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
57467	SU3adj1nf2	${}M_{1}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{1}$ + ${ }M_{1}\phi_{1}^{3}$	1.4549	1.6456	0.8841	[X:[1.331], M:[0.9966, 0.9669], q:[0.4833, 0.513], qb:[0.5201, 0.4767], phi:[0.3345]]	[X:[[0, 0, 2]], M:[[0, 0, 3], [-1, 1, -9]], q:[[-1, 0, -3], [0, -1, 9]], qb:[[1, 0, 0], [0, 1, 0]], phi:[[0, 0, -1]]]	3

Relevant Operators	Marginal Operators	$n_{marginal}$$-$$|F_{IR}|$	Superconformal Index	Refined index
${}q_{1}\tilde{q}_{2}$, ${ }M_{2}$, ${ }q_{2}\tilde{q}_{2}$, ${ }M_{1}$, ${ }\phi_{1}^{3}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }X_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}q_{1}^{2}q_{2}$, ${ }\phi_{1}q_{1}q_{2}^{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}\tilde{q}_{2}$, ${ }q_{1}^{2}\tilde{q}_{2}^{2}$, ${ }M_{2}q_{1}\tilde{q}_{2}$, ${ }M_{2}^{2}$, ${ }q_{1}q_{2}\tilde{q}_{2}^{2}$, ${ }M_{2}q_{2}\tilde{q}_{2}$, ${ }M_{1}M_{2}$, ${ }\phi_{1}^{3}q_{1}\tilde{q}_{2}$, ${ }q_{2}^{2}\tilde{q}_{2}^{2}$, ${ }M_{1}q_{2}\tilde{q}_{2}$, ${ }M_{1}^{2}$, ${ }\phi_{1}^{3}q_{2}\tilde{q}_{2}$	${}$	-3	t^2.88 + t^2.9 + t^2.97 + t^2.99 + t^3.01 + t^3.88 + t^3.97 + t^3.99 + t^4.01 + t^4.1 + t^4.89 + t^4.98 + t^5.02 + t^5.11 + t^5.42 + t^5.44 + t^5.53 + t^5.55 + t^5.76 + t^5.78 + t^5.8 + t^5.85 + t^5.87 + 2*t^5.89 + t^5.94 + t^5.96 + 2*t^5.98 - 3*t^6. + t^6.02 - t^6.09 - t^6.13 + t^6.43 + t^6.45 + t^6.53 + t^6.56 + t^6.76 + t^6.78 + 2*t^6.85 + 2*t^6.87 + 3*t^6.89 + t^6.94 + 2*t^6.96 + 4*t^6.98 + t^7.02 + t^7.07 + t^7.11 - t^7.13 + t^7.3 + t^7.36 + t^7.63 + t^7.69 + 2*t^7.77 + t^7.79 + 3*t^7.86 + t^7.88 + 3*t^7.9 + 2*t^7.95 + t^7.97 + 5*t^7.99 + 2*t^8.03 + 2*t^8.08 + 2*t^8.12 - t^8.14 + t^8.21 + t^8.3 + t^8.32 + t^8.39 + 2*t^8.41 + 2*t^8.43 - t^8.47 + t^8.5 + t^8.52 - t^8.56 - t^8.59 + t^8.64 - t^8.65 + t^8.66 - t^8.67 + t^8.68 + t^8.7 + t^8.73 + t^8.75 + 3*t^8.77 + t^8.79 + t^8.82 + t^8.84 + 4*t^8.86 - 3*t^8.88 + t^8.91 + t^8.93 + 3*t^8.95 - 3*t^8.97 + t^8.99 - t^4./y - t^5.01/y - t^6.88/y - t^6.9/y - t^6.97/y - t^6.99/y - t^7.01/y - t^7.89/y - t^7.91/y - t^7.98/y - t^8./y - t^8.02/y + t^8.78/y + t^8.85/y + (2*t^8.87)/y + t^8.89/y + t^8.91/y + t^8.96/y - t^4.*y - t^5.01*y - t^6.88*y - t^6.9*y - t^6.97*y - t^6.99*y - t^7.01*y - t^7.89*y - t^7.91*y - t^7.98*y - t^8.