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
362	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}^{2}$ + ${ }M_{3}^{2}$	0.7272	0.8931	0.8142	[M:[1.0, 0.7935, 1.0, 0.7935], q:[0.4543, 0.5457], qb:[0.5457, 0.6608], phi:[0.4484]]	[M:[[0, 0], [-4, -4], [0, 0], [-4, -4]], q:[[-4, 0], [4, 0]], qb:[[4, 0], [0, 4]], phi:[[-1, -1]]]	2

Relevant Operators	Marginal Operators	$n_{marginal}$$-$$|F_{IR}|$	Superconformal Index	Refined index
${}M_{2}$, ${ }M_{4}$, ${ }\phi_{1}^{2}$, ${ }M_{1}$, ${ }M_{3}$, ${ }q_{2}\tilde{q}_{1}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{2}^{2}$, ${ }M_{2}M_{4}$, ${ }M_{4}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{2}\phi_{1}^{2}$, ${ }M_{4}\phi_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{1}M_{2}$, ${ }M_{2}M_{3}$, ${ }M_{1}M_{4}$, ${ }M_{3}M_{4}$, ${ }\phi_{1}^{4}$, ${ }M_{1}\phi_{1}^{2}$, ${ }M_{3}\phi_{1}^{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$	${}M_{1}M_{3}$	-3	2*t^2.381 + t^2.69 + 2*t^3. + t^3.274 + t^3.345 + t^4.071 + 2*t^4.345 + 3*t^4.619 + t^4.69 + 3*t^4.761 + 2*t^4.965 + 2*t^5.071 + t^5.31 + 4*t^5.381 + 2*t^5.69 + t^5.964 - 3*t^6. + t^6.036 + 2*t^6.452 + t^6.548 - t^6.619 + t^6.691 + 3*t^6.726 + t^6.761 + 4*t^7. + 2*t^7.035 + 2*t^7.071 + 4*t^7.142 + 3*t^7.31 + 3*t^7.345 + t^7.416 + 3*t^7.452 + 4*t^7.619 + 2*t^7.69 + 6*t^7.761 + 3*t^7.893 - 3*t^7.929 + 2*t^7.965 + t^8.036 + 4*t^8.071 - t^8.107 + t^8.142 - 2*t^8.274 + 2*t^8.31 - 4*t^8.381 + 2*t^8.416 - t^8.62 - t^8.655 - t^8.726 + t^8.762 + 3*t^8.832 + 4*t^8.964 - t^4.345/y - (2*t^6.726)/y - t^7.035/y + t^7.655/y + t^7.761/y + (2*t^7.965)/y + (2*t^8.071)/y + (4*t^8.381)/y + (2*t^8.655)/y + (2*t^8.69)/y + (2*t^8.726)/y + t^8.964/y - t^4.345*y - 2*t^6.726*y - t^7.035*y + t^7.655*y + t^7.761*y + 2*t^7.965*y + 2*t^8.071*y + 4*t^8.381*y + 2*t^8.655*y + 2*t^8.69*y + 2*t^8.726*y + t^8.964*y	(2*t^2.381)/(g1^4*g2^4) + t^2.69/(g1^2*g2^2) + 2*t^3. + g1^8*t^3.274 + (g2^4*t^3.345)/g1^4 + t^4.071/(g1^9*g2) + (2*t^4.345)/(g1*g2) + (3*g1^7*t^4.619)/g2 + (g2^3*t^4.69)/g1^5 + (3*t^4.761)/(g1^8*g2^8) + 2*g1^3*g2^3*t^4.965 + (2*t^5.071)/(g1^6*g2^6) + (g2^7*t^5.31)/g1 + (4*t^5.381)/(g1^4*g2^4) + (2*t^5.69)/(g1^2*g2^2) + (g1^6*t^5.964)/g2^2 - 3*t^6. + (g2^2*t^6.036)/g1^6 + (2*t^6.452)/(g1^13*g2^5) + g1^16*t^6.548 - g1^4*g2^4*t^6.619 + (g2^8*t^6.691)/g1^8 + (3*t^6.726)/(g1^5*g2^5) + t^6.761/(g1^11*g2^3) + (4*g1^3*t^7.)