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
59440	SU3adj1nf2	${}q_{1}q_{2}\tilde{q}_{1}^{2}$ + ${ }M_{1}\phi_{1}q_{1}\tilde{q}_{2}$ + ${ }M_{1}\phi_{1}^{3}$ + ${ }M_{2}\phi_{1}q_{1}\tilde{q}_{1}$	1.4506	1.7067	0.8499	[X:[], M:[0.8957, 0.6872], q:[0.3891, 0.4996], qb:[0.5557, 0.3471], phi:[0.3681]]	[X:[], M:[[-3, 3], [-9, 9]], q:[[2, -8], [-14, 8]], qb:[[6, 0], [0, 6]], phi:[[1, -1]]]	2

Relevant Operators	Marginal Operators	$n_{marginal}$$-$$|F_{IR}|$	Superconformal Index	Refined index
${}M_{2}$, ${ }\phi_{1}^{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }q_{2}\tilde{q}_{2}$, ${ }M_{1}$, ${ }q_{1}\tilde{q}_{1}$, ${ }q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{3}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{2}^{2}$, ${ }M_{2}\phi_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{2}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{4}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{2}$, ${ }q_{1}^{2}\tilde{q}_{2}^{2}$, ${ }M_{2}q_{2}\tilde{q}_{2}$, ${ }M_{1}M_{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$, ${ }q_{1}q_{2}\tilde{q}_{2}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}^{2}$, ${ }M_{1}\phi_{1}^{2}$, ${ }M_{2}q_{1}\tilde{q}_{1}$, ${ }M_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}^{2}q_{2}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{1}$, ${ }q_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{2}^{2}\tilde{q}_{2}^{2}$, ${ }M_{2}q_{2}\tilde{q}_{1}$, ${ }M_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}q_{2}^{2}$, ${ }M_{1}^{2}$, ${ }M_{2}\phi_{1}^{3}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$, ${ }q_{1}q_{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}\tilde{q}_{2}$, ${ }\phi_{1}^{5}$, ${ }M_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}^{3}q_{1}\tilde{q}_{2}$, ${ }M_{2}\phi_{1}q_{2}\tilde{q}_{2}$, ${ }q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{3}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}q_{2}\tilde{q}_{2}^{2}$, ${ }\phi_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}^{2}$	${}$	-2	t^2.06 + 2*t^2.21 + t^2.54 + t^2.69 + t^2.83 + t^3.17 + t^3.31 + t^3.64 + t^4.12 + 3*t^4.27 + 4*t^4.42 + t^4.6 + 4*t^4.75 + t^4.85 + 3*t^4.9 + t^4.94 + 3*t^5.04 + t^5.08 + 2*t^5.23 + t^5.27 + 5*t^5.37 + t^5.48 + 3*t^5.52 + 2*t^5.71 + 4*t^5.85 + t^5.96 - 2*t^6. + t^6.04 + t^6.15 + 2*t^6.18 + 4*t^6.33 + t^6.37 + t^6.44 + 7*t^6.48 + t^6.58 + 6*t^6.63 + t^6.66 - t^6.77 + 7*t^6.81 + t^6.92 + 11*t^6.96 + 3*t^7.06 + 4*t^7.1 + t^7.14 + 3*t^7.15 - t^7.21 + 6*t^7.25 + 6*t^7.29 + t^7.33 + t^7.39 + 7*t^7.44 + 4*t^7.48 + t^7.54 + 12*t^7.58 + t^7.62 + 3*t^7.69 + 5*t^7.73 + 3*t^7.77 + 2*t^7.81 + 10*t^7.91 + t^7.96 + 2*t^8.02 + 8*t^8.06 + t^8.1 + 4*t^8.17 - 4*t^8.21 + 6*t^8.25 + 3*t^8.36 + 9*t^8.39 - t^8.4 + t^8.43 + 3*t^8.5 + 7*t^8.54 + 4*t^8.58 + 2*t^8.65 + 11*t^8.69 + 2*t^8.72 - 2*t^8.73 + 2*t^8.79 + 4*t^8.83 + 7*t^8.87 + t^8.88 + 2*t^8.91 - t^8.94 - t^4.1/y - t^5.21/y - t^6.17/y - (2*t^6.31)/y - t^6.64/y - t^6.79/y - t^6.94/y - t^7.42/y + t^7.6/y + (2*t^7.75)/y + (3*t^7.9)/y + (2*t^8.04)/y + t^8.23/y + t^8.37/y - t^8.52/y + t^8.71/y - t^4.1*y - t^5.21*y - t^6.17*y - 2*t^6.31*y - t^6.64*y - t^6.79*y - t^6.94*y - t^7.42*y + t^7.6*y + 2*t^7.75*y + 3*t^7.9*y + 2*t^8.04*y + t^8.23*y + t^8.37*y - t^8.52*y + t^8.71*y	(g2^9*t^2.06)/g1^9 + (2*g1^2*t^2.21)/g2^2 + (g2^14*t^2.54)/g1^14 + (g2^3*t^2.69)/g1^3 + (g1^8*t^2.83)/g2^8 + (g2^8*t^3.17)/g1^8 + (g1^3*t^3.31)/g2^3 + (g2^13*t^3.64)/g1^13 + (g2^18*t^4.12)/g1^18 + (3*g2^7*t^4.27)/g1^7 + (4*g1^4*t^4.42)/g2^4 + (g2^23*t^4.6)/g1^23 + (4*g2^12*t^4.75)/g1^12 + g1^7*g2^11*t^4.85 + (3*g2*t^4.9)/g1 + t^4.94/(g1^9*g2^9) + (3*g1^10*t^5.04)/g2^10 + (g2^28*t^5.08)/g1^28 + (2*g2^17*t^5.23)/g1^17 + (g2^7*t^5.27)/g1^25 + (5*g2^6*t^5.37)/g1^6 + g1^13*g2^5*t^5.48 + (3*g1^5*t^5.52)/g2^5 + (2*g2^22*t^5.71)/g1^22 + (4*g2^11*t^5.85)/g1^11 + g1^8*g2^10*t^5.96 - 2*t^6. + t^6.04/(g1^8*g2^10) + (g1^11*t^6.15)/g2^11 + (2*g2^27*t^6.18)/g1^27 + (4*g2^16*t^6.33)/g1^16 + (g2^6*t^6.37)/g1^24 + g1^3*g2^15*t^6.44 + (7*g2^5*t^6.48)/g1^5 + g1^14*g2^4*t^6.58 + (6*g1^6*t^6.63)/g2^6 + (g2^32*t^6.66)/g1^32 - (g1^17*t^6.77)/g2^17 + (g1^9*t^6.81)/g2^27 + (6*g2^21*t^6.81)/g1^21 + (g2^20*t^6.92)/g1^2 + (11*g2^10*t^6.96)/g1^10 + 3*g1^9*g2^9*t^7.06 + (4*g1*t^7.1)/g2 + (g2^37*t^7.14)/g1^37 + (3*t^7.15)/(g1^7*g2^11) - (g1^20*t^7.21)/g2^2 + (6*g1^12*t^7.25)/g2^12 + (6*g2^26*t^7.29)/g1^26 + (g2^16*t^7.33)/g1^34 + (g2^25*t^7.39)/g1^7 + (7*g2^15*t^7.44)/g1^15 + (4*g2^5*t^7.48)/g1^23 + g1^4*g2^14*t^7.54 + (12*g2^4*t^7.58)/g1^4 + (g2^42*t^7.62)/g1^42 + 3*g1^15*g2^3*t^7.69 + (5*g1^7*t^7.73)/g2^7 + (3*g2^31*t^7.77)/g1^31 + (2*g2^21*t^7.81)/g1^39 + (10*g2^20*t^7.91)/g1^20 + (g2^10*t^7.96)/g1^28 + (2*g2^19*t^8.02)/g1 + (8*g2^9*t^8.06)/g1^9 + t^8.1/(g1^17*g2) + 4*g1^10*g2^8*t^8.17 - (4*g1^2*t^8.21)/g2^2 + (3*t^8.25)/(g1^6*g2^12) + (3*g2^36*t^8.25)/g1^36 + (3*g1^13*t^8.36)/g2^13 + (9*g2^25*t^8.39)/g1^25 - (g1^5*t^8.4)/g2^23 + (g2^15*t^8.43)/g1^33 + (3*g2^24*t^8.5)/g1^6 + (7*g2^14*t^8.54)/g1^14 + (4*g2^4*t^8.58)/g1^22 + 2*g1^5*g2^13*t^8.65 + (11*g2^3*t^8.69)/g1^3 + (2*g2^41*t^8.72)/g1^41 - (2*t^8.73)/(g1^11*g2^7) + 2*g1^16*g2^2*t^8.79 + (4*g1^8*t^8.83)/g2^8 + (7*g2^30*t^8.87)/g1^30 + t^8.88/g2^18 + (2*g2^20*t^8.91)/g1^38 - (g1^27*t^8.94)/g2^9 - (2*g1^19*t^8.98)/g2^19 + (2*g2^29*t^8.98)/g1^11 - (g1*t^4.1)/(g2*y) - (g1^2*t^5.21)/(g2^2*y) - (g2^8*t^6.17)/(g1^8*y) - (2*g1^3*t^6.31)/(g2^3*y) - (g2^13*t^6.64)/(g1^13*y) - (g2^2*t^6.79)/(g1^2*y) - (g1^9*t^6.94)/(g2^9*y) - (g1^4*t^7.42)/(g2^4*y) + (g2^23*t^7.6)/(g1^23*y) + (2*g2^12*t^7.75)/(g1^12*y) + (3*g2*t^7.9)/(g1*y) + (2*g1^10*t^8.04)/(g2^10*y) + (g2^17*t^8.23)/(g1^17*y) + (g2^6*t^8.37)/(g1^6*y) - (g1^5*t^8.52)/(g2^5*y) + (g2^22*t^8.71)/(g1^22*y) - (g1*t^4.1*y)/g2 - (g1^2*t^5.21*y)/g2^2 - (g2^8*t^6.17*y)/g1^8 - (2*g1^3*t^6.31*y)/g2^3 - (g2^13*t^6.64*y)/g1^13 - (g2^2*t^6.79*y)/g1^2 - (g1^9*t^6.94*y)/g2^9 - (g1^4*t^7.42*y)/g2^4 + (g2^23*t^7.6*y)/g1^23 + (2*g2^12*t^7.75*y)/g1^12 + (3*g2*t^7.9*y)/g1 + (2*g1^10*t^8.04*y)/g2^10 + (g2^17*t^8.23*y)/g1^17 + (g2^6*t^8.37*y)/g1^6 - (g1^5*t^8.52*y)/g2^5 + (g2^22*t^8.71*y)/g1^22

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
61194	${}q_{1}q_{2}\tilde{q}_{1}^{2}$ + ${ }M_{1}\phi_{1}q_{1}\tilde{q}_{2}$ + ${ }M_{1}\phi_{1}^{3}$ + ${ }M_{2}\phi_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$	1.361	1.5892	0.8564	[X:[], M:[0.9565, 0.8696], q:[0.2826, 0.7174], qb:[0.5, 0.413], phi:[0.3478]]	2*t^2.09 + t^2.35 + t^2.61 + t^2.87 + t^3.13 + t^3.39 + t^3.65 + 4*t^4.17 + 4*t^4.43 + 3*t^4.7 + t^4.89 + 3*t^4.96 + t^5.02 + 4*t^5.22 + t^5.28 + 5*t^5.48 + t^5.67 + 4*t^5.74 + t^5.93 - t^6. - t^4.04/y - t^5.09/y - t^4.04*y - t^5.09*y	detail	{a: 132471/97336, c: 154689/97336, M1: 22/23, M2: 20/23, q1: 13/46, q2: 33/46, qb1: 1/2, qb2: 19/46, phi1: 8/23}

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
57733	SU3adj1nf2	${}q_{1}q_{2}\tilde{q}_{1}^{2}$ + ${ }M_{1}\phi_{1}q_{1}\tilde{q}_{2}$ + ${ }M_{1}\phi_{1}^{3}$	1.4299	1.6663	0.8581	[X:[], M:[0.8964], q:[0.3877, 0.5019], qb:[0.5552, 0.348], phi:[0.3679]]	2*t^2.21 + t^2.55 + t^2.69 + t^2.83 + t^3.17 + t^3.31 + t^3.65 + t^3.93 + t^4.27 + 4*t^4.41 + 3*t^4.76 + t^4.86 + 2*t^4.9 + t^4.94 + 3*t^5.04 + t^5.1 + t^5.24 + t^5.28 + 4*t^5.38 + t^5.48 + 3*t^5.52 + t^5.72 + 4*t^5.86 + t^5.96 - 2*t^6. - t^4.1/y - t^5.21/y - t^4.1*y - t^5.21*y	detail