*y - t^8.02*y + t^8.78*y + t^8.85*y + 2*t^8.87*y + t^8.89*y + t^8.91*y + t^8.96*y	(g2*t^2.88)/(g1*g3^3) + (g2*t^2.9)/(g1*g3^9) + g3^9*t^2.97 + g3^3*t^2.99 + t^3.01/g3^3 + (g2*t^3.88)/(g1*g3^4) + g3^8*t^3.97 + g3^2*t^3.99 + t^4.01/g3^4 + (g1*g3^8*t^4.1)/g2 + (g2*t^4.89)/(g1*g3^5) + g3^7*t^4.98 + t^5.02/g3^5 + (g1*g3^7*t^5.11)/g2 + (g1*g2^2*t^5.42)/g3 + (g3^2*t^5.44)/(g1^2*g2) + (g3^14*t^5.53)/(g1*g2^2) + (g1^2*g2*t^5.55)/g3 + (g2^2*t^5.76)/(g1^2*g3^6) + (g2^2*t^5.78)/(g1^2*g3^12) + (g2^2*t^5.8)/(g1^2*g3^18) + (g2*g3^6*t^5.85)/g1 + (g2*t^5.87)/g1 + (2*g2*t^5.89)/(g1*g3^6) + g3^18*t^5.94 + g3^12*t^5.96 + 2*g3^6*t^5.98 - 3*t^6. + t^6.02/g3^6 - (g1*g3^12*t^6.09)/g2 - (g1*t^6.13)/g2 + (g1*g2^2*t^6.43)/g3^2 + (g3*t^6.45)/(g1^2*g2) + (g3^13*t^6.53)/(g1*g2^2) + (g1^2*g2*t^6.56)/g3^2 + (g2^2*t^6.76)/(g1^2*g3^7) + (g2^2*t^6.78)/(g1^2*g3^13) + (2*g2*g3^5*t^6.85)/g1 + (2*g2*t^6.87)/(g1*g3) + (3*g2*t^6.89)/(g1*g3^7) + g3^17*t^6.94 + 2*g3^11*t^6.96 + 4*g3^5*t^6.98 + t^7.02/g3^7 + (g1*g3^17*t^7.07)/g2 + (g1*g3^5*t^7.11)/g2 - (g1*t^7.13)/(g2*g3) + (g2^3*t^7.3)/g3^3 + t^7.36/(g1^3*g3^12) + (g1*g2^2*t^7.43)/g3^3 - (g3^6*t^7.43)/(g1^2*g2) + t^7.45/(g1^2*g2) - (g1*g2^2*t^7.45)/g3^9 - g1^2*g2*g3^3*t^7.54 + (g3^12*t^7.54)/(g1*g2^2) + (g1^2*g2*t^7.56)/g3^3 - (g3^6*t^7.56)/(g1*g2^2) + (g3^24*t^7.63)/g2^3 + (g1^3*t^7.69)/g3^3 + (2*g2^2*t^7.77)/(g1^2*g3^8) + (g2^2*t^7.79)/(g1^2*g3^14) + (3*g2*g3^4*t^7.86)/g1 + (g2*t^7.88)/(g1*g3^2) + (3*g2*t^7.9)/(g1*g3^8) + 2*g3^16*t^7.95 + g3^10*t^7.97 + 5*g3^4*t^7.99 + (2*t^8.03)/g3^8 + (2*g1*g3^16*t^8.08)/g2 + (2*g1*g3^4*t^8.12)/g2 - (g1*t^8.14)/(g2*g3^2) + (g1^2*g3^16*t^8.21)/g2^2 + (g2^3*t^8.3)/g3^4 + t^8.32/(g1^3*g3) + g1*g2^2*g3^8*t^8.39 + (2*g3^11*t^8.41)/(g1^2*g2) + (2*g1*g2^2*t^8.43)/g3^4 - (g1*g2^2*t^8.45)/g3^10 + t^8.45/(g1^2*g2*g3) - t^8.47/(g1^2*g2*g3^7) + (g3^23*t^8.5)/(g1*g2^2) + g1^2*g2*g3^8*t^8.52 - g1^2*g2*g3^2*t^8.54 + (g3^11*t^8.54)/(g1*g2^2) + (g1^2*g2*t^8.56)/g3^4 - (2*g3^5*t^8.56)/(g1*g2^2) - (g1^2*g2*t^8.59)/g3^10 + (g2^3*t^8.64)/(g1^3*g3^9) - (g3^17*t^8.65)/g2^3 + (g2^3*t^8.66)/(g1^3*g3^15) - g1^3*g3^2*t^8.67 + (g2^3*t^8.68)/(g1^3*g3^21) + (g2^3*t^8.7)/(g1^3*g3^27) + (g2^2*g3^3*t^8.73)/g1^2 + (g2^2*t^8.75)/(g1^2*g3^3) + (3*g2^2*t^8.77)/(g1^2*g3^9) + (g2^2*t^8.79)/(g1^2*g3^15) + (g2*g3^15*t^8.82)/g1 + (g2*g3^9*t^8.84)/g1 + (4*g2*g3^3*t^8.86)/g1 - (3*g2*t^8.88)/(g1*g3^3) + g3^27*t^8.91 + g3^21*t^8.93 + 3*g3^15*t^8.95 - 3*g3^9*t^8.97 + g3^3*t^8.99 - t^4./(g3*y) - t^5.01/(g3^2*y) - (g2*t^6.88)/(g1*g3^4*y) - (g2*t^6.9)/(g1*g3^10*y) - (g3^8*t^6.97)/y - (g3^2*t^6.99)/y - t^7.01/(g3^4*y) - (g2*t^7.89)/(g1*g3^5*y) - (g2*t^7.91)/(g1*g3^11*y) - (g3^7*t^7.98)/y - (g3*t^8.)