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
1569	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{1}M_{3}$ + ${ }M_{1}M_{6}$ + ${ }M_{7}\phi_{1}q_{2}^{2}$	0.7289	0.9135	0.7979	[M:[1.0715, 0.8502, 0.9285, 0.9933, 1.0067, 0.9285, 0.6694], q:[0.5033, 0.4251], qb:[0.5682, 0.5816], phi:[0.4804]]	[M:[[12, 4], [-16, -16], [-12, -4], [8, -8], [-8, 8], [-12, -4], [17, 19]], q:[[-4, 4], [-8, -8]], qb:[[16, 0], [0, 16]], phi:[[-1, -3]]]	2

Relevant Operators	Marginal Operators	$n_{marginal}$$-$$|F_{IR}|$	Superconformal Index	Refined index
${}M_{7}$, ${ }M_{2}$, ${ }M_{3}$, ${ }M_{6}$, ${ }\phi_{1}^{2}$, ${ }M_{4}$, ${ }M_{5}$, ${ }q_{1}\tilde{q}_{2}$, ${ }M_{7}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{2}M_{7}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{3}M_{7}$, ${ }M_{6}M_{7}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{7}\phi_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{4}M_{7}$, ${ }M_{5}M_{7}$, ${ }M_{2}^{2}$, ${ }M_{7}q_{1}\tilde{q}_{2}$, ${ }M_{2}M_{3}$, ${ }M_{2}M_{6}$, ${ }M_{2}\phi_{1}^{2}$, ${ }M_{3}^{2}$, ${ }M_{2}M_{5}$, ${ }M_{3}M_{6}$, ${ }M_{6}^{2}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{6}\phi_{1}^{2}$, ${ }M_{3}M_{4}$, ${ }M_{4}M_{6}$, ${ }\phi_{1}^{4}$, ${ }M_{3}M_{5}$, ${ }M_{5}M_{6}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{5}\phi_{1}^{2}$	${}$	-3	t^2.008 + t^2.551 + 2*t^2.785 + t^2.883 + t^2.98 + t^3.02 + t^3.255 + t^4.016 + t^4.227 + t^4.421 + 2*t^4.461 + t^4.559 + t^4.656 + t^4.696 + 2*t^4.793 + t^4.851 + 2*t^4.891 + t^4.931 + t^4.988 + t^5.028 + t^5.101 + t^5.263 + 2*t^5.336 + t^5.433 + 3*t^5.571 + 2*t^5.668 + t^5.765 + 2*t^5.805 + t^5.863 + t^5.903 - 3*t^6. + t^6.024 + 2*t^6.04 + t^6.137 - t^6.195 - t^6.235 + t^6.275 + t^6.469 + t^6.51 + t^6.567 + t^6.664 + t^6.704 + t^6.777 + 2*t^6.801 + t^6.859 + 2*t^6.899 + t^6.939 + t^6.996 + 3*t^7.012 + t^7.036 + t^7.109 + t^7.207 + 4*t^7.247 + t^7.271 + t^7.304 + 3*t^7.344 + t^7.401 + 2*t^7.441 + 4*t^7.481 + 2*t^7.579 + t^7.636 + t^7.652 + 2*t^7.676 + 4*t^7.716 + t^7.733 + t^7.773 + 2*t^7.814 + t^7.83 + t^7.871 + 2*t^7.887 + t^7.911 + 2*t^7.951 - t^7.968 + t^7.984 - 4*t^8.008 + t^8.032 + t^8.048 + 3*t^8.121 + t^8.146 + t^8.186 - t^8.203 + 2*t^8.219 - t^8.243 + t^8.283 - t^8.316 + 4*t^8.356 + 3*t^8.453 + t^8.478 + t^8.518 - 3*t^8.551 + t^8.575 + 3*t^8.591 + t^8.648 + t^8.672 + 3*t^8.688 + t^8.712 - 8*t^8.785 + 2*t^8.81 + 3*t^8.826 + t^8.867 - 2*t^8.883 + 2*t^8.907 + 4*t^8.923 + t^8.947 - 4*t^8.98 - t^4.441/y - t^6.449/y - t^6.992/y - t^7.227/y - t^7.324/y + (2*t^7.559)/y + t^7.656/y + (2*t^7.793)/y + (2*t^7.891)/y + t^7.988/y + t^8.028/y + t^8.263/y + (2*t^8.336)/y + (2*t^8.433)/y - t^8.457/y + t^8.531/y + (2*t^8.571)/y + (2*t^8.668)/y + (2*t^8.765)/y + (3*t^8.805)/y + t^8.863/y + t^8.903/y - t^4.441*y - t^6.449*y - t^6.992*y - t^7.227*y - t^7.324*y + 2*t^7.559*y + t^7.656*y + 2*t^7.793*y + 2*t^7.891*y + t^7.988*y + t^8.028*y + t^8.263*y + 2*t^8.336*y + 2*t^8.433*y - t^8.457*y + t^8.531*y + 2*t^8.571*y + 2*t^8.668*y + 2*t^8.765*y + 3*t^8.805*y + t^8.863*y + t^8.903*y	g1^17*g2^19*t^2.008 + t^2.551/(g1^16*g2^16) + (2*t^2.785)/(g1^12*g2^4) + t^2.883/(g1^2*g2^6) + (g1^8*t^2.98)/g2^8 + (g2^8*t^3.02)/g1^8 + (g2^20*t^3.255)/g1^4 + g1^34*g2^38*t^4.016 + t^4.227/(g1^13*g2^7) + (g1^7*t^4.421)/g2^11 + (2*g2^5*t^4.461)/g1^9 + g1*g2^3*t^4.559 + g1^11*g2*t^4.656 + (g2^17*t^4.696)/g1^5 + 2*g1^5*g2^15*t^4.793 + (g1^31*t^4.851)/g2^3 + 2*g1^15*g2^13*t^4.891 + (g2^29*t^4.931)/g1 + g1^25*g2^11*t^4.988 + g1^9*g2^27*t^5.028 + t^5.101/(g1^32*g2^32) + g1^13*g2^39*t^5.263 + (2*t^5.336)/(g1^28*g2^20) + t^5.433/(g1^18*g2^22) + (3*t^5.571)/(g1^24*g2^8) + (2*t^5.668)/(g1^14*g2^10) + t^5.765/(g1^4*g2^12) + (2*g2^4*t^5.805)/g1^20 + (g1^6*t^5.863)/g2^14 + (g2^2*t^5.903)/g1^10 - 3*t^6. + g1^51*g2^57*t^6.024 + (2*g2^16*t^6.04)/g1^16 + (g2^14*t^6.137)/g1^6 - (g1^20*t^6.195)/g2^4 - g1^4*g2^12*t^6.235 + (g2^28*t^6.275)/g1^12 + g1^8*g2^24*t^6.469 + (g2^40*t^6.51)/g1^8 + g1^18*g2^22*t^6.567 + g1^28*g2^20*t^6.664 + g1^12*g2^36*t^6.704 + t^6.777/(g1^29*g2^23) + 2*g1^22*g2^34*t^6.801 + g1^48*g2^16*t^6.859 + 2*g1^32*g2^32*t^6.899 + g1^16*g2^48*t^6.939 + g1^42*g2^30*t^6.996 + (3*t^7.012)/(g1^25*g2^11) + g1^26*g2^46*t^7.036 + t^7.109/(g1^15*g2^13) + t^7.207/(g1^5*g2^15) + (4*g2*t^7.247)/g1^21 + g1^30*g2^58*t^7.271 + (g1^5*t^7.304)/g2^17 + (3*t^7.344)/(g1^11*g2) + (g1^15*t^7.401)/g2^19 + (2*t^7.441)/(g1*g2^3) + (4*g2^13*t^7.481)/g1^17 + (2*g2^11*t^7.579)/g1^7 + (g1^19*t^7.636)/g2^7 + t^7.652/(g1^48*g2^48) + 2*g1^3*g2^9*t^7.676 + (4*g2^25*t^7.716)/g1^13 + (g1^29*t^7.733)/g2^9 + g1^13*g2^7*t^7.773 + (2*g2^23*t^7.814)/g1^3 + (g1^39*t^7.83)/g2^11 + g1^23*g2^5*t^7.871 + (2*t^7.887)/(g1^44*g2^36) + g1^7*g2^21*t^7.911 + (2*g2^37*t^7.951)/g1^9 - g1^33*g2^3*t^7.968 + t^7.984/(g1^34*g2^38) - 4*g1^17*g2^19*t^8.008 + g1^68*g2^76*t^8.032 + g1*g2^35*t^8.048 + (3*t^8.121)/(g1^40*g2^24) + g1^11*g2^33*t^8.146 + (g2^49*t^8.186)/g1^5 - g1^37*g2^15*t^8.203 + (2*t^8.219)/(g1^30*g2^26) - g1^21*g2^31*t^8.243 + g1^5*g2^47*t^8.283 - t^8.316/(g1^20*g2^28) + (4*t^8.356)/(g1^36*g2^12) + (3*t^8.453)/(g1^26*g2^14) + g1^25*g2^43*t^8.478 + g1^9*g2^59*t^8.518 - (3*t^8.551)/(g1^16*g2^16) + g1^35*g2^41*t^8.575 + (3*t^8.591)/g1^32 + t^8.648/(g1^6*g2^18) + g1^45*g2^39*t^8.672 + (3*t^8.688)/(g1^22*g2^2) + g1^29*g2^55*t^8.712 - (8*t^8.785)/(g1^12*g2^4) + 2*g1^39*g2^53*t^8.81 + (3*g2^12*t^8.826)/g1^28 + g1^65*g2^35*t^8.867 - (2*t^8.883)/(g1^2*g2^6) + 2*g1^49*g2^51*t^8.907 + (4*g2^10*t^8.923)/g1^18 + g1^33*g2^67*t^8.947 - (4*g1^8*t^8.98)/g2^8 - t^4.441/(g1*g2^3*y) - (g1^16*g2^16*t^6.449)/y - t^6.992/(g1^17*g2^19*y) - t^7.227/(g1^13*g2^7*y) - t^7.324/(g1^3*g2^9*y) + (2*g1*g2^3*t^7.559)/y + (g1^11*g2*t^7.656)/y + (2*g1^5*g2^15*t^7.793)/y + (2*g1^15*g2^13*t^7.891)/y + (g1^25*g2^11*t^7.988)/y + (g1^9*g2^27*t^8.028)/y + (g1^13*g2^39*t^8.263)/y + (2*t^8.336)/(g1^28*g2^20*y) + (2*t^8.433)/(g1^18*g2^22*y) - (g1^33*g2^35*t^8.457)/y + t^8.531/(g1^8*g2^24*y) + (2*t^8.571)/(g1^24*g2^8*y) + (2*t^8.668)/(g1^14*g2^10*y) + (2*t^8.765)/(g1^4*g2^12*y) + (3*g2^4*t^8.805)/(g1^20*y) + (g1^6*t^8.863)/(g2^14*y) + (g2^2*t^8.903)/(g1^10*y) - (t^4.441*y)/(g1*g2^3) - g1^16*g2^16*t^6.449*y - (t^6.992*y)/(g1^17*g2^19) - (t^7.227*y)/(g1^13*g2^7) - (t^7.324*y)/(g1^3*g2^9) + 2*g1*g2^3*t^7.559*y + g1^11*g2*t^7.656*y + 2*g1^5*g2^15*t^7.793*y + 2*g1^15*g2^13*t^7.891*y + g1^25*g2^11*t^7.988*y + g1^9*g2^27*t^8.028*y + g1^13*g2^39*t^8.263*y + (2*t^8.336*y)/(g1^28*g2^20) + (2*t^8.433*y)/(g1^18*g2^22) - g1^33*g2^35*t^8.457*y + (t^8.531*y)/(g1^8*g2^24) + (2*t^8.571*y)/(g1^24*g2^8) + (2*t^8.668*y)/(g1^14*g2^10) + (2*t^8.765*y)/(g1^4*g2^12) + (3*g2^4*t^8.805*y)/g1^20 + (g1^6*t^8.863*y)/g2^14 + (g2^2*t^8.903*y)/g1^10

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
