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
46631	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ + ${ }M_{5}^{2}$ + ${ }M_{2}M_{3}$	0.7215	0.8862	0.8142	[M:[0.8197, 1.0, 1.0, 0.8197, 1.0], q:[0.5, 0.6803], qb:[0.5, 0.5], phi:[0.4549]]	[M:[[-4, 1], [0, 1], [0, -1], [-4, -1], [0, 0]], q:[[0, -1], [4, 0]], qb:[[0, 0], [0, 1]], phi:[[-1, 0]]]	2

Relevant Operators	Marginal Operators	$n_{marginal}$$-$$|F_{IR}|$	Superconformal Index	Refined index
${}M_{4}$, ${ }M_{1}$, ${ }\phi_{1}^{2}$, ${ }M_{2}$, ${ }M_{3}$, ${ }M_{5}$, ${ }M_{3}$, ${ }M_{2}$, ${ }q_{2}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{1}M_{4}$, ${ }M_{4}^{2}$, ${ }M_{1}^{2}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{1}\phi_{1}^{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }M_{1}M_{3}$, ${ }M_{2}M_{4}$, ${ }\phi_{1}^{4}$, ${ }M_{3}M_{4}$, ${ }M_{1}M_{2}$, ${ }M_{5}\phi_{1}^{2}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{2}\phi_{1}^{2}$	${}M_{2}^{2}$, ${ }M_{3}^{2}$, ${ }M_{2}M_{5}$, ${ }M_{3}M_{5}$, ${ }M_{4}q_{2}\tilde{q}_{1}$	-2	2*t^2.459 + t^2.73 + 3*t^3. + t^3.541 + 6*t^4.365 + 3*t^4.906 + 3*t^4.918 + 2*t^5.189 + t^5.446 + 4*t^5.459 + 3*t^5.73 - 2*t^6. + t^6.27 - t^6.541 + 9*t^6.824 + t^7.082 + 6*t^7.094 + 12*t^7.365 + 4*t^7.378 - 3*t^7.635 + 3*t^7.648 + 5*t^7.906 + 6*t^7.918 - 2*t^8.176 + 4*t^8.189 + 3*t^8.446 - 7*t^8.459 - t^8.717 + 13*t^8.73 + t^8.987 - t^4.365/y - (2*t^6.824)/y - t^7.094/y + t^7.635/y + (2*t^7.906)/y + t^7.918/y + (2*t^8.189)/y + (6*t^8.459)/y + (3*t^8.73)/y - t^4.365*y - 2*t^6.824*y - t^7.094*y + t^7.635*y + 2*t^7.906*y + t^7.918*y + 2*t^8.189*y + 6*t^8.459*y + 3*t^8.73*y	t^2.459/(g1^4*g2) + (g2*t^2.459)/g1^4 + t^2.73/g1^2 + t^3. + t^3./g2 + g2*t^3. + g1^4*t^3.541 + (2*t^4.365)/g1 + t^4.365/(g1*g2^2) + t^4.365/(g1*g2) + (g2*t^4.365)/g1 + (g2^2*t^4.365)/g1 + g1^3*t^4.906 + (g1^3*t^4.906)/g2 + g1^3*g2*t^4.906 + t^4.918/g1^8 + t^4.918/(g1^8*g2^2) + (g2^2*t^4.918)/g1^8 + t^5.189/(g1^6*g2) + (g2*t^5.189)/g1^6 + g1^7*t^5.446 + (2*t^5.459)/g1^4 + t^5.459/(g1^4*g2^2) + (g2^2*t^5.459)/g1^4 + t^5.73/g1^2 + t^5.73/(g1^2*g2) + (g2*t^5.73)/g1^2 - 2*t^6. + g1^2*t^6.27 - g1^4*t^6.541 + t^6.824/g1^5 + t^6.824/(g1^5*g2^3) + t^6.824/(g1^5*g2^2) + (2*t^6.824)/(g1^5*g2) + (2*g2*t^6.824)/g1^5 + (g2^2*t^6.824)/g1^5 + (g2^3*t^6.824)/g1^5 + g1^8*t^7.082 + (2*t^7.094)/g1^3 + t^7.094/(g1^3*g2^2) + t^7.094/(g1^3*g2) + (g2*t^7.094)/g1^3 + (g2^2*t^7.094)/g1^3 + (2*t^7.365)/g1 + t^7.365/(g1*g2^3) + (2*t^7.365)/(g1*g2^2) + (2*t^7.365)/(g1*g2) + (2*g2*t^7.365)/g1 + (2*g2^2*t^7.365)/g1 + (g2^3*t^7.365)/g1 + t^7.378/(g1^12*g2^3) + t^7.378/(g1^12*g2) + (g2*t^7.378)/g1^12 + (g2^3*t^7.378)/g1^12 - g1*t^7.635 - (g1*t^7.635)/g2^2 - g1*g2^2*t^7.635 + t^7.648/g1^10 + t^7.648/(g1^10*g2^2) + (g2^2*t^7.648)/g1^10 + g1^3*t^7.906 + (g1^3*t^7.906)/g2^2 + (g1^3*t^7.906)/g2 + g1^3*g2*t^7.906 + g1^3*g2^2*t^7.906 + t^7.918/(g1^8*g2^3) + (2*t^7.918)/(g1^8*g2) + (2*g2*t^7.918)/g1^8 + (g2^3*t^7.918)/g1^8 - (g1^5*t^8.176)/g2 - g1^5*g2*t^8.176 + (2*t^8.189)/g1^6 + t^8.189/(g1^6*g2^2) + (g2^2*t^8.189)/g1^6 + g1^7*t^8.446 + (g1^7*t^8.446)/g2 + g1^7*g2*t^8.446 - t^8.459/g1^4 - t^8.459/(g1^4*g2^2) - (2*t^8.459)/(g1^4*g2) - (2*g2*t^8.459)/g1^4 - (g2^2*t^8.459)/g1^4 - g1^9*t^8.717 + t^8.73/g1^2 + t^8.73/(g1^2*g2^4) + t^8.73/(g1^2*g2^3) + (2*t^8.73)/(g1^2*g2^2) + (2*t^8.73)/(g1^2*g2) + (2*g2*t^8.73)/g1^2 + (2*g2^2*t^8.73)/g1^2 + (g2^3*t^8.73)/g1^2 + (g2^4*t^8.73)/g1^2 + g1^11*t^8.987 - t^4.365/(g1*y) - t^6.824/(g1^5*g2*y) - (g2*t^6.824)/(g1^5*y) - t^7.094/(g1^3*y) + (g1*t^7.635)/y + (g1^3*t^7.906)/(g2*y) + (g1^3*g2*t^7.906)/y + t^7.918/(g1^8*y) + t^8.189/(g1^6*g2*y) + (g2*t^8.189)/(g1^6*y) + (2*t^8.459)/(g1^4*y) + t^8.459/(g1^4*g2^2*y) + t^8.459/(g1^4*g2*y) + (g2*t^8.459)/(g1^4*y) + (g2^2*t^8.459)/(g1^4*y) + t^8.73/(g1^2*y) + t^8.73/(g1^2*g2*y) + (g2*t^8.73)/(g1^2*y) - (t^4.365*y)/g1 - (t^6.824*y)/(g1^5*g2) - (g2*t^6.824*y)/g1^5 - (t^7.094*y)/g1^3 + g1*t^7.635*y + (g1^3*t^7.906*y)/g2 + g1^3*g2*t^7.906*y + (t^7.918*y)/g1^8 + (t^8.189*y)/(g1^6*g2) + (g2*t^8.189*y)/g1^6 + (2*t^8.459*y)/g1^4 + (t^8.459*y)/(g1^4*g2^2) + (t^8.459*y)/(g1^4*g2) + (g2*t^8.459*y)/g1^4 + (g2^2*t^8.459*y)/g1^4 + (t^8.73*y)/g1^2 + (t^8.73*y)/(g1^2*g2) + (g2*t^8.73*y)/g1^2

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
48183	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ + ${ }M_{5}^{2}$ + ${ }M_{2}M_{3}$ + ${ }M_{2}M_{6}$	0.7226	0.8888	0.8131	[M:[0.8437, 1.0234, 0.9766, 0.7968, 1.0, 0.9766], q:[0.4766, 0.6798], qb:[0.5, 0.5234], phi:[0.4551]]	t^2.39 + t^2.531 + t^2.73 + 2*t^2.93 + t^3. + t^3.539 + t^4.225 + t^4.295 + 2*t^4.365 + t^4.435 + t^4.506 + t^4.781 + t^4.834 + t^4.904 + t^4.921 + t^4.975 + t^5.062 + t^5.121 + t^5.261 + 2*t^5.32 + t^5.444 + 2*t^5.461 + 2*t^5.66 + t^5.73 + 2*t^5.859 + t^5.93 - 3*t^6. - t^4.365/y - t^4.365*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
46324	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ + ${ }M_{5}^{2}$	0.7466	0.9183	0.813	[M:[0.8355, 0.8355, 0.8355, 0.8355, 1.0], q:[0.5, 0.6645], qb:[0.6645, 0.5], phi:[0.4177]]	5*t^2.506 + t^3. + t^3.987 + 3*t^4.253 + 4*t^4.747 + 15*t^5.013 + 3*t^5.24 + t^5.506 - 7*t^6. - t^4.253/y - t^4.253*y	detail