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
57688	SU3adj1nf2	${}q_{1}q_{2}\tilde{q}_{1}^{2}$ + ${ }M_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}q_{2}\tilde{q}_{2}$	1.4956	1.7251	0.867	[X:[], M:[0.9839, 0.688], q:[0.5147, 0.4824], qb:[0.5014, 0.4952], phi:[0.3344]]	[X:[], M:[[1, 6, 0], [-1, -1, -5]], q:[[-1, -12, 0], [1, 0, 0]], qb:[[0, 6, 0], [0, 0, 6]], phi:[[0, 1, -1]]]	3

Relevant Operators	Marginal Operators	$n_{marginal}$$-$$|F_{IR}|$	Superconformal Index	Refined index
${}\phi_{1}^{2}$, ${ }M_{2}$, ${ }q_{2}\tilde{q}_{2}$, ${ }M_{1}$, ${ }q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{3}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{4}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{2}\phi_{1}^{2}$, ${ }M_{2}^{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$, ${ }M_{1}\phi_{1}^{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$, ${ }M_{2}q_{2}\tilde{q}_{2}$, ${ }M_{1}M_{2}$, ${ }\phi_{1}^{5}$, ${ }M_{2}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{1}$, ${ }M_{2}\phi_{1}^{3}$, ${ }M_{2}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}q_{2}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}^{2}q_{2}$, ${ }q_{2}^{2}\tilde{q}_{2}^{2}$, ${ }M_{1}q_{2}\tilde{q}_{2}$, ${ }q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{1}^{2}$, ${ }M_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{3}q_{2}\tilde{q}_{2}$, ${ }M_{1}\phi_{1}^{3}$, ${ }\phi_{1}^{3}q_{2}\tilde{q}_{1}$, ${ }q_{1}q_{2}\tilde{q}_{2}^{2}$, ${ }M_{1}q_{1}\tilde{q}_{2}$	${}$	-4	t^2.01 + t^2.06 + t^2.93 + 2*t^2.95 + t^3.01 + t^3.03 + t^3.95 + t^4.01 + t^4.03 + t^4.05 + t^4.07 + t^4.13 + 2*t^4.94 + 3*t^4.96 + t^5. + 3*t^5.02 + 2*t^5.04 + t^5.05 + t^5.07 + t^5.09 + t^5.44 + t^5.48 + t^5.5 + t^5.54 + t^5.87 + 2*t^5.88 + 2*t^5.9 + t^5.94 + 4*t^5.96 + t^5.98 - 4*t^6. + 2*t^6.02 + 2*t^6.04 + 2*t^6.06 + t^6.08 + t^6.12 + t^6.13 + t^6.19 + t^6.44 + t^6.48 + t^6.5 + t^6.54 + t^6.89 + t^6.91 + 2*t^6.95 + 4*t^6.96 + t^6.97 + 3*t^6.98 + t^7. + 3*t^7.02 + 3*t^7.04 + 4*t^7.06 + 4*t^7.08 + t^7.1 + t^7.12 + t^7.14 + t^7.16 + t^7.35 + t^7.45 + t^7.47 + 2*t^7.48 - t^7.49 + 2*t^7.5 + t^7.52 + 2*t^7.54 + t^7.56 + t^7.6 + t^7.64 + 2*t^7.87 + 5*t^7.89 + 4*t^7.91 + 3*t^7.95 + 9*t^7.97 + 4*t^7.99 - 2*t^8.01 + 3*t^8.02 + 3*t^8.05 - 2*t^8.06 + 3*t^8.07 + 4*t^8.08 + t^8.1 + 2*t^8.12 + t^8.14 + t^8.18 + t^8.2 + t^8.26 + t^8.37 + t^8.39 + 2*t^8.43 + 2*t^8.45 + t^8.47 + 2*t^8.49 + 2*t^8.51 + t^8.55 + t^8.57 - t^8.59 + t^8.8 + 2*t^8.82 + 2*t^8.84 + 2*t^8.85 + t^8.88 + 4*t^8.89 + t^8.9 + 5*t^8.91 - 5*t^8.93 - 5*t^8.95 + 9*t^8.97 + 7*t^8.99 - t^4./y - t^5.01/y - t^6.01/y - t^6.07/y - t^6.94/y - (2*t^6.95)/y - (2*t^7.01)/y - t^7.03/y + t^7.94/y + (2*t^8.)/y + t^8.02/y + t^8.09/y - t^8.13/y + (2*t^8.88)/y + t^8.9/y + t^8.96/y + (2*t^8.98)/y - t^4.*y - t^5.01*y - t^6.01*y - t^6.07*y - t^6.94*y - 2*t^6.95*y - 2*t^7.01*y - t^7.03*y + t^7.94*y + 2*t^8.*y + t^8.02*y + t^8.09*y - t^8.13*y + 2*t^8.88*y + t^8.9*y + t^8.96*y + 2*t^8.98*y	(g2^2*t^2.01)/g3^2 + t^2.06/(g1*g2*g3^5) + g1*g3^6*t^2.93 + 2*g1*g2^6*t^2.95 + (g2^3*t^3.01)/g3^3 + (g3^6*t^3.03)/(g1*g2^12) + (g1*g2^7*t^3.95)/g3 + (g2^4*t^4.01)/g3^4 + (g3^5*t^4.03)/(g1*g2^11) + t^4.05/(g1*g2^5*g3) + (g2*t^4.07)/(g1*g3^7) + t^4.13/(g1^2*g2^2*g3^10) + 2*g1*g2^2*g3^4*t^4.94 + (3*g1*g2^8*t^4.96)/g3^2 + (g3*t^5.)/g2 + (3*g2^5*t^5.02)/g3^5 + (2*g3^4*t^5.04)/(g1*g2^10) + t^5.05/(g1*g2^4*g3^2) + (g2^2*t^5.07)/(g1*g3^8) + (g3*t^5.09)/(g1^2*g2^13) + (g1*t^5.44)/(g2^11*g3) + g2^7*g3^11*t^5.48 + g2^13*g3^5*t^5.5 + t^5.54/(g1*g2^23*g3) + g1^2*g3^12*t^5.87 + 2*g1^2*g2^6*g3^6*t^5.88 + 2*g1^2*g2^12*t^5.9 + g1*g2^3*g3^3*t^5.94 + (3*g1*g2^9*t^5.96)/g3^3 + (g3^12*t^5.96)/g2^12 + (g3^6*t^5.98)/g2^6 - 4*t^6. + (2*g2^6*t^6.02)/g3^6 + (2*g3^3*t^6.04)/(g1*g2^9) + t^6.06/(g1*g2^3*g3^3) + (g3^12*t^6.06)/(g1^2*g2^24) + (g2^3*t^6.08)/(g1*g3^9) + t^6.12/(g1^2*g2^6*g3^6) + t^6.13/(g1^2*g3^12) + t^6.19/(g1^3*g2^3*g3^15) + (g1*t^6.44)/(g2^10*g3^2) + g2^8*g3^10*t^6.48 + g2^14*g3^4*t^6.5 + t^6.54/(g1*g2^22*g3^2) + g1^2*g2^7*g3^5*t^6.89 + (g1^2*g2^13*t^6.91)/g3 + 2*g1*g2^4*g3^2*t^6.95 + (4*g1*g2^10*t^6.96)/g3^4 + (g3^11*t^6.97)/g2^11 + (3*g3^5*t^6.98)/g2^5 + (g2*t^7.)/g3 + (3*g2^7*t^7.02)/g3^7 + (3*g3^2*t^7.04)/(g1*g2^8) + (3*t^7.06)/(g1*g2^2*g3^4) + (g3^11*t^7.06)/(g1^2*g2^23) + (3*g2^4*t^7.08)/(g1*g3^10) + (g3^5*t^7.08)/(g1^2*g2^17) + t^7.1/(g1^2*g2^11*g3) + t^7.12/(g1^2*g2^5*g3^7) + (g2*t^7.14)/(g1^2*g3^13) + t^7.16/(g1^3*g2^14*g3^4) + (g1^3*g2^3*t^7.35)/g3^3 + (2*g1*t^7.45)/(g2^9*g3^3) - g1*g2^18*g3^6*t^7.45 + g2^3*g3^15*t^7.47 + 