2700	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{1}M_{3}$ + ${ }M_{1}M_{6}$ + ${ }M_{7}\phi_{1}q_{2}^{2}$ + ${ }M_{5}M_{8}$	0.7308	0.9154	0.7983	[M:[1.0576, 0.8505, 0.9424, 0.9657, 1.0343, 0.9424, 0.6725, 0.9657], q:[0.5172, 0.4252], qb:[0.5405, 0.6091], phi:[0.477]]	t^2.017 + t^2.551 + 2*t^2.827 + t^2.862 + 2*t^2.897 + t^3.379 + t^4.035 + t^4.258 + t^4.328 + 2*t^4.534 + t^4.569 + t^4.604 + t^4.674 + t^4.81 + 2*t^4.845 + 2*t^4.88 + 2*t^4.915 + t^5.085 + t^5.103 + 2*t^5.379 + t^5.396 + t^5.414 + t^5.449 + 2*t^5.654 + 2*t^5.689 + 3*t^5.724 + 2*t^5.759 + 2*t^5.794 - 4*t^6. - t^4.431/y - t^4.431*y	detail
2702	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{1}M_{3}$ + ${ }M_{1}M_{6}$ + ${ }M_{7}\phi_{1}q_{2}^{2}$ + ${ }\phi_{1}q_{1}\tilde{q}_{2}$	0.5957	0.7565	0.7874	[M:[1.011, 0.6969, 0.989, 0.719, 1.281, 0.989, 0.8761], q:[0.6405, 0.3485], qb:[0.3706, 0.9325], phi:[0.427]]	t^2.091 + t^2.157 + t^2.562 + t^2.628 + 2*t^2.967 + t^3.438 + t^3.504 + t^3.843 + t^4.182 + t^4.248 + t^4.314 + t^4.653 + 3*t^4.719 + t^4.785 + 2*t^5.058 + 3*t^5.124 + t^5.19 + t^5.256 + 2*t^5.529 + 3*t^5.595 + t^5.661 + 3*t^5.934 - t^6. - t^4.281/y - t^4.281*y	detail
2703	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{1}M_{3}$ + ${ }M_{1}M_{6}$ + ${ }M_{7}\phi_{1}q_{2}^{2}$ + ${ }\phi_{1}\tilde{q}_{1}^{2}$	0.6887	0.8828	0.7801	[M:[1.1902, 0.7533, 0.8098, 1.1337, 0.8663, 0.8098, 0.7608], q:[0.4331, 0.3766], qb:[0.7571, 0.4896], phi:[0.4859]]	t^2.26 + t^2.282 + 2*t^2.429 + t^2.599 + t^2.768 + t^2.915 + t^3.401 + t^3.887 + 2*t^4.056 + t^4.226 + t^4.395 + t^4.52 + t^4.542 + t^4.565 + 2*t^4.689 + 2*t^4.712 + 4*t^4.859 + t^4.881 + 3*t^5.028 + t^5.051 + t^5.175 + 4*t^5.198 + 2*t^5.345 + t^5.367 + t^5.514 + t^5.537 + 2*t^5.684 + t^5.831 - 2*t^6. - t^4.458/y - t^4.458*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
994	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{1}M_{3}$ + ${ }M_{1}M_{6}$	0.708	0.8721	0.8119	[M:[1.0721, 0.8491, 0.9279, 0.9932, 1.0068, 0.9279], q:[0.5034, 0.4245], qb:[0.5687, 0.5822], phi:[0.4803]]	t^2.547 + 2*t^2.784 + t^2.882 + t^2.98 + t^3.02 + t^3.257 + t^3.988 + t^4.225 + t^4.421 + 2*t^4.461 + t^4.657 + t^4.698 + t^4.853 + t^4.894 + t^4.934 + t^5.095 + 2*t^5.331 + t^5.429 + 3*t^5.568 + 2*t^5.666 + t^5.764 + 2*t^5.804 + t^5.861 + t^5.902 - 3*t^6. - t^4.441/y - t^4.441*y	detail