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
58407	SU3adj1nf2	${}M_{1}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }M_{2}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\phi_{1}^{3}$ + ${ }M_{2}^{2}$ + ${ }q_{2}\tilde{q}_{2}X_{2}$	1.3457	1.5553	0.8652	[X:[1.2546, 1.3727], M:[0.8634, 1.0, 0.8819], q:[0.5683, 0.3137], qb:[0.5683, 0.3137], phi:[0.3727]]	[X:[[0, 0, -2], [0, 0, 1]], M:[[0, 0, 5], [0, 0, 0], [0, 0, -3]], q:[[-1, 0, -5], [0, -1, -1]], qb:[[1, 0, 0], [0, 1, 0]], phi:[[0, 0, 1]]]	3

Relevant Operators	Marginal Operators	$n_{marginal}$$-$$|F_{IR}|$	Superconformal Index	Refined index
${}M_{1}$, ${ }q_{1}\tilde{q}_{2}$, ${ }M_{3}$, ${ }M_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }X_{1}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$, ${ }X_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}q_{2}^{2}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{2}$, ${ }M_{1}^{2}$, ${ }M_{1}M_{3}$, ${ }q_{1}^{2}\tilde{q}_{2}^{2}$, ${ }M_{3}q_{1}\tilde{q}_{2}$, ${ }M_{3}^{2}$, ${ }q_{1}q_{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}^{2}q_{2}$, ${ }M_{1}M_{2}$, ${ }M_{2}q_{1}\tilde{q}_{2}$, ${ }M_{2}M_{3}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{1}q_{2}^{2}$	${}$	-3	t^2.59 + 3*t^2.65 + t^3. + 3*t^3.76 + 2*t^4.12 + t^4.53 + 2*t^4.7 + 2*t^4.88 + t^5.18 + t^5.24 + 6*t^5.29 + 2*t^5.47 + t^5.59 + 4*t^5.65 + 2*t^5.82 - 3*t^6. + 2*t^6.18 + t^6.35 + 9*t^6.41 + 2*t^6.59 + 2*t^6.71 + 6*t^6.76 + 3*t^7.17 + 6*t^7.35 + 10*t^7.53 + 2*t^7.7 + t^7.77 + t^7.83 + 5*t^7.88 + 10*t^7.94 - 4*t^8.06 + 6*t^8.11 + t^8.18 + 3*t^8.24 + 11*t^8.29 + 12*t^8.47 - 2*t^8.59 - 3*t^8.65 + 2*t^8.77 + 2*t^8.82 + t^8.94 - t^4.12/y - t^5.24/y - t^6.71/y - (3*t^6.76)/y - t^7.83/y - (3*t^7.88)/y + t^8.24/y + (3*t^8.29)/y + t^8.59/y + (3*t^8.65)/y - t^4.12*y - t^5.24*y - t^6.71*y - 3*t^6.76*y - t^7.83*y - 3*t^7.88*y + t^8.24*y + 3*t^8.29*y + t^8.59*y + 3*t^8.65*y	g3^5*t^2.59 + (g2*t^2.65)/(g1*g3^5) + t^2.65/g3^3 + (g1*t^2.65)/(g2*g3) + t^3. + (g1*t^3.76)/g2 + (g2*t^3.76)/(g1*g3^4) + t^3.76/g3^2 + 2*g3*t^4.12 + t^4.53/g3^4 + t^4.7/(g1*g2^2*g3^6) + g1*g2^2*g3*t^4.7 + (g2*t^4.88)/(g1*g3^3) + (g1*g3*t^4.88)/g2 + g3^10*t^5.18 + g3^2*t^5.24 + (g2^2*t^5.29)/(g1^2*g3^10) + (g2*t^5.29)/(g1*g3^8) + (2*t^5.29)/g3^6 + (g1*t^5.29)/(g2*g3^4) + (g1^2*t^5.29)/(g2^2*g3^2) + t^5.47/(g1^2*g2*g3^10) + g1^2*g2*g3*t^5.47 + g3^5*t^5.59 + (g2*t^5.65)/(g1*g3^5) + (2*t^5.65)/g3^3 + (g1*t^5.65)/(g2*g3) + t^5.82/(g1*g2^2*g3^5) + g1*g2^2*g3^2*t^5.82 - 3*t^6. + t^6.18/g2^3 + g2^3*g3^3*t^6.18 + g3^3*t^6.35 + (g2^2*t^6.41)/(g1^2*g3^9) + (2*g2*t^6.41)/(g1*g3^7) + (3*t^6.41)/g3^5 + (2*g1*t^6.41)/(g2*g3^3) + (g1^2*t^6.41)/(g2^2*g3) + t^6.59/(g1^2*g2*g3^9) + g1^2*g2*g3^2*t^6.59 + 2*g3^6*t^6.71 + (2*g1*t^6.76)/g2 + (2*g2*t^6.76)/(g1*g3^4) + (2*t^6.76)/g3^2 - t^6.94/(g1^2*g2*g3^6) + t^6.94/(g1*g2^2*g3^4) + g1*g2^2*g3^3*t^6.94 - g1^2*g2*g3^5*t^6.94 + (g2*t^7.17)/(g1*g3^9) + t^7.17/g3^7 + (g1*t^7.17)/(g2*g3^5) + g1^2*g2*t^7.35 + t^7.35/(g1^2*g2*g3^11) + t^7.35/(g1*g2^2*g3^9) + t^7.35/(g2^3*g3^7) + (g2^3*t^7.35)/g3^4 + (g1*g2^2*t^7.35)/g3^2 + (2*g1^2*t^7.53)/g2^2 + (2*g2^2*t^7.53)/(g1^2*g3^8) + (g2*t^7.53)/(g1*g3^6) + (4*t^7.53)/g3^4 + (g1*t^7.53)/(g2*g3^2) + t^7.7/(g1^2*g2*g3^8) + g1^2*g2*g3^3*t^7.7 + g3^15*t^7.77 + g3^7*t^7.83 + (2*g2*t^7.88)/(g1*g3^3) + t^7.88/g3 + (2*g1*g3*t^7.88)/g2 + (g2^3*t^7.94)/(g1^3*g3^15) + (g2^2*t^7.94)/(g1^2*g3^13) + (2*g2*t^7.94)/(g1*g3^11) + (2*t^7.94)/g3^9 + (2*g1*t^7.94)/(g2*g3^7) + (g1^2*t^7.94)/(g2^2*g3^5) + (g1^3*t^7.94)/(g2^3*g3^3) - t^8.06/(g1^2*g2*g3^5) - t^8.06/(g2^3*g3) - g2^3*g3^2*t^8.06 - g1^2*g2*g3^6*t^8.06 + g1^3*t^8.11 + t^8.11/(g1^3*g3^15) + t^8.11/(g1^2*g2*g3^13) + t^8.11/(g1*g2^2*g3^11) + (g1*g2^2*t^8.11)/g3^4 + (g1^2*g2*t^8.11)/g3^2 + g3^10*t^8.18 + 3*g3^2*t^8.24 + (g2^2*t^8.29)/(g1^2*g3^10) + (3*g2*t^8.29)/(g1*g3^8) + (3*t^8.29)/g3^6 + (3*g1*t^8.29)/(g2*g3^4) + (g1^2*t^8.29)/(g2^2*g3^2) + t^8.47/(g1^3*g3^12) + (2*t^8.47)/(g1^2*g2*g3^10) + t^8.47/(g1*g2^2*g3^8) + (2*t^8.47)/(g2^3*g3^6) + (2*g2^3*t^8.47)/g3^3 + (g1*g2^2*t^8.47)/g3 + 2*g1^2*g2*g3*t^8.47 + g1^3*g3^3*t^8.47 - 2*g3^5*t^8.59 + (g2^2*t^8.65)/(g1^2*g3^7) - (3*g2*t^8.65)/(g1*g3^5) + t^8.65/g3^3 - (3*g1*t^8.65)/(g2*g3) + (g1^2*g3*t^8.65)/g2^2 + (g3^5*t^8.77)/g2^3 + g2^3*g3^8*t^8.77 - t^8.82/(g1^3*g3^9) + t^8.82/(g1*g2^2*g3^5) + (g2^4*t^8.82)/(g1*g3^2) + (g1*t^8.82)/(g2^4*g3) + g1*g2^2*g3^2*t^8.82 - g1^3*g3^6*t^8.82 + g3^8*t^8.94 - (g3*t^4.12)/y - (g3^2*t^5.24)/y - (g3^6*t^6.71)/y - (g1*t^6.76)/(g2*y) - (g2*t^6.76)/(g1*g3^4*y) - t^6.76/(g3^2*y) - (g3^7*t^7.83)/y - (g2*t^7.88)/(g1*g3^3*y) - t^7.88/(g3*y) - (g1*g3*t^7.88)/(g2*y) + (g2*t^8.24)/(g1*y) - (g3^2*t^8.24)/y + (g1*g3^4*t^8.24)/(g2*y) + (g2*t^8.29)/(g1*g3^8*y) + t^8.29/(g3^6*y) + (g1*t^8.29)/(g2*g3^4*y) + (g3^5*t^8.59)/y + (g2*t^8.65)/(g1*g3^5*y) + t^8.65/(g3^3*y) + (g1*t^8.65)/(g2*g3*y) - g3*t^4.12*y - g3^2*t^5.24*y - g3^6*t^6.71*y - (g1*t^6.76*y)/g2 - (g2*t^6.76*y)/(g1*g3^4) - (t^6.76*y)/g3^2 - g3^7*t^7.83*y - (g2*t^7.88*y)/(g1*g3^3) - (t^7.88*y)/g3 - (g1*g3*t^7.88*y)/g2 + (g2*t^8.24*y)/g1 - g3^2*t^8.24*y + (g1*g3^4*t^8.24*y)/g2 + (g2*t^8.29*y)/(g1*g3^8) + (t^8.29*y)/g3^6 + (g1*t^8.29*y)/(g2*g3^4) + g3^5*t^8.59*y + (g2*t^8.65*y)/(g1*g3^5) + (t^8.65*y)/g3^3 + (g1*t^8.65*y)/(g2*g3)

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

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
57360	SU3adj1nf2	${}M_{1}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }M_{2}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\phi_{1}^{3}$	1.4756	1.686	0.8752	[X:[1.3266], M:[0.981, 0.7025, 0.9899], q:[0.5095, 0.4804], qb:[0.5095, 0.4804], phi:[0.3367]]	t^2.107 + t^2.882 + t^2.943 + 3*t^2.97 + 3*t^3.98 + t^4.067 + t^4.215 + t^4.903 + 3*t^4.99 + t^5.051 + 4*t^5.077 + 2*t^5.421 + 2*t^5.508 + t^5.765 + t^5.825 + 3*t^5.852 + t^5.886 + t^5.913 + 6*t^5.939 - 4*t^6. - t^4.01/y - t^5.02/y - t^4.01*y - t^5.02*y	detail