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
1750	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{3}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$	0.6264	0.8156	0.7681	[M:[0.9845, 1.0466, 0.7252, 0.7563], q:[0.7461, 0.2694], qb:[0.4976, 0.4558], phi:[0.5078]]	[M:[[4, 4], [-12, -12], [-5, 7], [-13, -1]], q:[[1, 1], [-5, -5]], qb:[[12, 0], [0, 12]], phi:[[-2, -2]]]	2

Relevant Operators	Marginal Operators	$n_{marginal}$$-$$|F_{IR}|$	Superconformal Index	Refined index
${}M_{3}$, ${ }q_{2}\tilde{q}_{2}$, ${ }M_{4}$, ${ }q_{2}\tilde{q}_{1}$, ${ }M_{1}$, ${ }\phi_{1}^{2}$, ${ }M_{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{3}^{2}$, ${ }M_{3}q_{2}\tilde{q}_{2}$, ${ }q_{2}^{2}\tilde{q}_{2}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{3}M_{4}$, ${ }M_{4}q_{2}\tilde{q}_{2}$, ${ }M_{3}q_{2}\tilde{q}_{1}$, ${ }q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{4}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }M_{4}q_{2}\tilde{q}_{1}$, ${ }q_{2}^{2}\tilde{q}_{1}^{2}$, ${ }M_{1}M_{3}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{1}M_{4}$, ${ }M_{3}\phi_{1}^{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{2}M_{3}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{3}\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{2}^{3}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$, ${ }M_{2}M_{4}$, ${ }M_{4}\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{2}^{3}\tilde{q}_{1}$, ${ }M_{3}q_{1}\tilde{q}_{2}$, ${ }q_{1}q_{2}\tilde{q}_{2}^{2}$, ${ }M_{4}q_{1}\tilde{q}_{2}$, ${ }M_{3}\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}^{2}\tilde{q}_{2}^{2}$, ${ }M_{1}^{2}$, ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{2}$	${}$	-2	2*t^2.176 + t^2.269 + t^2.301 + t^2.953 + t^3.047 + 2*t^3.14 + t^3.606 + t^3.699 + t^4.258 + 3*t^4.351 + t^4.383 + 2*t^4.445 + 2*t^4.477 + t^4.509 + t^4.538 + t^4.57 + t^4.602 + 2*t^5.129 + 3*t^5.222 + t^5.254 + 4*t^5.316 + t^5.348 + 2*t^5.409 + t^5.441 + 2*t^5.782 + 2*t^5.875 + t^5.907 + t^5.968 - 2*t^6. + t^6.093 - t^6.125 + 2*t^6.187 + 3*t^6.28 + 2*t^6.434 + 5*t^6.527 + 2*t^6.559 + 3*t^6.62 + 4*t^6.652 + t^6.684 + 2*t^6.714 + 3*t^6.746 + t^6.778 + t^6.807 + t^6.81 + 2*t^6.839 - t^6.871 + t^6.903 - t^6.964 + t^7.212 + 4*t^7.305 + 6*t^7.398 + 7*t^7.491 + t^7.523 + t^7.555 + 4*t^7.585 + 2*t^7.617 + t^7.649 + 2*t^7.678 + t^7.71 + t^7.742 + t^7.864 + 4*t^7.957 + 3*t^8.051 + 2*t^8.144 - 4*t^8.176 - t^8.208 + t^8.237 - t^8.269 - 4*t^8.301 + 4*t^8.362 - t^8.394 - t^8.426 + 6*t^8.455 + t^8.487 + t^8.516 + 3*t^8.549 + t^8.581 + 3*t^8.61 + t^8.642 + 7*t^8.703 + 3*t^8.735 + t^8.767 + 5*t^8.796 + 5*t^8.828 + t^8.86 + 3*t^8.889 + t^8.892 + 5*t^8.921 - 3*t^8.953 + 2*t^8.983 + t^8.985 - t^4.523/y - t^6.699/y - t^6.792/y + t^7.351/y + t^7.383/y + (2*t^7.445)/y + (2*t^7.477)/y + t^7.57/y - t^7.663/y + (2*t^8.129)/y + (3*t^8.222)/y + (2*t^8.254)/y + (5*t^8.316)/y + (2*t^8.348)/y + (2*t^8.409)/y + (2*t^8.441)/y + (2*t^8.782)/y + (2*t^8.875)/y + t^8.907/y - t^4.523*y - t^6.699*y - t^6.792*y + t^7.351*y + t^7.383*y + 2*t^7.445*y + 2*t^7.477*y + t^7.57*y - t^7.663*y + 2*t^8.129*y + 3*t^8.222*y + 2*t^8.254*y + 5*t^8.316*y + 2*t^8.348*y + 2*t^8.409*y + 2*t^8.441*y + 2*t^8.782*y + 2*t^8.875*y + t^8.907*y	(2*g2^7*t^2.176)/g1^5 + t^2.269/(g1^13*g2) + (g1^7*t^2.301)/g2^5 + g1^4*g2^4*t^2.953 + t^3.047/(g1^4*g2^4) + (2*t^3.14)/(g1^12*g2^12) + g1*g2^13*t^3.606 + (g2^5*t^3.699)/g1^7 + (g2^22*t^4.258)/g1^2 + (3*g2^14*t^4.351)/g1^10 + g1^10*g2^10*t^4.383 + (2*g2^6*t^4.445)/g1^18 + 2*g1^2*g2^2*t^4.477 + (g1^22*t^4.509)/g2^2 + t^4.538/(g1^26*g2^2) + t^4.57/(g1^6*g2^6) + (g1^14*t^4.602)/g2^10 + (2*g2^11*t^5.129)/g1 + (3*g2^3*t^5.222)/g1^9 + (g1^11*t^5.254)/g2 + (4*t^5.316)/(g1^17*g2^5) + (g1^3*t^5.348)/g2^9 + (2*t^5.409)/(g1^25*g2^13) + t^5.441/(g1^5*g2^17) + (2*g2^20*t^5.782)/g1^4 + (2*g2^12*t^5.875)/g1^12 + g1^8*g2^8*t^5.907 + (g2^4*t^5.968)/g1^20 - 2*t^6. + t^6.093/(g1^8*g2^8) - (g1^12*t^6.125)/g2^12 + (2*t^6.187)/(g1^16*g2^16) + (3*t^6.28)/(g1^24*g2^24) + (2*g2^29*t^6.434)/g1^7 + (5*g2^21*t^6.527)/g1^15 + 2*g1^5*g2^17*t^6.559 + (3*g2^13*t^6.62)/g1^23 + (4*g2^9*t^6.652)/g1^3 + g1^17*g2^5*t^6.684 + (2*g2^5*t^6.714)/g1^31 + (3*g2*t^6.746)/g1^11 + (g1^9*t^6.778)/g2^3 + t^6.807/(g1^39*g2^3) + (g1^29*t^6.81)/g2^7 + (2*t^6.839)/(g1^19*g2^7) - (g1*t^6.871)/g2^11 + (g1^21*t^6.903)/g2^15 - t^6.964/(g1^7*g2^19) + g1^2*g2^26*t^7.212 + (4*g2^18*t^7.305)/g1^6 + (6*g2^10*t^7.398)/g1^14 + (7*g2^2*t^7.491)/g1^22 + t^7.523/(g1^2*g2^2) + (g1^18*t^7.555)/g2^6 + (4*t^7.585)/(g1^30*g2^6) + (2*t^7.617)/(g1^10*g2^10) + (g1^10*t^7.649)/g2^14 + (2*t^7.678)/(g1^38*g2^14) + t^7.71/(g1^18*g2^18) + (g1^2*t^7.742)/g2^22 + (g2^35*t^7.864)/g1 + (4*g2^27*t^7.957)/g1^9 + (3*g2^19*t^8.051)/g1^17 + (2*g2^11*t^8.144)/g1^25 - (4*g2^7*t^8.176)/g1^5 - g1^15*g2^3*t^8.208 + (g2^3*t^8.237)/g1^33 - t^8.269/(g1^13*g2) - (4*g1^7*t^8.301)/g2^5 + (4*t^8.362)/(g1^21*g2^9) - t^8.394/(g1*g2^13) - (g1^19*t^8.426)/g2^17 + (6*t^8.455)/(g1^29*g2^17) + t^8.487/(g1^9*g2^21) + (g2^44*t^8.516)/g1^4 + (3*t^8.549)/(g1^37*g2^25) + t^8.581/(g1^17*g2^29) + (3*g2^36*t^8.61)/g1^12 + g1^8*g2^32*t^8.642 + (7*g2^28*t^8.703)/g1^20 + 3*g2^24*t^8.735 + g1^20*g2^20*t^8.767 + (5*g2^20*t^8.796)/g1^28 + (5*g2^16*t^8.828)/g1^8 + g1^12*g2^12*t^8.86 + (3*g2^12*t^8.889)/g1^36 + g1^32*g2^8*t^8.892 + (5*g2^8*t^8.921)/g1^16 - 3*g1^4*g2^4*t^8.953 + (2*g2^4*t^8.983)/g1^44 + g1^24*t^8.985 - t^4.523/(g1^2*g2^2*y) - (g2^5*t^6.699)/(g1^7*y) - t^6.792/(g1^15*g2^3*y) + (g2^14*t^7.351)/(g1^10*y) + (g1^10*g2^10*t^7.383)/y + (2*g2^6*t^7.445)/(g1^18*y) + (2*g1^2*g2^2*t^7.477)/y + t^7.57/(g1^6*g2^6*y) - t^7.663/(g1^14*g2^14*y) + (2*g2^11*t^8.129)/(g1*y) + (3*g2^3*t^8.222)/(g1^9*y) + (2*g1^11*t^8.254)/(g2*y) + (5*t^8.316)/(g1^17*g2^5*y) + (2*g1^3*t^8.348)/(g2^9*y) + (2*t^8.409)/(g1^25*g2^13*y) + (2*t^8.441)/(g1^5*g2^17*y) + (2*g2^20*t^8.782)/(g1^4*y) + (2*g2^12*t^8.875)/(g1^12*y) + (g1^8*g2^8*t^8.907)/y - (t^4.523*y)/(g1^2*g2^2) - (g2^5*t^6.699*y)/g1^7 - (t^6.792*y)/(g1^15*g2^3) + (g2^14*t^7.351*y)/g1^10 + g1^10*g2^10*t^7.383*y + (2*g2^6*t^7.445*y)/g1^18 + 2*g1^2*g2^2*t^7.477*y + (t^7.57*y)/(g1^6*g2^6) - (t^7.663*y)/(g1^14*g2^14) + (2*g2^11*t^8.129*y)/g1 + (3*g2^3*t^8.222*y)/g1^9 + (2*g1^11*t^8.254*y)/g2 + (5*t^8.316*y)/(g1^17*g2^5) + (2*g1^3*t^8.348*y)/g2^9 + (2*t^8.409*y)/(g1^25*g2^13) + (2*t^8.441*y)/(g1^5*g2^17) + (2*g2^20*t^8.782*y)/g1^4 + (2*g2^12*t^8.875*y)/g1^12 + g1^8*g2^8*t^8.907*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
2755	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{3}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{2}M_{4}$	0.6165	0.8009	0.7697	[M:[0.9469, 1.1592, 0.7347, 0.8408], q:[0.7367, 0.3163], qb:[0.4224, 0.4184], phi:[0.5265]]	2*t^2.204 + t^2.216 + t^2.522 + t^2.841 + t^3.159 + t^3.465 + 2*t^3.478 + t^3.784 + t^4.09 + t^4.102 + t^4.114 + 3*t^4.408 + 2*t^4.42 + t^4.433 + 2*t^4.727 + t^4.739 + 3*t^5.045 + t^5.057 + 3*t^5.363 + t^5.375 + 2*t^5.67 + 5*t^5.682 + t^5.694 + 2*t^5.988 - t^4.58/y - t^4.58*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
223	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{3}\phi_{1}q_{2}\tilde{q}_{1}$	0.6081	0.7817	0.778	[M:[0.9777, 1.0669, 0.7349], q:[0.7444, 0.2779], qb:[0.4761, 0.457], phi:[0.5112]]	2*t^2.205 + t^2.262 + t^2.933 + t^3.067 + 2*t^3.201 + t^3.604 + t^3.662 + t^3.738 + t^4.275 + t^4.333 + t^4.39 + 3*t^4.409 + 2*t^4.467 + t^4.524 + 2*t^5.138 + t^5.195 + 2*t^5.272 + t^5.329 + 3*t^5.405 + t^5.463 + 2*t^5.809 + 3*t^5.866 + t^5.923 + t^5.943 - 2*t^6. - t^4.533/y - t^4.533*y	detail