2*g2^9*g3^9*t^7.48 - t^7.49/g2^18 + 2*g2^15*g3^3*t^7.5 + (g2^21*t^7.52)/g3^3 + (2*t^7.54)/(g1*g2^21*g3^3) + (g2^12*t^7.56)/g1 + t^7.6/(g1^2*g2^24*g3^6) + t^7.64/(g1^3*g2^33*g3^3) + 2*g1^2*g2^2*g3^10*t^7.87 + 5*g1^2*g2^8*g3^4*t^7.89 + (4*g1^2*g2^14*t^7.91)/g3^2 + 3*g1*g2^5*g3*t^7.95 + (6*g1*g2^11*t^7.97)/g3^5 + (3*g3^10*t^7.97)/g2^10 + (4*g3^4*t^7.99)/g2^4 - (2*g2^2*t^8.01)/g3^2 + (3*g2^8*t^8.02)/g3^8 + (3*g3*t^8.05)/(g1*g2^7) - (2*t^8.06)/(g1*g2*g3^5) + (3*g3^10*t^8.07)/(g1^2*g2^22) + (2*g2^5*t^8.08)/(g1*g3^11) + (2*g3^4*t^8.08)/(g1^2*g2^16) + t^8.1/(g1^2*g2^10*g3^2) + t^8.12/(g1^2*g2^4*g3^8) + (g3^7*t^8.12)/(g1^3*g2^25) + (g2^2*t^8.14)/(g1^2*g3^14) + t^8.18/(g1^3*g2^7*g3^11) + t^8.2/(g1^3*g2*g3^17) + t^8.26/(g1^4*g2^4*g3^20) + (g1^2*g3^5*t^8.37)/g2^11 + (g1^2*t^8.39)/(g2^5*g3) - (g1^2*g2*t^8.41)/g3^7 + g1*g2^7*g3^17*t^8.41 + 2*g1*g2^13*g3^11*t^8.43 + (2*g1*t^8.45)/(g2^8*g3^4) - (g1*g2^25*t^8.47)/g3 + (2*g3^5*t^8.47)/g2^23 + 2*g2^10*g3^8*t^8.49 - t^8.51/(g2^11*g3^7) + 2*g2^16*g3^2*t^8.51 + (g3^17*t^8.51)/(g1*g2^5) + (2*t^8.55)/(g1*g2^20*g3^4) - (g2^7*g3^5*t^8.55)/g1 + (g3^5*t^8.57)/(g1^2*g2^35) - t^8.59/(g1^2*g2^29*g3) + g1^3*g3^18*t^8.8 + 2*g1^3*g2^6*g3^12*t^8.82 + 2*g1^3*g2^12*g3^6*t^8.84 + 2*g1^3*g2^18*t^8.85 + g1^2*g2^3*g3^9*t^8.88 + 4*g1^2*g2^9*g3^3*t^8.89 + (g1*g3^18*t^8.9)/g2^12 + (4*g1^2*g2^15*t^8.91)/g3^3 + (g1*g3^12*t^8.91)/g2^6 - 5*g1*g3^6*t^8.93 - 5*g1*g2^6*t^8.95 + (6*g1*g2^12*t^8.97)/g3^6 + (3*g3^9*t^8.97)/g2^9 + (6*g3^3*t^8.99)/g2^3 + (g3^18*t^8.99)/(g1*g2^24) - (g2*t^4.)/(g3*y) - (g2^2*t^5.01)/(g3^2*y) - (g2^3*t^6.01)/(g3^3*y) - t^6.07/(g1*g3^6*y) - (g1*g2*g3^5*t^6.94)/y - (2*g1*g2^7*t^6.95)/(g3*y) - (2*g2^4*t^7.01)/(g3^4*y) - (g3^5*t^7.03)/(g1*g2^11*y) + (g1*g2^2*g3^4*t^7.94)/y + (2*g3*t^8.)/(g2*y) + (g2^5*t^8.02)/(g3^5*y) + (g3*t^8.09)/(g1^2*g2^13*y) - t^8.13/(g1^2*g2*g3^11*y) + (2*g1^2*g2^6*g3^6*t^8.88)/y + (g1^2*g2^12*t^8.9)/y + (g3^12*t^8.96)/(g2^12*y) + (2*g3^6*t^8.98)/(g2^6*y) - (g2*t^4.*y)/g3 - (g2^2*t^5.01*y)/g3^2 - (g2^3*t^6.01*y)/g3^3 - (t^6.07*y)/(g1*g3^6) - g1*g2*g3^5*t^6.94*y - (2*g1*g2^7*t^6.95*y)/g3 - (2*g2^4*t^7.01*y)/g3^4 - (g3^5*t^7.03*y)/(g1*g2^11) + g1*g2^2*g3^4*t^7.94*y + (2*g3*t^8.*y)/g2 + (g2^5*t^8.02*y)/g3^5 + (g3*t^8.09*y)/(g1^2*g2^13) - (t^8.13*y)/(g1^2*g2*g3^11) + 2*g1^2*g2^6*g3^6*t^8.88*y + g1^2*g2^12*t^8.9*y + (g3^12*t^8.96*y)/g2^12 + (2*g3^6*t^8.98*y)/g2^6

