3*t^8.875)/g1^26 + 6*g1^22*t^8.875 - t^4.375/(g1^2*y) - (g1^8*t^6.5)/y - t^6.875/(g1^10*y) - t^7.125/(g1^6*y) + (g1^24*t^7.5)/y + (3*g1^2*t^7.625)/y + (5*g1^6*t^7.875)/y + t^8./(g1^16*y) + (3*g1^10*t^8.125)/y + (5*t^8.25)/(g1^12*y) + (g1^14*t^8.375)/y + (3*t^8.5)/(g1^8*y) - (g1^18*t^8.625)/y + (2*t^8.75)/(g1^4*y) + (g1^22*t^8.875)/y - (t^4.375*y)/g1^2 - g1^8*t^6.5*y - (t^6.875*y)/g1^10 - (t^7.125*y)/g1^6 + g1^24*t^7.5*y + 3*g1^2*t^7.625*y + 5*g1^6*t^7.875*y + (t^8.*y)/g1^16 + 3*g1^10*t^8.125*y + (5*t^8.25*y)/g1^12 + g1^14*t^8.375*y + (3*t^8.5*y)/g1^8 - g1^18*t^8.625*y + (2*t^8.75*y)/g1^4 + g1^22*t^8.875*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
56004	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{3}^{2}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{1}X_{1}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{2}X_{2}$ + ${ }M_{6}\phi_{1}^{2}$	0.6053	0.7727	0.7834	[X:[1.3794, 1.3216], M:[0.6206, 0.6784, 1.0, 0.701, 0.8392, 1.0804], q:[0.7701, 0.6093], qb:[0.5515, 0.2299], phi:[0.4598]]	t^2.103 + t^2.344 + 2*t^2.518 + t^2.759 + t^3. + t^3.241 + t^3.724 + t^3.965 + t^4.138 + t^4.206 + t^4.447 + 2*t^4.621 + 2*t^4.689 + 3*t^4.862 + 3*t^5.035 + 2*t^5.103 + 2*t^5.276 + 2*t^5.344 + 3*t^5.518 + t^5.586 + 2*t^5.759 - 2*t^6. - t^4.379/y - t^4.379*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
46729	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{3}^{2}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{1}X_{1}$	0.6196	0.8021	0.7724	[X:[1.3806], M:[0.6194, 0.6815, 1.0, 0.6991], q:[0.7699, 0.6106], qb:[0.5486, 0.2301], phi:[0.4602]]	t^2.044 + t^2.097 + t^2.336 + t^2.522 + 2*t^2.761 + t^3. + t^3.478 + t^3.717 + t^4.089 + 2*t^4.142 + t^4.194 + t^4.381 + t^4.433 + t^4.567 + t^4.619 + 2*t^4.672 + 2*t^4.806 + 3*t^4.858 + 2*t^5.044 + 3*t^5.097 + 2*t^5.283 + t^5.336 + 5*t^5.522 + t^5.575 + 2*t^5.761 + t^5.814 - 2*t^6. - t^4.381/y - t^4.381*y	detail