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
2411	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }M_{4}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}X_{1}$ + ${ }M_{5}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{6}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{2}M_{7}$	0.6728	0.8548	0.7871	[X:[1.5604], M:[0.4396, 1.1868, 0.7802, 0.8792, 0.7802, 0.6812, 0.8132], q:[0.7967, 0.7637], qb:[0.4561, 0.3571], phi:[0.4066]]	[X:[[12]], M:[[-12], [4], [6], [-24], [6], [36], [-4]], q:[[1], [11]], qb:[[-17], [13]], phi:[[-2]]]	1

Relevant Operators	Marginal Operators	$n_{marginal}$$-$$|F_{IR}|$	Superconformal Index	Refined index
${}M_{6}$, ${ }M_{3}$, ${ }M_{5}$, ${ }M_{7}$, ${ }\phi_{1}^{2}$, ${ }M_{4}$, ${ }q_{2}\tilde{q}_{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }q_{1}\tilde{q}_{1}$, ${ }M_{6}^{2}$, ${ }M_{3}M_{6}$, ${ }M_{5}M_{6}$, ${ }M_{6}M_{7}$, ${ }M_{6}\phi_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{3}^{2}$, ${ }M_{3}M_{5}$, ${ }M_{5}^{2}$, ${ }M_{4}M_{6}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }X_{1}$, ${ }M_{3}M_{7}$, ${ }M_{5}M_{7}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{5}\phi_{1}^{2}$, ${ }M_{7}^{2}$, ${ }M_{7}\phi_{1}^{2}$, ${ }\phi_{1}^{4}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{3}M_{4}$, ${ }M_{4}M_{5}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{4}M_{7}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{4}^{2}$, ${ }M_{6}q_{2}\tilde{q}_{2}$, ${ }M_{6}q_{1}\tilde{q}_{2}$, ${ }M_{3}q_{2}\tilde{q}_{2}$, ${ }M_{5}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }M_{6}q_{1}\tilde{q}_{1}$, ${ }M_{3}q_{1}\tilde{q}_{2}$, ${ }M_{5}q_{1}\tilde{q}_{2}$, ${ }M_{7}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }M_{7}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{2}$	${}$	-3	t^2.043 + 2*t^2.341 + 2*t^2.44 + t^2.638 + t^3.362 + t^3.461 + t^3.758 + t^4.087 + 2*t^4.384 + 2*t^4.483 + t^4.582 + 5*t^4.681 + 3*t^4.78 + 4*t^4.879 + 2*t^4.978 + t^5.077 + t^5.275 + t^5.406 + t^5.505 + t^5.703 + 6*t^5.802 + t^5.901 - 3*t^6. + 2*t^6.099 + t^6.13 + t^6.198 - 2*t^6.297 + t^6.396 + 2*t^6.427 + 2*t^6.527 + t^6.626 + 6*t^6.725 + 4*t^6.824 + 4*t^6.923 + 8*t^7.022 + 5*t^7.121 + 4*t^7.22 + 8*t^7.319 + t^7.418 + t^7.449 + t^7.517 + t^7.548 + 2*t^7.616 + t^7.715 + t^7.746 + 6*t^7.845 + t^7.913 + 2*t^7.944 - t^8.043 + 7*t^8.142 + t^8.174 + 5*t^8.242 - 7*t^8.341 - 2*t^8.44 + 2*t^8.471 - t^8.539 + 2*t^8.57 - 5*t^8.638 + t^8.669 - t^8.737 + 6*t^8.768 + 4*t^8.867 - 2*t^8.935 + 4*t^8.966 - t^4.22/y - t^6.263/y - (2*t^6.56)/y - t^6.659/y - t^6.858/y + (2*t^7.384)/y + (2*t^7.483)/y + t^7.582/y + (2*t^7.681)/y + (5*t^7.78)/y + (3*t^7.879)/y + (2*t^7.978)/y + (2*t^8.077)/y + t^8.176/y - t^8.307/y + t^8.406/y + t^8.505/y - (2*t^8.604)/y + t^8.703/y + (5*t^8.802)/y - (2*t^8.901)/y - t^4.22*y - t^6.263*y - 2*t^6.56*y - t^6.659*y - t^6.858*y + 2*t^7.384*y + 2*t^7.483*y + t^7.582*y + 2*t^7.681*y + 5*t^7.78*y + 3*t^7.879*y + 2*t^7.978*y + 2*t^8.077*y + t^8.176*y - t^8.307*y + t^8.406*y + t^8.505*y - 2*t^8.604*y + t^8.703*y + 5*t^8.802*y - 2*t^8.901*y	g1^36*t^2.043 + 2*g1^6*t^2.341 + (2*t^2.44)/g1^4 + t^2.638/g1^24 + g1^24*t^3.362 + g1^14*t^3.461 + t^3.758/g1^16 + g1^72*t^4.087 + 2*g1^42*t^4.384 + 2*g1^32*t^4.483 + g1^22*t^4.582 + 5*g1^12*t^4.681 + 3*g1^2*t^4.78 + (4*t^4.879)/g1^8 + (2*t^4.978)/g1^18 + t^5.077/g1^28 + t^5.275/g1^48 + g1^60*t^5.406 + g1^50*t^5.505 + g1^30*t^5.703 + 6*g1^20*t^5.802 + g1^10*t^5.901 - 3*t^6. + (2*t^6.099)/g1^10 + g1^108*t^6.13 + t^6.198/g1^20 - (2*t^6.297)/g1^30 + t^6.396/g1^40 + 2*g1^78*t^6.427 + 2*g1^68*t^6.527 + g1^58*t^6.626 + 6*g1^48*t^6.725 + 4*g1^38*t^6.824 + 4*g1^28*t^6.923 + 8*g1^18*t^7.022 + 5*g1^8*t^7.121 + (4*t^7.22)/g1^2 + (8*t^7.319)/g1^12 + t^7.418/g1^22 + g1^96*t^7.449 + t^7.517/g1^32 + g1^86*t^7.548 + (2*t^7.616)/g1^42 + t^7.715/g1^52 + g1^66*t^7.746 + 6*g1^56*t^7.845 + t^7.913/g1^72 + 2*g1^46*t^7.944 - g1^36*t^8.043 + 7*g1^26*t^8.142 + g1^144*t^8.174 + 5*g1^16*t^8.242 - 7*g1^6*t^8.341 - (2*t^8.44)/g1^4 + 2*g1^114*t^8.471 - t^8.539/g1^14 + 2*g1^104*t^8.57 - (5*t^8.638)/g1^24 + g1^94*t^8.669 - t^8.737/g1^34 + 6*g1^84*t^8.768 + 4*g1^74*t^8.867 - (2*t^8.935)/g1^54 + 4*g1^64*t^8.966 - t^4.22/(g1^2*y) - (g1^34*t^6.263)/y - (2*g1^4*t^6.56)/y - t^6.659/(g1^6*y) - t^6.858/(g1^26*y) + (2*g1^42*t^7.384)/y + (2*g1^32*t^7.483)/y + (g1^22*t^7.582)/y + (2*g1^12*t^7.681)/y + (5*g1^2*t^7.78)/y + (3*t^7.879)/(g1^8*y) + (2*t^7.978)/(g1^18*y) + (2*t^8.077)/(g1^28*y) + t^8.176/(g1^38*y) - (g1^70*t^8.307)/y + (g1^60*t^8.406)/y + (g1^50*t^8.505)/y - (2*g1^40*t^8.604)/y + (g1^30*t^8.703)/y + (5*g1^20*t^8.802)/y - (2*g1^10*t^8.901)/y - (t^4.22*y)/g1^2 - g1^34*t^6.263*y - 2*g1^4*t^6.56*y - (t^6.659*y)/g1^6 - (t^6.858*y)/g1^26 + 2*g1^42*t^7.384*y + 2*g1^32*t^7.483*y + g1^22*t^7.582*y + 2*g1^12*t^7.681*y + 5*g1^2*t^7.78*y + (3*t^7.879*y)/g1^8 + (2*t^7.978*y)/g1^18 + (2*t^8.077*y)/g1^28 + (t^8.176*y)/g1^38 - g1^70*t^8.307*y + g1^60*t^8.406*y + g1^50*t^8.505*y - 2*g1^40*t^8.604*y + g1^30*t^8.703*y + 5*g1^20*t^8.802*y - 2*g1^10*t^8.901*y

