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
3929	SU2adj1nf2	${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}^{4}$ + ${ }M_{2}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{1}M_{4}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ + ${ }M_{2}q_{1}q_{2}$ + ${ }M_{6}q_{1}q_{2}$	0.6706	0.8685	0.7721	[M:[1.0833, 0.8333, 0.75, 0.9167, 0.9167, 0.8333], q:[0.75, 0.4167], qb:[0.5, 0.3333], phi:[0.5]]	[M:[[0], [0], [0], [0], [0], [0]], q:[[0], [0]], qb:[[0], [0]], phi:[[0]]]	0	{a: 515/768, c: 667/768, M1: 13/12, M2: 5/6, M3: 3/4, M4: 11/12, M5: 11/12, M6: 5/6, q1: 3/4, q2: 5/12, qb1: 1/2, qb2: 1/3, phi1: 1/2}

Relevant Operators	Marginal Operators	$n_{marginal}$$-$$|F_{IR}|$	Superconformal Index	Refined index
${}M_{3}$, ${ }q_{2}\tilde{q}_{2}$, ${ }M_{2}$, ${ }M_{6}$, ${ }\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{4}$, ${ }M_{5}$, ${ }\phi_{1}^{2}$, ${ }q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{3}^{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{3}q_{2}\tilde{q}_{2}$, ${ }q_{2}^{2}\tilde{q}_{2}^{2}$, ${ }M_{2}M_{3}$, ${ }M_{3}M_{6}$, ${ }M_{2}q_{2}\tilde{q}_{2}$, ${ }M_{6}q_{2}\tilde{q}_{2}$, ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{2}\tilde{q}_{1}\tilde{q}_{2}^{2}$, ${ }M_{2}^{2}$, ${ }M_{3}M_{4}$, ${ }M_{3}M_{5}$, ${ }M_{2}M_{6}$, ${ }M_{6}^{2}$, ${ }M_{4}q_{2}\tilde{q}_{2}$, ${ }M_{5}q_{2}\tilde{q}_{2}$, ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{6}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\tilde{q}_{1}^{2}\tilde{q}_{2}^{2}$, ${ }M_{2}M_{4}$, ${ }M_{2}M_{5}$, ${ }M_{4}M_{6}$, ${ }M_{5}M_{6}$, ${ }M_{3}\phi_{1}^{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$, ${ }M_{4}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{5}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{4}^{2}$, ${ }M_{4}M_{5}$, ${ }M_{5}^{2}$, ${ }M_{2}\phi_{1}^{2}$, ${ }M_{6}\phi_{1}^{2}$, ${ }\phi_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$	${}$	-1	2*t^2.25 + 3*t^2.5 + 2*t^2.75 + t^3. + t^3.75 + 2*t^4. + t^4.25 + 4*t^4.5 + 6*t^4.75 + 10*t^5. + 8*t^5.25 + 5*t^5.5 - t^6. + 3*t^6.25 + 6*t^6.5 + 10*t^6.75 + 11*t^7. + 15*t^7.25 + 21*t^7.5 + 18*t^7.75 + 11*t^8. - 5*t^8.5 - 2*t^8.75 - t^4.5/y - t^6.75/y - (2*t^7.)/y - t^7.25/y + t^7.5/y + (7*t^7.75)/y + (9*t^8.)/y + (9*t^8.25)/y + (4*t^8.5)/y + (2*t^8.75)/y - t^4.5*y - t^6.75*y - 2*t^7.*y - t^7.25*y + t^7.5*y + 7*t^7.75*y + 9*t^8.