/y - t^8.02/(g3^5*y) + (g2^2*t^8.78)/(g1^2*g3^12*y) + (g2*g3^6*t^8.85)/(g1*y) + (2*g2*t^8.87)/(g1*y) + (g2*t^8.89)/(g1*g3^6*y) + (g2*t^8.91)/(g1*g3^12*y) + (g3^12*t^8.96)/y - (t^4.*y)/g3 - (t^5.01*y)/g3^2 - (g2*t^6.88*y)/(g1*g3^4) - (g2*t^6.9*y)/(g1*g3^10) - g3^8*t^6.97*y - g3^2*t^6.99*y - (t^7.01*y)/g3^4 - (g2*t^7.89*y)/(g1*g3^5) - (g2*t^7.91*y)/(g1*g3^11) - g3^7*t^7.98*y - g3*t^8.*y - (t^8.02*y)/g3^5 + (g2^2*t^8.78*y)/(g1^2*g3^12) + (g2*g3^6*t^8.85*y)/g1 + (2*g2*t^8.87*y)/g1 + (g2*t^8.89*y)/(g1*g3^6) + (g2*t^8.91*y)/(g1*g3^12) + g3^12*t^8.96*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
59490	${}M_{1}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{1}$ + ${ }M_{1}\phi_{1}^{3}$ + ${ }M_{1}M_{3}$	1.4549	1.6441	0.885	[X:[1.3357], M:[1.0035, 0.9598, 0.9965], q:[0.48, 0.5238], qb:[0.5164, 0.4869], phi:[0.3322]]	t^2.88 + t^2.9 + 2*t^2.99 + t^3.03 + t^3.9 + t^3.99 + t^4.01 + t^4.03 + t^4.12 + t^4.89 + t^4.98 + t^5.02 + t^5.11 + t^5.45 + t^5.47 + t^5.56 + t^5.58 + t^5.76 + t^5.78 + t^5.8 + t^5.87 + 2*t^5.89 + t^5.93 + 3*t^5.98 - 4*t^6. - t^4./y - t^4.99/y - t^4.*y - t^4.99*y	detail
58633	${}M_{1}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{1}$ + ${ }M_{1}\phi_{1}^{3}$ + ${ }\phi_{1}q_{2}\tilde{q}_{2}$	1.1087	1.2354	0.8974	[X:[1.5], M:[1.25, 0.7226], q:[0.3704, 0.8978], qb:[0.3796, 0.8522], phi:[0.25]]	t^2.17 + t^2.25 + t^3. + t^3.67 + 2*t^3.75 + t^4.34 + t^4.42 + 2*t^4.5 + t^5.17 + 2*t^5.25 + 2*t^5.58 + 2*t^5.67 + t^5.84 + 2*t^5.92 - t^3.75/y - t^4.5/y - t^5.92/y - t^6./y - t^3.75*y - t^4.5*y - t^5.92*y - t^6.*y	detail
58808	${}M_{1}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{1}$ + ${ }M_{1}\phi_{1}^{3}$ + ${ }q_{1}^{2}\tilde{q}_{2}^{2}$	1.4532	1.6401	0.886	[X:[1.3353], M:[1.0029, 0.9941], q:[0.4971, 0.5059], qb:[0.5, 0.5029], phi:[0.3324]]	t^2.98 + t^2.99 + t^3. + t^3.01 + t^3.03 + t^3.99 + t^4. + 2*t^4.01 + t^4.02 + 2*t^4.99 + t^5.01 + t^5.02 + t^5.5 + 2*t^5.51 + t^5.52 + t^5.96 + 2*t^5.98 + t^5.99 - 2*t^6. - t^4./y - t^4.99/y - t^4.*y - t^4.99*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
47913	SU3adj1nf2	${}M_{1}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{1}$	1.4595	1.6464	0.8865	[X:[1.3609], M:[0.922, 0.922], q:[0.52, 0.52], qb:[0.558, 0.4848], phi:[0.3195]]	2*t^2.766 + t^2.876 + 2*t^3.015 + 2*t^3.973 + t^4.083 + 2*t^4.193 + 2*t^4.932 + 2*t^5.151 + 3*t^5.532 + t^5.542 + 2*t^5.639 + 2*t^5.642 + t^5.751 + t^5.761 + 3*t^5.781 + 2*t^5.89 - 6*t^6. - t^3.959/y - t^4.917/y - t^3.959*y - t^4.917*y	detail