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
4448	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }M_{4}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}X_{1}$ + ${ }M_{5}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{6}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{2}M_{7}$ + ${ }M_{3}M_{6}$ + ${ }M_{4}X_{2}$	0.5208	0.6488	0.8028	[X:[1.7143, 1.4286], M:[0.2857, 1.2381, 0.8571, 0.5714, 0.8571, 1.1429, 0.7619], q:[0.8095, 0.9048], qb:[0.2381, 0.5238], phi:[0.381]]	2*t^2.286 + 2*t^2.571 + t^3.143 + t^3.429 + 2*t^4.286 + 4*t^4.571 + 3*t^4.857 + 2*t^5.143 + 2*t^5.429 + 3*t^5.714 - 2*t^6. - t^4.143/y - t^4.143*y	detail	{a: 25/48, c: 109/168, X1: 12/7, X2: 10/7, M1: 2/7, M2: 26/21, M3: 6/7, M4: 4/7, M5: 6/7, M6: 8/7, M7: 16/21, q1: 17/21, q2: 19/21, qb1: 5/21, qb2: 11/21, phi1: 8/21}

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
1356	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }M_{4}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}X_{1}$ + ${ }M_{5}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{6}\phi_{1}\tilde{q}_{1}^{2}$	0.6571	0.8278	0.7938	[X:[1.5587], M:[0.4413, 1.1862, 0.7794, 0.8826, 0.7794, 0.6761], q:[0.7966, 0.7622], qb:[0.4585, 0.3553], phi:[0.4069]]	t^2.028 + 2*t^2.338 + t^2.441 + t^2.648 + t^3.352 + t^3.455 + t^3.559 + t^3.765 + t^4.057 + 2*t^4.366 + t^4.47 + t^4.573 + 5*t^4.676 + t^4.779 + 2*t^4.883 + 2*t^4.986 + t^5.295 + t^5.381 + t^5.484 + t^5.587 + t^5.69 + 5*t^5.794 + 2*t^5.897 - 2*t^6. - t^4.221/y - t^4.221*y	detail