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
56261	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{5}\phi_{1}q_{1}q_{2}$ + ${ }M_{4}^{2}$ + ${ }M_{6}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}M_{7}$	0.6251	0.8117	0.7701	[M:[1.2536, 0.971, 0.7464, 1.0, 0.7609, 0.7174, 1.029], q:[0.5, 0.2464], qb:[0.529, 0.7536], phi:[0.4928]]	[M:[[1], [-8], [-1], [0], [3], [-9], [8]], q:[[0], [-1]], qb:[[8], [1]], phi:[[-2]]]	1

Relevant Operators	Marginal Operators	$n_{marginal}$$-$$|F_{IR}|$	Superconformal Index	Refined index
${}M_{6}$, ${ }M_{3}$, ${ }M_{5}$, ${ }q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }M_{4}$, ${ }M_{7}$, ${ }M_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{6}^{2}$, ${ }M_{3}M_{6}$, ${ }M_{5}M_{6}$, ${ }M_{3}^{2}$, ${ }\phi_{1}q_{1}^{2}$, ${ }M_{6}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{3}M_{5}$, ${ }M_{5}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{3}q_{2}\tilde{q}_{1}$, ${ }M_{5}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }q_{2}^{2}\tilde{q}_{1}^{2}$, ${ }M_{6}\phi_{1}^{2}$, ${ }M_{6}\phi_{1}q_{2}^{2}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{3}\phi_{1}q_{2}^{2}$, ${ }M_{3}M_{4}$, ${ }M_{6}M_{7}$, ${ }M_{5}\phi_{1}^{2}$, ${ }M_{5}\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{4}M_{5}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}^{3}\tilde{q}_{1}$, ${ }M_{3}M_{7}$, ${ }M_{4}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{5}M_{7}$, ${ }M_{7}q_{2}\tilde{q}_{1}$, ${ }M_{1}M_{6}$, ${ }\phi_{1}^{4}$, ${ }\phi_{1}^{3}q_{2}^{2}$, ${ }\phi_{1}^{2}q_{2}^{4}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{4}\phi_{1}q_{2}^{2}$, ${ }M_{6}\phi_{1}q_{2}\tilde{q}_{1}$	${}$	-2	t^2.152 + t^2.239 + t^2.283 + t^2.326 + 2*t^2.957 + t^3. + t^3.087 + t^3.761 + t^3.804 + t^4.304 + t^4.391 + t^4.435 + 3*t^4.478 + t^4.522 + 3*t^4.565 + t^4.609 + 2*t^4.652 + 2*t^5.109 + 2*t^5.196 + 3*t^5.239 + 3*t^5.283 + 2*t^5.326 + t^5.37 + t^5.413 + 3*t^5.913 + 2*t^5.957 - 2*t^6. + 3*t^6.043 + t^6.087 + t^6.13 + t^6.174 + t^6.457 + t^6.544 + t^6.587 + 2*t^6.63 + 4*t^6.717 + 3*t^6.761 + 4*t^6.804 + 2*t^6.848 + 4*t^6.891 + 2*t^6.935 + 2*t^6.978 + 2*t^7.261 + 2*t^7.348 + t^7.391 + 5*t^7.435 + t^7.478 + 4*t^7.522 + 5*t^7.565 + 5*t^7.609 + 4*t^7.652 + 2*t^7.739 + 3*t^8.065 - t^8.152 + 4*t^8.196 + t^8.283 - t^8.326 + 2*t^8.37 + 2*t^8.413 + 3*t^8.456 + t^8.5 + t^8.609 + t^8.696 + t^8.739 + 2*t^8.783 + t^8.826 + 6*t^8.87 + 2*t^8.913 - 2*t^8.957 - t^4.478/y - t^6.63/y - t^6.761/y + t^7.391/y + t^7.478/y + (2*t^7.522)/y + t^7.565/y + t^7.609/y + (2*t^8.109)/y + t^8.152/y + (3*t^8.196)/y + (4*t^8.239)/y + (3*t^8.283)/y + (3*t^8.326)/y + t^8.37/y + t^8.413/y - t^8.783/y + t^8.913/y + (3*t^8.957)/y - t^4.478*y - t^6.63*y - t^6.761*y + t^7.391*y + t^7.478*y + 2*t^7.522*y + t^7.565*y + t^7.609*y + 2*t^8.109*y + t^8.152*y + 3*t^8.196*y + 4*t^8.239*y + 3*t^8.283*y + 3*t^8.326*y + t^8.37*y + t^8.413*y - t^8.783*y + t^8.913*y + 3*t^8.957*y	t^2.152/g1^9 + t^2.239/g1 + g1^3*t^2.283 + g1^7*t^2.326 + (2*t^2.957)/g1^4 + t^3. + g1^8*t^3.087 + g1*t^3.761 + g1^5*t^3.804 + t^4.304/g1^18 + t^4.391/g1^10 + t^4.435/g1^6 + (3*t^4.478)/g1^2 + g1^2*t^4.522 + 3*g1^6*t^4.565 + g1^10*t^4.609 + 2*g1^14*t^4.652 + (2*t^5.109)/g1^13 + (2*t^5.196)/g1^5 + (3*t^5.239)/g1 + 3*g1^3*t^5.283 + 2*g1^7*t^5.326 + g1^11*t^5.37 + g1^15*t^5.413 + (3*t^5.913)/g1^8 + (2*t^5.957)/g1^4 - 2*t^6. + 3*g1^4*t^6.043 + g1^8*t^6.087 + g1^12*t^6.13 + g1^16*t^6.174 + t^6.457/g1^27 + t^6.544/g1^19 + t^6.587/g1^15 + (2*t^6.63)/g1^11 + (4*t^6.717)/g1^3 + 3*g1*t^6.761 + 4*g1^5*t^6.804 + 2*g1^9*t^6.848 + 4*g1^13*t^6.891 + 2*g1^17*t^6.935 + 2*g1^21*t^6.978 + (2*t^7.261)/g1^22 + (2*t^7.348)/g1^14 + t^7.391/g1^10 + (5*t^7.435)/g1^6 + t^7.478/g1^2 + 4*g1^2*t^7.522 + 5*g1^6*t^7.565 + 5*g1^10*t^7.609 + 4*g1^14*t^7.652 + 2*g1^22*t^7.739 + (3*t^8.065)/g1^17 - t^8.152/g1^9 + (4*t^8.196)/g1^5 + g1^3*t^8.283 - g1^7*t^8.326 + 2*g1^11*t^8.37 + 2*g1^15*t^8.413 + 3*g1^19*t^8.456 + g1^23*t^8.5 + t^8.609/g1^36 + t^8.696/g1^28 + t^8.739/g1^24 + (2*t^8.783)/g1^20 + t^8.826/g1^16 + (6*t^8.87)/g1^12 + (2*t^8.913)/g1^8 - (2*t^8.957)/g1^4 - t^4.478/(g1^2*y) - t^6.63/(g1^11*y) - (g1*t^6.761)/y + t^7.391/(g1^10*y) + t^7.478/(g1^2*y) + (2*g1^2*t^7.522)/y + (g1^6*t^7.565)/y + (g1^10*t^7.609)/y + (2*t^8.109)/(g1^13*y) + t^8.152/(g1^9*y) + (3*t^8.196)/(g1^5*y) + (4*t^8.239)/(g1*y) + (3*g1^3*t^8.283)/y + (3*g1^7*t^8.326)/y + (g1^11*t^8.37)/y + (g1^15*t^8.413)/y - t^8.783/(g1^20*y) + t^8.913/(g1^8*y) + (3*t^8.957)/(g1^4*y) - (t^4.478*y)/g1^2 - (t^6.63*y)/g1^11 - g1*t^6.761*y + (t^7.391*y)/g1^10 + (t^7.478*y)/g1^2 + 2*g1^2*t^7.522*y + g1^6*t^7.565*y + g1^10*t^7.609*y + (2*t^8.109*y)/g1^13 + (t^8.152*y)/g1^9 + (3*t^8.196*y)/g1^5 + (4*t^8.239*y)/g1 + 3*g1^3*t^8.283*y + 3*g1^7*t^8.326*y + g1^11*t^8.37*y + g1^15*t^8.413*y - (t^8.783*y)/g1^20 + (t^8.913*y)/g1^8 + (3*t^8.957*y)/g1^4

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
58926	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{5}\phi_{1}q_{1}q_{2}$ + ${ }M_{4}^{2}$ + ${ }M_{6}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}M_{7}$ + ${ }M_{5}M_{8}$	0.6065	0.7781	0.7795	[M:[1.2545, 0.9639, 0.7455, 1.0, 0.7635, 0.7094, 1.0361, 1.2365], q:[0.5, 0.2455], qb:[0.5361, 0.7545], phi:[0.491]]	t^2.128 + t^2.236 + t^2.345 + 2*t^2.946 + t^3. + t^3.108 + t^3.709 + t^3.764 + t^3.818 + t^4.257 + t^4.365 + 3*t^4.473 + 2*t^4.581 + 2*t^4.689 + 2*t^5.074 + 2*t^5.182 + t^5.236 + 2*t^5.291 + 2*t^5.345 + t^5.453 + t^5.838 + 3*t^5.892 + 3*t^5.946 - 2*t^6. - t^4.473/y - t^4.473*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
50983	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{5}\phi_{1}q_{1}q_{2}$ + ${ }M_{4}^{2}$ + ${ }M_{6}\tilde{q}_{1}\tilde{q}_{2}$	0.6295	0.819	0.7686	[M:[1.2582, 0.9342, 0.7418, 1.0, 0.7747, 0.676], q:[0.5, 0.2418], qb:[0.5658, 0.7582], phi:[0.4835]]	t^2.028 + t^2.225 + t^2.324 + t^2.423 + t^2.803 + 2*t^2.901 + t^3. + t^3.775 + t^3.873 + t^4.056 + t^4.253 + t^4.352 + 3*t^4.451 + t^4.549 + 3*t^4.648 + t^4.747 + t^4.83 + 2*t^4.846 + 2*t^4.929 + t^5.028 + 3*t^5.127 + 3*t^5.225 + 3*t^5.324 + t^5.423 + t^5.605 + 2*t^5.704 + 4*t^5.803 + 2*t^5.901 - 2*t^6. - t^4.451/y - t^4.451*y	detail