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
47914	SU3adj1nf2	${}q_{1}^{2}\tilde{q}_{1}^{2}$ + ${ }M_{1}\phi_{1}q_{2}\tilde{q}_{2}$	1.4949	1.7247	0.8668	[M:[0.6769], q:[0.5, 0.4939], qb:[0.5, 0.4939], phi:[0.3354]]	[M:[[-5, 0, -5]], q:[[0, -1, 0], [6, 0, 0]], qb:[[0, 1, 0], [0, 0, 6]], phi:[[-1, 0, -1]]]	3

Relevant Operators	Marginal Operators	$n_{marginal}$$-$$|F_{IR}|$	Superconformal Index	Refined index
${}\phi_{1}^{2}$, ${ }M_{1}$, ${ }q_{2}\tilde{q}_{2}$, ${ }q_{2}\tilde{q}_{1}$, ${ }q_{1}\tilde{q}_{2}$, ${ }q_{1}\tilde{q}_{1}$, ${ }\phi_{1}^{3}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}^{4}$, ${ }M_{1}\phi_{1}^{2}$, ${ }M_{1}^{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$, ${ }M_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{2}$, ${ }M_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{1}$, ${ }M_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{5}$, ${ }M_{1}q_{1}\tilde{q}_{1}$, ${ }M_{1}\phi_{1}^{3}$, ${ }\phi_{1}q_{1}q_{2}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}q_{1}^{2}q_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}\tilde{q}_{2}$, ${ }q_{2}^{2}\tilde{q}_{2}^{2}$, ${ }q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{1}q_{2}\tilde{q}_{2}^{2}$, ${ }q_{2}^{2}\tilde{q}_{1}^{2}$, ${ }q_{1}q_{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{1}^{2}\tilde{q}_{2}^{2}$, ${ }\phi_{1}^{3}q_{2}\tilde{q}_{2}$	${2}\phi_{1}^{3}q_{2}\tilde{q}_{1}$, ${ 2}\phi_{1}^{3}q_{1}\tilde{q}_{2}$	1	t^2.012 + t^2.031 + t^2.963 + 2*t^2.982 + t^3. + t^3.018 + 2*t^3.988 + t^4.006 + t^4.025 + t^4.043 + t^4.061 + 2*t^4.975 + 5*t^4.994 + 4*t^5.012 + 2*t^5.031 + t^5.049 + 2*t^5.469 + 2*t^5.488 + t^5.926 + 2*t^5.945 + 4*t^5.963 + t^5.982 + t^6. + 2*t^6.018 + 3*t^6.037 + t^6.055 + t^6.074 + t^6.092 + 2*t^6.475 + 2*t^6.494 + 2*t^6.951 + 5*t^6.969 + 4*t^6.988 + 6*t^7.006 + 6*t^7.025 + 5*t^7.043 + 2*t^7.061 + t^7.08 + 2*t^7.463 + 2*t^7.482 + 4*t^7.5 + 4*t^7.518 + 2*t^7.939 + 6*t^7.957 + 12*t^7.975 + 9*t^7.994 + 4*t^8.012 + 4*t^8.049 + 3*t^8.068 + t^8.086 + t^8.104 + t^8.123 + 2*t^8.432 + 6*t^8.451 + 4*t^8.469 + t^8.889 + 2*t^8.908 + 4*t^8.926 + 5*t^8.945 + t^8.963 + 3*t^8.982 - t^4.006/y - t^5.012/y - t^6.018/y - t^6.037/y - t^6.969/y - (2*t^6.988)/y - t^7.006/y - (2*t^7.025)/y + t^7.975/y + (2*t^7.994)/y + (2*t^8.012)/y - t^8.068/y + (2*t^8.945)/y + (2*t^8.963)/y + (2*t^8.982)/y - t^4.006*y - t^5.012*y - t^6.018*y - t^6.037*y - t^6.969*y - 2*t^6.988*y - t^7.006*y - 2*t^7.025*y + t^7.975*y + 2*t^7.994*y + 2*t^8.012*y - t^8.068*y + 2*t^8.945*y + 2*t^8.963*y + 2*t^8.982*y	t^2.012/(g1^2*g3^2) + t^2.031/(g1^5*g3^5) + g1^6*g3^6*t^2.963 + g1^6*g2*t^2.982 + (g3^6*t^2.982)/g2 + t^3. + t^3.018/(g1^3*g3^3) + (g1^5*g2*t^3.988)/g3 + (g3^5*t^3.988)/(g1*g2) + t^4.006/(g1*g3) + t^4.025/(g1^4*g3^4) + t^4.043/(g1^7*g3^7) + t^4.061/(g1^10*g3^10) + 2*g1^4*g3^4*t^4.975 + (2*g1^4*g2*t^4.994)/g3^2 + g1*g3*t^4.994 + (2*g3^4*t^4.994)/(g1^2*g2) + (g1*g2*t^5.012)/g3^5 + (2*t^5.012)/(g1^2*g3^2) + (g3*t^5.012)/(g1^5*g2) + (2*t^5.031)/(g1^5*g3^5) + t^5.049/(g1^8*g3^8) + (g1^11*t^5.469)/(g2*g3) + (g2*g3^11*t^5.469)/g1 + (g1^5*t^5.488)/(g2^2*g3) + (g2^2*g3^5*t^5.488)/g1 + g1^12*g3^12*t^5.926 + g1^12*g2*g3^6*t^5.945 + (g1^6*g3^12*t^5.945)/g2 + g1^12*g2^2*t^5.963 + 2*g1^6*g3^6*t^5.963 + (g3^12*t^5.963)/g2^2 + g1^3*g3^3*t^5.982 - 3*t^6. + (2*g1^3*g2*t^6.)/g3^3 + (2*g3^3*t^6.)/(g1^3*g2) + (2*t^6.018)/(g1^3*g3^3) + (3*t^6.037)/(g1^6*g3^6) + t^6.055/(g1^9*g3^9) + t^6.074/(g1^12*g3^12) + t^6.092/(g1^15*g3^15) + (g1^10*t^6.475)/(g2*g3^2) + (g2*g3^10*t^6.475)/g1^2 + (g1^4*t^6.494)/(g2^2*g3^2) + (g2^2*g3^4*t^6.494)/g1^2 + g1^11*g2*g3^5*t^6.951 + (g1^5*g3^11*t^6.951)/g2 + (g1^11*g2^2*t^6.969)/g3 + 3*g1^5*g3^5*t^6.969 + (g3^11*t^6.969)/(g1*g2^2) + (g1^5*g2*t^6.988)/g3 + 2*g1^2*g3^2*t^6.988 + (g3^5*t^6.988)/(g1*g2) + (3*g1^2*g2*t^7.006)/g3^4 + (3*g3^2*t^7.006)/(g1^4*g2) + (g2*t^7.025)/(g1*g3^7) + (4*t^7.025)/(g1^4*g3^4) + t^7.025/(g1^7*g2*g3) + (g2*t^7.043)/(g1^4*g3^10) + (3*t^7.043)/(g1^7*g3^7) + t^7.043/(g1^10*g2*g3^4) + (2*t^7.061)/(g1^10*g3^10) + t^7.08/(g1^13*g3^13) + (g1^15*t^7.463)/g3^3 + (g3^15*t^7.463)/g1^3 - (g1^6*t^7.482)/g2^2 + (2*g1^9*t^7.482)/(g2*g3^3) - g2^2*g3^6*t^7.482 + (2*g2*g3^9*t^7.482)/g1^3 + (2*g1^3*t^7.5)/(g2^2*g3^3) + (2*g2^2*g3^3*t^7.5)/g1^3 + (g2^2*t^7.518)/g1^6 + t^7.518/(g2^2*g3^6) + t^7.518/(g1^3*g2^3*g3^3) + (g2^3*t^7.518)/(g1^3*g3^3) + 2*g1^10*g3^10*t^7.939 + 3*g1^10*g2*g3^4*t^7.957 + (3*g1^4*g3^10*t^7.957)/g2 + (3*g1^10*g2^2*t^7.975)/g3^2 + 6*g1^4*g3^4*t^7.975 + (3*g3^10*t^7.975)/(g1^2*g2^2) + (g1^7*g2^2*t^7.994)/g3^5 + (2*g1^4*g2*t^7.994)/g3^2 + 3*g1*g3*t^7.994 + (2*g3^4*t^7.994)/(g1^2*g2) + (g3^7*t^7.994)/(g1^5*g2^2) + (3*g1*g2*t^8.012)/g3^5 - (2*t^8.012)/(g1^2*g3^2) + (3*g3*t^8.012)/(g1^5*g2) + (4*t^8.049)/(g1^8*g3^8) + (3*t^8.068)/(g1^11*g3^11) + t^8.086/(g1^14*g3^14) + t^8.104/(g1^17*g3^17) + t^8.123/(g1^20*g3^20) + (g1^17*g3^5*t^8.432)/g2 + g1^5*g2*g3^17*t^8.432 + (g1^17*t^8.451)/g3 + (2*g1^11*g3^5*t^8.451)/g2^2 + 2*g1^5*g2^2*g3^11*t^8.451 + (g3^17*t^8.451)/g1 + (g1^11*t^8.469)/(g2*g3) + (g1^5*g3^5*t^8.469)/g2^3 + g1^5*g2^3*g3^5*t^8.469 + (g2*g3^11*t^8.469)/g1 - (g1^11*t^8.488)/g3^7 + (2*g1^8*t^8.488)/(g2*g3^4) - (g1^5*t^8.488)/(g2^2*g3) - (g2^2*g3^5*t^8.488)/g1 + (2*g2*g3^8*t^8.488)/g1^4 - (g3^11*t^8.488)/g1^7 - (g1^5*t^8.506)/(g2*g3^7) + (2*g1^2*t^8.506)/(g2^2*g3^4) - t^8.506/(g1*g2^3*g3) - (g2^3*t^8.506)/(g1*g3) + (2*g2^2*g3^2*t^8.506)/g1^4 - (g2*g3^5*t^8.506)/g1^7 + g1^18*g3^18*t^8.889 + g1^18*g2*g3^12*t^8.908 + (g1^12*g3^18*t^8.908)/g2 + g1^18*g2^2*g3^6*t^8.926 + 2*g1^12*g3^12*t^8.926 + (g1^6*g3^18*t^8.926)/g2^2 + g1^18*g2^3*t^8.945 + g1^12*g2*g3^6*t^8.945 + g1^9*g3^9*t^8.945 + (g1^6*g3^12*t^8.945)/g2 + (g3^18*t^8.945)/g2^3 + 3*g1^9*g2*g3^3*t^8.963 - 5*g1^6*g3^6*t^8.963 + (3*g1^3*g3^9*t^8.963)/g2 - 5*g1^6*g2*t^8.982 + (3*g1^9*g2^2*t^8.982)/g3^3 + 7*g1^3*g3^3*t^8.982 - (5*g3^6*t^8.982)/g2 + (3*g3^9*t^8.982)/(g1^3*g2^2) - t^4.006/(g1*g3*y) - t^5.012/(g1^2*g3^2*y) - t^6.018/(g1^3*g3^3*y) - t^6.037/(g1^6*g3^6*y) - (g1^5*g3^5*t^6.969)/y - (g1^5*g2*t^6.988)/(g3*y) - (g3^5*t^6.988)/(g1*g2*y) - t^7.006/(g1*g3*y) - (2*t^7.025)/(g1^4*g3^4*y) + (g1^4*g3^4*t^7.975)/y + (2*g1*g3*t^7.994)/y + (g1*g2*t^8.012)/(g3^5*y) + (g3*t^8.012)/(g1^5*g2*y) - t^8.068/(g1^11*g3^11*y) + (g1^12*g2*g3^6*t^8.945)/y + (g1^6*g3^12*t^8.945)/(g2*y) + (2*g1^6*g3^6*t^8.963)/y + (g1^6*g2*t^8.982)/y + (g3^6*t^8.982)/(g2*y) - (t^4.006*y)/(g1*g3) - (t^5.012*y)/(g1^2*g3^2) - (t^6.018*y)/(g1^3*g3^3) - (t^6.037*y)/(g1^6*g3^6) - g1^5*g3^5*t^6.969*y - (g1^5*g2*t^6.988*y)/g3 - (g3^5*t^6.988*y)/(g1*g2) - (t^7.006*y)/(g1*g3) - (2*t^7.025*y)/(g1^4*g3^4) + g1^4*g3^4*t^7.975*y + 2*g1*g3*t^7.994*y + (g1*g2*t^8.012*y)/g3^5 + (g3*t^8.012*y)/(g1^5*g2) - (t^8.068*y)/(g1^11*g3^11) + g1^12*g2*g3^6*t^8.945*y + (g1^6*g3^12*t^8.945*y)/g2 + 2*g1^6*g3^6*t^8.963*y + g1^6*g2*t^8.982*y + (g3^6*t^8.982*y)/g2

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
