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
48290	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{3}M_{4}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{5}\phi_{1}^{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$	0.7038	0.8701	0.8089	[M:[0.6699, 0.6699, 1.0, 1.0, 1.165, 0.9223], q:[0.7913, 0.5388], qb:[0.5388, 0.4612], phi:[0.4175]]	[M:[[1, 15], [-1, 1], [-1, -7], [1, 7], [0, -4], [0, 14]], q:[[0, -1], [-1, -14]], qb:[[1, 0], [0, 7]], phi:[[0, 2]]]

Relevant Operators	Marginal Operators	$n_{marginal}$$-$$|F_{IR}|$	Superconformal Index	Refined index
${}M_{2}$, ${ }M_{1}$, ${ }M_{6}$, ${ }M_{3}$, ${ }M_{4}$, ${ }M_{5}$, ${ }q_{1}\tilde{q}_{2}$, ${ }M_{2}^{2}$, ${ }M_{1}M_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{2}M_{6}$, ${ }M_{1}M_{6}$, ${ }M_{2}M_{3}$, ${ }M_{1}M_{3}$, ${ }M_{2}M_{4}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{1}M_{4}$, ${ }M_{2}M_{5}$, ${ }M_{1}M_{5}$, ${ }M_{6}^{2}$, ${ }M_{3}M_{6}$, ${ }M_{4}M_{6}$	${}M_{3}^{2}$, ${ }M_{4}^{2}$	-2	2*t^2.01 + t^2.767 + 2*t^3. + t^3.495 + t^3.757 + 4*t^4.019 + 2*t^4.252 + 3*t^4.485 + 2*t^4.777 + 4*t^5.01 + 2*t^5.505 + t^5.534 + 2*t^5.767 - 2*t^6. + 6*t^6.029 - 2*t^6.233 + 4*t^6.262 + 6*t^6.495 + t^6.524 + 4*t^6.786 - t^6.99 + 8*t^7.019 + 3*t^7.252 + 2*t^7.485 + 4*t^7.515 + 2*t^7.544 + 4*t^7.777 - 4*t^8.01 + 9*t^8.039 - 5*t^8.243 + 8*t^8.272 + t^8.301 - 2*t^8.476 + 11*t^8.505 + 2*t^8.534 + 2*t^8.738 - 3*t^8.767 + 6*t^8.796 + 5*t^8.971 - t^4.252/y - (2*t^6.262)/y + t^7.485/y + (2*t^7.777)/y + (4*t^8.01)/y + (2*t^8.243)/y - (3*t^8.272)/y + (2*t^8.505)/y + (4*t^8.767)/y - t^4.252*y - 2*t^6.262*y + t^7.485*y + 2*t^7.777*y + 4*t^8.01*y + 2*t^8.243*y - 3*t^8.272*y + 2*t^8.505*y + 4*t^8.767*y	(g2*t^2.01)/g1 + g1*g2^15*t^2.01 + g2^14*t^2.767 + t^3./(g1*g2^7) + g1*g2^7*t^3. + t^3.495/g2^4 + g2^6*t^3.757 + (g2^2*t^4.019)/g1^2 + 2*g2^16*t^4.019 + g1^2*g2^30*t^4.019 + t^4.252/(g1*g2^5) + g1*g2^9*t^4.252 + t^4.485/(g1^2*g2^26) + t^4.485/g2^12 + g1^2*g2^2*t^4.485 + (g2^15*t^4.777)/g1 + g1*g2^29*t^4.777 + t^5.01/(g1^2*g2^6) + 2*g2^8*t^5.01 + g1^2*g2^22*t^5.01 + t^5.505/(g1*g2^3) + g1*g2^11*t^5.505 + g2^28*t^5.534 + (g2^7*t^5.767)/g1 + g1*g2^21*t^5.767 - 2*t^6. + (g2^3*t^6.029)/g1^3 + (2*g2^17*t^6.029)/g1 + 2*g1*g2^31*t^6.029 + g1^3*g2^45*t^6.029 - t^6.233/(g1*g2^21) - (g1*t^6.233)/g2^7 + t^6.262/(g1^2*g2^4) + 2*g2^10*t^6.262 + g1^2*g2^24*t^6.262 + t^6.495/(g1^3*g2^25) + (2*t^6.495)/(g1*g2^11) + 2*g1*g2^3*t^6.495 + g1^3*g2^17*t^6.495 + g2^20*t^6.524 + (g2^16*t^6.786)/g1^2 + 2*g2^30*t^6.786 + g1^2*g2^44*t^6.786 - t^6.99/g2^8 + t^7.019/(g1^3*g2^5) + (3*g2^9*t^7.019)/g1 + 3*g1*g2^23*t^7.019 + g1^3*g2^37*t^7.019 + t^7.252/(g1^2*g2^12) + g2^2*t^7.252 + g1^2*g2^16*t^7.252 + t^7.485/(g1^3*g2^33) + g1^3*g2^9*t^7.485 + t^7.515/(g1^2*g2^2) + 2*g2^12*t^7.515 + g1^2*g2^26*t^7.515 + (g2^29*t^7.544)/g1 + g1*g2^43*t^7.544 + (g2^8*t^7.777)/g1^2 + 2*g2^22*t^7.777 + g1^2*g2^36*t^7.777 - (2*g2*t^8.01)/g1 - 2*g1*g2^15*t^8.01 + (g2^4*t^8.039)/g1^4 + (2*g2^18*t^8.039)/g1^2 + 3*g2^32*t^8.039 + 2*g1^2*g2^46*t^8.039 + g1^4*g2^60*t^8.039 - t^8.243/(g1^2*g2^20) - (3*t^8.243)/g2^6 - g1^2*g2^8*t^8.243 + t^8.272/(g1^3*g2^3) + (3*g2^11*t^8.272)/g1 + 3*g1*g2^25*t^8.272 + g1^3*g2^39*t^8.272 + g2^42*t^8.301 - t^8.476/(g1*g2^27) - (g1*t^8.476)/g2^13 + t^8.505/(g1^4*g2^24) + (3*t^8.505)/(g1^2*g2^10) + 3*g2^4*t^8.505 + 3*g1^2*g2^18*t^8.505 + g1^4*g2^32*t^8.505 + (g2^21*t^8.534)/g1 + g1*g2^35*t^8.534 + t^8.738/(g1^3*g2^31) + g1^3*g2^11*t^8.738 - 3*g2^14*t^8.767 + (g2^17*t^8.796)/g1^3 + (2*g2^31*t^8.796)/g1 + 2*g1*g2^45*t^8.796 + g1^3*g2^59*t^8.796 + t^8.971/(g1^4*g2^52) + t^8.971/(g1^2*g2^38) + t^8.971/g2^24 + (g1^2*t^8.971)/g2^10 + g1^4*g2^4*t^8.971 - (g2^2*t^4.252)/y - (g2^3*t^6.262)/(g1*y) - (g1*g2^17*t^6.262)/y + t^7.485/(g2^12*y) + (g2^15*t^7.777)/(g1*y) + (g1*g2^29*t^7.777)/y + t^8.01/(g1^2*g2^6*y) + (2*g2^8*t^8.01)/y + (g1^2*g2^22*t^8.01)/y + t^8.243/(g1*g2^13*y) + (g1*g2*t^8.243)/y - (g2^4*t^8.272)/(g1^2*y) - (g2^18*t^8.272)/y - (g1^2*g2^32*t^8.272)/y + t^8.505/(g1*g2^3*y) + (g1*g2^11*t^8.505)/y + (2*g2^7*t^8.767)/(g1*y) + (2*g1*g2^21*t^8.767)/y - g2^2*t^4.252*y - (g2^3*t^6.262*y)/g1 - g1*g2^17*t^6.262*y + (t^7.485*y)/g2^12 + (g2^15*t^7.777*y)/g1 + g1*g2^29*t^7.777*y + (t^8.01*y)/(g1^2*g2^6) + 2*g2^8*t^8.01*y + g1^2*g2^22*t^8.01*y + (t^8.243*y)/(g1*g2^13) + g1*g2*t^8.243*y - (g2^4*t^8.272*y)/g1^2 - g2^18*t^8.272*y - g1^2*g2^32*t^8.272*y + (t^8.505*y)/(g1*g2^3) + g1*g2^11*t^8.505*y + (2*g2^7*t^8.767*y)/g1 + 2*g1*g2^21*t^8.767*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
52235	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{3}M_{4}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{5}\phi_{1}^{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{7}q_{1}\tilde{q}_{2}$	0.723	0.9046	0.7992	[M:[0.6752, 0.6752, 1.0, 1.0, 1.1624, 0.9316, 0.7436], q:[0.7906, 0.5342], qb:[0.5342, 0.4658], phi:[0.4188]]	2*t^2.026 + t^2.231 + t^2.795 + 2*t^3. + t^3.487 + 4*t^4.051 + 4*t^4.256 + 4*t^4.461 + 2*t^4.821 + 5*t^5.026 + 2*t^5.231 + 2*t^5.513 + t^5.59 + t^5.718 - 2*t^6. - t^4.256/y - t^4.256*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
46733	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{3}M_{4}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{5}\phi_{1}^{2}$	0.6991	0.86	0.8129	[M:[0.7009, 0.7009, 1.0, 1.0, 1.1495], q:[0.7874, 0.5117], qb:[0.5117, 0.4883], phi:[0.4252]]	2*t^2.103 + 2*t^3. + t^3.07 + t^3.449 + t^3.827 + 4*t^4.206 + 2*t^4.276 + 3*t^4.346 + 4*t^5.103 + 2*t^5.173 + 2*t^5.551 - 2*t^6. - t^4.276/y - t^4.276*y	detail