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
57684	SU3adj1nf2	${}M_{1}\phi_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{3}$	1.464	1.7323	0.8451	[X:[], M:[0.6741, 0.8539], q:[0.4719, 0.382], qb:[0.4719, 0.382], phi:[0.382]]	[X:[], M:[[7, 0, 7], [-3, 0, -3]], q:[[-8, -1, -8], [2, 0, 0]], qb:[[0, 1, 0], [0, 0, 2]], phi:[[1, 0, 1]]]	3

Relevant Operators	Marginal Operators	$n_{marginal}$$-$$|F_{IR}|$	Superconformal Index	Refined index
${}M_{1}$, ${ }\phi_{1}^{2}$, ${ }q_{2}\tilde{q}_{2}$, ${ }q_{2}\tilde{q}_{1}$, ${ }M_{2}$, ${ }q_{1}\tilde{q}_{1}$, ${ }\phi_{1}^{3}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{1}^{2}$, ${ }M_{1}\phi_{1}^{2}$, ${ }M_{1}q_{2}\tilde{q}_{2}$, ${ }M_{1}q_{1}\tilde{q}_{2}$, ${ }M_{1}M_{2}$, ${ }\phi_{1}^{4}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$, ${ }q_{2}^{2}\tilde{q}_{2}^{2}$, ${ }\phi_{1}q_{1}q_{2}^{2}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{2}$, ${ }q_{1}q_{2}\tilde{q}_{2}^{2}$, ${ }M_{2}\phi_{1}^{2}$, ${ }M_{1}q_{1}\tilde{q}_{1}$, ${ }M_{2}q_{2}\tilde{q}_{2}$, ${ }q_{2}^{2}\tilde{q}_{1}^{2}$, ${ }\phi_{1}q_{1}^{2}q_{2}$, ${ }M_{2}q_{1}\tilde{q}_{2}$, ${ }M_{2}^{2}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{1}$, ${ }q_{1}q_{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{2}q_{1}\tilde{q}_{1}$, ${ }M_{1}\phi_{1}^{3}$, ${ }q_{1}^{2}\tilde{q}_{1}^{2}$, ${ }\phi_{1}^{5}$, ${ }\phi_{1}^{3}q_{2}\tilde{q}_{2}$	${}\phi_{1}^{2}q_{1}q_{2}^{2}$, ${ 2}\phi_{1}^{3}q_{2}\tilde{q}_{1}$, ${ 2}\phi_{1}^{3}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}q_{2}\tilde{q}_{2}^{2}$, ${ }\phi_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}^{2}$	5	t^2.02 + 2*t^2.29 + 3*t^2.56 + t^2.83 + t^3.44 + 2*t^3.71 + t^4.04 + 2*t^4.31 + 7*t^4.58 + 11*t^4.85 + 11*t^5.12 + 3*t^5.39 + t^5.46 + t^5.66 + 2*t^5.73 + 5*t^6. + t^6.07 + 7*t^6.27 + 2*t^6.34 + 2*t^6.54 + 7*t^6.61 + 18*t^6.88 + 29*t^7.15 + 35*t^7.42 + t^7.48 + 31*t^7.69 + 2*t^7.75 + 11*t^7.96 + t^8.02 + t^8.09 + 3*t^8.22 + 6*t^8.29 + 2*t^8.36 + t^8.49 + 10*t^8.56 + 7*t^8.63 + 16*t^8.83 + 18*t^8.9 - t^4.15/y - t^5.29/y - t^6.17/y - (2*t^6.44)/y - (3*t^6.71)/y - t^6.98/y + t^7.31/y + (2*t^7.58)/y + (5*t^7.85)/y + (5*t^8.12)/y - t^8.19/y + (3*t^8.39)/y - t^8.46/y - (3*t^8.73)/y - t^4.15*y - t^5.29*y - t^6.17*y - 2*t^6.44*y - 3*t^6.71*y - t^6.98*y + t^7.31*y + 2*t^7.58*y + 5*t^7.85*y + 5*t^8.12*y - t^8.19*y + 3*t^8.39*y - t^8.46*y - 3*t^8.73*y	g1^7*g3^7*t^2.02 + 2*g1^2*g3^2*t^2.29 + g1^2*g2*t^2.56 + t^2.56/(g1^8*g2*g3^6) + t^2.56/(g1^3*g3^3) + t^2.83/(g1^8*g3^8) + g1^3*g3^3*t^3.44 + t^3.71/(g1^7*g2*g3^5) + g1^3*g2*g3*t^3.71 + g1^14*g3^14*t^4.04 + 2*g1^9*g3^9*t^4.31 + (g3*t^4.58)/(g1*g2) + 5*g1^4*g3^4*t^4.58 + g1^9*g2*g3^7*t^4.58 + t^4.85/(g1^3*g2*g3^7) + (3*t^4.85)/(g1^6*g2*g3^4) + (3*t^4.85)/(g1*g3) + 3*g1^4*g2*g3^2*t^4.85 + g1*g2*g3^5*t^4.85 + g1^4*g2^2*t^5.12 + t^5.12/(g1^13*g2^2*g3^15) + t^5.12/(g1^16*g2^2*g3^12) + t^5.12/(g1^11*g2*g3^9) + (5*t^5.12)/(g1^6*g3^6) + (g2*t^5.12)/(g1*g3^3) + g1*g2^2*g3^3*t^5.12 + t^5.39/(g1^16*g2*g3^14) + t^5.39/(g1^11*g3^11) + (g2*t^5.39)/(g1^6*g3^8) + g1^10*g3^10*t^5.46 + t^5.66/(g1^16*g3^16) + 2*g1^5*g3^5*t^5.73 - 3*t^6. + t^6./(g1^2*g2*g3^6) + (3*t^6.)/(g1^5*g2*g3^3) + 3*g1^5*g2*g3^3*t^6. + g1^2*g2*g3^6*t^6. + g1^21*g3^21*t^6.07 + t^6.27/(g1^12*g2^2*g3^14) + t^6.27/(g1^15*g2^2*g3^11) + (3*t^6.27)/(g1^5*g3^5) + g1^5*g2^2*g3*t^6.27 + g1^2*g2^2*g3^4*t^6.27 + 2*g1^16*g3^16*t^6.34 + t^6.54/(g1^15*g2*g3^13) + (g2*t^6.54)/(g1^5*g3^7) + (g1^6*g3^8*t^6.61)/g2 + 5*g1^11*g3^11*t^6.61 + g1^16*g2*g3^14*t^6.61 + (g1^4*t^6.88)/g2 + g1^9*g3^3*t^6.88 + (2*g1*g3^3*t^6.88)/g2 + 10*g1^6*g3^6*t^6.88 + g1^3*g3^9*t^6.88 + 2*g1^11*g2*g3^9*t^6.88 + g1^8*g2*g3^12*t^6.88 + t^7.15/(g1^9*g2^2*g3^5) + (3*t^7.15)/(g1*g2*g3^5) + (8*t^7.15)/(g1^4*g2*g3^2) + 5*g1*g3*t^7.15 + 8*g1^6*g2*g3^4*t^7.15 + 3*g1^3*g2*g3^7*t^7.15 + g1^11*g2^2*g3^7*t^7.15 + (4*t^7.42)/(g1^11*g2^2*g3^13) + (4*t^7.42)/(g1^14*g2^2*g3^10) + t^7.42/(g1*g3^7) + (2*t^7.42)/(g1^9*g2*g3^7) + (13*t^7.42)/(g1^4*g3^4) + t^7.42/(g1^7*g3) + (2*g1*g2*t^7.42)/g3 + 4*g1^6*g2^2*g3^2*t^7.42 + 4*g1^3*g2^2*g3^5*t^7.42 + g1^17*g3^17*t^7.48 + (g2^2*t^7.69)/g1^2 + g1^6*g2^3*t^7.69 + (2*t^7.69)/(g1^21*g2^3*g3^21) + t^7.69/(g1^24*g2^3*g3^18) + t^7.69/(g1^16*g2^2*g3^18) + t^7.69/(g1^19*g2^2*g3^15) + (2*t^7.69)/(g1^11*g2*g3^15) + (6*t^7.69)/(g1^14*g2*g3^12) + (5*t^7.69)/(g1^9*g3^9) + (6*g2*t^7.69)/(g1^4*g3^6) + (2*g2*t^7.69)/(g1^7*g3^3) + (g1*g2^2*t^7.69)/g3^3 + 2*g1^3*g2^3*g3^3*t^7.69 + 2*g1^12*g3^12*t^7.75 + t^7.96/(g1^21*g2^2*g3^23) + t^7.96/(g1^24*g2^2*g3^20) + t^7.96/(g1^19*g2*g3^17) + (5*t^7.96)/(g1^14*g3^14) + (g2*t^7.96)/(g1^9*g3^11) + (g2^2*t^7.96)/(g1^4*g3^8) + (g2^2*t^7.96)/(g1^7*g3^5) + g1^7*g3^7*t^8.02 + g1^28*g3^28*t^8.09 + t^8.22/(g1^24*g2*g3^22) + t^8.22/(g1^19*g3^19) + (g2*t^8.22)/(g1^14*g3^16) - t^8.29/(g1^5*g2^2*g3^7) + (3*t^8.29)/(g2*g3^4) - (g1^5*t^8.29)/g3 + (6*t^8.29)/(g1^3*g2*g3) - 8*g1^2*g3^2*t^8.29 - (g3^5*t^8.29)/g1 + 6*g1^7*g2*g3^5*t^8.29 + 3*g1^4*g2*g3^8*t^8.29 - g1^9*g2^2*g3^11*t^8.29 + 2*g1^23*g3^23*t^8.36 + t^8.49/(g1^24*g3^24) + (2*t^8.56)/g1^6 - 5*g1^2*g2*t^8.56 - t^8.56/(g1^15*g2^3*g3^15) + (4*t^8.56)/(g1^10*g2^2*g3^12) + (4*t^8.56)/(g1^13*g2^2*g3^9) - (2*t^8.56)/(g1^5*g2*g3^9) + (2*t^8.56)/g3^6 - (5*t^8.56)/(g1^8*g2*g3^6) + (6*t^8.56)/(g1^3*g3^3) - (2*g2*g3^3*t^8.56)/g1 + 4*g1^7*g2^2*g3^3*t^8.56 + 4*g1^4*g2^2*g3^6*t^8.56 - g1^9*g2^3*g3^9*t^8.56 + (g1^13*g3^15*t^8.63)/g2 + 5*g1^18*g3^18*t^8.63 + g1^23*g2*g3^21*t^8.63 + (2*t^8.83)/(g1^20*g2^3*g3^20) + t^8.83/(g1^23*g2^3*g3^17) - t^8.83/(g1^15*g2^2*g3^17) + (2*t^8.83)/(g1^10*g2*g3^14) + (6*t^8.83)/(g1^13*g2*g3^11) - (4*t^8.83)/(g1^8*g3^8) + (6*g2*t^8.83)/(g1^3*g3^5) + (2*g2*t^8.83)/(g1^6*g3^2) - (g2^2*g3*t^8.83)/g1 + g1^7*g2^3*g3*t^8.83 + 2*g1^4*g2^3*g3^4*t^8.83 + (g1^11*g3^7*t^8.9)/g2 + g1^16*g3^10*t^8.9 + (2*g1^8*g3^10*t^8.9)/g2 + 10*g1^13*g3^13*t^8.9 + g1^10*g3^16*t^8.9 + 2*g1^18*g2*g3^16*t^8.9 + g1^15*g2*g3^19*t^8.9 - (g1*g3*t^4.15)/y - (g1^2*g3^2*t^5.29)/y - (g1^8*g3^8*t^6.17)/y - (2*g1^3*g3^3*t^6.44)/y - t^6.71/(g1^7*g2*g3^5*y) - t^6.71/(g1^2*g3^2*y) - (g1^3*g2*g3*t^6.71)/y - t^6.98/(g1^7*g3^7*y) + (g1^9*g3^9*t^7.31)/y + (g3*t^7.58)/(g1*g2*y) + (g1^9*g2*g3^7*t^7.58)/y + t^7.85/(g1^6*g2*g3^4*y) + (3*t^7.85)/(g1*g3*y) + (g1^4*g2*g3^2*t^7.85)/y + t^8.12/(g1^11*g2*g3^9*y) + (3*t^8.12)/(g1^6*g3^6*y) + (g2*t^8.12)/(g1*g3^3*y) - (g1^15*g3^15*t^8.19)/y + t^8.39/(g1^16*g2*g3^14*y) + t^8.39/(g1^11*g3^11*y) + (g2*t^8.39)/(g1^6*g3^8*y) - (g1^10*g3^10*t^8.46)/y - (3*g1^5*g3^5*t^8.73)/y - g1*g3*t^4.15*y - g1^2*g3^2*t^5.29*y - g1^8*g3^8*t^6.17*y - 2*g1^3*g3^3*t^6.44*y - (t^6.71*y)/(g1^7*g2*g3^5) - (t^6.71*y)/(g1^2*g3^2) - g1^3*g2*g3*t^6.71*y - (t^6.98*y)/(g1^7*g3^7) + g1^9*g3^9*t^7.31*y + (g3*t^7.58*y)/(g1*g2) + g1^9*g2*g3^7*t^7.58*y + (t^7.85*y)/(g1^6*g2*g3^4) + (3*t^7.85*y)/(g1*g3) + g1^4*g2*g3^2*t^7.85*y + (t^8.12*y)/(g1^11*g2*g3^9) + (3*t^8.12*y)/(g1^6*g3^6) + (g2*t^8.12*y)/(g1*g3^3) - g1^15*g3^15*t^8.19*y + (t^8.39*y)/(g1^16*g2*g3^14) + (t^8.39*y)/(g1^11*g3^11) + (g2*t^8.39*y)/(g1^6*g3^8) - g1^10*g3^10*t^8.46*y - 3*g1^5*g3^5*t^8.73*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
60065	${}M_{1}\phi_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{3}$ + ${ }M_{1}q_{1}\tilde{q}_{2}$ + ${ }q_{2}\tilde{q}_{1}X_{1}$	1.2142	1.4566	0.8336	[X:[1.5887], M:[0.8788, 0.7662], q:[0.5244, 0.2257], qb:[0.1856, 0.5968], phi:[0.4113]]	t^2.13 + t^2.3 + 3*t^2.47 + t^2.64 + t^3.36 + 2*t^3.7 + t^4.14 + t^4.16 + t^4.26 + t^4.43 + 6*t^4.6 + 4*t^4.77 + 8*t^4.94 + t^5.06 + 2*t^5.1 + t^5.27 + 3*t^5.37 + t^5.39 + t^5.49 + t^5.66 + t^5.73 + 6*t^5.83 - 3*t^6. - t^4.23/y - t^5.47/y - t^4.23*y - t^5.47*y	detail
60628	${}M_{1}\phi_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{3}$ + ${ }M_{1}^{2}$ + ${ }q_{1}\tilde{q}_{1}X_{1}$	1.3043	1.5632	0.8344	[X:[1.4286], M:[1.0, 0.7143], q:[0.2857, 0.4286], qb:[0.2857, 0.4286], phi:[0.4286]]	3*t^2.14 + 2*t^2.57 + t^3. + 2*t^3.43 + t^3.86 + 10*t^4.29 + 10*t^4.71 + 7*t^5.14 + 8*t^5.57 + 6*t^6. - t^4.29/y - t^5.57/y - t^4.29*y - t^5.57*y	detail	{a: 3579/2744, c: 8579/5488, X1: 10/7, M1: 1, M2: 5/7, q1: 2/7, q2: 3/7, qb1: 2/7, qb2: 3/7, phi1: 3/7}
58616	${}M_{1}\phi_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{3}$ + ${ }M_{3}\phi_{1}^{3}$	1.477	1.7554	0.8414	[X:[], M:[0.6862, 0.8488, 0.8488], q:[0.465, 0.3837], qb:[0.465, 0.3837], phi:[0.3837]]	t^2.06 + 2*t^2.3 + 4*t^2.55 + t^2.79 + 2*t^3.7 + t^4.12 + 2*t^4.36 + 8*t^4.6 + 13*t^4.85 + 15*t^5.09 + 4*t^5.34 + t^5.58 + 2*t^6. - t^4.15/y - t^5.3/y - t^4.15*y - t^5.3*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
47919	SU3adj1nf2	${}M_{1}\phi_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}q_{2}\tilde{q}_{2}$	1.5159	1.7673	0.8577	[M:[0.6744, 0.6744], q:[0.4942, 0.4942], qb:[0.4942, 0.4942], phi:[0.3372]]	3*t^2.023 + 4*t^2.965 + t^3.035 + 2*t^3.977 + 6*t^4.046 + 16*t^4.988 + 3*t^5.058 + 4*t^5.459 + 10*t^5.93 + 2*t^6. - t^4.012/y - t^5.023/y - t^4.012*y - t^5.023*y	detail