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
57863	SU3adj1nf2	${}q_{1}q_{2}\tilde{q}_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{2}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }M_{2}\phi_{1}^{3}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$	1.4564	1.6422	0.8869	[X:[1.3518], M:[0.9445, 1.0278, 0.9445], q:[0.5135, 0.5135], qb:[0.4865, 0.542], phi:[0.3241]]	[X:[[0, 0, 2]], M:[[-1, -1, 0], [0, 0, 3], [1, 1, -12]], q:[[-1, -2, 12], [1, 0, 0]], qb:[[0, 1, -6], [0, 1, 0]], phi:[[0, 0, -1]]]	3

Relevant Operators	Marginal Operators	$n_{marginal}$$-$$|F_{IR}|$	Superconformal Index	Refined index
${}M_{1}$, ${ }M_{3}$, ${ }q_{2}\tilde{q}_{1}$, ${ }q_{1}\tilde{q}_{1}$, ${ }M_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }X_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}q_{2}^{2}$, ${ }\phi_{1}q_{1}^{2}q_{2}$, ${ }M_{1}^{2}$, ${ }M_{3}^{2}$, ${ }M_{1}M_{3}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}^{2}$, ${ }M_{3}q_{2}\tilde{q}_{1}$, ${ }M_{3}q_{1}\tilde{q}_{1}$, ${ }M_{1}q_{1}\tilde{q}_{1}$, ${ }M_{2}M_{3}$, ${ }M_{1}M_{2}$	${}$	-3	2*t^2.83 + 2*t^3. + t^3.08 + 2*t^3.97 + t^4.06 + 2*t^4.14 + 2*t^4.94 + 2*t^5.11 + t^5.52 + 2*t^5.59 + 3*t^5.67 + t^5.68 + 3*t^5.83 + 2*t^5.92 - 3*t^6. + 2*t^6.08 + t^6.49 + 2*t^6.57 + t^6.66 + 3*t^6.81 + 2*t^6.89 + 3*t^6.97 + 4*t^7.06 + 4*t^7.14 + 2*t^7.22 + t^7.3 - t^7.45 + t^7.46 + 4*t^7.54 - 2*t^7.55 - t^7.62 + t^7.63 + 3*t^7.78 + t^7.79 + 7*t^7.94 + 2*t^8.03 + 7*t^8.11 + 2*t^8.19 + 3*t^8.28 + 4*t^8.5 + t^8.6 + 4*t^8.67 + 2*t^8.68 + 3*t^8.75 + t^8.77 - 6*t^8.83 + 8*t^8.92 + t^8.92/y^2 - t^3.97/y - t^4.94/y - (2*t^6.81)/y - (2*t^6.97)/y - t^7.06/y - (2*t^7.78)/y - (2*t^7.94)/y - t^8.03/y + t^8.67/y + (4*t^8.83)/y - t^3.97*y - t^4.94*y - 2*t^6.81*y - 2*t^6.97*y - t^7.06*y - 2*t^7.78*y - 2*t^7.94*y - t^8.03*y + t^8.67*y + 4*t^8.83*y + t^8.92*y^2	t^2.83/(g1*g2) + (g1*g2*t^2.83)/g3^12 + (g1*g2*t^3.)/g3^6 + (g3^6*t^3.)/(g1*g2) + g3^3*t^3.08 + (g1*g2*t^3.97)/g3^7 + (g3^5*t^3.97)/(g1*g2) + g3^2*t^4.06 + (g1*g2*t^4.14)/g3 + (g3^11*t^4.14)/(g1*g2) + (g1*g2*t^4.94)/g3^8 + (g3^4*t^4.94)/(g1*g2) + (g1*g2*t^5.11)/g3^2 + (g3^10*t^5.11)/(g1*g2) + (g2^3*t^5.52)/g3^13 + (g1*g3^11*t^5.59)/g2^2 + (g3^23*t^5.59)/(g1*g2^4) + t^5.67/(g1^2*g2^2) + (g1^2*g2^2*t^5.67)/g3^24 + t^5.67/g3^12 + (g2^3*t^5.68)/g3^7 + (g1^2*g2^2*t^5.83)/g3^18 + t^5.83/g3^6 + (g3^6*t^5.83)/(g1^2*g2^2) + (g1*g2*t^5.92)/g3^9 + (g3^3*t^5.92)/(g1*g2) - 3*t^6. + (g1*g2*t^6.08)/g3^3 + (g3^9*t^6.08)/(g1*g2) + (g2^3*t^6.49)/g3^14 + (g1*g3^10*t^6.57)/g2^2 + (g3^22*t^6.57)/(g1*g2^4) + (g2^3*t^6.66)/g3^8 + (g1^2*g2^2*t^6.81)/g3^19 + t^6.81/g3^7 + (g3^5*t^6.81)/(g1^2*g2^2) + (g1*g2*t^6.89)/g3^10 + (g3^2*t^6.89)/(g1*g2) + (g1^2*g2^2*t^6.97)/g3^13 + t^6.97/g3 + (g3^11*t^6.97)/(g1^2*g2^2) + (2*g1*g2*t^7.06)/g3^4 + (2*g3^8*t^7.06)/(g1*g2) + (g1^2*g2^2*t^7.14)/g3^7 + 2*g3^5*t^7.14 + (g3^17*t^7.14)/(g1^2*g2^2) + g1*g2*g3^2*t^7.22 + (g3^14*t^7.22)/(g1*g2) + (g2^3*t^7.3)/g3^21 - (g3^12*t^7.45)/g2^3 + (g2^3*t^7.46)/g3^15 + (g1^3*t^7.54)/g3^3 + (g1*g3^9*t^7.54)/g2^2 + (g3^21*t^7.54)/(g1*g2^4) + (g3^33*t^7.54)/(g1^3*g2^6) - (g1*g2^4*t^7.55)/g3^18 - (g2^2*t^7.55)/(g1*g3^6) - (g3^18*t^7.62)/g2^3 + (g2^3*t^7.63)/g3^9 + (g1^2*g2^2*t^7.78)/g3^20 + t^7.78/g3^8 + (g3^4*t^7.78)/(g1^2*g2^2) + (g2^3*t^7.79)/g3^3 + (2*g1^2*g2^2*t^7.94)/g3^14 + (3*t^7.94)/g3^2 + (2*g3^10*t^7.94)/(g1^2*g2^2) + (g1*g2*t^8.03)/g3^5 + (g3^7*t^8.03)/(g1*g2) + (2*g1^2*g2^2*t^8.11)/g3^8 + 3*g3^4*t^8.11 + (2*g3^16*t^8.11)/(g1^2*g2^2) + g1*g2*g3*t^8.19 + (g3^13*t^8.19)/(g1*g2) + (g1^2*g2^2*t^8.28)/g3^2 + g3^10*t^8.28 + (g3^22*t^8.28)/(g1^2*g2^2) + t^8.5/(g1^3*g2^3) + (g1^3*g2^3*t^8.5)/g3^36 + (g1*g2*t^8.5)/g3^24 + t^8.5/(g1*g2*g3^12) + (g2^3*t^8.6)/g3^10 + (g1^3*g2^3*t^8.67)/g3^30 + (g1*g2*t^8.67)/g3^18 + t^8.67/(g1*g2*g3^6) + (g3^6*t^8.67)/(g1^3*g2^3) + (g1*g3^14*t^8.68)/g2^2 + (g3^26*t^8.68)/(g1*g2^4) + (g1^2*g2^2*t^8.75)/g3^21 + t^8.75/g3^9 + (g3^3*t^8.75)/(g1^2*g2^2) + (g2^3*t^8.77)/g3^4 - (3*t^8.83)/(g1*g2) - (3*g1*g2*t^8.83)/g3^12 + (2*g1^2*g2^2*t^8.92)/g3^15 + (4*t^8.92)/g3^3 + (2*g3^9*t^8.92)/(g1^2*g2^2) + t^8.92/(g3^3*y^2) - t^3.97/(g3*y) - t^4.94/(g3^2*y) - (g1*g2*t^6.81)/(g3^13*y) - t^6.81/(g1*g2*g3*y) - (g1*g2*t^6.97)/(g3^7*y) - (g3^5*t^6.97)/(g1*g2*y) - (g3^2*t^7.06)/y - (g1*g2*t^7.78)/(g3^14*y) - t^7.78/(g1*g2*g3^2*y) - (g1*g2*t^7.94)/(g3^8*y) - (g3^4*t^7.94)/(g1*g2*y) - (g3*t^8.03)/y + t^8.67/(g3^12*y) + (g1^2*g2^2*t^8.83)/(g3^18*y) + (2*t^8.83)/(g3^6*y) + (g3^6*t^8.83)/(g1^2*g2^2*y) - (t^3.97*y)/g3 - (t^4.94*y)/g3^2 - (g1*g2*t^6.81*y)/g3^13 - (t^6.81*y)/(g1*g2*g3) - (g1*g2*t^6.97*y)/g3^7 - (g3^5*t^6.97*y)/(g1*g2) - g3^2*t^7.06*y - (g1*g2*t^7.78*y)/g3^14 - (t^7.78*y)/(g1*g2*g3^2) - (g1*g2*t^7.94*y)/g3^8 - (g3^4*t^7.94*y)/(g1*g2) - g3*t^8.03*y + (t^8.67*y)/g3^12 + (g1^2*g2^2*t^8.83*y)/g3^18 + (2*t^8.83*y)/g3^6 + (g3^6*t^8.83*y)/(g1^2*g2^2) + (t^8.92*y^2)/g3^3

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
57280	SU3adj1nf2	${}q_{1}q_{2}\tilde{q}_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{2}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }M_{2}\phi_{1}^{3}$	1.4541	1.6417	0.8857	[X:[1.3371], M:[0.9704, 1.0056], q:[0.4845, 0.5214], qb:[0.4971, 0.5082], phi:[0.3315]]	t^2.911 + t^2.945 + t^2.978 + t^3.017 + t^3.055 + t^3.939 + t^3.972 + t^4.011 + t^4.05 + t^4.083 + t^4.933 + t^4.967 + t^5.044 + t^5.078 + t^5.465 + t^5.501 + t^5.535 + t^5.576 + t^5.822 + t^5.856 + t^5.889 + t^5.923 + t^5.928 + t^5.956 + t^5.961 + t^5.995 - 3*t^6. - t^3.994/y - t^4.989/y - t^3.994*y - t^4.989*y	detail