57469	${}q_{1}^{2}\tilde{q}_{1}^{2}$ + ${ }M_{1}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }q_{2}\tilde{q}_{2}X_{1}$	1.1888	1.412	0.8419	[X:[1.5714], M:[1.1429], q:[0.5, 0.2143], qb:[0.5, 0.2143], phi:[0.4286]]	2*t^2.14 + t^2.57 + t^3. + 3*t^3.43 + 2*t^3.86 + 2*t^4.07 + 4*t^4.29 + 5*t^4.71 + 2*t^4.93 + t^5.14 + 2*t^5.36 + 8*t^5.57 + 2*t^5.79 + 3*t^6. - t^4.29/y - t^5.57/y - t^4.29*y - t^5.57*y	detail	{a: 26097/21952, c: 30997/21952, X1: 11/7, M1: 8/7, q1: 1/2, q2: 3/14, qb1: 1/2, qb2: 3/14, phi1: 3/7}
57471	${}q_{1}^{2}\tilde{q}_{1}^{2}$ + ${ }M_{1}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{1}\phi_{1}^{3}$	1.4405	1.6827	0.8561	[X:[], M:[0.875], q:[0.5, 0.375], qb:[0.5, 0.375], phi:[0.375]]	2*t^2.25 + 3*t^2.62 + t^3. + t^3.38 + 2*t^3.75 + t^4.12 + 4*t^4.5 + 10*t^4.88 + 11*t^5.25 + 3*t^5.62 + 6*t^6. - t^4.12/y - t^5.25/y - t^4.12*y - t^5.25*y	detail	{a: 23601/16384, c: 27569/16384, M1: 7/8, q1: 1/2, q2: 3/8, qb1: 1/2, qb2: 3/8, phi1: 3/8}
57470	${}q_{1}^{2}\tilde{q}_{1}^{2}$ + ${ }M_{1}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }q_{1}\tilde{q}_{2}X_{1}$	1.348	1.5616	0.8633	[X:[1.354], M:[0.7701], q:[0.3455, 0.5754], qb:[0.6545, 0.3005], phi:[0.354]]	t^2.12 + t^2.31 + t^2.63 + 2*t^3. + t^3.19 + t^3.69 + 3*t^4.06 + t^4.25 + t^4.43 + t^4.62 + 3*t^4.75 + t^4.83 + t^4.86 + 3*t^5.12 + t^5.26 + 2*t^5.31 + t^5.5 + t^5.55 + 2*t^5.63 + 3*t^5.81 + 3*t^5.89 + t^5.92 - t^6. - t^4.06/y - t^5.12/y - t^4.06*y - t^5.12*y	detail
57472	${}q_{1}^{2}\tilde{q}_{1}^{2}$ + ${ }M_{1}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{3}$	1.4961	1.7283	0.8656	[X:[], M:[0.6973, 0.9816], q:[0.5, 0.4816], qb:[0.5, 0.4816], phi:[0.3395]]	t^2.04 + t^2.09 + t^2.89 + 3*t^2.94 + t^3. + 2*t^3.96 + t^4.02 + t^4.07 + t^4.13 + t^4.18 + 2*t^4.93 + 6*t^4.98 + 5*t^5.04 + t^5.09 + 2*t^5.41 + 2*t^5.46 + t^5.78 + 3*t^5.83 + 7*t^5.89 + t^5.94 - t^6. - t^4.02/y - t^5.04/y - t^4.02*y - t^5.04*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
47873	SU3adj1nf2	${}q_{1}^{2}\tilde{q}_{1}^{2}$	1.4741	1.6841	0.8753	[q:[0.5, 0.4923], qb:[0.5, 0.4923], phi:[0.3359]]	t^2.015 + t^2.954 + 2*t^2.977 + t^3. + t^3.023 + t^3.962 + 2*t^3.985 + t^4.008 + t^4.031 + 2*t^4.969 + 4*t^4.992 + 2*t^5.015 + t^5.038 + 2*t^5.462 + 2*t^5.485 + t^5.908 + 2*t^5.931 + 4*t^5.954 + 2*t^5.977 + t^6. - t^4.008/y - t^5.015/y - t^4.008*y - t^5.015*y	detail