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
824	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }\phi_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{2}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{1}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ + ${ }M_{2}M_{4}$ + ${ }M_{6}\phi_{1}\tilde{q}_{1}^{2}$	0.7577	0.9523	0.7957	[M:[0.8866, 1.0, 0.7731, 1.0, 0.7731, 0.6702], q:[0.5567, 0.5567], qb:[0.4433, 0.6702], phi:[0.4433]]	[M:[[0, -2], [1, -1], [-1, -3], [-1, 1], [1, -5], [0, 3]], q:[[-1, 2], [1, 0]], qb:[[0, -1], [0, 3]], phi:[[0, -1]]]	2

Relevant Operators	Marginal Operators	$n_{marginal}$$-$$|F_{IR}|$	Superconformal Index	Refined index
${}M_{6}$, ${ }M_{5}$, ${ }M_{3}$, ${ }M_{1}$, ${ }\phi_{1}^{2}$, ${ }M_{2}$, ${ }M_{4}$, ${ }\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{6}^{2}$, ${ }M_{3}M_{6}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{5}M_{6}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{5}^{2}$, ${ }M_{3}M_{5}$, ${ }M_{3}^{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }M_{1}M_{6}$, ${ }M_{6}\phi_{1}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}^{2}$, ${ }M_{1}M_{5}$, ${ }M_{5}\phi_{1}^{2}$, ${ }M_{1}M_{3}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{2}M_{6}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{4}M_{6}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{2}M_{5}$, ${ }M_{1}^{2}$, ${ }M_{2}M_{3}$, ${ }M_{4}M_{5}$, ${ }M_{1}\phi_{1}^{2}$, ${ }\phi_{1}^{4}$, ${ }M_{3}M_{4}$, ${ }M_{6}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{1}M_{2}$, ${ }M_{2}\phi_{1}^{2}$, ${ }M_{5}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{1}M_{4}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$	${}M_{2}^{2}$, ${ }M_{4}^{2}$, ${ }M_{1}\tilde{q}_{1}\tilde{q}_{2}$	-1	t^2.011 + 2*t^2.319 + 2*t^2.66 + 2*t^3. + t^3.34 + t^4.021 + 4*t^4.33 + 3*t^4.639 + 6*t^4.67 + 4*t^4.979 + 4*t^5.011 + 6*t^5.319 + 2*t^5.351 + 2*t^5.66 - t^6. + t^6.032 + 2*t^6.34 + 6*t^6.649 + 5*t^6.681 + 4*t^6.958 + 12*t^6.989 + 4*t^7.021 + 6*t^7.298 + 15*t^7.33 + 2*t^7.361 + 10*t^7.639 + 8*t^7.67 + 6*t^7.979 - t^8.011 + t^8.042 - 4*t^8.319 - 5*t^8.66 + 4*t^8.691 + 8*t^8.968 - t^4.33/y - t^6.34/y - (2*t^6.649)/y - (2*t^6.989)/y + (2*t^7.33)/y + t^7.639/y + (4*t^7.67)/y + (4*t^7.979)/y + (4*t^8.011)/y + (6*t^8.319)/y + (4*t^8.66)/y - (3*t^8.968)/y - t^4.33*y - t^6.34*y - 2*t^6.649*y - 2*t^6.989*y + 2*t^7.33*y + t^7.639*y + 4*t^7.67*y + 4*t^7.979*y + 4*t^8.011*y + 6*t^8.319*y + 4*t^8.66*y - 3*t^8.968*y	g2^3*t^2.011 + (g1*t^2.319)/g2^5 + t^2.319/(g1*g2^3) + (2*t^2.66)/g2^2 + (g1*t^3.)/g2 + (g2*t^3.)/g1 + g2^2*t^3.34 + g2^6*t^4.021 + (2*t^4.33)/g1 + (2*g1*t^4.33)/g2^2 + (g1^2*t^4.639)/g2^10 + t^4.639/g2^8 + t^4.639/(g1^2*g2^6) + (g1^2*t^4.67)/g2 + 4*g2*t^4.67 + (g2^3*t^4.67)/g1^2 + (2*g1*t^4.979)/g2^7 + (2*t^4.979)/(g1*g2^5) + 2*g1*g2^2*t^5.011 + (2*g2^4*t^5.011)/g1 + (g1^2*t^5.319)/g2^6 + (4*t^5.319)/g2^4 + t^5.319/(g1^2*g2^2) + 2*g2^5*t^5.351 + (g1*t^5.66)/g2^3 + t^5.66/(g1*g2) - t^6. + g2^9*t^6.032 + g1*g2*t^6.34 + (g2^3*t^6.34)/g1 + (2*g1^2*t^6.649)/g2^7 + (2*t^6.649)/g2^5 + (2*t^6.649)/(g1^2*g2^3) + g1^2*g2^2*t^6.681 + 3*g2^4*t^6.681 + (g2^6*t^6.681)/g1^2 + (g1^3*t^6.958)/g2^15 + (g1*t^6.958)/g2^13 + t^6.958/(g1*g2^11) + t^6.958/(g1^3*g2^9) + t^6.989/g1^3 + (g1^3*t^6.989)/g2^6 + (5*g1*t^6.989)/g2^4 + (5*t^6.989)/(g1*g2^2) + 2*g1*g2^5*t^7.021 + (2*g2^7*t^7.021)/g1 + (2*g1^2*t^7.298)/g2^12 + (2*t^7.298)/g2^10 + (2*t^7.298)/(g1^2*g2^8) + (4*g1^2*t^7.33)/g2^3 + (7*t^7.33)/g2 + (4*g2*t^7.33)/g1^2 + 2*g2^8*t^7.361 + (g1^3*t^7.639)/g2^11 + (4*g1*t^7.639)/g2^9 + (4*t^7.639)/(g1*g2^7) + t^7.639/(g1^3*g2^5) + 3*g1*t^7.67 + (g1^3*t^7.67)/g2^2 + (3*g2^2*t^7.67)/g1 + (g2^4*t^7.67)/g1^3 + (g1^2*t^7.979)/g2^8 + (4*t^7.979)/g2^6 + t^7.979/(g1^2*g2^4) - g2^3*t^8.011 + g2^12*t^8.042 - (2*g1*t^8.319)/g2^5 - (2*t^8.319)/(g1*g2^3) - (5*t^8.66)/g2^2 + g1^2*g2^5*t^8.691 + 2*g2^7*t^8.691 + (g2^9*t^8.691)/g1^2 + (2*g1^3*t^8.968)/g2^12 + (2*g1*t^8.968)/g2^10 + (2*t^8.968)/(g1*g2^8) + (2*t^8.968)/(g1^3*g2^6) - t^4.33/(g2*y) - (g2^2*t^6.34)/y - (g1*t^6.649)/(g2^6*y) - t^6.649/(g1*g2^4*y) - (2*t^6.989)/(g2^3*y) + t^7.33/(g1*y) + (g1*t^7.33)/(g2^2*y) + t^7.639/(g2^8*y) + (4*g2*t^7.67)/y + (2*g1*t^7.979)/(g2^7*y) + (2*t^7.979)/(g1*g2^5*y) + (2*g1*g2^2*t^8.011)/y + (2*g2^4*t^8.011)/(g1*y) + (g1^2*t^8.319)/(g2^6*y) + (4*t^8.319)/(g2^4*y) + t^8.319/(g1^2*g2^2*y) + (2*g1*t^8.66)/(g2^3*y) + (2*t^8.66)/(g1*g2*y) - (g1^2*t^8.968)/(g2^11*y) - t^8.968/(g2^9*y) - t^8.968/(g1^2*g2^7*y) - (t^4.33*y)/g2 - g2^2*t^6.34*y - (g1*t^6.649*y)/g2^6 - (t^6.649*y)/(g1*g2^4) - (2*t^6.989*y)/g2^3 + (t^7.33*y)/g1 + (g1*t^7.33*y)/g2^2 + (t^7.639*y)/g2^8 + 4*g2*t^7.67*y + (2*g1*t^7.979*y)/g2^7 + (2*t^7.979*y)/(g1*g2^5) + 2*g1*g2^2*t^8.011*y + (2*g2^4*t^8.011*y)/g1 + (g1^2*t^8.319*y)/g2^6 + (4*t^8.319*y)/g2^4 + (t^8.319*y)/(g1^2*g2^2) + (2*g1*t^8.66*y)/g2^3 + (2*t^8.66*y)/(g1*g2) - (g1^2*t^8.968*y)/g2^11 - (t^8.968*y)/g2^9 - (t^8.968*y)/(g1^2*g2^7)

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
1301	${}M_{1}q_{1}q_{2}$ + ${ }\phi_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{2}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{1}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ + ${ }M_{2}M_{4}$ + ${ }M_{6}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{2}M_{6}$ + ${ }M_{3}X_{1}$	0.652	0.8153	0.7997	[X:[1.6126], M:[0.7747, 1.1621, 0.3874, 0.8379, 0.7116, 0.8379], q:[0.4505, 0.7747], qb:[0.3874, 0.8379], phi:[0.3874]]	t^2.135 + 2*t^2.324 + 2*t^2.514 + t^3.486 + 2*t^3.676 + t^3.865 + t^4.27 + 2*t^4.459 + 5*t^4.648 + 5*t^4.838 + 3*t^5.027 + t^5.621 + 2*t^5.811 + 2*t^6. - t^4.162/y - t^4.162*y	detail
1299	${}M_{1}q_{1}q_{2}$ + ${ }\phi_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{2}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{1}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ + ${ }M_{2}M_{4}$ + ${ }M_{6}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{5}X_{1}$	0.6539	0.8186	0.7988	[X:[1.5176], M:[0.8471, 0.7882, 0.9059, 1.2118, 0.4824, 0.7294], q:[0.7882, 0.3647], qb:[0.4235, 0.7294], phi:[0.4235]]	t^2.188 + t^2.365 + 2*t^2.541 + t^2.718 + 2*t^3.459 + 2*t^3.635 + t^4.376 + 3*t^4.553 + 4*t^4.729 + 2*t^4.906 + 3*t^5.082 + 2*t^5.259 + t^5.436 + 3*t^5.647 + 3*t^5.823 + 2*t^6. - t^4.271/y - t^4.271*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
528	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }\phi_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{2}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{1}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ + ${ }M_{2}M_{4}$	0.7369	0.9109	0.809	[M:[0.8862, 1.0, 0.7723, 1.0, 0.7723], q:[0.5569, 0.5569], qb:[0.4431, 0.6707], phi:[0.4431]]	2*t^2.317 + 2*t^2.659 + 2*t^3. + t^3.341 + t^3.988 + 2*t^4.329 + 3*t^4.634 + 4*t^4.671 + 4*t^4.976 + 2*t^5.012 + 6*t^5.317 + t^5.354 + 2*t^5.659 - t^6. - t^4.329/y - t^4.329*y	detail