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
60600	${}q_{1}q_{2}\tilde{q}_{1}^{2}$ + ${ }M_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{3}$	1.4358	1.6752	0.8571	[X:[], M:[0.9296, 0.9014], q:[0.5189, 0.3781], qb:[0.5515, 0.3543], phi:[0.3662]]	2*t^2.2 + t^2.62 + t^2.7 + 2*t^2.79 + t^3.3 + t^3.72 + t^3.89 + t^4.31 + 4*t^4.39 + 3*t^4.82 + t^4.88 + 2*t^4.9 + t^4.92 + 5*t^4.99 + t^5.24 + t^5.32 + t^5.35 + 3*t^5.41 + t^5.47 + 4*t^5.49 + 2*t^5.58 + 3*t^5.92 + t^5.98 - 3*t^6. - t^4.1/y - t^5.2/y - t^4.1*y - t^5.2*y	detail
58605	${}q_{1}q_{2}\tilde{q}_{1}^{2}$ + ${ }M_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{2}^{2}$ + ${ }q_{2}\tilde{q}_{2}X_{1}$	1.3538	1.5721	0.8612	[X:[1.373], M:[0.8651, 1.0], q:[0.5771, 0.3074], qb:[0.5577, 0.3196], phi:[0.373]]	t^2.24 + 2*t^2.6 + t^2.69 + t^3. + t^3.36 + t^3.71 + t^3.81 + 2*t^4.12 + t^4.48 + t^4.52 + t^4.69 + t^4.71 + 3*t^4.83 + 2*t^4.93 + 2*t^5.19 + t^5.24 + t^5.29 + t^5.38 + t^5.42 + t^5.5 + 3*t^5.6 + t^5.64 + t^5.69 + t^5.81 + t^5.83 + 3*t^5.95 - 3*t^6. - t^4.12/y - t^5.24/y - t^4.12*y - t^5.24*y	detail
58731	${}q_{1}q_{2}\tilde{q}_{1}^{2}$ + ${ }M_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }\phi_{1}\tilde{q}_{1}^{2}\tilde{q}_{2}$ + ${ }\phi_{1}^{2}X_{1}$	1.4591	1.6672	0.8752	[X:[1.3344], M:[0.9846, 0.6794], q:[0.4607, 0.4299], qb:[0.5547, 0.5578], phi:[0.3328]]	t^2.04 + 2*t^2.95 + t^2.96 + t^3. + t^3.06 + t^3.95 + t^4. + t^4.04 + t^4.05 + t^4.08 + t^4.95 + 2*t^4.96 + 2*t^4.99 + t^5. + t^5.03 + t^5.04 + 2*t^5.05 + t^5.09 + 2*t^5.91 + 2*t^5.92 + t^5.93 + 2*t^5.95 + 2*t^5.96 + t^5.99 - 3*t^6. - t^4./y - t^5./y - t^4.*y - t^5.*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
47920	SU3adj1nf2	${}q_{1}q_{2}\tilde{q}_{1}^{2}$ + ${ }M_{1}q_{1}\tilde{q}_{1}$	1.4749	1.6855	0.8751	[M:[0.9816], q:[0.5159, 0.4791], qb:[0.5025, 0.4919], phi:[0.3351]]	t^2.011 + t^2.913 + 2*t^2.945 + t^3.016 + t^3.023 + t^3.918 + t^3.95 + t^4.021 + t^4.028 + t^4.06 + 2*t^4.924 + 3*t^4.956 + t^5.027 + 2*t^5.034 + t^5.066 + t^5.428 + t^5.464 + t^5.496 + t^5.538 + t^5.826 + 2*t^5.858 + 2*t^5.89 + 2*t^5.929 + t^5.936 + 3*t^5.961 + t^5.968 - 4*t^6. - t^4.005/y - t^5.011/y - t^4.005*y - t^5.011*y	detail