*y + 9*t^8.25*y + 4*t^8.5*y + 2*t^8.75*y	2*t^2.25 + 3*t^2.5 + 2*t^2.75 + t^3. + t^3.75 + 2*t^4. + t^4.25 + 4*t^4.5 + 6*t^4.75 + 10*t^5. + 8*t^5.25 + 5*t^5.5 - t^6. + 3*t^6.25 + 6*t^6.5 + 10*t^6.75 + 11*t^7. + 15*t^7.25 + 21*t^7.5 + 18*t^7.75 + 11*t^8. - 5*t^8.5 - 2*t^8.75 - t^4.5/y - t^6.75/y - (2*t^7.)/y - t^7.25/y + t^7.5/y + (7*t^7.75)/y + (9*t^8.)/y + (9*t^8.25)/y + (4*t^8.5)/y + (2*t^8.75)/y - t^4.5*y - t^6.75*y - 2*t^7.*y - t^7.25*y + t^7.5*y + 7*t^7.75*y + 9*t^8.*y + 9*t^8.25*y + 4*t^8.5*y + 2*t^8.75*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
5492	${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}^{4}$ + ${ }M_{2}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{1}M_{4}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ + ${ }M_{2}q_{1}q_{2}$ + ${ }M_{6}q_{1}q_{2}$ + ${ }M_{3}M_{7}$	0.6515	0.8338	0.7814	[M:[1.0833, 0.8333, 0.75, 0.9167, 0.9167, 0.8333, 1.25], q:[0.75, 0.4167], qb:[0.5, 0.3333], phi:[0.5]]	t^2.25 + 3*t^2.5 + 2*t^2.75 + t^3. + 2*t^3.75 + 2*t^4. + t^4.25 + 2*t^4.5 + 3*t^4.75 + 8*t^5. + 7*t^5.25 + 5*t^5.5 - t^6. - t^4.5/y - t^4.5*y	detail	{a: 4003/6144, c: 5123/6144, M1: 13/12, M2: 5/6, M3: 3/4, M4: 11/12, M5: 11/12, M6: 5/6, M7: 5/4, q1: 3/4, q2: 5/12, qb1: 1/2, qb2: 1/3, phi1: 1/2}
5493	${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}^{4}$ + ${ }M_{2}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{1}M_{4}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ + ${ }M_{2}q_{1}q_{2}$ + ${ }M_{6}q_{1}q_{2}$ + ${ }M_{7}q_{1}\tilde{q}_{1}$	0.6896	0.9032	0.7636	[M:[1.0833, 0.8333, 0.75, 0.9167, 0.9167, 0.8333, 0.75], q:[0.75, 0.4167], qb:[0.5, 0.3333], phi:[0.5]]	3*t^2.25 + 3*t^2.5 + 2*t^2.75 + t^3. + 2*t^4. + t^4.25 + 7*t^4.5 + 9*t^4.75 + 12*t^5. + 9*t^5.25 + 5*t^5.5 - 3*t^6. - t^4.5/y - t^4.5*y	detail	{a: 4237/6144, c: 5549/6144, M1: 13/12, M2: 5/6, M3: 3/4, M4: 11/12, M5: 11/12, M6: 5/6, M7: 3/4, q1: 3/4, q2: 5/12, qb1: 1/2, qb2: 1/3, phi1: 1/2}

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
3655	SU2adj1nf2	${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}^{4}$ + ${ }M_{2}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{1}M_{4}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ + ${ }M_{2}q_{1}q_{2}$	0.6563	0.8438	0.7778	[M:[1.0833, 0.8333, 0.75, 0.9167, 0.9167], q:[0.75, 0.4167], qb:[0.5, 0.3333], phi:[0.5]]	2*t^2.25 + 2*t^2.5 + 2*t^2.75 + t^3. + t^3.5 + t^3.75 + 2*t^4. + t^4.25 + 4*t^4.5 + 4*t^4.75 + 7*t^5. + 6*t^5.25 + 4*t^5.5 + 2*t^5.75 + t^6. - t^4.5/y - t^4.5*y	detail	{a: 21/32, c: 27/32, M1: 13/12, M2: 5/6, M3: 3/4, M4: 11/12, M5: 11/12, q1: 3/4, q2: 5/12, qb1: 1/2, qb2: 1/3, phi1: 1/2}