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
1748	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{3}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{4}q_{1}\tilde{q}_{2}$	0.6255	0.812	0.7703	[M:[0.9851, 1.0448, 0.749, 0.7734], q:[0.7463, 0.2687], qb:[0.4748, 0.4804], phi:[0.5075]]	[M:[[4, 4], [-12, -12], [-5, 7], [-1, -13]], 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
${}q_{2}\tilde{q}_{1}$, ${ }M_{3}$, ${ }q_{2}\tilde{q}_{2}$, ${ }M_{4}$, ${ }M_{1}$, ${ }\phi_{1}^{2}$, ${ }M_{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }q_{2}^{2}\tilde{q}_{1}^{2}$, ${ }M_{3}q_{2}\tilde{q}_{1}$, ${ }q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{3}^{2}$, ${ }M_{3}q_{2}\tilde{q}_{2}$, ${ }q_{2}^{2}\tilde{q}_{2}^{2}$, ${ }M_{4}q_{2}\tilde{q}_{1}$, ${ }M_{3}M_{4}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }M_{4}q_{2}\tilde{q}_{2}$, ${ }M_{4}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{1}M_{3}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{1}M_{4}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$, ${ }M_{3}\phi_{1}^{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$, ${ }M_{4}\phi_{1}^{2}$, ${ }\phi_{1}q_{2}^{3}\tilde{q}_{1}$, ${ }M_{2}M_{3}$, ${ }M_{3}\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{2}^{3}\tilde{q}_{2}$, ${ }M_{2}M_{4}$, ${ }M_{4}\phi_{1}q_{2}^{2}$, ${ }q_{1}q_{2}\tilde{q}_{1}^{2}$, ${ }M_{1}^{2}$, ${ }M_{3}q_{1}\tilde{q}_{1}$	${}$	-2	t^2.23 + 2*t^2.247 + t^2.32 + t^2.955 + t^3.045 + 2*t^3.135 + t^3.663 + t^3.77 + t^4.371 + t^4.388 + t^4.405 + t^4.461 + 2*t^4.478 + 3*t^4.494 + t^4.551 + 2*t^4.567 + t^4.64 + t^5.186 + 2*t^5.202 + 2*t^5.275 + 2*t^5.292 + 2*t^5.365 + 3*t^5.382 + 2*t^5.455 + t^5.894 + 2*t^5.91 - 2*t^6. + t^6.017 + 2*t^6.09 + 2*t^6.179 + 3*t^6.269 + t^6.602 + 2*t^6.618 + t^6.635 + 2*t^6.652 + 2*t^6.691 + 2*t^6.708 + 3*t^6.725 + 4*t^6.741 + t^6.781 + 2*t^6.798 + 2*t^6.814 + t^6.871 + t^6.887 + t^6.904 + t^6.96 + t^7.326 + t^7.416 + t^7.433 + 3*t^7.449 + 2*t^7.506 + 2*t^7.522 + 4*t^7.539 + 3*t^7.595 + 3*t^7.612 + 4*t^7.629 + 2*t^7.685 + 3*t^7.702 + 2*t^7.775 + t^8.034 + t^8.124 + t^8.157 + t^8.174 - 2*t^8.23 - 5*t^8.247 + t^8.264 - 2*t^8.32 + 2*t^8.337 + 3*t^8.41 + 3*t^8.426 + 3*t^8.499 + 4*t^8.516 + 3*t^8.589 + t^8.742 + t^8.759 + t^8.776 + t^8.792 + t^8.809 + t^8.832 + 2*t^8.849 + 2*t^8.865 + t^8.882 + 3*t^8.899 + 2*t^8.922 + 2*t^8.938 - 2*t^8.955 + 3*t^8.972 + 5*t^8.989 - t^4.522/y - t^6.77/y - t^6.843/y + t^7.388/y + (2*t^7.478)/y + t^7.494/y + t^7.551/y + (2*t^7.567)/y - t^7.657/y + t^8.186/y + (3*t^8.202)/y + (3*t^8.275)/y + (2*t^8.292)/y + (3*t^8.365)/y + (4*t^8.382)/y + (2*t^8.455)/y + t^8.894/y + (2*t^8.91)/y + t^8.983/y - t^4.522*y - t^6.77*y - t^6.843*y + t^7.388*y + 2*t^7.478*y + t^7.494*y + t^7.551*y + 2*t^7.567*y - t^7.657*y + t^8.186*y + 3*t^8.202*y + 3*t^8.275*y + 2*t^8.292*y + 3*t^8.365*y + 4*t^8.382*y + 2*t^8.455*y + t^8.894*y + 2*t^8.91*y + t^8.983*y	(g1^7*t^2.23)/g2^5 + (2*g2^7*t^2.247)/g1^5 + t^2.32/(g1*g2^13) + g1^4*g2^4*t^2.955 + t^3.045/(g1^4*g2^4) + (2*t^3.135)/(g1^12*g2^12) + g1^13*g2*t^3.663 + (g2^5*t^3.77)/g1^7 + (g1^22*t^4.371)/g2^2 + g1^10*g2^10*t^4.388 + (g2^22*t^4.405)/g1^2 + (g1^14*t^4.461)/g2^10 + 2*g1^2*g2^2*t^4.478 + (3*g2^14*t^4.494)/g1^10 + (g1^6*t^4.551)/g2^18 + (2*t^4.567)/(g1^6*g2^6) + t^4.64/(g1^2*g2^26) + (g1^11*t^5.186)/g2 + (2*g2^11*t^5.202)/g1 + (2*g1^3*t^5.275)/g2^9 + (2*g2^3*t^5.292)/g1^9 + (2*t^5.365)/(g1^5*g2^17) + (3*t^5.382)/(g1^17*g2^5) + (2*t^5.455)/(g1^13*g2^25) + (g1^20*t^5.894)/g2^4 + 2*g1^8*g2^8*t^5.91 - 2*t^6. + (g2^12*t^6.017)/g1^12 + (2*t^6.09)/(g1^8*g2^8) + (2*t^6.179)/(g1^16*g2^16) + (3*t^6.269)/(g1^24*g2^24) + (g1^29*t^6.602)/g2^7 + 2*g1^17*g2^5*t^6.618 + g1^5*g2^17*t^6.635 + (2*g2^29*t^6.652)/g1^7 + (2*g1^21*t^6.691)/g2^15 + (2*g1^9*t^6.708)/g2^3 + (3*g2^9*t^6.725)/g1^3 + (4*g2^21*t^6.741)/g1^15 + (g1^13*t^6.781)/g2^23 + (2*g1*t^6.798)/g2^11 + (2*g2*t^6.814)/g1^11 + (g1^5*t^6.871)/g2^31 + t^6.887/(g1^7*g2^19) + t^6.904/(g1^19*g2^7) + t^6.96/(g1^3*g2^39) + g1^26*g2^2*t^7.326 + (g1^18*t^7.416)/g2^6 + g1^6*g2^6*t^7.433 + (3*g2^18*t^7.449)/g1^6 + (2*g1^10*t^7.506)/g2^14 + (2*t^7.522)/(g1^2*g2^2) + (4*g2^10*t^7.539)/g1^14 + (3*g1^2*t^7.595)/g2^22 + (3*t^7.612)/(g1^10*g2^10) + (4*g2^2*t^7.629)/g1^22 + (2*t^7.685)/(g1^6*g2^30) + (3*t^7.702)/(g1^18*g2^18) + (2*t^7.775)/(g1^14*g2^38) + (g1^35*t^8.034)/g2 + (g1^27*t^8.124)/g2^9 + g1^3*g2^15*t^8.157 + (g2^27*t^8.174)/g1^9 - (2*g1^7*t^8.23)/g2^5 - (5*g2^7*t^8.247)/g1^5 + (g2^19*t^8.264)/g1^17 - (2*t^8.32)/(g1*g2^13) + (2*t^8.337)/(g1^13*g2) + (3*t^8.41)/(g1^9*g2^21) + (3*t^8.426)/(g1^21*g2^9) + (3*t^8.499)/(g1^17*g2^29) + (4*t^8.516)/(g1^29*g2^17) + (3*t^8.589)/(g1^25*g2^37) + (g1^44*t^8.742)/g2^4 + g1^32*g2^8*t^8.759 + g1^20*g2^20*t^8.776 + g1^8*g2^32*t^8.792 + (g2^44*t^8.809)/g1^4 + (g1^36*t^8.832)/g2^12 + 2*g1^24*t^8.849 + 2*g1^12*g2^12*t^8.865 + g2^24*t^8.882 + (3*g2^36*t^8.899)/g1^12 + (2*g1^28*t^8.922)/g2^20 + (2*g1^16*t^8.938)/g2^8 - 2*g1^4*g2^4*t^8.955 + (3*g2^16*t^8.972)/g1^8 + (5*g2^28*t^8.989)/g1^20 - t^4.522/(g1^2*g2^2*y) - (g2^5*t^6.77)/(g1^7*y) - t^6.843/(g1^3*g2^15*y) + (g1^10*g2^10*t^7.388)/y + (2*g1^2*g2^2*t^7.478)/y + (g2^14*t^7.494)/(g1^10*y) + (g1^6*t^7.551)/(g2^18*y) + (2*t^7.567)/(g1^6*g2^6*y) - t^7.657/(g1^14*g2^14*y) + (g1^11*t^8.186)/(g2*y) + (3*g2^11*t^8.202)/(g1*y) + (3*g1^3*t^8.275)/(g2^9*y) + (2*g2^3*t^8.292)/(g1^9*y) + (3*t^8.365)/(g1^5*g2^17*y) + (4*t^8.382)/(g1^17*g2^5*y) + (2*t^8.455)/(g1^13*g2^25*y) + (g1^20*t^8.894)/(g2^4*y) + (2*g1^8*g2^8*t^8.91)/y + (g1^12*t^8.983)/(g2^12*y) - (t^4.522*y)/(g1^2*g2^2) - (g2^5*t^6.77*y)/g1^7 - (t^6.843*y)/(g1^3*g2^15) + g1^10*g2^10*t^7.388*y + 2*g1^2*g2^2*t^7.478*y + (g2^14*t^7.494*y)/g1^10 + (g1^6*t^7.551*y)/g2^18 + (2*t^7.567*y)/(g1^6*g2^6) - (t^7.657*y)/(g1^14*g2^14) + (g1^11*t^8.186*y)/g2 + (3*g2^11*t^8.202*y)/g1 + (3*g1^3*t^8.275*y)/g2^9 + (2*g2^3*t^8.292*y)/g1^9 + (3*t^8.365*y)/(g1^5*g2^17) + (4*t^8.382*y)/(g1^17*g2^5) + (2*t^8.455*y)/(g1^13*g2^25) + (g1^20*t^8.894*y)/g2^4 + 2*g1^8*g2^8*t^8.91*y + (g1^12*t^8.983*y)/g2^12

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
2753	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{3}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{4}q_{1}\tilde{q}_{2}$ + ${ }M_{2}M_{4}$	0.6169	0.8012	0.7699	[M:[0.95, 1.15, 0.725, 0.85], q:[0.7375, 0.3125], qb:[0.4375, 0.4125], phi:[0.525]]	2*t^2.175 + t^2.25 + t^2.55 + t^2.85 + t^3.15 + 2*t^3.45 + t^3.525 + t^3.75 + t^4.05 + t^4.125 + t^4.2 + 3*t^4.35 + 2*t^4.425 + t^4.5 + 2*t^4.725 + t^4.8 + 2*t^5.025 + 2*t^5.1 + 2*t^5.325 + 2*t^5.4 + 3*t^5.625 + 4*t^5.7 + t^5.775 + t^5.925 - t^4.575/y - t^4.575*y	detail
2754	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{3}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{4}q_{1}\tilde{q}_{2}$ + ${ }M_{5}q_{1}\tilde{q}_{1}$	0.6438	0.846	0.761	[M:[0.9916, 1.0253, 0.7393, 0.7733, 0.7562], q:[0.7479, 0.2605], qb:[0.4959, 0.4788], phi:[0.5042]]	2*t^2.218 + 2*t^2.269 + t^2.32 + t^2.975 + t^3.025 + 2*t^3.076 + t^3.731 + t^4.385 + 3*t^4.436 + t^4.437 + 4*t^4.487 + t^4.488 + t^4.537 + 3*t^4.538 + t^4.539 + t^4.588 + t^4.589 + t^4.64 + 2*t^5.193 + 3*t^5.243 + t^5.244 + 4*t^5.294 + 2*t^5.295 + 2*t^5.344 + 2*t^5.345 + 2*t^5.396 + t^5.949 + t^5.999 - 2*t^6. - t^4.513/y - t^4.513*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