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
887	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{2}M_{3}$ + ${ }\phi_{1}^{4}$ + ${ }M_{4}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{6}\phi_{1}q_{2}\tilde{q}_{2}$	0.6728	0.8725	0.7711	[M:[0.804, 1.196, 0.804, 0.696, 1.1331, 0.6709], q:[0.75, 0.446], qb:[0.4209, 0.3831], phi:[0.5]]	[M:[[1, 1], [-1, -1], [1, 1], [-1, -1], [0, 1], [1, 0]], q:[[0, 0], [-1, -1]], qb:[[1, 0], [0, 1]], phi:[[0, 0]]]	2

Relevant Operators	Marginal Operators	$n_{marginal}$$-$$|F_{IR}|$	Superconformal Index	Refined index
${}M_{6}$, ${ }M_{4}$, ${ }M_{1}$, ${ }M_{3}$, ${ }q_{2}\tilde{q}_{2}$, ${ }\phi_{1}^{2}$, ${ }M_{5}$, ${ }q_{1}\tilde{q}_{2}$, ${ }q_{1}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{6}^{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{4}M_{6}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{4}^{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }M_{1}M_{6}$, ${ }M_{3}M_{6}$, ${ }M_{1}M_{4}$, ${ }M_{3}M_{4}$, ${ }M_{6}q_{2}\tilde{q}_{2}$, ${ }M_{4}q_{2}\tilde{q}_{2}$, ${ }M_{1}^{2}$, ${ }M_{1}M_{3}$, ${ }M_{3}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{3}q_{2}\tilde{q}_{2}$, ${ }q_{2}^{2}\tilde{q}_{2}^{2}$, ${ }M_{6}\phi_{1}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{4}\phi_{1}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }M_{5}M_{6}$, ${ }M_{1}\phi_{1}^{2}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{6}q_{1}\tilde{q}_{2}$, ${ }M_{4}M_{5}$, ${ }M_{4}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$, ${ }M_{6}q_{1}\tilde{q}_{1}$, ${ }M_{4}q_{1}\tilde{q}_{1}$, ${ }M_{1}M_{5}$, ${ }M_{3}M_{5}$, ${ }M_{3}q_{1}\tilde{q}_{2}$, ${ }M_{6}\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{5}q_{2}\tilde{q}_{2}$, ${ }M_{4}\phi_{1}\tilde{q}_{2}^{2}$, ${ }q_{1}q_{2}\tilde{q}_{2}^{2}$, ${ }M_{3}q_{1}\tilde{q}_{1}$	${}$	-2	t^2.013 + t^2.088 + 2*t^2.412 + t^2.487 + t^3. + 2*t^3.399 + t^3.513 + t^3.798 + 2*t^4.026 + 2*t^4.101 + 2*t^4.176 + 2*t^4.425 + 3*t^4.5 + t^4.575 + 3*t^4.824 + 2*t^4.899 + t^4.974 + t^5.013 + t^5.088 + 4*t^5.412 + 3*t^5.487 + t^5.526 + t^5.601 + 4*t^5.811 + 2*t^5.886 + t^5.925 - 2*t^6. + 2*t^6.038 - t^6.075 + 2*t^6.114 + 2*t^6.189 + 2*t^6.21 + 2*t^6.264 + t^6.286 + 4*t^6.438 + 5*t^6.513 + 4*t^6.588 + 2*t^6.663 + 3*t^6.798 + 3*t^6.837 + 5*t^6.912 + t^6.987 + 2*t^7.026 + t^7.062 + t^7.176 + 2*t^7.198 + 4*t^7.236 + 2*t^7.311 + 4*t^7.425 + t^7.462 + 3*t^7.5 + 2*t^7.538 + 3*t^7.575 + t^7.597 + 7*t^7.824 + 6*t^7.899 + t^7.938 + 3*t^7.974 - 3*t^8.013 + 3*t^8.051 - 5*t^8.088 + 3*t^8.126 - t^8.163 + 3*t^8.202 + 6*t^8.223 + 3*t^8.277 + 4*t^8.298 + t^8.337 + 3*t^8.352 + 2*t^8.374 - 5*t^8.412 + 4*t^8.45 - 4*t^8.487 + 5*t^8.526 - t^8.562 + 3*t^8.601 + 3*t^8.622 + 4*t^8.676 + 2*t^8.698 + 2*t^8.751 + t^8.773 + 2*t^8.811 + 6*t^8.85 + 2*t^8.886 + 7*t^8.925 - t^4.5/y - t^6.513/y - t^6.588/y - t^6.912/y + (2*t^7.101)/y + (2*t^7.425)/y + (3*t^7.5)/y + t^7.575/y + t^7.824/y + t^7.899/y + t^8.013/y + (2*t^8.088)/y + (5*t^8.412)/y + (4*t^8.487)/y - t^8.676/y + (5*t^8.811)/y + (3*t^8.886)/y + t^8.925/y - t^4.5*y - t^6.513*y - t^6.588*y - t^6.912*y + 2*t^7.101*y + 2*t^7.425*y + 3*t^7.5*y + t^7.575*y + t^7.824*y + t^7.899*y + t^8.013*y + 2*t^8.088*y + 5*t^8.412*y + 4*t^8.487*y - t^8.676*y + 5*t^8.811*y + 3*t^8.886*y + t^8.925*y	g1*t^2.013 + t^2.088/(g1*g2) + 2*g1*g2*t^2.412 + t^2.487/g1 + t^3. + 2*g2*t^3.399 + g1*t^3.513 + g2^2*t^3.798 + 2*g1^2*t^4.026 + (2*t^4.101)/g2 + (2*t^4.176)/(g1^2*g2^2) + 2*g1^2*g2*t^4.425 + 3*t^4.5 + t^4.575/(g1^2*g2) + 3*g1^2*g2^2*t^4.824 + 2*g2*t^4.899 + t^4.974/g1^2 + g1*t^5.013 + t^5.088/(g1*g2) + 4*g1*g2*t^5.412 + (3*t^5.487)/g1 + g1^2*t^5.526 + t^5.601/g2 + 4*g1*g2^2*t^5.811 + (2*g2*t^5.886)/g1 + g1^2*g2*t^5.925 - 2*t^6. + 2*g1^3*t^6.038 - t^6.075/(g1^2*g2) + (2*g1*t^6.114)/g2 + (2*t^6.189)/(g1*g2^2) + 2*g1*g2^3*t^6.21 + (2*t^6.264)/(g1^3*g2^3) + (g2^2*t^6.286)/g1 + 4*g1^3*g2*t^6.438 + 5*g1*t^6.513 + (4*t^6.588)/(g1*g2) + (2*t^6.663)/(g1^3*g2^2) + 3*g2^2*t^6.798 + 3*g1^3*g2^2*t^6.837 + 5*g1*g2*t^6.912 + t^6.987/g1 + 2*g1^2*t^7.026 + t^7.062/(g1^3*g2) + t^7.176/(g1^2*g2^2) + 2*g2^3*t^7.198 + 4*g1^3*g2^3*t^7.236 + 2*g1*g2^2*t^7.311 + 4*g1^2*g2*t^7.425 + t^7.462/g1^3 + 3*t^7.5 + 2*g1^3*t^7.538 + (3*t^7.575)/(g1^2*g2) + g2^4*t^7.597 + 7*g1^2*g2^2*t^7.824 + 6*g2*t^7.899 + g1^3*g2*t^7.938 + (3*t^7.974)/g1^2 - 3*g1*t^8.013 + 3*g1^4*t^8.051 - (5*t^8.088)/(g1*g2) + (3*g1^2*t^8.126)/g2 - t^8.163/(g1^3*g2^2) + (3*t^8.202)/g2^2 + 6*g1^2*g2^3*t^8.223 + (3*t^8.277)/(g1^2*g2^3) + 4*g2^2*t^8.298 + g1^3*g2^2*t^8.337 + (3*t^8.352)/(g1^4*g2^4) + (2*g2*t^8.374)/g1^2 - 5*g1*g2*t^8.412 + 4*g1^4*g2*t^8.45 - (4*t^8.487)/g1 + 5*g1^2*t^8.526 - t^8.562/(g1^3*g2) + (3*t^8.601)/g2 + 3*g1^2*g2^4*t^8.622 + (4*t^8.676)/(g1^2*g2^2) + 2*g2^3*t^8.698 + (2*t^8.751)/(g1^4*g2^3) + (g2^2*t^8.773)/g1^2 + 2*g1*g2^2*t^8.811 + 6*g1^4*g2^2*t^8.85 + (2*g2*t^8.886)/g1 + 7*g1^2*g2*t^8.925 - t^4.5/y - (g1*t^6.513)/y - t^6.588/(g1*g2*y) - (g1*g2*t^6.912)/y + (2*t^7.101)/(g2*y) + (2*g1^2*g2*t^7.425)/y + (3*t^7.5)/y + t^7.575/(g1^2*g2*y) + (g1^2*g2^2*t^7.824)/y + (g2*t^7.899)/y + (g1*t^8.013)/y + (2*t^8.088)/(g1*g2*y) + (5*g1*g2*t^8.412)/y + (4*t^8.487)/(g1*y) - t^8.676/(g1^2*g2^2*y) + (5*g1*g2^2*t^8.811)/y + (3*g2*t^8.886)/(g1*y) + (g1^2*g2*t^8.925)/y - t^4.5*y - g1*t^6.513*y - (t^6.588*y)/(g1*g2) - g1*g2*t^6.912*y + (2*t^7.101*y)/g2 + 2*g1^2*g2*t^7.425*y + 3*t^7.5*y + (t^7.575*y)/(g1^2*g2) + g1^2*g2^2*t^7.824*y + g2*t^7.899*y + g1*t^8.013*y + (2*t^8.088*y)/(g1*g2) + 5*g1*g2*t^8.412*y + (4*t^8.487*y)/g1 - (t^8.676*y)/(g1^2*g2^2) + 5*g1*g2^2*t^8.811*y + (3*g2*t^8.886*y)/g1 + g1^2*g2*t^8.925*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
1375	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{2}M_{3}$ + ${ }\phi_{1}^{4}$ + ${ }M_{4}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{6}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{4}M_{7}$	0.6522	0.8336	0.7824	[M:[0.7992, 1.2008, 0.7992, 0.7008, 1.1303, 0.6689, 1.2992], q:[0.75, 0.4508], qb:[0.4189, 0.3803], phi:[0.5]]	t^2.007 + 2*t^2.397 + t^2.493 + t^3. + 2*t^3.391 + t^3.507 + t^3.782 + t^3.897 + 2*t^4.013 + t^4.109 + t^4.205 + 2*t^4.404 + t^4.5 + 3*t^4.795 + 2*t^4.891 + t^4.987 + t^5.007 + 4*t^5.397 + t^5.493 + t^5.513 + 4*t^5.788 + t^5.884 + 2*t^5.904 - 2*t^6. - t^4.5/y - t^4.5*y	detail
2053	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{2}M_{3}$ + ${ }\phi_{1}^{4}$ + ${ }M_{4}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{6}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{7}q_{1}\tilde{q}_{1}$	0.688	0.8991	0.7652	[M:[0.8113, 1.1887, 0.8113, 0.6887, 1.1225, 0.6887, 0.8113], q:[0.75, 0.4387], qb:[0.4387, 0.3725], phi:[0.5]]	2*t^2.066 + 4*t^2.434 + t^3. + 2*t^3.368 + t^3.735 + 6*t^4.132 + 8*t^4.5 + 10*t^4.868 + 2*t^5.066 + 8*t^5.434 + 8*t^5.801 - 5*t^6. - t^4.5/y - t^4.5*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
571	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{2}M_{3}$ + ${ }\phi_{1}^{4}$ + ${ }M_{4}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$	0.652	0.8312	0.7844	[M:[0.8043, 1.1957, 0.8043, 0.6957, 1.1326], q:[0.75, 0.4457], qb:[0.4217, 0.3826], phi:[0.5]]	t^2.087 + 2*t^2.413 + t^2.485 + t^3. + 2*t^3.398 + t^3.515 + t^3.796 + t^3.985 + t^4.03 + t^4.102 + 2*t^4.174 + 2*t^4.5 + t^4.572 + 3*t^4.826 + 2*t^4.898 + t^4.97 + t^5.087 + 2*t^5.413 + 3*t^5.485 + t^5.602 + 3*t^5.811 + 2*t^5.883 + t^5.928 - 2*t^6. - t^4.5/y - t^4.5*y	detail