/g2^5 + (2*t^7.035)/(g1^3*g2^3) + (2*t^7.071)/(g1^9*g2) + (4*t^7.142)/(g1^12*g2^12) + (3*g1^5*t^7.31)/g2^3 + (3*t^7.345)/(g1*g2) + (g2^3*t^7.416)/g1^13 + (3*t^7.452)/(g1^10*g2^10) + (4*g1^7*t^7.619)/g2 + (2*g2^3*t^7.69)/g1^5 + (6*t^7.761)/(g1^8*g2^8) + (3*g1^15*t^7.893)/g2 - 3*g1^9*g2*t^7.929 + 2*g1^3*g2^3*t^7.965 + (g2^7*t^8.036)/g1^9 + (4*t^8.071)/(g1^6*g2^6) - t^8.107/(g1^12*g2^4) + t^8.142/(g1^18*g2^2) - 2*g1^5*g2^5*t^8.274 + (2*g2^7*t^8.31)/g1 - (4*t^8.381)/(g1^4*g2^4) + (2*t^8.416)/(g1^10*g2^2) - g1*g2^9*t^8.62 - (2*g1^4*t^8.655)/g2^4 + (g2^11*t^8.655)/g1^5 - t^8.726/g1^8 + (g2^2*t^8.762)/g1^14 + (3*t^8.832)/(g1^17*g2^9) + (4*g1^6*t^8.964)/g2^2 - t^4.345/(g1*g2*y) - (2*t^6.726)/(g1^5*g2^5*y) - t^7.035/(g1^3*g2^3*y) + (g1*g2*t^7.655)/y + t^7.761/(g1^8*g2^8*y) + (2*g1^3*g2^3*t^7.965)/y + (2*t^8.071)/(g1^6*g2^6*y) + (4*t^8.381)/(g1^4*g2^4*y) + (2*g1^4*t^8.655)/(g2^4*y) + (2*t^8.69)/(g1^2*g2^2*y) + (2*t^8.726)/(g1^8*y) + (g1^6*t^8.964)/(g2^2*y) - (t^4.345*y)/(g1*g2) - (2*t^6.726*y)/(g1^5*g2^5) - (t^7.035*y)/(g1^3*g2^3) + g1*g2*t^7.655*y + (t^7.761*y)/(g1^8*g2^8) + 2*g1^3*g2^3*t^7.965*y + (2*t^8.071*y)/(g1^6*g2^6) + (4*t^8.381*y)/(g1^4*g2^4) + (2*g1^4*t^8.655*y)/g2^4 + (2*t^8.69*y)/(g1^2*g2^2) + (2*t^8.726*y)/g1^8 + (g1^6*t^8.964*y)/g2^2

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
1792	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}^{2}$ + ${ }M_{3}^{2}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$	0.7123	0.8829	0.8068	[M:[1.0, 0.6935, 1.0, 0.6935], q:[0.4818, 0.5182], qb:[0.5182, 0.7883], phi:[0.4234]]	2*t^2.081 + t^2.54 + 2*t^3. + t^3.109 + t^3.81 + 4*t^4.161 + 2*t^4.27 + 3*t^4.379 + 2*t^4.621 + 5*t^5.081 + 2*t^5.19 + 2*t^5.54 + t^5.649 - 2*t^6. - t^4.27/y - t^4.27*y	detail
573	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}^{2}$ + ${ }M_{3}^{2}$ + ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$	0.7271	0.893	0.8142	[M:[1.0, 0.7947, 1.0, 0.7947], q:[0.4487, 0.5513], qb:[0.5513, 0.654], phi:[0.4487]]	2*t^2.384 + t^2.692 + 2*t^3. + 2*t^3.308 + t^4.038 + 2*t^4.346 + 4*t^4.654 + 3*t^4.768 + 2*t^4.962 + 2*t^5.076 + t^5.27 + 4*t^5.384 + 2*t^5.692 - t^6. - t^4.346/y - t^4.346*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
227	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}^{2}$	0.7407	0.9101	0.8139	[M:[1.0, 0.7195, 0.8597, 0.8597], q:[0.5, 0.5], qb:[0.6403, 0.6403], phi:[0.4299]]	t^2.158 + 3*t^2.579 + t^3. + 2*t^3.421 + 3*t^4.29 + t^4.317 + 4*t^4.71 + 3*t^4.738 + 3*t^5.131 + 7*t^5.158 + t^5.579 - t^6. - t^4.29/y - t^4.29*y	detail