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
1027	SU2adj1nf2	${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}q_{2}\tilde{q}_{2}$ + ${ }M_{4}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{4}$ + ${ }M_{5}q_{1}\tilde{q}_{1}$ + ${ }M_{6}q_{1}q_{2}$ + ${ }M_{7}q_{1}\tilde{q}_{2}$	0.723	0.9046	0.7992	[M:[1.0, 1.1624, 0.9316, 1.0, 0.7436, 0.6752, 0.6752], q:[0.7906, 0.5342], qb:[0.4658, 0.5342], phi:[0.4188]]	[M:[[7, 1], [-4, 0], [14, 0], [-7, -1], [-6, 0], [15, 1], [1, -1]], q:[[-1, 0], [-14, -1]], qb:[[7, 0], [0, 1]], phi:[[2, 0]]]	2

Relevant Operators	Marginal Operators	$n_{marginal}$$-$$|F_{IR}|$	Superconformal Index	Refined index
${}M_{7}$, ${ }M_{6}$, ${ }M_{5}$, ${ }M_{3}$, ${ }M_{4}$, ${ }M_{1}$, ${ }M_{2}$, ${ }M_{6}M_{7}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{7}^{2}$, ${ }M_{6}^{2}$, ${ }M_{5}M_{7}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{5}M_{6}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{5}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{3}M_{7}$, ${ }M_{3}M_{6}$, ${ }M_{3}M_{5}$, ${ }M_{4}M_{6}$, ${ }M_{1}M_{7}$, ${ }M_{4}M_{7}$, ${ }M_{1}M_{6}$, ${ }M_{4}M_{5}$, ${ }M_{1}M_{5}$, ${ }M_{2}M_{7}$, ${ }M_{2}M_{6}$, ${ }M_{3}^{2}$, ${ }M_{2}M_{5}$	${}M_{1}^{2}$, ${ }M_{4}^{2}$	-2	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. + 6*t^6.077 - 2*t^6.205 + 8*t^6.282 + 10*t^6.487 + 4*t^6.692 - 2*t^6.769 + 4*t^6.846 - t^6.974 + 10*t^7.051 + 7*t^7.256 + 4*t^7.461 + 3*t^7.539 + 2*t^7.616 + 2*t^7.744 + t^7.821 + t^7.949 - 6*t^8.026 + 9*t^8.103 - 10*t^8.231 + 14*t^8.308 + t^8.385 - 4*t^8.436 + 19*t^8.513 + 12*t^8.718 - 7*t^8.795 + 6*t^8.872 + 9*t^8.923 - t^4.256/y - (2*t^6.282)/y - t^6.487/y + (2*t^7.256)/y + t^7.461/y + (2*t^7.821)/y + (6*t^8.026)/y + (4*t^8.231)/y - (3*t^8.308)/y + (2*t^8.795)/y - t^4.256*y - 2*t^6.282*y - t^6.487*y + 2*t^7.256*y + t^7.461*y + 2*t^7.821*y + 6*t^8.026*y + 4*t^8.231*y - 3*t^8.308*y + 2*t^8.795*y	(g1*t^2.026)/g2 + g1^15*g2*t^2.026 + t^2.231/g1^6 + g1^14*t^2.795 + t^3./(g1^7*g2) + g1^7*g2*t^3. + t^3.487/g1^4 + 2*g1^16*t^4.051 + (g1^2*t^4.051)/g2^2 + g1^30*g2^2*t^4.051 + (2*t^4.256)/(g1^5*g2) + 2*g1^9*g2*t^4.256 + (2*t^4.461)/g1^12 + t^4.461/(g1^26*g2^2) + g1^2*g2^2*t^4.461 + (g1^15*t^4.821)/g2 + g1^29*g2*t^4.821 + 3*g1^8*t^5.026 + t^5.026/(g1^6*g2^2) + g1^22*g2^2*t^5.026 + t^5.231/(g1^13*g2) + g1*g2*t^5.231 + t^5.513/(g1^3*g2) + g1^11*g2*t^5.513 + g1^28*t^5.59 + t^5.718/g1^10 - 2*t^6. + (g1^3*t^6.077)/g2^3 + (2*g1^17*t^6.077)/g2 + 2*g1^31*g2*t^6.077 + g1^45*g2^3*t^6.077 - t^6.205/(g1^21*g2) - (g2*t^6.205)/g1^7 + 4*g1^10*t^6.282 + (2*t^6.282)/(g1^4*g2^2) + 2*g1^24*g2^2*t^6.282 + t^6.487/(g1^25*g2^3) + (4*t^6.487)/(g1^11*g2) + 4*g1^3*g2*t^6.487 + g1^17*g2^3*t^6.487 + (2*t^6.692)/g1^18 + t^6.692/(g1^32*g2^2) + (g2^2*t^6.692)/g1^4 - t^6.769/(g1*g2) - g1^13*g2*t^6.769 + 2*g1^30*t^6.846 + (g1^16*t^6.846)/g2^2 + g1^44*g2^2*t^6.846 - t^6.974/g1^8 + t^7.051/(g1^5*g2^3) + (4*g1^9*t^7.051)/g2 + 4*g1^23*g2*t^7.051 + g1^37*g2^3*t^7.051 + 3*g1^2*t^7.256 + (2*t^7.256)/(g1^12*g2^2) + 2*g1^16*g2^2*t^7.256 + t^7.461/(g1^33*g2^3) + t^7.461/(g1^19*g2) + (g2*t^7.461)/g1^5 + g1^9*g2^3*t^7.461 + g1^12*t^7.539 + t^7.539/(g1^2*g2^2) + g1^26*g2^2*t^7.539 + (g1^29*t^7.616)/g2 + g1^43*g2*t^7.616 + t^7.744/(g1^9*g2) + g1^5*g2*t^7.744 + g1^22*t^7.821 + t^7.949/g1^16 - (3*g1*t^8.026)/g2 - 3*g1^15*g2*t^8.026 + 3*g1^32*t^8.103 + (g1^4*t^8.103)/g2^4 + (2*g1^18*t^8.103)/g2^2 + 2*g1^46*g2^2*t^8.103 + g1^60*g2^4*t^8.103 - (6*t^8.231)/g1^6 - (2*t^8.231)/(g1^20*g2^2) - 2*g1^8*g2^2*t^8.231 + (2*t^8.308)/(g1^3*g2^3) + (5*g1^11*t^8.308)/g2 + 5*g1^25*g2*t^8.308 + 2*g1^39*g2^3*t^8.308 + g1^42*t^8.385 - (2*t^8.436)/(g1^27*g2) - (2*g2*t^8.436)/g1^13 + 7*g1^4*t^8.513 + t^8.513/(g1^24*g2^4) + (5*t^8.513)/(g1^10*g2^2) + 5*g1^18*g2^2*t^8.513 + g1^32*g2^4*t^8.513 + (2*t^8.718)/(g1^31*g2^3) + (4*t^8.718)/(g1^17*g2) + (4*g2*t^8.718)/g1^3 + 2*g1^11*g2^3*t^8.718 - 5*g1^14*t^8.795 - t^8.795/g2^2 - g1^28*g2^2*t^8.795 + (g1^17*t^8.872)/g2^3 + (2*g1^31*t^8.872)/g2 + 2*g1^45*g2*t^8.872 + g1^59*g2^3*t^8.872 + (3*t^8.923)/g1^24 + t^8.923/(g1^52*g2^4) + (2*t^8.923)/(g1^38*g2^2) + (2*g2^2*t^8.923)/g1^10 + g1^4*g2^4*t^8.923 - (g1^2*t^4.256)/y - (g1^3*t^6.282)/(g2*y) - (g1^17*g2*t^6.282)/y - t^6.487/(g1^4*y) + t^7.256/(g1^5*g2*y) + (g1^9*g2*t^7.256)/y + t^7.461/(g1^12*y) + (g1^15*t^7.821)/(g2*y) + (g1^29*g2*t^7.821)/y + (4*g1^8*t^8.026)/y + t^8.026/(g1^6*g2^2*y) + (g1^22*g2^2*t^8.026)/y + (2*t^8.231)/(g1^13*g2*y) + (2*g1*g2*t^8.231)/y - (g1^18*t^8.308)/y - (g1^4*t^8.308)/(g2^2*y) - (g1^32*g2^2*t^8.308)/y + (g1^7*t^8.795)/(g2*y) + (g1^21*g2*t^8.795)/y - g1^2*t^4.256*y - (g1^3*t^6.282*y)/g2 - g1^17*g2*t^6.282*y - (t^6.487*y)/g1^4 + (t^7.256*y)/(g1^5*g2) + g1^9*g2*t^7.256*y + (t^7.461*y)/g1^12 + (g1^15*t^7.821*y)/g2 + g1^29*g2*t^7.821*y + 4*g1^8*t^8.026*y + (t^8.026*y)/(g1^6*g2^2) + g1^22*g2^2*t^8.026*y + (2*t^8.231*y)/(g1^13*g2) + 2*g1*g2*t^8.231*y - g1^18*t^8.308*y - (g1^4*t^8.308*y)/g2^2 - g1^32*g2^2*t^8.308*y + (g1^7*t^8.795*y)/g2 + g1^21*g2*t^8.795*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
1603	${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}q_{2}\tilde{q}_{2}$ + ${ }M_{4}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{4}$ + ${ }M_{5}q_{1}\tilde{q}_{1}$ + ${ }M_{6}q_{1}q_{2}$ + ${ }M_{7}q_{1}\tilde{q}_{2}$ + ${ }M_{3}^{2}$	0.7188	0.8974	0.801	[M:[1.0, 1.1429, 1.0, 1.0, 0.7143, 0.7143, 0.7143], q:[0.7857, 0.5], qb:[0.5, 0.5], phi:[0.4286]]	3*t^2.143 + 3*t^3. + t^3.429 + 12*t^4.286 + 9*t^5.143 + 3*t^5.571 - 3*t^6. - t^4.286/y - t^4.286*y	detail	{a: 3945/5488, c: 4925/5488, M1: 1, M2: 8/7, M3: 1, M4: 1, M5: 5/7, M6: 5/7, M7: 5/7, q1: 11/14, q2: 1/2, qb1: 1/2, qb2: 1/2, phi1: 3/7}

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
645	SU2adj1nf2	${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}q_{2}\tilde{q}_{2}$ + ${ }M_{4}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{4}$ + ${ }M_{5}q_{1}\tilde{q}_{1}$ + ${ }M_{6}q_{1}q_{2}$	0.7022	0.8636	0.8131	[M:[0.9986, 1.1618, 0.9336, 1.0014, 0.7428, 0.6749], q:[0.7905, 0.5347], qb:[0.4668, 0.5318], phi:[0.4191]]	t^2.025 + t^2.228 + t^2.801 + t^2.996 + t^3.004 + t^3.486 + t^3.967 + t^4.049 + t^4.058 + 2*t^4.253 + t^4.262 + t^4.448 + 2*t^4.457 + t^4.465 + t^4.825 + t^5.02 + 2*t^5.029 + t^5.224 + t^5.233 + t^5.51 + t^5.601 + t^5.714 + t^5.991 - 2*t^6. - t^4.257/y - t^4.257*y	detail