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
1775	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}^{2}$ + ${ }M_{4}\phi_{1}q_{2}^{2}$ + ${ }M_{5}q_{1}\tilde{q}_{1}$	0.6069	0.7772	0.7809	[M:[1.0, 1.026, 0.9481, 1.026, 0.7104], q:[0.7565, 0.2435], qb:[0.5331, 0.5188], phi:[0.487]]	[M:[[0, 0], [4, 4], [-8, -8], [4, 4], [-9, -1]], q:[[1, 1], [-1, -1]], qb:[[8, 0], [0, 8]], phi:[[-2, -2]]]	2

Relevant Operators	Marginal Operators	$n_{marginal}$$-$$|F_{IR}|$	Superconformal Index	Refined index
${}M_{5}$, ${ }q_{2}\tilde{q}_{2}$, ${ }q_{2}\tilde{q}_{1}$, ${ }M_{3}$, ${ }M_{1}$, ${ }M_{2}$, ${ }M_{4}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }q_{1}\tilde{q}_{2}$, ${ }M_{5}^{2}$, ${ }M_{5}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }M_{5}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }q_{2}^{2}\tilde{q}_{2}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }q_{2}^{2}\tilde{q}_{1}^{2}$, ${ }M_{3}M_{5}$, ${ }M_{1}M_{5}$, ${ }M_{2}M_{5}$, ${ }M_{4}M_{5}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{2}q_{2}\tilde{q}_{2}$, ${ }M_{4}q_{2}\tilde{q}_{2}$, ${ }M_{2}q_{2}\tilde{q}_{1}$, ${ }M_{4}q_{2}\tilde{q}_{1}$, ${ }M_{3}^{2}$, ${ }M_{1}M_{3}$, ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{2}M_{3}$, ${ }M_{3}M_{4}$, ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{1}$	${}$	-3	t^2.131 + t^2.287 + t^2.33 + t^2.844 + t^3. + 2*t^3.078 + t^3.748 + t^3.791 + t^3.826 + t^4.262 + t^4.418 + t^4.461 + 2*t^4.574 + 2*t^4.617 + 2*t^4.66 + t^4.975 + t^5.131 + 2*t^5.209 + t^5.287 + t^5.33 + 2*t^5.365 + 2*t^5.408 + t^5.688 + t^5.844 + t^5.879 + 2*t^5.922 - 3*t^6. + t^6.035 - t^6.043 + 3*t^6.078 + t^6.113 + t^6.121 + 3*t^6.156 + t^6.393 + t^6.549 + t^6.592 + 2*t^6.705 - t^6.713 + t^6.748 + t^6.791 + t^6.826 + 2*t^6.861 + 4*t^6.904 + 2*t^6.947 + 2*t^6.99 + t^7.106 + t^7.262 + 2*t^7.34 + t^7.418 - t^7.461 + 2*t^7.496 + 2*t^7.574 + t^7.617 + 4*t^7.652 + t^7.66 + 3*t^7.695 + 3*t^7.738 + t^7.819 + t^7.975 + t^8.01 + 2*t^8.053 - 3*t^8.131 + t^8.166 - t^8.174 + 2*t^8.209 - 2*t^8.287 + 2*t^8.322 - 5*t^8.33 + 3*t^8.365 - t^8.373 + 2*t^8.4 + 3*t^8.408 + 3*t^8.443 + 2*t^8.451 + 3*t^8.486 + t^8.524 + t^8.533 + t^8.68 + t^8.688 + t^8.723 + t^8.766 + 2*t^8.836 - 3*t^8.844 + t^8.879 + t^8.922 + 2*t^8.992 - t^4.461/y - t^6.592/y - t^7.305/y + t^7.383/y + t^7.418/y + t^7.461/y - t^7.539/y + (2*t^7.617)/y + t^7.975/y + (2*t^8.131)/y + t^8.174/y + (2*t^8.209)/y + t^8.287/y + (2*t^8.33)/y + (2*t^8.365)/y + (2*t^8.408)/y - t^8.723/y + t^8.844/y + t^8.879/y + (3*t^8.922)/y + t^8.957/y - t^4.461*y - t^6.592*y - t^7.305*y + t^7.383*y + t^7.418*y + t^7.461*y - t^7.539*y + 2*t^7.617*y + t^7.975*y + 2*t^8.131*y + t^8.174*y + 2*t^8.209*y + t^8.287*y + 2*t^8.33*y + 2*t^8.365*y + 2*t^8.408*y - t^8.723*y + t^8.844*y + t^8.879*y + 3*t^8.922*y + t^8.957*y	t^2.131/(g1^9*g2) + (g2^7*t^2.287)/g1 + (g1^7*t^2.33)/g2 + t^2.844/(g1^8*g2^8) + t^3. + 2*g1^4*g2^4*t^3.078 + (g2^5*t^3.748)/g1^3 + (g1^5*t^3.791)/g2^3 + g1*g2^9*t^3.826 + t^4.262/(g1^18*g2^2) + (g2^6*t^4.418)/g1^10 + t^4.461/(g1^2*g2^2) + (2*g2^14*t^4.574)/g1^2 + 2*g1^6*g2^6*t^4.617 + (2*g1^14*t^4.66)/g2^2 + t^4.975/(g1^17*g2^9) + t^5.131/(g1^9*g2) + (2*g2^3*t^5.209)/g1^5 + (g2^7*t^5.287)/g1 + (g1^7*t^5.33)/g2 + 2*g1^3*g2^11*t^5.365 + 2*g1^11*g2^3*t^5.408 + t^5.688/(g1^16*g2^16) + t^5.844/(g1^8*g2^8) + (g2^4*t^5.879)/g1^12 + (2*t^5.922)/(g1^4*g2^4) - 3*t^6. + (g2^12*t^6.035)/g1^4 - (g1^8*t^6.043)/g2^8 + 3*g1^4*g2^4*t^6.078 + g2^16*t^6.113 + (g1^12*t^6.121)/g2^4 + 3*g1^8*g2^8*t^6.156 + t^6.393/(g1^27*g2^3) + (g2^5*t^6.549)/g1^19 + t^6.592/(g1^11*g2^3) + (2*g2^13*t^6.705)/g1^11 - (g1*t^6.713)/g2^7 + (g2^5*t^6.748)/g1^3 + (g1^5*t^6.791)/g2^3 + g1*g2^9*t^6.826 + (2*g2^21*t^6.861)/g1^3 + 4*g1^5*g2^13*t^6.904 + 2*g1^13*g2^5*t^6.947 + (2*g1^21*t^6.99)/g2^3 + t^7.106/(g1^26*g2^10) + t^7.262/(g1^18*g2^2) + (2*g2^2*t^7.34)/g1^14 + (g2^6*t^7.418)/g1^10 - t^7.461/(g1^2*g2^2) + (2*g2^10*t^7.496)/g1^6 + (2*g2^14*t^7.574)/g1^2 + g1^6*g2^6*t^7.617 + 4*g1^2*g2^18*t^7.652 + (g1^14*t^7.66)/g2^2 + 3*g1^10*g2^10*t^7.695 + 3*g1^18*g2^2*t^7.738 + t^7.819/(g1^25*g2^17) + t^7.975/(g1^17*g2^9) + (g2^3*t^8.01)/g1^21 + (2*t^8.053)/(g1^13*g2^5) - (3*t^8.131)/(g1^9*g2) + (g2^11*t^8.166)/g1^13 - t^8.174/(g1*g2^9) + (2*g2^3*t^8.209)/g1^5 - (2*g2^7*t^8.287)/g1 + (2*g2^19*t^8.322)/g1^5 - (5*g1^7*t^8.33)/g2 + 3*g1^3*g2^11*t^8.365 - (g1^15*t^8.373)/g2^9 + (2*g2^23*t^8.4)/g1 + 3*g1^11*g2^3*t^8.408 + 3*g1^7*g2^15*t^8.443 + (2*g1^19*t^8.451)/g2^5 + 3*g1^15*g2^7*t^8.486 + t^8.524/(g1^36*g2^4) + t^8.533/(g1^24*g2^24) + (g2^4*t^8.68)/g1^28 + t^8.688/(g1^16*g2^16) + t^8.723/(g1^20*g2^4) + t^8.766/(g1^12*g2^12) + (2*g2^12*t^8.836)/g1^20 - (3*t^8.844)/(g1^8*g2^8) + (g2^4*t^8.879)/g1^12 + t^8.922/(g1^4*g2^4) + (2*g2^20*t^8.992)/g1^12 - t^4.461/(g1^2*g2^2*y) - t^6.592/(g1^11*g2^3*y) - t^7.305/(g1^10*g2^10*y) + t^7.383/(g1^6*g2^6*y) + (g2^6*t^7.418)/(g1^10*y) + t^7.461/(g1^2*g2^2*y) - (g1^2*g2^2*t^7.539)/y + (2*g1^6*g2^6*t^7.617)/y + t^7.975/(g1^17*g2^9*y) + (2*t^8.131)/(g1^9*g2*y) + t^8.174/(g1*g2^9*y) + (2*g2^3*t^8.209)/(g1^5*y) + (g2^7*t^8.287)/(g1*y) + (2*g1^7*t^8.33)/(g2*y) + (2*g1^3*g2^11*t^8.365)/y + (2*g1^11*g2^3*t^8.408)/y - t^8.723/(g1^20*g2^4*y) + t^8.844/(g1^8*g2^8*y) + (g2^4*t^8.879)/(g1^12*y) + (3*t^8.922)/(g1^4*g2^4*y) + (g2^8*t^8.957)/(g1^8*y) - (t^4.461*y)/(g1^2*g2^2) - (t^6.592*y)/(g1^11*g2^3) - (t^7.305*y)/(g1^10*g2^10) + (t^7.383*y)/(g1^6*g2^6) + (g2^6*t^7.418*y)/g1^10 + (t^7.461*y)/(g1^2*g2^2) - g1^2*g2^2*t^7.539*y + 2*g1^6*g2^6*t^7.617*y + (t^7.975*y)/(g1^17*g2^9) + (2*t^8.131*y)/(g1^9*g2) + (t^8.174*y)/(g1*g2^9) + (2*g2^3*t^8.209*y)/g1^5 + (g2^7*t^8.287*y)/g1 + (2*g1^7*t^8.33*y)/g2 + 2*g1^3*g2^11*t^8.365*y + 2*g1^11*g2^3*t^8.408*y - (t^8.723*y)/(g1^20*g2^4) + (t^8.844*y)/(g1^8*g2^8) + (g2^4*t^8.879*y)/g1^12 + (3*t^8.922*y)/(g1^4*g2^4) + (g2^8*t^8.957*y)/g1^8

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
2776	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}^{2}$ + ${ }M_{4}\phi_{1}q_{2}^{2}$ + ${ }M_{5}q_{1}\tilde{q}_{1}$ + ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{2}$	0.6062	0.7757	0.7814	[M:[1.0, 1.0213, 0.9574, 1.0213, 0.734], q:[0.7553, 0.2447], qb:[0.5106, 0.5319], phi:[0.4894]]	t^2.202 + t^2.266 + t^2.33 + t^2.872 + t^3. + 2*t^3.064 + t^3.734 + t^3.798 + t^3.862 + t^4.404 + t^4.468 + 3*t^4.532 + 2*t^4.596 + 2*t^4.66 + t^5.074 + t^5.202 + 3*t^5.266 + 3*t^5.33 + 2*t^5.394 + t^5.744 + t^5.872 + t^5.936 - t^6. - t^4.468/y - t^4.468*y	detail
2777	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}^{2}$ + ${ }M_{4}\phi_{1}q_{2}^{2}$ + ${ }M_{5}q_{1}\tilde{q}_{1}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$	0.627	0.8145	0.7698	[M:[1.0, 1.0323, 0.9353, 1.0323, 0.7096, 0.7096], q:[0.7581, 0.2419], qb:[0.5323, 0.5323], phi:[0.4838]]	2*t^2.129 + 2*t^2.323 + t^2.806 + t^3. + 2*t^3.097 + 2*t^3.774 + 3*t^4.258 + 4*t^4.452 + 6*t^4.645 + 2*t^4.935 + 2*t^5.129 + 4*t^5.226 + 2*t^5.323 + 4*t^5.42 + t^5.612 + t^5.806 + 5*t^5.903 - 5*t^6. - t^4.452/y - t^4.452*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
333	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}^{2}$ + ${ }M_{4}\phi_{1}q_{2}^{2}$	0.5867	0.74	0.7929	[M:[1.0, 1.0193, 0.9615, 1.0193], q:[0.7548, 0.2452], qb:[0.5193, 0.5193], phi:[0.4904]]	2*t^2.293 + t^2.884 + t^3. + 2*t^3.058 + 2*t^3.764 + 2*t^3.822 + 6*t^4.587 + 2*t^5.293 + 4*t^5.351 + t^5.769 + t^5.884 + t^5.942 - 5*t^6. - t^4.471/y - t^4.471*y	detail