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
58088	SU3adj1nf2	${}q_{1}^{2}\tilde{q}_{1}^{2}$ + ${ }q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }M_{1}q_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}q_{2}\tilde{q}_{1}$	1.4757	1.6825	0.8771	[X:[1.3402], M:[0.9586, 0.6908], q:[0.5154, 0.4947], qb:[0.4846, 0.526], phi:[0.3299]]	[X:[[0, 2]], M:[[0, -12], [0, 7]], q:[[-1, 12], [-1, 6]], qb:[[1, -12], [1, 0]], phi:[[0, -1]]]	2

Relevant Operators	Marginal Operators	$n_{marginal}$$-$$|F_{IR}|$	Superconformal Index	Refined index
${}M_{2}$, ${ }M_{1}$, ${ }q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{3}$, ${ }q_{1}\tilde{q}_{1}$, ${ }q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }X_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{2}^{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$, ${ }M_{1}M_{2}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{1}$, ${ }M_{2}q_{2}\tilde{q}_{1}$, ${ }M_{2}\phi_{1}^{3}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$, ${ }M_{2}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{2}$, ${ }M_{2}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}q_{2}^{2}$, ${ }\phi_{1}q_{1}^{2}q_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}^{2}$, ${ }M_{1}^{2}$, ${ }M_{1}q_{2}\tilde{q}_{1}$, ${ }M_{1}\phi_{1}^{3}$, ${ }M_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}^{3}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{6}$, ${ }M_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}^{3}q_{1}\tilde{q}_{1}$	${}$	-2	t^2.07 + t^2.88 + t^2.94 + t^2.97 + t^3. + t^3.06 + t^3.99 + t^4.02 + t^4.05 + t^4.11 + t^4.14 + t^4.92 + t^4.95 + t^4.98 + t^5.01 + 2*t^5.04 + t^5.07 + t^5.1 + t^5.13 + t^5.48 + t^5.5 + t^5.57 + t^5.6 + t^5.75 + t^5.81 + t^5.84 + t^5.88 + t^5.91 + 2*t^5.94 + t^5.97 - 2*t^6. + t^6.03 + t^6.06 + t^6.09 + t^6.12 + t^6.19 + t^6.22 + t^6.47 + t^6.49 + t^6.56 + t^6.59 + t^6.9 + t^6.93 + 2*t^6.96 + 2*t^6.99 + 3*t^7.02 + 3*t^7.05 + 3*t^7.08 + 3*t^7.11 + t^7.14 + 2*t^7.18 + t^7.21 + t^7.33 + t^7.42 + t^7.48 - t^7.49 + t^7.55 + t^7.58 + t^7.61 + t^7.64 + t^7.67 + t^7.7 + t^7.79 + t^7.82 + t^7.86 + 2*t^7.89 + 3*t^7.92 + t^7.95 + 4*t^7.98 + 3*t^8.01 + 4*t^8.04 - t^8.07 + 4*t^8.1 + t^8.13 + 3*t^8.17 + t^8.2 + t^8.23 + t^8.26 + t^8.29 + t^8.44 + t^8.47 + t^8.53 + t^8.54 + 2*t^8.57 + 2*t^8.63 + t^8.66 + t^8.69 + t^8.72 + t^8.75 + t^8.78 + 2*t^8.81 + t^8.84 - t^8.88 + 3*t^8.91 - 2*t^8.94 + 2*t^8.97 + t^8.97/y^2 - t^3.99/y - t^4.98/y - t^6.06/y - t^6.87/y - t^6.93/y - t^6.96/y - t^6.99/y - (2*t^7.05)/y - t^7.86/y - t^7.98/y + t^8.01/y + t^8.07/y + t^8.81/y + t^8.84/y + t^8.88/y + t^8.91/y + t^8.94/y - t^3.99*y - t^4.98*y - t^6.06*y - t^6.87*y - t^6.93*y - t^6.96*y - t^6.99*y - 2*t^7.05*y - t^7.86*y - t^7.98*y + t^8.01*y + t^8.07*y + t^8.81*y + t^8.84*y + t^8.88*y + t^8.91*y + t^8.94*y + t^8.97*y^2	g2^7*t^2.07 + t^2.88/g2^12 + t^2.94/g2^6 + t^2.97/g2^3 + t^3. + g2^6*t^3.06 + t^3.99/g2 + g2^2*t^4.02 + g2^5*t^4.05 + g2^11*t^4.11 + g2^14*t^4.14 + t^4.92/g2^8 + t^4.95/g2^5 + t^4.98/g2^2 + g2*t^5.01 + 2*g2^4*t^5.04 + g2^7*t^5.07 + g2^10*t^5.1 + g2^13*t^5.13 + (g1^3*t^5.48)/g2^25 + (g2^23*t^5.5)/g1^3 + (g2^29*t^5.57)/g1^3 + (g1^3*t^5.6)/g2^13 + t^5.75/g2^24 + t^5.81/g2^18 + t^5.84/g2^15 + t^5.88/g2^12 + t^5.91/g2^9 + (2*t^5.94)/g2^6 + t^5.97/g2^3 - 2*t^6. + g2^3*t^6.03 + g2^6*t^6.06 + g2^9*t^6.09 + g2^12*t^6.12 + g2^18*t^6.19 + g2^21*t^6.22 + (g1^3*t^6.47)/g2^26 + (g2^22*t^6.49)/g1^3 + (g2^28*t^6.56)/g1^3 + (g1^3*t^6.59)/g2^14 + t^6.9/g2^10 + t^6.93/g2^7 + (2*t^6.96)/g2^4 + (2*t^6.99)/g2 + 3*g2^2*t^7.02 + 3*g2^5*t^7.05 + 3*g2^8*t^7.08 + 3*g2^11*t^7.11 + g2^14*t^7.14 + 2*g2^17*t^7.18 + g2^20*t^7.21 + (g1^3*t^7.33)/g2^39 + (g2^15*t^7.42)/g1^3 + (g1^3*t^7.45)/g2^27 - (g2^18*t^7.45)/g1^3 + (g2^21*t^7.48)/g1^3 - (g1^3*t^7.49)/g2^24 + (g2^27*t^7.55)/g1^3 + (g1^3*t^7.58)/g2^15 + (g2^33*t^7.61)/g1^3 + (g2^36*t^7.64)/g1^3 + (g1^3*t^7.67)/g2^6 + (g1^3*t^7.7)/g2^3 + t^7.79/g2^20 + t^7.82/g2^17 + t^7.86/g2^14 + (2*t^7.89)/g2^11 + (3*t^7.92)/g2^8 + t^7.95/g2^5 + (4*t^7.98)/g2^2 + 3*g2*t^8.01 + 4*g2^4*t^8.04 - g2^7*t^8.07 + 4*g2^10*t^8.1 + g2^13*t^8.13 + 3*g2^16*t^8.17 + g2^19*t^8.2 + g2^22*t^8.23 + g2^25*t^8.26 + g2^28*t^8.29 + (g1^3*t^8.44)/g2^28 + (g2^20*t^8.47)/g1^3 + (g2^26*t^8.53)/g1^3 + (g1^3*t^8.54)/g2^19 + (g1^3*t^8.57)/g2^16 + (g2^29*t^8.57)/g1^3 + t^8.63/g2^36 + (g2^35*t^8.63)/g1^3 + (g1^3*t^8.66)/g2^7 + t^8.69/g2^30 + t^8.72/g2^27 + t^8.75/g2^24 + t^8.78/g2^21 + (2*t^8.81)/g2^18 + t^8.84/g2^15 - t^8.88/g2^12 + (3*t^8.91)/g2^9 - (2*t^8.94)/g2^6 + (2*t^8.97)/g2^3 + t^8.97/(g2^3*y^2) - t^3.99/(g2*y) - t^4.98/(g2^2*y) - (g2^6*t^6.06)/y - t^6.87/(g2^13*y) - t^6.93/(g2^7*y) - t^6.96/(g2^4*y) - t^6.99/(g2*y) - (2*g2^5*t^7.05)/y - t^7.86/(g2^14*y) - t^7.98/(g2^2*y) + (g2*t^8.01)/y + (g2^7*t^8.07)/y + t^8.81/(g2^18*y) + t^8.84/(g2^15*y) + t^8.88/(g2^12*y) + t^8.91/(g2^9*y) + t^8.94/(g2^6*y) - (t^3.99*y)/g2 - (t^4.98*y)/g2^2 - g2^6*t^6.06*y - (t^6.87*y)/g2^13 - (t^6.93*y)/g2^7 - (t^6.96*y)/g2^4 - (t^6.99*y)/g2 - 2*g2^5*t^7.05*y - (t^7.86*y)/g2^14 - (t^7.98*y)/g2^2 + g2*t^8.01*y + g2^7*t^8.07*y + (t^8.81*y)/g2^18 + (t^8.84*y)/g2^15 + (t^8.88*y)/g2^12 + (t^8.91*y)/g2^9 + (t^8.94*y)/g2^6 + (t^8.97*y^2)/g2^3

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
61188	${}q_{1}^{2}\tilde{q}_{1}^{2}$ + ${ }q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }M_{1}q_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}q_{1}^{2}q_{2}$	1.4656	1.6711	0.877	[X:[1.3462], M:[0.9225, 0.7119], q:[0.5706, 0.5319], qb:[0.4294, 0.5069], phi:[0.3269]]	t^2.14 + t^2.77 + t^2.88 + t^2.94 + t^3. + t^3.12 + t^3.98 + t^4.04 + t^4.1 + t^4.21 + t^4.27 + t^4.85 + t^4.9 + t^4.96 + t^5.02 + 3*t^5.08 + t^5.14 + t^5.19 + t^5.25 + t^5.31 + t^5.54 + t^5.65 + t^5.71 + t^5.77 + t^5.83 + 3*t^5.88 + t^5.94 - t^6. - t^3.98/y - t^4.96/y - t^3.98*y - t^4.96*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
57332	SU3adj1nf2	${}q_{1}^{2}\tilde{q}_{1}^{2}$ + ${ }q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }M_{1}q_{1}\tilde{q}_{2}$	1.455	1.6425	0.8858	[X:[1.3409], M:[0.9544], q:[0.5169, 0.4941], qb:[0.4831, 0.5287], phi:[0.3295]]	t^2.863 + t^2.932 + t^2.966 + t^3. + t^3.068 + t^3.92 + t^3.989 + t^4.023 + t^4.057 + t^4.126 + t^4.909 + t^4.977 + t^5.046 + t^5.114 + t^5.473 + t^5.504 + t^5.572 + t^5.61 + t^5.726 + t^5.795 + t^5.829 + t^5.863 + t^5.897 + 2*t^5.932 + t^5.966 - 2*t^6. - t^3.989/y - t^4.977/y - t^3.989*y - t^4.977*y	detail