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
57981	SU3adj1nf2	${}M_{1}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }\phi_{1}\tilde{q}_{1}^{2}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$	1.4595	1.6426	0.8885	[X:[1.3944], M:[0.8966, 0.9203, 0.8873], q:[0.5408, 0.5078], qb:[0.5626, 0.5719], phi:[0.3028]]	[X:[[0, 0, 4]], M:[[1, 2, -12], [-1, -2, 0], [1, -1, -11]], 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
${}M_{3}$, ${ }M_{1}$, ${ }\phi_{1}^{3}$, ${ }M_{2}$, ${ }q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }X_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{2}$, ${ }M_{3}^{2}$, ${ }M_{1}M_{3}$, ${ }M_{1}^{2}$, ${ }M_{3}\phi_{1}^{3}$, ${ }M_{1}\phi_{1}^{3}$, ${ }M_{2}M_{3}$, ${ }M_{1}M_{2}$, ${ }\phi_{1}^{6}$, ${ }M_{2}\phi_{1}^{3}$, ${ }M_{2}^{2}$, ${ }\phi_{1}q_{1}q_{2}^{2}$, ${ }\phi_{1}q_{1}^{2}q_{2}$, ${ }M_{3}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{3}q_{2}\tilde{q}_{1}$	${}$	-3	t^2.66 + t^2.69 + t^2.73 + t^2.76 + t^3.21 + t^4.12 + t^4.15 + t^4.18 + t^4.22 + t^4.25 + t^5.03 + t^5.06 + t^5.13 + t^5.15 + t^5.32 + t^5.35 + t^5.38 + t^5.39 + 2*t^5.42 + 2*t^5.45 + t^5.49 + t^5.52 + t^5.58 + t^5.68 + t^5.87 + t^5.94 - 3*t^6. - t^6.1 + t^6.42 + t^6.49 + t^6.58 + t^6.78 + t^6.81 + t^6.84 + 2*t^6.85 + 2*t^6.87 + t^6.88 + 2*t^6.91 + 3*t^6.94 + t^6.97 + t^6.98 + t^7.3 + t^7.33 + t^7.36 + 2*t^7.39 + t^7.49 + t^7.59 + t^7.69 + t^7.72 + 2*t^7.75 + 2*t^7.79 + 2*t^7.82 + t^7.84 + t^7.85 + t^7.87 + t^7.89 + t^7.99 + t^8.01 + t^8.04 + t^8.05 + t^8.07 + 2*t^8.08 + 3*t^8.11 + 2*t^8.14 + t^8.15 + 3*t^8.18 + 2*t^8.21 + 2*t^8.24 + t^8.25 + 2*t^8.27 + t^8.28 + 2*t^8.3 + 2*t^8.34 + 2*t^8.37 + t^8.39 + t^8.4 + t^8.44 + t^8.49 + t^8.54 + t^8.6 - 3*t^8.66 - 4*t^8.69 - t^8.72 - 2*t^8.73 - 4*t^8.76 - t^8.79 - 2*t^8.82 - t^8.86 + t^8.89 + t^8.73/y^2 - t^3.91/y - t^4.82/y - t^6.57/y - t^6.6/y - t^6.63/y - t^6.67/y - t^7.12/y - t^7.48/y - t^7.51/y - t^7.54/y - t^7.58/y - t^8.03/y + t^8.35/y + t^8.39/y + (2*t^8.42)/y + t^8.45/y + t^8.49/y + t^8.87/y + t^8.9/y - t^8.96/y + t^8.97/y - t^3.91*y - t^4.82*y - t^6.57*y - t^6.6*y - t^6.63*y - t^6.67*y - t^7.12*y - t^7.48*y - t^7.51*y - t^7.54*y - t^7.58*y - t^8.03*y + t^8.35*y + t^8.39*y + 2*t^8.42*y + t^8.45*y + t^8.49*y + t^8.87*y + t^8.9*y - t^8.96*y + t^8.97*y + t^8.73*y^2	(g1*t^2.66)/(g2*g3^11) + (g1*g2^2*t^2.69)/g3^12 + t^2.73/g3^6 + t^2.76/(g1*g2^2) + (g1*g3*t^3.21)/g2 + (g1*t^4.12)/(g2*g3) + (g1*g2^2*t^4.15)/g3^2 + g3^4*t^4.18 + (g3^10*t^4.22)/(g1*g2^2) + (g2*g3^9*t^4.25)/g1 + (g1*t^5.03)/(g2*g3^3) + (g1*g2^2*t^5.06)/g3^4 + (g3^8*t^5.13)/(g1*g2^2) + (g2*g3^7*t^5.15)/g1 + (g1^2*t^5.32)/(g2^2*g3^22) + (g1^2*g2*t^5.35)/g3^23 + (g1^2*g2^4*t^5.38)/g3^24 + (g1*t^5.39)/(g2*g3^17) + (g1*g2^2*t^5.42)/g3^18 + t^5.42/(g2^3*g3^11) + (2*t^5.45)/g3^12 + t^5.49/(g1*g2^2*g3^6) + t^5.52/(g1^2*g2^4) + (g1*g3^9*t^5.58)/g2 + (g3^20*t^5.68)/(g1*g2^2) + (g1^2*t^5.87)/(g2^2*g3^10) + (g1*t^5.94)/(g2*g3^5) - 3*t^6. - (g3^11*t^6.1)/(g1^2*g2) + (g1^2*g3^2*t^6.42)/g2^2 + (g1*g3^7*t^6.49)/g2 + (g3^18*t^6.58)/(g1*g2^2) + (g1^2*t^6.78)/(g2^2*g3^12) + (g1^2*g2*t^6.81)/g3^13 + (g1^2*g2^4*t^6.84)/g3^14 + (2*g1*t^6.85)/(g2*g3^7) + (2*g1*g2^2*t^6.87)/g3^8 + t^6.88/(g2^3*g3) + (2*t^6.91)/g3^2 + (g2^3*t^6.94)/g3^3 + (2*g3^4*t^6.94)/(g1*g2^2) + (g2*g3^3*t^6.97)/g1 + (g3^10*t^6.98)/(g1^2*g2^4) + (g1^3*t^7.3)/g3^6 + (g1^2*t^7.33)/g2^2 + (g1^2*g2*t^7.36)/g3 + (2*g1*g3^5*t^7.39)/g2 + (g3^16*t^7.49)/(g1*g2^2) + (g3^27*t^7.59)/(g1^3*g2^3) + (g1^2*t^7.69)/(g2^2*g3^14) + (g1^2*g2*t^7.72)/g3^15 + (g1^2*g2^4*t^7.75)/g3^16 + (g1*t^7.75)/(g2*g3^9) + (2*t^7.79)/(g2^3*g3^3) + (2*t^7.82)/g3^4 + (g2^3*t^7.84)/g3^5 + (g3^2*t^7.85)/(g1*g2^2) + (g2^6*t^7.87)/g3^6 + (g3^8*t^7.89)/(g1^2*g2^4) + (g1^3*t^7.99)/(g2^3*g3^33) + (g1^3*t^8.01)/g3^34 + (g1^3*g2^3*t^8.04)/g3^35 + (g1^2*t^8.05)/(g2^2*g3^28) + (g1^3*g2^6*t^8.07)/g3^36 + (g1^2*g2*t^8.08)/g3^29 + (g1*t^8.08)/(g2^4*g3^22) + (g1^2*g2^4*t^8.11)/g3^30 + (2*g1*t^8.11)/(g2*g3^23) + (2*g1*g2^2*t^8.14)/g3^24 + t^8.15/(g2^3*g3^17) + (2*t^8.18)/g3^18 + t^8.18/(g1*g2^5*g3^11) + (2*t^8.21)/(g1*g2^2*g3^12) + (2*g1^2*t^8.24)/(g2^2*g3^2) + t^8.25/(g1^2*g2^4*g3^6) + (2*g1^2*g2*t^8.27)/g3^3 + t^8.28/(g1^3*g2^6) + (g1^2*g2^4*t^8.3)/g3^4 + (g1*g3^3*t^8.3)/g2 + (2*g3^9*t^8.34)/g2^3 + 2*g3^8*t^8.37 + g2^3*g3^7*t^8.39 + (g3^14*t^8.4)/(g1*g2^2) + (g3^20*t^8.44)/(g1^2*g2^4) + (g2^2*g3^18*t^8.49)/g1^2 + (g1^3*t^8.54)/(g2^3*g3^21) + (g1^2*t^8.6)/(g2^2*g3^16) - (3*g1*t^8.66)/(g2*g3^11) - (4*g1*g2^2*t^8.69)/g3^12 - (g1*g2^5*t^8.72)/g3^13 - (2*t^8.73)/g3^6 - (4*t^8.76)/(g1*g2^2) - (2*g2*t^8.79)/(g1*g3) + (g1^2*g3^10*t^8.79)/g2^2 - (g2^4*t^8.82)/(g1*g3^2) - (g3^5*t^8.82)/(g1^2*g2) - (g3^11*t^8.86)/(g1^3*g2^3) + (g3^21*t^8.89)/g2^3 + t^8.73/(g3^6*y^2) - t^3.91/(g3^2*y) - t^4.82/(g3^4*y) - (g1*t^6.57)/(g2*g3^13*y) - (g1*g2^2*t^6.6)/(g3^14*y) - t^6.63/(g3^8*y) - t^6.67/(g1*g2^2*g3^2*y) - (g1*t^7.12)/(g2*g3*y) - (g1*t^7.48)/(g2*g3^15*y) - (g1*g2^2*t^7.51)/(g3^16*y) - t^7.54/(g3^10*y) - t^7.58/(g1*g2^2*g3^4*y) - (g1*t^8.03)/(g2*g3^3*y) + (g1^2*g2*t^8.35)/(g3^23*y) + (g1*t^8.39)/(g2*g3^17*y) + (g1*g2^2*t^8.42)/(g3^18*y) + t^8.42/(g2^3*g3^11*y) + t^8.45/(g3^12*y) + t^8.49/(g1*g2^2*g3^6*y) + (g1^2*t^8.87)/(g2^2*g3^10*y) + (g1^2*g2*t^8.9)/(g3^11*y) - (g1*g2^2*t^8.96)/(g3^6*y) + (g3*t^8.97)/(g2^3*y) - (t^3.91*y)/g3^2 - (t^4.82*y)/g3^4 - (g1*t^6.57*y)/(g2*g3^13) - (g1*g2^2*t^6.6*y)/g3^14 - (t^6.63*y)/g3^8 - (t^6.67*y)/(g1*g2^2*g3^2) - (g1*t^7.12*y)/(g2*g3) - (g1*t^7.48*y)/(g2*g3^15) - (g1*g2^2*t^7.51*y)/g3^16 - (t^7.54*y)/g3^10 - (t^7.58*y)/(g1*g2^2*g3^4) - (g1*t^8.03*y)/(g2*g3^3) + (g1^2*g2*t^8.35*y)/g3^23 + (g1*t^8.39*y)/(g2*g3^17) + (g1*g2^2*t^8.42*y)/g3^18 + (t^8.42*y)/(g2^3*g3^11) + (t^8.45*y)/g3^12 + (t^8.49*y)/(g1*g2^2*g3^6) + (g1^2*t^8.87*y)/(g2^2*g3^10) + (g1^2*g2*t^8.9*y)/g3^11 - (g1*g2^2*t^8.96*y)/g3^6 + (g3*t^8.97*y)/g2^3 + (t^8.73*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
61124	${}M_{1}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }\phi_{1}\tilde{q}_{1}^{2}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }\phi_{1}^{3}q_{2}\tilde{q}_{1}$	1.4589	1.6408	0.8891	[X:[1.393], M:[0.8994, 0.9216, 0.9105], q:[0.5314, 0.5203], qb:[0.5692, 0.5581], phi:[0.3035]]	t^2.7 + 2*t^2.73 + t^2.76 + t^3.27 + t^4.15 + 3*t^4.18 + t^4.21 + t^5.06 + 2*t^5.09 + t^5.12 + t^5.4 + 2*t^5.43 + 4*t^5.46 + 2*t^5.5 + t^5.53 + t^5.63 + t^5.66 - t^6. - t^3.91/y - t^4.82/y - t^3.91*y - t^4.82*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