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
57982	SU3adj1nf2	${}M_{1}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }\phi_{1}\tilde{q}_{1}^{2}\tilde{q}_{2}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$	1.4615	1.6465	0.8876	[X:[1.3886], M:[0.9074, 0.9267, 0.8728], q:[0.5099, 0.5444], qb:[0.5827, 0.5289], phi:[0.3057]]	[X:[[0, 0, 4]], M:[[1, 2, -12], [-1, -2, 0], [-1, 1, -1]], q:[[-1, -1, 11], [1, 0, 0]], qb:[[0, -1, 1], [0, 2, 0]], phi:[[0, 0, -2]]]	3

Relevant Operators	Marginal Operators	$n_{marginal}$$-$$|F_{IR}|$	Superconformal Index	Refined index
${}M_{3}$, ${ }M_{1}$, ${ }\phi_{1}^{3}$, ${ }M_{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }X_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$, ${ }M_{3}^{2}$, ${ }M_{1}M_{3}$, ${ }M_{3}\phi_{1}^{3}$, ${ }M_{2}M_{3}$, ${ }M_{1}^{2}$, ${ }M_{1}\phi_{1}^{3}$, ${ }M_{1}M_{2}$, ${ }\phi_{1}^{6}$, ${ }M_{2}\phi_{1}^{3}$, ${ }M_{2}^{2}$, ${ }\phi_{1}q_{1}^{2}q_{2}$, ${ }\phi_{1}q_{1}q_{2}^{2}$, ${ }M_{3}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}^{3}q_{1}\tilde{q}_{2}$	${}$	-3	t^2.62 + t^2.72 + t^2.75 + t^2.78 + t^3.12 + t^4.03 + t^4.14 + t^4.17 + t^4.19 + t^4.3 + t^4.95 + t^5.05 + t^5.11 + t^5.22 + t^5.24 + t^5.34 + t^5.37 + t^5.4 + t^5.44 + t^5.47 + 2*t^5.5 + t^5.53 + t^5.56 + t^5.61 + t^5.71 + t^5.73 + t^5.84 + t^5.87 - 3*t^6. - t^6.1 - t^6.16 + t^6.23 + t^6.53 + t^6.63 + t^6.65 + 2*t^6.76 + 2*t^6.78 + t^6.81 + t^6.86 + 2*t^6.89 + 2*t^6.92 + 2*t^6.95 + t^6.97 + t^7.05 + t^7.15 + t^7.25 + t^7.28 + t^7.31 + t^7.34 + t^7.44 + t^7.51 + t^7.55 + t^7.57 - t^7.58 + t^7.65 + 2*t^7.67 + t^7.73 + t^7.78 + 2*t^7.83 + 2*t^7.86 + t^7.89 + t^7.96 + t^7.97 + t^7.99 + t^8. + t^8.02 + t^8.06 + 2*t^8.07 + t^8.09 + 2*t^8.12 + t^8.15 + 3*t^8.17 + t^8.18 + t^8.2 + 2*t^8.22 + 2*t^8.23 + 2*t^8.25 + t^8.27 + 2*t^8.28 + t^8.31 + 3*t^8.33 + t^8.34 + t^8.35 + t^8.36 + t^8.39 + t^8.44 + t^8.46 + t^8.49 + t^8.59 - 3*t^8.62 - 5*t^8.72 + t^8.73 - 2*t^8.75 - 4*t^8.78 - 2*t^8.88 - t^8.91 - t^8.94 + t^8.95 + 2*t^8.98 + t^8.75/y^2 - t^3.92/y - t^4.83/y - t^6.54/y - t^6.64/y - t^6.67/y - t^6.7/y - t^7.03/y - t^7.45/y - t^7.56/y - t^7.59/y - t^7.61/y - t^7.95/y + t^8.34/y + t^8.37/y + t^8.4/y + t^8.47/y + t^8.5/y + t^8.53/y + t^8.73/y + t^8.84/y + t^8.9/y - t^8.97/y - t^3.92*y - t^4.83*y - t^6.54*y - t^6.64*y - t^6.67*y - t^6.7*y - t^7.03*y - t^7.45*y - t^7.56*y - t^7.59*y - t^7.61*y - t^7.95*y + t^8.34*y + t^8.37*y + t^8.4*y + t^8.47*y + t^8.5*y + t^8.53*y + t^8.73*y + t^8.84*y + t^8.9*y - t^8.97*y + t^8.75*y^2	(g2*t^2.62)/(g1*g3) + (g1*g2^2*t^2.72)/g3^12 + t^2.75/g3^6 + t^2.78/(g1*g2^2) + (g2*g3^11*t^3.12)/g1 + (g2*g3^9*t^4.03)/g1 + (g1*g2^2*t^4.14)/g3^2 + g3^4*t^4.17 + (g3^10*t^4.19)/(g1*g2^2) + (g1*t^4.3)/(g2*g3) + (g2*g3^7*t^4.95)/g1 + (g1*g2^2*t^5.05)/g3^4 + (g3^8*t^5.11)/(g1*g2^2) + (g1*t^5.22)/(g2*g3^3) + (g2^2*t^5.24)/(g1^2*g3^2) + (g2^3*t^5.34)/g3^13 + (g2*t^5.37)/(g1*g3^7) + t^5.4/(g1^2*g2*g3) + (g1^2*g2^4*t^5.44)/g3^24 + (g1*g2^2*t^5.47)/g3^18 + (2*t^5.5)/g3^12 + t^5.53/(g1*g2^2*g3^6) + t^5.56/(g1^2*g2^4) + (g3^20*t^5.61)/(g1*g2^2) + (g1*g3^9*t^5.71)/g2 + (g2^2*g3^10*t^5.73)/g1^2 + (g2^3*t^5.84)/g3 + (g2*g3^5*t^5.87)/g1 - 3*t^6. - (g1^2*g2*t^6.1)/g3^11 - (g3*t^6.16)/g2^3 + (g2^2*g3^22*t^6.23)/g1^2 + (g3^18*t^6.53)/(g1*g2^2) + (g1*g3^7*t^6.63)/g2 + (g2^2*g3^8*t^6.65)/g1^2 + (2*g2^3*t^6.76)/g3^3 + (2*g2*g3^3*t^6.78)/g1 + (g3^9*t^6.81)/(g1^2*g2) + (g1^2*g2^4*t^6.86)/g3^14 + (2*g1*g2^2*t^6.89)/g3^8 + (2*t^6.92)/g3^2 + (2*g3^4*t^6.95)/(g1*g2^2) + (g3^10*t^6.97)/(g1^2*g2^4) + (g1*t^7.05)/(g2*g3^7) + (g2^2*g3^20*t^7.15)/g1^2 + g2^3*g3^9*t^7.25 + (g2*g3^15*t^7.28)/g1 + (g3^21*t^7.31)/(g1^2*g2) + (g3^27*t^7.34)/(g1^3*g2^3) + (g3^16*t^7.44)/(g1*g2^2) + (g2^6*t^7.51)/g3^6 + (g1*g3^5*t^7.55)/g2 + (g2^2*g3^6*t^7.57)/g1^2 - (g3^11*t^7.58)/g2^3 + (g1^3*t^7.65)/g3^6 + (2*g2^3*t^7.67)/g3^5 + (g3^7*t^7.73)/(g1^2*g2) + (g1^2*g2^4*t^7.78)/g3^16 + (2*t^7.83)/g3^4 + (g2^3*t^7.86)/(g1^3*g3^3) + (g3^2*t^7.86)/(g1*g2^2) + (g3^8*t^7.89)/(g1^2*g2^4) + (g2^4*t^7.96)/(g1*g3^14) + (g1*t^7.97)/(g2*g3^9) + (g2^2*t^7.99)/(g1^2*g3^8) + t^8./(g2^3*g3^3) + t^8.02/(g1^3*g3^2) + (g1*g2^5*t^8.06)/g3^25 + (2*g2^2*g3^18*t^8.07)/g1^2 + (g2^3*t^8.09)/g3^19 + (2*g2*t^8.12)/(g1*g3^13) + t^8.15/(g1^2*g2*g3^7) + (g1^3*g2^6*t^8.17)/g3^36 + 2*g2^3*g3^7*t^8.17 + t^8.18/(g1^3*g2^3*g3) + (g1^2*g2^4*t^8.2)/g3^30 + (2*g1*g2^2*t^8.22)/g3^24 + (2*g3^19*t^8.23)/(g1^2*g2) + (2*t^8.25)/g3^18 + (g1^2*g2^4*t^8.27)/g3^4 + (2*t^8.28)/(g1*g2^2*g3^12) + t^8.31/(g1^2*g2^4*g3^6) + 3*g3^8*t^8.33 + t^8.34/(g1^3*g2^6) + (g2^3*g3^9*t^8.35)/g1^3 + (g3^14*t^8.36)/(g1*g2^2) + (g3^20*t^8.39)/(g1^2*g2^4) + (g1^2*g2*t^8.44)/g3^3 + (g1*g3^3*t^8.46)/g2 + (g2^2*g3^4*t^8.49)/g1^2 + (g2^3*t^8.59)/g3^7 - (3*g2*t^8.62)/(g1*g3) - (5*g1*g2^2*t^8.72)/g3^12 + (g3^31*t^8.73)/(g1^2*g2) - (2*t^8.75)/g3^6 - (4*t^8.78)/(g1*g2^2) - (g1^3*g2^3*t^8.83)/g3^23 + g3^20*t^8.83 - (g1^2*g2*t^8.85)/g3^17 + (g2^3*g3^21*t^8.85)/g1^3 - (2*g1*t^8.88)/(g2*g3^11) - t^8.91/(g2^3*g3^5) - (g3*t^8.94)/(g1*g2^5) + (g2^4*g3^10*t^8.95)/g1 + (2*g2^2*g3^16*t^8.98)/g1^2 + t^8.75/(g3^6*y^2) - t^3.92/(g3^2*y) - t^4.83/(g3^4*y) - (g2*t^6.54)/(g1*g3^3*y) - (g1*g2^2*t^6.64)/(g3^14*y) - t^6.67/(g3^8*y) - t^6.7/(g1*g2^2*g3^2*y) - (g2*g3^9*t^7.03)/(g1*y) - (g2*t^7.45)/(g1*g3^5*y) - (g1*g2^2*t^7.56)/(g3^16*y) - t^7.59/(g3^10*y) - t^7.61/(g1*g2^2*g3^4*y) - (g2*g3^7*t^7.95)/(g1*y) + (g2^3*t^8.34)/(g3^13*y) + (g2*t^8.37)/(g1*g3^7*y) + t^8.4/(g1^2*g2*g3*y) + (g1*g2^2*t^8.47)/(g3^18*y) + t^8.5/(g3^12*y) + t^8.53/(g1*g2^2*g3^6*y) + (g2^2*g3^10*t^8.73)/(g1^2*y) + (g2^3*t^8.84)/(g3*y) + (g3^11*t^8.9)/(g1^2*g2*y) - (g1*g2^2*t^8.97)/(g3^6*y) - (t^3.92*y)/g3^2 - (t^4.83*y)/g3^4 - (g2*t^6.54*y)/(g1*g3^3) - (g1*g2^2*t^6.64*y)/g3^14 - (t^6.67*y)/g3^8 - (t^6.7*y)/(g1*g2^2*g3^2) - (g2*g3^9*t^7.03*y)/g1 - (g2*t^7.45*y)/(g1*g3^5) - (g1*g2^2*t^7.56*y)/g3^16 - (t^7.59*y)/g3^10 - (t^7.61*y)/(g1*g2^2*g3^4) - (g2*g3^7*t^7.95*y)/g1 + (g2^3*t^8.34*y)/g3^13 + (g2*t^8.37*y)/(g1*g3^7) + (t^8.4*y)/(g1^2*g2*g3) + (g1*g2^2*t^8.47*y)/g3^18 + (t^8.5*y)/g3^12 + (t^8.53*y)/(g1*g2^2*g3^6) + (g2^2*g3^10*t^8.73*y)/g1^2 + (g2^3*t^8.84*y)/g3 + (g3^11*t^8.9*y)/(g1^2*g2) - (g1*g2^2*t^8.97*y)/g3^6 + (t^8.75*y^2)/g3^6

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
61186	${}M_{1}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }\phi_{1}\tilde{q}_{1}^{2}\tilde{q}_{2}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }M_{3}\phi_{1}^{3}$	1.4392	1.6258	0.8853	[X:[1.3369], M:[0.9626, 1.0268, 1.0053], q:[0.4741, 0.4314], qb:[0.5633, 0.5418], phi:[0.3316]]	t^2.89 + t^2.98 + t^3.02 + t^3.05 + t^3.08 + t^3.91 + t^3.98 + t^4.01 + t^4.04 + t^4.11 + t^4.91 + t^4.97 + t^5.01 + t^5.04 + t^5.1 + t^5.13 + t^5.78 + t^5.9 + t^5.94 + 2*t^5.97 - t^6. - t^3.99/y - t^4.99/y - t^3.99*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
57307	SU3adj1nf2	${}M_{1}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }\phi_{1}\tilde{q}_{1}^{2}\tilde{q}_{2}$	1.4518	1.6306	0.8903	[X:[1.3795], M:[0.9159, 0.9457], q:[0.5105, 0.5119], qb:[0.5736, 0.5425], phi:[0.3103]]	t^2.748 + t^2.792 + t^2.837 + t^3.159 + t^3.256 + t^4.09 + t^4.094 + t^4.138 + t^4.183 + t^4.187 + t^5.02 + t^5.025 + t^5.114 + t^5.118 + t^5.495 + t^5.529 + t^5.533 + t^5.54 + 2*t^5.585 + t^5.629 + t^5.674 + t^5.906 + t^5.951 - 3*t^6. - t^3.931/y - t^4.862/y - t^3.931*y - t^4.862*y	detail