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
1734	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$	0.6083	0.7807	0.7792	[M:[0.9781, 1.0657, 0.9781, 0.7742], q:[0.7445, 0.2774], qb:[0.4812, 0.453], phi:[0.511]]	[M:[[4, 4], [-12, -12], [4, 4], [-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
${}q_{2}\tilde{q}_{2}$, ${ }q_{2}\tilde{q}_{1}$, ${ }M_{4}$, ${ }M_{1}$, ${ }M_{3}$, ${ }M_{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{2}^{2}\tilde{q}_{2}^{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{4}q_{2}\tilde{q}_{2}$, ${ }q_{2}^{2}\tilde{q}_{1}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }M_{4}q_{2}\tilde{q}_{1}$, ${ }M_{4}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{3}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{3}q_{2}\tilde{q}_{1}$, ${ }M_{1}M_{4}$, ${ }M_{3}M_{4}$, ${ }\phi_{1}q_{2}^{3}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}^{3}\tilde{q}_{1}$, ${ }M_{2}M_{4}$, ${ }M_{4}\phi_{1}q_{2}^{2}$, ${ }q_{1}q_{2}\tilde{q}_{2}^{2}$, ${ }M_{1}^{2}$, ${ }M_{1}M_{3}$, ${ }M_{3}^{2}$, ${ }M_{4}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}^{2}\tilde{q}_{2}^{2}$	${}\phi_{1}q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$	-2	t^2.191 + t^2.276 + t^2.323 + 2*t^2.934 + 2*t^3.197 + t^3.593 + t^3.724 + t^3.809 + t^4.251 + t^4.336 + t^4.382 + t^4.42 + t^4.467 + t^4.514 + t^4.552 + t^4.599 + t^4.645 + 2*t^5.125 + 2*t^5.21 + 2*t^5.257 + t^5.388 + t^5.473 + 2*t^5.52 + t^5.784 + 3*t^5.869 + t^5.915 - 2*t^6. + t^6.047 + 3*t^6.131 + 3*t^6.394 + t^6.442 + 2*t^6.527 + 2*t^6.574 + 2*t^6.658 + t^6.696 + t^6.705 + 2*t^6.743 + t^6.79 + t^6.828 + t^6.837 - t^6.875 + 2*t^6.921 + t^6.968 + t^7.006 + 2*t^7.185 + t^7.27 + 2*t^7.317 + t^7.355 + 3*t^7.448 + t^7.486 + t^7.533 + 3*t^7.58 + t^7.618 + t^7.711 + t^7.749 + t^7.796 + 2*t^7.843 + t^7.844 + 2*t^7.975 + 2*t^8.06 + t^8.107 + 2*t^8.144 + t^8.229 + t^8.238 - 3*t^8.276 - 2*t^8.323 + t^8.37 + 3*t^8.454 + t^8.502 + t^8.586 + t^8.587 + t^8.633 + t^8.67 + t^8.671 + 3*t^8.717 + 2*t^8.718 + t^8.756 + 2*t^8.765 + 3*t^8.803 + t^8.841 + t^8.85 + 2*t^8.896 - 6*t^8.934 + t^8.972 + 2*t^8.981 - t^4.533/y - t^6.856/y + t^7.336/y + t^7.514/y + (2*t^7.599)/y - t^7.73/y + (2*t^8.125)/y + (3*t^8.21)/y + (2*t^8.257)/y + (2*t^8.388)/y + (2*t^8.473)/y + (2*t^8.52)/y + t^8.784/y + (2*t^8.869)/y + (2*t^8.915)/y - t^4.533*y - t^6.856*y + t^7.336*y + t^7.514*y + 2*t^7.599*y - t^7.73*y + 2*t^8.125*y + 3*t^8.21*y + 2*t^8.257*y + 2*t^8.388*y + 2*t^8.473*y + 2*t^8.52*y + t^8.784*y + 2*t^8.869*y + 2*t^8.915*y	(g2^7*t^2.191)/g1^5 + (g1^7*t^2.276)/g2^5 + t^2.323/(g1^13*g2) + 2*g1^4*g2^4*t^2.934 + (2*t^3.197)/(g1^12*g2^12) + g1*g2^13*t^3.593 + (g2^5*t^3.724)/g1^7 + (g1^5*t^3.809)/g2^7 + (g2^22*t^4.251)/g1^2 + g1^10*g2^10*t^4.336 + (g2^14*t^4.382)/g1^10 + (g1^22*t^4.42)/g2^2 + g1^2*g2^2*t^4.467 + (g2^6*t^4.514)/g1^18 + (g1^14*t^4.552)/g2^10 + t^4.599/(g1^6*g2^6) + t^4.645/(g1^26*g2^2) + (2*g2^11*t^5.125)/g1 + (2*g1^11*t^5.21)/g2 + (2*g2^3*t^5.257)/g1^9 + t^5.388/(g1^17*g2^5) + t^5.473/(g1^5*g2^17) + (2*t^5.52)/(g1^25*g2^13) + (g2^20*t^5.784)/g1^4 + 3*g1^8*g2^8*t^5.869 + (g2^12*t^5.915)/g1^12 - 2*t^6. + (g2^4*t^6.047)/g1^20 + (3*t^6.131)/(g1^8*g2^8) + (3*t^6.394)/(g1^24*g2^24) + (g2^29*t^6.442)/g1^7 + 2*g1^5*g2^17*t^6.527 + (2*g2^21*t^6.574)/g1^15 + (2*g2^9*t^6.658)/g1^3 + (g1^29*t^6.696)/g2^7 + (g2^13*t^6.705)/g1^23 + (2*g1^9*t^6.743)/g2^3 + (g2*t^6.79)/g1^11 + (g1^21*t^6.828)/g2^15 + (g2^5*t^6.837)/g1^31 - (g1*t^6.875)/g2^11 + (2*t^6.921)/(g1^19*g2^7) + t^6.968/(g1^39*g2^3) + t^7.006/(g1^7*g2^19) + 2*g1^2*g2^26*t^7.185 + g1^14*g2^14*t^7.27 + (2*g2^18*t^7.317)/g1^6 + g1^26*g2^2*t^7.355 + (3*g2^10*t^7.448)/g1^14 + (g1^18*t^7.486)/g2^6 + t^7.533/(g1^2*g2^2) + (3*g2^2*t^7.58)/g1^22 + (g1^10*t^7.618)/g2^14 + t^7.711/(g1^30*g2^6) + (g1^2*t^7.749)/g2^22 + t^7.796/(g1^18*g2^18) + (2*t^7.843)/(g1^38*g2^14) + (g2^35*t^7.844)/g1 + (2*g2^27*t^7.975)/g1^9 + 2*g1^3*g2^15*t^8.06 + (g2^19*t^8.107)/g1^17 + 2*g1^15*g2^3*t^8.144 + (g1^27*t^8.229)/g2^9 + (g2^11*t^8.238)/g1^25 - (3*g1^7*t^8.276)/g2^5 - (2*t^8.323)/(g1^13*g2) + (g2^3*t^8.37)/g1^33 + (3*t^8.454)/(g1^21*g2^9) + (g2^44*t^8.502)/g1^4 + t^8.586/(g1^29*g2^17) + g1^8*g2^32*t^8.587 + (g2^36*t^8.633)/g1^12 + t^8.67/(g1^17*g2^29) + g1^20*g2^20*t^8.671 + (3*t^8.717)/(g1^37*g2^25) + 2*g2^24*t^8.718 + g1^32*g2^8*t^8.756 + (2*g2^28*t^8.765)/g1^20 + 3*g1^12*g2^12*t^8.803 + (g1^44*t^8.841)/g2^4 + (g2^16*t^8.85)/g1^8 + (2*g2^20*t^8.896)/g1^28 - 6*g1^4*g2^4*t^8.934 + (g1^36*t^8.972)/g2^12 + (2*g2^8*t^8.981)/g1^16 - t^4.533/(g1^2*g2^2*y) - t^6.856/(g1^15*g2^3*y) + (g1^10*g2^10*t^7.336)/y + (g2^6*t^7.514)/(g1^18*y) + (2*t^7.599)/(g1^6*g2^6*y) - t^7.73/(g1^14*g2^14*y) + (2*g2^11*t^8.125)/(g1*y) + (3*g1^11*t^8.21)/(g2*y) + (2*g2^3*t^8.257)/(g1^9*y) + (2*t^8.388)/(g1^17*g2^5*y) + (2*t^8.473)/(g1^5*g2^17*y) + (2*t^8.52)/(g1^25*g2^13*y) + (g2^20*t^8.784)/(g1^4*y) + (2*g1^8*g2^8*t^8.869)/y + (2*g2^12*t^8.915)/(g1^12*y) - (t^4.533*y)/(g1^2*g2^2) - (t^6.856*y)/(g1^15*g2^3) + g1^10*g2^10*t^7.336*y + (g2^6*t^7.514*y)/g1^18 + (2*t^7.599*y)/(g1^6*g2^6) - (t^7.73*y)/(g1^14*g2^14) + (2*g2^11*t^8.125*y)/g1 + (3*g1^11*t^8.21*y)/g2 + (2*g2^3*t^8.257*y)/g1^9 + (2*t^8.388*y)/(g1^17*g2^5) + (2*t^8.473*y)/(g1^5*g2^17) + (2*t^8.52*y)/(g1^25*g2^13) + (g2^20*t^8.784*y)/g1^4 + 2*g1^8*g2^8*t^8.869*y + (2*g2^12*t^8.915*y)/g1^12

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
2731	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{2}M_{4}$	0.6018	0.7728	0.7788	[M:[0.9477, 1.1568, 0.9477, 0.8432], q:[0.7369, 0.3153], qb:[0.4199, 0.4234], phi:[0.5261]]	t^2.206 + t^2.216 + t^2.53 + 2*t^2.843 + 2*t^3.47 + t^3.481 + t^3.784 + t^3.794 + t^4.098 + t^4.108 + t^4.119 + t^4.411 + t^4.422 + t^4.432 + t^4.735 + t^4.746 + 2*t^5.049 + 3*t^5.059 + 2*t^5.373 + t^5.676 + 4*t^5.686 + t^5.697 - t^4.578/y - t^4.578*y	detail
2733	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$	0.6255	0.8112	0.7711	[M:[0.9857, 1.043, 0.9857, 0.7751, 0.7751], q:[0.7464, 0.2679], qb:[0.4785, 0.4785], phi:[0.5072]]	2*t^2.239 + 2*t^2.325 + 2*t^2.957 + 2*t^3.129 + 2*t^3.761 + 3*t^4.392 + 3*t^4.478 + 4*t^4.565 + 3*t^4.651 + 4*t^5.196 + 4*t^5.282 + 2*t^5.368 + 4*t^5.454 + 2*t^5.914 - 2*t^6. - t^4.522/y - t^4.522*y	detail
2732	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }q_{1}q_{2}\tilde{q}_{2}^{2}$	0.6065	0.7774	0.7802	[M:[0.9872, 1.0385, 0.9872, 0.7853], q:[0.7468, 0.266], qb:[0.4679, 0.4936], phi:[0.5064]]	t^2.202 + t^2.279 + t^2.356 + 2*t^2.961 + 2*t^3.116 + 2*t^3.721 + t^3.798 + t^4.327 + 2*t^4.404 + 2*t^4.481 + 2*t^4.558 + t^4.635 + t^4.712 + 2*t^5.163 + 2*t^5.24 + 3*t^5.317 + t^5.394 + 2*t^5.471 + 3*t^5.923 - t^6. - t^4.519/y - t^4.519*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
216	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{3}\phi_{1}^{2}$	0.5911	0.7501	0.788	[M:[0.9703, 1.0891, 0.9703], q:[0.7426, 0.2871], qb:[0.4555, 0.4555], phi:[0.5148]]	2*t^2.228 + 2*t^2.911 + 2*t^3.267 + 2*t^3.594 + 2*t^3.772 + 3*t^4.277 + 3*t^4.455 + 4*t^5.139 + 2*t^5.495 + 6*t^5.822 - 2*t^6. - t^4.545/y - t^4.545*y	detail